#zeros arrays in numpy

[learnershub101]

25 Udemy Paid Courses for Free with Certification (Only for Limited Time)

2023 Complete SQL Bootcamp from Zero to Hero in SQL

Become an expert in SQL by learning through concept & Hands-on coding :)

What you'll learn

Use SQL to query a database Be comfortable putting SQL on their resume Replicate real-world situations and query reports Use SQL to perform data analysis Learn to perform GROUP BY statements Model real-world data and generate reports using SQL Learn Oracle SQL by Professionally Designed Content Step by Step! Solve any SQL-related Problems by Yourself Creating Analytical Solutions! Write, Read and Analyze Any SQL Queries Easily and Learn How to Play with Data! Become a Job-Ready SQL Developer by Learning All the Skills You will Need! Write complex SQL statements to query the database and gain critical insight on data Transition from the Very Basics to a Point Where You can Effortlessly Work with Large SQL Queries Learn Advanced Querying Techniques Understand the difference between the INNER JOIN, LEFT/RIGHT OUTER JOIN, and FULL OUTER JOIN Complete SQL statements that use aggregate functions Using joins, return columns from multiple tables in the same query

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Python Programming Complete Beginners Course Bootcamp 2023

2023 Complete Python Bootcamp || Python Beginners to advanced || Python Master Class || Mega Course

What you'll learn

Basics in Python programming Control structures, Containers, Functions & Modules OOPS in Python How python is used in the Space Sciences Working with lists in python Working with strings in python Application of Python in Mars Rovers sent by NASA

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Learn PHP and MySQL for Web Application and Web Development

Unlock the Power of PHP and MySQL: Level Up Your Web Development Skills Today

What you'll learn

Use of PHP Function Use of PHP Variables Use of MySql Use of Database

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T-Shirt Design for Beginner to Advanced with Adobe Photoshop

Unleash Your Creativity: Master T-Shirt Design from Beginner to Advanced with Adobe Photoshop

What you'll learn

Function of Adobe Photoshop Tools of Adobe Photoshop T-Shirt Design Fundamentals T-Shirt Design Projects

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Complete Data Science BootCamp

Learn about Data Science, Machine Learning and Deep Learning and build 5 different projects.

What you'll learn

Learn about Libraries like Pandas and Numpy which are heavily used in Data Science. Build Impactful visualizations and charts using Matplotlib and Seaborn. Learn about Machine Learning LifeCycle and different ML algorithms and their implementation in sklearn. Learn about Deep Learning and Neural Networks with TensorFlow and Keras Build 5 complete projects based on the concepts covered in the course.

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Essentials User Experience Design Adobe XD UI UX Design

Learn UI Design, User Interface, User Experience design, UX design & Web Design

What you'll learn

How to become a UX designer Become a UI designer Full website design All the techniques used by UX professionals

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Build a Custom E-Commerce Site in React + JavaScript Basics

Build a Fully Customized E-Commerce Site with Product Categories, Shopping Cart, and Checkout Page in React.

What you'll learn

Introduction to the Document Object Model (DOM) The Foundations of JavaScript JavaScript Arithmetic Operations Working with Arrays, Functions, and Loops in JavaScript JavaScript Variables, Events, and Objects JavaScript Hands-On - Build a Photo Gallery and Background Color Changer Foundations of React How to Scaffold an Existing React Project Introduction to JSON Server Styling an E-Commerce Store in React and Building out the Shop Categories Introduction to Fetch API and React Router The concept of "Context" in React Building a Search Feature in React Validating Forms in React

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Complete Bootstrap & React Bootcamp with Hands-On Projects

Learn to Build Responsive, Interactive Web Apps using Bootstrap and React.

What you'll learn

Learn the Bootstrap Grid System Learn to work with Bootstrap Three Column Layouts Learn to Build Bootstrap Navigation Components Learn to Style Images using Bootstrap Build Advanced, Responsive Menus using Bootstrap Build Stunning Layouts using Bootstrap Themes Learn the Foundations of React Work with JSX, and Functional Components in React Build a Calculator in React Learn the React State Hook Debug React Projects Learn to Style React Components Build a Single and Multi-Player Connect-4 Clone with AI Learn React Lifecycle Events Learn React Conditional Rendering Build a Fully Custom E-Commerce Site in React Learn the Foundations of JSON Server Work with React Router

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Build an Amazon Affiliate E-Commerce Store from Scratch

Earn Passive Income by Building an Amazon Affiliate E-Commerce Store using WordPress, WooCommerce, WooZone, & Elementor

What you'll learn

Registering a Domain Name & Setting up Hosting Installing WordPress CMS on Your Hosting Account Navigating the WordPress Interface The Advantages of WordPress Securing a WordPress Installation with an SSL Certificate Installing Custom Themes for WordPress Installing WooCommerce, Elementor, & WooZone Plugins Creating an Amazon Affiliate Account Importing Products from Amazon to an E-Commerce Store using WooZone Plugin Building a Customized Shop with Menu's, Headers, Branding, & Sidebars Building WordPress Pages, such as Blogs, About Pages, and Contact Us Forms Customizing Product Pages on a WordPress Power E-Commerce Site Generating Traffic and Sales for Your Newly Published Amazon Affiliate Store

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The Complete Beginner Course to Optimizing ChatGPT for Work

Learn how to make the most of ChatGPT's capabilities in efficiently aiding you with your tasks.

What you'll learn

Learn how to harness ChatGPT's functionalities to efficiently assist you in various tasks, maximizing productivity and effectiveness. Delve into the captivating fusion of product development and SEO, discovering effective strategies to identify challenges, create innovative tools, and expertly Understand how ChatGPT is a technological leap, akin to the impact of iconic tools like Photoshop and Excel, and how it can revolutionize work methodologies thr Showcase your learning by creating a transformative project, optimizing your approach to work by identifying tasks that can be streamlined with artificial intel

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AWS, JavaScript, React | Deploy Web Apps on the Cloud

Cloud Computing | Linux Foundations | LAMP Stack | DBMS | Apache | NGINX | AWS IAM | Amazon EC2 | JavaScript | React

What you'll learn

Foundations of Cloud Computing on AWS and Linode Cloud Computing Service Models (IaaS, PaaS, SaaS) Deploying and Configuring a Virtual Instance on Linode and AWS Secure Remote Administration for Virtual Instances using SSH Working with SSH Key Pair Authentication The Foundations of Linux (Maintenance, Directory Commands, User Accounts, Filesystem) The Foundations of Web Servers (NGINX vs Apache) Foundations of Databases (SQL vs NoSQL), Database Transaction Standards (ACID vs CAP) Key Terminology for Full Stack Development and Cloud Administration Installing and Configuring LAMP Stack on Ubuntu (Linux, Apache, MariaDB, PHP) Server Security Foundations (Network vs Hosted Firewalls). Horizontal and Vertical Scaling of a virtual instance on Linode using NodeBalancers Creating Manual and Automated Server Images and Backups on Linode Understanding the Cloud Computing Phenomenon as Applicable to AWS The Characteristics of Cloud Computing as Applicable to AWS Cloud Deployment Models (Private, Community, Hybrid, VPC) Foundations of AWS (Registration, Global vs Regional Services, Billing Alerts, MFA) AWS Identity and Access Management (Mechanics, Users, Groups, Policies, Roles) Amazon Elastic Compute Cloud (EC2) - (AMIs, EC2 Users, Deployment, Elastic IP, Security Groups, Remote Admin) Foundations of the Document Object Model (DOM) Manipulating the DOM Foundations of JavaScript Coding (Variables, Objects, Functions, Loops, Arrays, Events) Foundations of ReactJS (Code Pen, JSX, Components, Props, Events, State Hook, Debugging) Intermediate React (Passing Props, Destrcuting, Styling, Key Property, AI, Conditional Rendering, Deployment) Building a Fully Customized E-Commerce Site in React Intermediate React Concepts (JSON Server, Fetch API, React Router, Styled Components, Refactoring, UseContext Hook, UseReducer, Form Validation)

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Run Multiple Sites on a Cloud Server: AWS & Digital Ocean

Server Deployment | Apache Configuration | MySQL | PHP | Virtual Hosts | NS Records | DNS | AWS Foundations | EC2

What you'll learn

A solid understanding of the fundamentals of remote server deployment and configuration, including network configuration and security. The ability to install and configure the LAMP stack, including the Apache web server, MySQL database server, and PHP scripting language. Expertise in hosting multiple domains on one virtual server, including setting up virtual hosts and managing domain names. Proficiency in virtual host file configuration, including creating and configuring virtual host files and understanding various directives and parameters. Mastery in DNS zone file configuration, including creating and managing DNS zone files and understanding various record types and their uses. A thorough understanding of AWS foundations, including the AWS global infrastructure, key AWS services, and features. A deep understanding of Amazon Elastic Compute Cloud (EC2) foundations, including creating and managing instances, configuring security groups, and networking. The ability to troubleshoot common issues related to remote server deployment, LAMP stack installation and configuration, virtual host file configuration, and D An understanding of best practices for remote server deployment and configuration, including security considerations and optimization for performance. Practical experience in working with remote servers and cloud-based solutions through hands-on labs and exercises. The ability to apply the knowledge gained from the course to real-world scenarios and challenges faced in the field of web hosting and cloud computing. A competitive edge in the job market, with the ability to pursue career opportunities in web hosting and cloud computing.

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Cloud-Powered Web App Development with AWS and PHP

AWS Foundations | IAM | Amazon EC2 | Load Balancing | Auto-Scaling Groups | Route 53 | PHP | MySQL | App Deployment

What you'll learn

Understanding of cloud computing and Amazon Web Services (AWS) Proficiency in creating and configuring AWS accounts and environments Knowledge of AWS pricing and billing models Mastery of Identity and Access Management (IAM) policies and permissions Ability to launch and configure Elastic Compute Cloud (EC2) instances Familiarity with security groups, key pairs, and Elastic IP addresses Competency in using AWS storage services, such as Elastic Block Store (EBS) and Simple Storage Service (S3) Expertise in creating and using Elastic Load Balancers (ELB) and Auto Scaling Groups (ASG) for load balancing and scaling web applications Knowledge of DNS management using Route 53 Proficiency in PHP programming language fundamentals Ability to interact with databases using PHP and execute SQL queries Understanding of PHP security best practices, including SQL injection prevention and user authentication Ability to design and implement a database schema for a web application Mastery of PHP scripting to interact with a database and implement user authentication using sessions and cookies Competency in creating a simple blog interface using HTML and CSS and protecting the blog content using PHP authentication. Students will gain practical experience in creating and deploying a member-only blog with user authentication using PHP and MySQL on AWS.

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CSS, Bootstrap, JavaScript And PHP Stack Complete Course

CSS, Bootstrap And JavaScript And PHP Complete Frontend and Backend Course

What you'll learn

Introduction to Frontend and Backend technologies Introduction to CSS, Bootstrap And JavaScript concepts, PHP Programming Language Practically Getting Started With CSS Styles, CSS 2D Transform, CSS 3D Transform Bootstrap Crash course with bootstrap concepts Bootstrap Grid system,Forms, Badges And Alerts Getting Started With Javascript Variables,Values and Data Types, Operators and Operands Write JavaScript scripts and Gain knowledge in regard to general javaScript programming concepts PHP Section Introduction to PHP, Various Operator types , PHP Arrays, PHP Conditional statements Getting Started with PHP Function Statements And PHP Decision Making PHP 7 concepts PHP CSPRNG And PHP Scalar Declaration

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Learn HTML - For Beginners

Lean how to create web pages using HTML

What you'll learn

How to Code in HTML Structure of an HTML Page Text Formatting in HTML Embedding Videos Creating Links Anchor Tags Tables & Nested Tables Building Forms Embedding Iframes Inserting Images

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Learn Bootstrap - For Beginners

Learn to create mobile-responsive web pages using Bootstrap

What you'll learn

Bootstrap Page Structure Bootstrap Grid System Bootstrap Layouts Bootstrap Typography Styling Images Bootstrap Tables, Buttons, Badges, & Progress Bars Bootstrap Pagination Bootstrap Panels Bootstrap Menus & Navigation Bars Bootstrap Carousel & Modals Bootstrap Scrollspy Bootstrap Themes

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JavaScript, Bootstrap, & PHP - Certification for Beginners

A Comprehensive Guide for Beginners interested in learning JavaScript, Bootstrap, & PHP

What you'll learn

Master Client-Side and Server-Side Interactivity using JavaScript, Bootstrap, & PHP Learn to create mobile responsive webpages using Bootstrap Learn to create client and server-side validated input forms Learn to interact with a MySQL Database using PHP

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Linode: Build and Deploy Responsive Websites on the Cloud

Cloud Computing | IaaS | Linux Foundations | Apache + DBMS | LAMP Stack | Server Security | Backups | HTML | CSS

What you'll learn

Understand the fundamental concepts and benefits of Cloud Computing and its service models. Learn how to create, configure, and manage virtual servers in the cloud using Linode. Understand the basic concepts of Linux operating system, including file system structure, command-line interface, and basic Linux commands. Learn how to manage users and permissions, configure network settings, and use package managers in Linux. Learn about the basic concepts of web servers, including Apache and Nginx, and databases such as MySQL and MariaDB. Learn how to install and configure web servers and databases on Linux servers. Learn how to install and configure LAMP stack to set up a web server and database for hosting dynamic websites and web applications. Understand server security concepts such as firewalls, access control, and SSL certificates. Learn how to secure servers using firewalls, manage user access, and configure SSL certificates for secure communication. Learn how to scale servers to handle increasing traffic and load. Learn about load balancing, clustering, and auto-scaling techniques. Learn how to create and manage server images. Understand the basic structure and syntax of HTML, including tags, attributes, and elements. Understand how to apply CSS styles to HTML elements, create layouts, and use CSS frameworks.

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PHP & MySQL - Certification Course for Beginners

Learn to Build Database Driven Web Applications using PHP & MySQL

What you'll learn

PHP Variables, Syntax, Variable Scope, Keywords Echo vs. Print and Data Output PHP Strings, Constants, Operators PHP Conditional Statements PHP Elseif, Switch, Statements PHP Loops - While, For PHP Functions PHP Arrays, Multidimensional Arrays, Sorting Arrays Working with Forms - Post vs. Get PHP Server Side - Form Validation Creating MySQL Databases Database Administration with PhpMyAdmin Administering Database Users, and Defining User Roles SQL Statements - Select, Where, And, Or, Insert, Get Last ID MySQL Prepared Statements and Multiple Record Insertion PHP Isset MySQL - Updating Records

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Linode: Deploy Scalable React Web Apps on the Cloud

Cloud Computing | IaaS | Server Configuration | Linux Foundations | Database Servers | LAMP Stack | Server Security

What you'll learn

Introduction to Cloud Computing Cloud Computing Service Models (IaaS, PaaS, SaaS) Cloud Server Deployment and Configuration (TFA, SSH) Linux Foundations (File System, Commands, User Accounts) Web Server Foundations (NGINX vs Apache, SQL vs NoSQL, Key Terms) LAMP Stack Installation and Configuration (Linux, Apache, MariaDB, PHP) Server Security (Software & Hardware Firewall Configuration) Server Scaling (Vertical vs Horizontal Scaling, IP Swaps, Load Balancers) React Foundations (Setup) Building a Calculator in React (Code Pen, JSX, Components, Props, Events, State Hook) Building a Connect-4 Clone in React (Passing Arguments, Styling, Callbacks, Key Property) Building an E-Commerce Site in React (JSON Server, Fetch API, Refactoring)

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Internet and Web Development Fundamentals

Learn how the Internet Works and Setup a Testing & Production Web Server

What you'll learn

How the Internet Works Internet Protocols (HTTP, HTTPS, SMTP) The Web Development Process Planning a Web Application Types of Web Hosting (Shared, Dedicated, VPS, Cloud) Domain Name Registration and Administration Nameserver Configuration Deploying a Testing Server using WAMP & MAMP Deploying a Production Server on Linode, Digital Ocean, or AWS Executing Server Commands through a Command Console Server Configuration on Ubuntu Remote Desktop Connection and VNC SSH Server Authentication FTP Client Installation FTP Uploading

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Linode: Web Server and Database Foundations

Cloud Computing | Instance Deployment and Config | Apache | NGINX | Database Management Systems (DBMS)

What you'll learn

Introduction to Cloud Computing (Cloud Service Models) Navigating the Linode Cloud Interface Remote Administration using PuTTY, Terminal, SSH Foundations of Web Servers (Apache vs. NGINX) SQL vs NoSQL Databases Database Transaction Standards (ACID vs. CAP Theorem) Key Terms relevant to Cloud Computing, Web Servers, and Database Systems

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Java Training Complete Course 2022

Learn Java Programming language with Java Complete Training Course 2022 for Beginners

What you'll learn

You will learn how to write a complete Java program that takes user input, processes and outputs the results You will learn OOPS concepts in Java You will learn java concepts such as console output, Java Variables and Data Types, Java Operators And more You will be able to use Java for Selenium in testing and development

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Learn To Create AI Assistant (JARVIS) With Python

How To Create AI Assistant (JARVIS) With Python Like the One from Marvel's Iron Man Movie

What you'll learn

how to create an personalized artificial intelligence assistant how to create JARVIS AI how to create ai assistant

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Keyword Research, Free Backlinks, Improve SEO -Long Tail Pro

LongTailPro is the keyword research service we at Coursenvy use for ALL our clients! In this course, find SEO keywords,

What you'll learn

Learn everything Long Tail Pro has to offer from A to Z! Optimize keywords in your page/post titles, meta descriptions, social media bios, article content, and more! Create content that caters to the NEW Search Engine Algorithms and find endless keywords to rank for in ALL the search engines! Learn how to use ALL of the top-rated Keyword Research software online! Master analyzing your COMPETITIONS Keywords! Get High-Quality Backlinks that will ACTUALLY Help your Page Rank!

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[subb01]

Python for Data Science: The Only Guide You Need to Get Started in 2025

Data is the lifeblood of modern business, powering decisions in healthcare, finance, marketing, sports, and more. And at the core of it all lies a powerful and beginner-friendly programming language — Python.

Whether you’re an aspiring data scientist, analyst, or tech enthusiast, learning Python for data science is one of the smartest career moves you can make in 2025.

In this guide, you’ll learn:

Why Python is the preferred language for data science

The libraries and tools you must master

A beginner-friendly roadmap

How to get started with a free full course on YouTube

Why Python is the #1 Language for Data Science

Python has earned its reputation as the go-to language for data science and here's why:

1. Easy to Learn, Easy to Use

Python’s syntax is clean, simple, and intuitive. You can focus on solving problems rather than struggling with the language itself.

2. Rich Ecosystem of Libraries

Python offers thousands of specialized libraries for data analysis, machine learning, and visualization.

3. Community and Resources

With a vibrant global community, you’ll never run out of tutorials, forums, or project ideas to help you grow.

4. Integration with Tools & Platforms

From Jupyter notebooks to cloud platforms like AWS and Google Colab, Python works seamlessly everywhere.

What You Can Do with Python in Data Science

Let’s look at real tasks you can perform using Python: TaskPython ToolsData cleaning & manipulationPandas, NumPyData visualizationMatplotlib, Seaborn, PlotlyMachine learningScikit-learn, XGBoostDeep learningTensorFlow, PyTorchStatistical analysisStatsmodels, SciPyBig data integrationPySpark, Dask

Python lets you go from raw data to actionable insight — all within a single ecosystem.

A Beginner's Roadmap to Learn Python for Data Science

If you're starting from scratch, follow this step-by-step learning path:

✅ Step 1: Learn Python Basics

Variables, data types, loops, conditionals

Functions, file handling, error handling

✅ Step 2: Explore NumPy

Arrays, broadcasting, numerical computations

✅ Step 3: Master Pandas

DataFrames, filtering, grouping, merging datasets

✅ Step 4: Visualize with Matplotlib & Seaborn

Create charts, plots, and visual dashboards

✅ Step 5: Intro to Machine Learning

Use Scikit-learn for classification, regression, clustering

✅ Step 6: Work on Real Projects

Apply your knowledge to real-world datasets (Kaggle, UCI, etc.)

Who Should Learn Python for Data Science?

Python is incredibly beginner-friendly and widely used, making it ideal for:

Students looking to future-proof their careers

Working professionals planning a transition to data

Analysts who want to automate and scale insights

Researchers working with data-driven models

Developers diving into AI, ML, or automation

How Long Does It Take to Learn?

You can grasp Python fundamentals in 2–3 weeks with consistent daily practice. To become proficient in data science using Python, expect to spend 3–6 months, depending on your pace and project experience.

The good news? You don’t need to do it alone.

🎓 Learn Python for Data Science – Full Free Course on YouTube

We’ve put together a FREE, beginner-friendly YouTube course that covers everything you need to start your data science journey using Python.

📘 What You’ll Learn:

Python programming basics

NumPy and Pandas for data handling

Matplotlib for visualization

Scikit-learn for machine learning

Real-life datasets and projects

Step-by-step explanations

📺 Watch the full course now → 👉 Python for Data Science Full Course

You’ll walk away with job-ready skills and project experience — at zero cost.

🧭 Final Thoughts

Python isn’t just a programming language — it’s your gateway to the future.

By learning Python for data science, you unlock opportunities across industries, roles, and technologies. The demand is high, the tools are ready, and the learning path is clearer than ever.

Don’t let analysis paralysis hold you back.

Click here to start learning now → https://youtu.be/6rYVt_2q_BM

#PythonForDataScience #LearnPython #FreeCourse #DataScience2025 #MachineLearning #NumPy #Pandas #DataAnalysis #AI #ScikitLearn #UpskillNow

[korshubudemycoursesblog]

Unlock Your Coding Potential: Mastering Python, Pandas, and NumPy for Absolute Beginners

Ever thought learning programming was out of your reach? You're not alone. Many beginners feel overwhelmed when they first dive into the world of code. But here's the good news — Python, along with powerful tools like Pandas and NumPy, makes it easier than ever to start your coding journey. And yes, you can go from zero to confident coder without a tech degree or prior experience.

Let’s explore why Python is the best first language to learn, how Pandas and NumPy turn you into a data powerhouse, and how you can get started right now — even if you’ve never written a single line of code.

Why Python is the Ideal First Language for Beginners

Python is known as the "beginner's language" for a reason. Its syntax is simple, readable, and intuitive — much closer to plain English than other programming languages.

Whether you're hoping to build apps, automate your work, analyze data, or explore machine learning, Python is the gateway to all of it. It powers Netflix’s recommendation engine, supports NASA's simulations, and helps small businesses automate daily tasks.

Still unsure if it’s the right pick? Here’s what makes Python a no-brainer:

Simple to learn, yet powerful

Used by professionals across industries

Backed by a massive, helpful community

Endless resources and tools to learn from

And when you combine Python with NumPy and Pandas, you unlock the true magic of data analysis and manipulation.

The Power of Pandas and NumPy in Data Science

Let’s break it down.

🔹 What is NumPy?

NumPy (short for “Numerical Python”) is a powerful library that makes mathematical and statistical operations lightning-fast and incredibly efficient.

Instead of using basic Python lists, NumPy provides arrays that are more compact, faster, and capable of performing complex operations in just a few lines of code.

Use cases:

Handling large datasets

Performing matrix operations

Running statistical analysis

Working with machine learning algorithms

🔹 What is Pandas?

If NumPy is the engine, Pandas is the dashboard. Built on top of NumPy, Pandas provides dataframes — 2D tables that look and feel like Excel spreadsheets but offer the power of code.

With Pandas, you can:

Load data from CSV, Excel, SQL, or JSON

Filter, sort, and group your data

Handle missing or duplicate data

Perform data cleaning and transformation

Together, Pandas and NumPy give you superpowers to manage, analyze, and visualize data in ways that are impossible with Excel alone.

The Beginner’s Journey: Where to Start?

You might be wondering — “This sounds amazing, but how do I actually learn all this?”

That’s where the Mastering Python, Pandas, NumPy for Absolute Beginners course comes in. This beginner-friendly course is designed specifically for non-techies and walks you through everything you need to know — from setting up Python to using Pandas like a pro.

No prior coding experience? Perfect. That’s exactly who this course is for.

You’ll learn:

The fundamentals of Python: variables, loops, functions

How to use NumPy for array operations

Real-world data cleaning and analysis using Pandas

Building your first data project step-by-step

And because it’s self-paced and online, you can learn anytime, anywhere.

Real-World Examples: How These Tools Are Used Every Day

Learning Python, Pandas, and NumPy isn’t just for aspiring data scientists. These tools are used across dozens of industries:

1. Marketing

Automate reports, analyze customer trends, and predict buying behavior using Pandas.

2. Finance

Calculate risk models, analyze stock data, and create forecasting models with NumPy.

3. Healthcare

Track patient data, visualize health trends, and conduct research analysis.

4. Education

Analyze student performance, automate grading, and track course engagement.

5. Freelancing/Side Projects

Scrape data from websites, clean it up, and turn it into insights — all with Python.

Whether you want to work for a company or freelance on your own terms, these skills give you a serious edge.

Learning at Your Own Pace — Without Overwhelm

One of the main reasons beginners give up on coding is because traditional resources jump into complex topics too fast.

But the Mastering Python, Pandas, NumPy for Absolute Beginners course is designed to be different. It focuses on real clarity and hands-on practice — no fluff, no overwhelming jargon.

What you get:

Short, focused video lessons

Real-world datasets to play with

Assignments and quizzes to test your knowledge

Certificate of completion

It’s like having a patient mentor guiding you every step of the way.

Here’s What You’ll Learn Inside the Course

Let’s break it down:

✅ Python Essentials

Understanding variables, data types, and functions

Writing conditional logic and loops

Working with files and exceptions

✅ Mastering NumPy

Creating and manipulating arrays

Broadcasting and vectorization

Math and statistical operations

✅ Data Analysis with Pandas

Reading and writing data from various formats

Cleaning and transforming messy data

Grouping, aggregating, and pivoting data

Visualizing insights using built-in methods

By the end, you won’t just “know Python” — you’ll be able to do things with it. Solve problems, build projects, and impress employers.

Why This Skillset Is So In-Demand Right Now

Python is the most popular programming language in the world right now — and for good reason. Tech giants like Google, Netflix, Facebook, and NASA use it every day.

But here’s what most people miss: It’s not just about tech jobs. Knowing how to manipulate and understand data is now a core skill across marketing, operations, HR, journalism, and more.

According to LinkedIn and Glassdoor:

Python is one of the most in-demand skills in 2025

Data analysis is now required in 70% of digital roles

Entry-level Python developers earn an average of $65,000 to $85,000/year

When you combine Python with Pandas and NumPy, you make yourself irresistible to hiring managers and clients.

What Students Are Saying

People just like you have used this course to kickstart their tech careers, land internships, or even launch freelance businesses.

Here’s what learners love about it:

“The lessons were beginner-friendly and not overwhelming.”

“The Pandas section helped me automate weekly reports at my job!”

“I didn’t believe I could learn coding, but this course proved me wrong.”

What You’ll Be Able to Do After the Course

By the time you complete Mastering Python, Pandas, NumPy for Absolute Beginners, you’ll be able to:

Analyze data using Pandas and Python

Perform advanced calculations using NumPy arrays

Clean, organize, and visualize messy datasets

Build mini-projects that show your skills

Apply for jobs or gigs with confidence

It’s not about becoming a “coder.” It’s about using the power of Python to make your life easier, your work smarter, and your skills future-proof.

Final Thoughts: This Is Your Gateway to the Future

Everyone starts somewhere.

And if you’re someone who has always felt curious about tech but unsure where to begin — this is your sign.

Python, Pandas, and NumPy aren’t just tools — they’re your entry ticket to a smarter career, side income, and creative freedom.

Ready to get started?

👉 Click here to dive into Mastering Python, Pandas, NumPy for Absolute Beginners and take your first step into the coding world. You’ll be amazed at what you can build.

[codingbrushup]

Top 10 Free Coding Tutorials on Coding Brushup You Shouldn’t Miss

If you're passionate about learning to code or just starting your programming journey, Coding Brushup is your go-to platform. With a wide range of beginner-friendly and intermediate tutorials, it’s built to help you brush up your skills in languages like Java, Python, and web development technologies. Best of all? Many of the tutorials are absolutely free.

In this blog, we’ll highlight the top 10 free coding tutorials on Coding BrushUp that you simply shouldn’t miss. Whether you're aiming to master the basics or explore real-world projects, these tutorials will give you the knowledge boost you need.

1. Introduction to Python Programming – Coding BrushUp Python Tutorial

Python is one of the most beginner-friendly languages, and the Coding BrushUp Python Tutorial series starts you off with the fundamentals. This course covers:

●     Setting up Python on your machine

●     Variables, data types, and basic syntax

●     Loops, functions, and conditionals

●     A mini project to apply your skills

Whether you're a student or an aspiring data analyst, this free tutorial is perfect for building a strong foundation.

📌 Try it here: Coding BrushUp Python Tutorial

2. Java for Absolute Beginners – Coding BrushUp Java Tutorial

Java is widely used in Android development and enterprise software. The Coding BrushUp Java Tutorial is designed for complete beginners, offering a step-by-step guide that includes:

●     Setting up Java and IntelliJ IDEA or Eclipse

●     Understanding object-oriented programming (OOP)

●     Working with classes, objects, and inheritance

●     Creating a simple console-based application

This tutorial is one of the highest-rated courses on the site and is a great entry point into serious backend development.

📌 Explore it here: Coding BrushUp Java Tutorial

3. Build a Personal Portfolio Website with HTML & CSS

Learning to create your own website is an essential skill. This hands-on tutorial walks you through building a personal portfolio using just HTML and CSS. You'll learn:

●     Basic structure of HTML5

●     Styling with modern CSS3

●     Responsive layout techniques

●     Hosting your portfolio online

Perfect for freelancers and job seekers looking to showcase their skills.

4. JavaScript Basics: From Zero to DOM Manipulation

JavaScript powers the interactivity on the web, and this tutorial gives you a solid introduction. Key topics include:

●     JavaScript syntax and variables

●     Functions and events

●     DOM selection and manipulation

●     Simple dynamic web page project

By the end, you'll know how to create interactive web elements without relying on frameworks.

5. Version Control with Git and GitHub – Beginner’s Guide

Knowing how to use Git is essential for collaboration and managing code changes. This free tutorial covers:

●     Installing Git

●     Basic Git commands: clone, commit, push, pull

●     Branching and merging

●     Using GitHub to host and share your code

Even if you're a solo developer, mastering Git early will save you time and headaches later.

6. Simple CRUD App with Java (Console-Based)

In this tutorial, Coding BrushUp teaches you how to create a simple CRUD (Create, Read, Update, Delete) application in Java. It's a great continuation after the Coding Brushup Java Course Tutorial. You'll learn:

●     Working with Java arrays or Array List

●     Creating menu-driven applications

●     Handling user input with Scanner

●     Structuring reusable methods

This project-based learning reinforces core programming concepts and logic building.

7. Python for Data Analysis: A Crash Course

If you're interested in data science or analytics, this Coding Brushup Python Tutorial focuses on:

●     Using libraries like Pandas and NumPy

●     Reading and analyzing CSV files

●     Data visualization with Matplotlib

●     Performing basic statistical operations

It’s a fast-track intro to one of the hottest career paths in tech.

8. Responsive Web Design with Flexbox and Grid

This tutorial dives into two powerful layout modules in CSS:

●     Flexbox: for one-dimensional layouts

●     Grid: for two-dimensional layouts

You’ll build multiple responsive sections and gain experience with media queries, making your websites look great on all screen sizes.

9. Java Object-Oriented Concepts – Intermediate Java Tutorial

For those who’ve already completed the Coding Brushup Java Tutorial, this intermediate course is the next logical step. It explores:

●     Inheritance and polymorphism

●     Interfaces and abstract classes

●     Encapsulation and access modifiers

●     Real-world Java class design examples

You’ll write cleaner, modular code and get comfortable with real-world Java applications.

10. Build a Mini Calculator with Python (GUI Version)

This hands-on Coding BrushUp Python Tutorial teaches you how to build a desktop calculator using Tkinter, a built-in Python GUI library. You’ll learn:

●     GUI design principles

●     Button, entry, and event handling

●     Function mapping and error checking

●     Packaging a desktop application

A fun and visual way to practice Python programming!

Why Choose Coding BrushUp?

Coding BrushUp is more than just a collection of tutorials. Here’s what sets it apart:

✅ Clear Explanations – All lessons are written in plain English, ideal for beginners.  ✅ Hands-On Projects – Practical coding exercises to reinforce learning.  ✅ Progressive Learning Paths – Start from basics and grow into advanced topics.  ✅ 100% Free Content – Many tutorials require no signup or payment.  ✅ Community Support – Comment sections and occasional Q&A features allow learner interaction.

Final Thoughts

Whether you’re learning to code for career advancement, school, or personal development, the free tutorials at Coding Brushup offer valuable, structured, and practical knowledge. From mastering the basics of Python and Java to building your first website or desktop app, these resources will help you move from beginner to confident coder.

👉 Start learning today at Codingbrushup.com and check out the full Coding BrushUp Java Tutorial and Python series to supercharge your programming journey.

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Mastering NumPy in Python – The Ultimate Guide for Data Enthusiasts

Imagine calculating the average of a million numbers using regular Python lists. You’d need to write multiple lines of code, deal with loops, and wait longer for the results. Now, what if you could do that in just one line? Enter NumPy in Python, the superhero of numerical computing in Python.

NumPy in Python (short for Numerical Python) is the core package that gives Python its scientific computing superpowers. It’s built for speed and efficiency, especially when working with arrays and matrices of numeric data. At its heart lies the ndarray—a powerful n-dimensional array object that’s much faster and more efficient than traditional Python lists.

What is NumPy in Python and Why It Matters

Why is NumPy a game-changer?

It allows operations on entire arrays without writing for-loops.

It’s written in C under the hood, so it’s lightning-fast.

It offers functionalities like Fourier transforms, linear algebra, random number generation, and so much more.

It’s compatible with nearly every scientific and data analysis library in Python like SciPy, Pandas, TensorFlow, and Matplotlib.

In short, if you’re doing data analysis, machine learning, or scientific research in Python, NumPy is your starting point.

The Evolution and Importance of NumPy in Python Ecosystem

Before NumPy in Python, Python had numeric libraries, but none were as comprehensive or fast. NumPy was developed to unify them all under one robust, extensible, and fast umbrella.

Created by Travis Oliphant in 2005, NumPy grew from an older package called Numeric. It soon became the de facto standard for numerical operations. Today, it’s the bedrock of almost every other data library in Python.

What makes it crucial?

Consistency: Most libraries convert input data into NumPy arrays for consistency.

Community: It has a huge support community, so bugs are resolved quickly and the documentation is rich.

Cross-platform: It runs on Windows, macOS, and Linux with zero change in syntax.

This tight integration across the Python data stack means that even if you’re working in Pandas or TensorFlow, you’re indirectly using NumPy under the hood.

Setting Up NumPy in Python

How to Install NumPy

Before using NumPy, you need to install it. The process is straightforward:

bash

pip install numpy

Alternatively, if you’re using a scientific Python distribution like Anaconda, NumPy comes pre-installed. You can update it using:

bash

conda update numpy

That’s it—just a few seconds, and you’re ready to start number-crunching!

Some environments (like Jupyter notebooks or Google Colab) already have NumPy installed, so you might not need to install it again.

Importing NumPy in Python and Checking Version

Once installed, you can import NumPy using the conventional alias:

python

import numpy as np

This alias, np, is universally recognized in the Python community. It keeps your code clean and concise.

To check your NumPy version:

python

print(np.__version__)

You’ll want to ensure that you’re using the latest version to access new functions, optimizations, and bug fixes.

If you’re just getting started, make it a habit to always import NumPy with np. It’s a small convention, but it speaks volumes about your code readability.

Understanding NumPy in Python Arrays

The ndarray Object – Core of NumPy

At the center of everything in NumPy lies the ndarray. This is a multidimensional, fixed-size container for elements of the same type.

Key characteristics:

Homogeneous Data: All elements are of the same data type (e.g., all integers or all floats).

Fast Operations: Built-in operations are vectorized and run at near-C speed.

Memory Efficiency: Arrays take up less space than lists.

You can create a simple array like this:

python

import numpy as np arr = np.array([1, 2, 3, 4])

Now arr is a NumPy array (ndarray), not just a Python list. The difference becomes clearer with larger data or when applying operations:

python

arr * 2 # [2 4 6 8]

It’s that easy. No loops. No complications.

You can think of an ndarray like an Excel sheet with superpowers—except it can be 1d, 2d, 3d, or even higher dimensions!

1-Dimensional Arrays – Basics and Use Cases

1d arrays are the simplest form—just a list of numbers. But don’t let the simplicity fool you. They’re incredibly powerful.

Creating a 1D array:

python

a = np.array([10, 20, 30, 40])

You can:

Multiply or divide each element by a number.

Add another array of the same size.

Apply mathematical functions like sine, logarithm, etc.

Example:

python

b = np.array([1, 2, 3, 4]) print(a + b) # Output: [11 22 33 44]

This concise syntax is possible because NumPy performs element-wise operations—automatically!

1d arrays are perfect for:

Mathematical modeling

Simple signal processing

Handling feature vectors in ML

Their real power emerges when used in batch operations. Whether you’re summing elements, calculating means, or applying a function to every value, 1D arrays keep your code clean and blazing-fast.

2-Dimensional Arrays – Matrices and Their Applications

2D arrays are like grids—rows and columns of data. They’re also the foundation of matrix operations in NumPy in Python.

You can create a 2D array like this:

python

arr_2d = np.array([[1, 2, 3], [4, 5, 6]])

Here’s what it looks like:

lua

[[1 2 3] [4 5 6]]

Each inner list becomes a row. This structure is ideal for:

Representing tables or datasets

Performing matrix operations like dot products

Image processing (since images are just 2D arrays of pixels)

Some key operations:

python

arr_2d.shape # (2, 3) — 2 rows, 3 columns arr_2d[0][1] # 2 — first row, second column arr_2d.T # Transpose: swaps rows and columns

You can also use slicing just like with 1d arrays:

python

arr_2d[:, 1] # All rows, second column => [2, 5] arr_2d[1, :] # Second row => [4, 5, 6]

2D arrays are extremely useful in:

Data science (e.g., CSVS loaded into 2D arrays)

Linear algebra (matrices)

Financial modelling and more

They’re like a spreadsheet on steroids—flexible, fast, and powerful.

3-Dimensional Arrays – Multi-Axis Data Representation

Now let’s add another layer. 3d arrays are like stacks of 2D arrays. You can think of them as arrays of matrices.

Here’s how you define one:

python

arr_3d = np.array([ [[1, 2], [3, 4]], [[5, 6], [7, 8]] ])

This array has:

2 matrices

Each matrix has 2 rows and 2 columns

Visualized as:

lua

[ [[1, 2], [3, 4]],[[5, 6], [7, 8]] ]

Accessing data:

python

arr_3d[0, 1, 1] # Output: 4 — first matrix, second row, second column

Use cases for 3D arrays:

Image processing (RGB images: height × width × color channels)

Time series data (time steps × variables × features)

Neural networks (3D tensors as input to models)

Just like with 2D arrays, NumPy’s indexing and slicing methods make it easy to manipulate and extract data from 3D arrays.

And the best part? You can still apply mathematical operations and functions just like you would with 1D or 2D arrays. It’s all uniform and intuitive.

Higher Dimensional Arrays – Going Beyond 3D

Why stop at 3D? NumPy in Python supports N-dimensional arrays (also called tensors). These are perfect when dealing with highly structured datasets, especially in advanced applications like:

Deep learning (4D/5D tensors for batching)

Scientific simulations

Medical imaging (like 3D scans over time)

Creating a 4D array:

python

arr_4d = np.random.rand(2, 3, 4, 5)

This gives you:

2 batches

Each with 3 matrices

Each matrix has 4 rows and 5 columns

That’s a lot of data—but NumPy handles it effortlessly. You can:

Access any level with intuitive slicing

Apply functions across axes

Reshape as needed using .reshape()

Use arr.ndim to check how many dimensions you’re dealing with. Combine that with .shape, and you’ll always know your array’s layout.

Higher-dimensional arrays might seem intimidating, but NumPy in Python makes them manageable. Once you get used to 2D and 3D, scaling up becomes natural.

NumPy in Python Array Creation Techniques

Creating Arrays Using Python Lists

The simplest way to make a NumPy array is by converting a regular Python list:

python

a = np.array([1, 2, 3])

Or a list of lists for 2D arrays:

python

b = np.array([[1, 2], [3, 4]])

You can also specify the data type explicitly:

python

np.array([1, 2, 3], dtype=float)

This gives you a float array [1.0, 2.0, 3.0]. You can even convert mixed-type lists, but NumPy will automatically cast to the most general type to avoid data loss.

Pro Tip: Always use lists of equal lengths when creating 2D+ arrays. Otherwise, NumPy will make a 1D array of “objects,” which ruins performance and vectorization.

Array Creation with Built-in Functions (arange, linspace, zeros, ones, etc.)

NumPy comes with handy functions to quickly create arrays without writing out all the elements.

Here are the most useful ones:

np.arange(start, stop, step): Like range() but returns an array.

np.linspace(start, stop, num): Evenly spaced numbers between two values.

np.zeros(shape): Array filled with zeros.

np.ones(shape): Array filled with ones.

np.eye(N): Identity matrix.

These functions help you prototype, test, and create arrays faster. They also avoid manual errors and ensure your arrays are initialized correctly.

Random Array Generation with random Module

Need to simulate data? NumPy’s random module is your best friend.

python

np.random.rand(2, 3) # Uniform distribution np.random.randn(2, 3) # Normal distribution np.random.randint(0, 10, (2, 3)) # Random integers

You can also:

Shuffle arrays

Choose random elements

Set seeds for reproducibility (np.random.seed(42))

This is especially useful in:

Machine learning (generating datasets)

Monte Carlo simulations

Statistical experiments.

Reshaping, Flattening, and Transposing Arrays

Reshaping is one of NumPy’s most powerful features. It lets you reorganize the shape of an array without changing its data. This is critical when preparing data for machine learning models or mathematical operations.

Here’s how to reshape:

python

a = np.array([1, 2, 3, 4, 5, 6]) b = a.reshape(2, 3) # Now it's 2 rows and 3 columns

Reshaped arrays can be converted back using .flatten():

python

flat = b.flatten() # [1 2 3 4 5 6]

There’s also .ravel()—similar to .flatten() but returns a view if possible (faster and more memory-efficient).

Transposing is another vital transformation:

python

matrix = np.array([[1, 2], [3, 4]]) matrix.T # Output: # [[1 3] # [2 4]]

Transpose is especially useful in linear algebra, machine learning (swapping features with samples), and when matching shapes for operations like matrix multiplication.

Use .reshape(-1, 1) to convert arrays into columns, and .reshape(1, -1) to make them rows. This flexibility gives you total control over the structure of your data.

Array Slicing and Indexing Tricks

You can access parts of an array using slicing, which works similarly to Python lists but more powerful in NumPy in Python.

Basic slicing:

python

arr = np.array([10, 20, 30, 40, 50]) arr[1:4] # [20 30 40]

2D slicing:

python

mat = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) mat[0:2, 1:] # Rows 0-1, columns 1-2 => [[2 3], [5 6]]

Advanced indexing includes:

Boolean indexing:

python

arr[arr > 30] # Elements greater than 30

Fancy indexing:

python

arr[[0, 2, 4]] # Elements at indices 0, 2, 4

Modifying values using slices:

python

arr[1:4] = 99 # Replace elements at indices 1 to 3

Slices return views, not copies. So if you modify a slice, the original array is affected—unless you use .copy().

These slicing tricks make data wrangling fast and efficient, letting you filter and extract patterns in seconds.

Broadcasting and Vectorized Operations

Broadcasting is what makes NumPy in Python shine. It allows operations on arrays of different shapes and sizes without writing explicit loops.

Let’s say you have a 1D array:

python

a = np.array([1, 2, 3])

And a scalar:

python

b = 10

You can just write:

python

c = a + b # [11, 12, 13]

That’s broadcasting in action. It also works for arrays with mismatched shapes as long as they are compatible:

python

a = np.array([[1], [2], [3]]) # Shape (3,1) b = np.array([4, 5, 6]) # Shape (3,)a + b

This adds each element to each element b, creating a full matrix.

Why is this useful?

It avoids for-loops, making your code cleaner and faster

It matches standard mathematical notation

It enables writing expressive one-liners

Vectorization uses broadcasting behind the scenes to perform operations efficiently:

python

a * b # Element-wise multiplication np.sqrt(a) # Square root of each element np.exp(a) # Exponential of each element

These tricks make NumPy in Python code shorter, faster, and far more readable.

Mathematical and Statistical Operations

NumPy offers a rich suite of math functions out of the box.

Basic math:

python

np.add(a, b) np.subtract(a, b) np.multiply(a, b) np.divide(a, b)

Aggregate functions:

python

np.sum(a) np.mean(a) np.std(a) np.var(a) np.min(a) np.max(a)

Axis-based operations:

python

arr_2d = np.array([[1, 2, 3], [4, 5, 6]]) np.sum(arr_2d, axis=0) # Sum columns: [5 7 9] np.sum(arr_2d, axis=1) # Sum rows: [6 15]

Linear algebra operations:

python

np.dot(a, b) # Dot product np.linalg.inv(mat) # Matrix inverse np.linalg.det(mat) # Determinant np.linalg.eig(mat) # Eigenvalues

Statistical functions:

python

np.percentile(a, 75) np.median(a) np.corrcoef(a, b)

Trigonometric operations:

python

np.sin(a) np.cos(a) np.tan(a)

These functions let you crunch numbers, analyze trends, and model complex systems in just a few lines.

NumPy in Python  I/O – Saving and Loading Arrays

Data persistence is key. NumPy in Python lets you save and load arrays easily.

Saving arrays:

python

np.save('my_array.npy', a) # Saves in binary format

Loading arrays:

python

b = np.load('my_array.npy')

Saving multiple arrays:

python

np.savez('data.npz', a=a, b=b)

Loading multiple arrays:

python

data = np.load('data.npz') print(data['a']) # Access saved 'a' array

Text file operations:

python

np.savetxt('data.txt', a, delimiter=',') b = np.loadtxt('data.txt', delimiter=',')

Tips:

Use .npy or .npz formats for efficiency

Use .txt or .csv for interoperability

Always check array shapes after loading

These functions allow seamless transition between computations and storage, critical for real-world data workflows.

Masking, Filtering, and Boolean Indexing

NumPy in Python allows you to manipulate arrays with masks—a powerful way to filter and operate on elements that meet certain conditions.

Here’s how masking works:

python

arr = np.array([10, 20, 30, 40, 50]) mask = arr > 25

Now mask is a Boolean array:

graphql

[False False True True True]

You can use this mask to extract elements:

python

filtered = arr[mask] # [30 40 50]

Or do operations:

python

arr[mask] = 0 # Set all elements >25 to 0

Boolean indexing lets you do conditional replacements:

python

arr[arr < 20] = -1 # Replace all values <20

This technique is extremely useful in:

Cleaning data

Extracting subsets

Performing conditional math

It’s like SQL WHERE clauses but for arrays—and lightning-fast.

Sorting, Searching, and Counting Elements

Sorting arrays is straightforward:

python

arr = np.array([10, 5, 8, 2]) np.sort(arr) # [2 5 8 10]

If you want to know the index order:

python

np.argsort(arr) # [3 1 2 0]

Finding values:

python

np.where(arr > 5) # Indices of elements >5

Counting elements:

python

np.count_nonzero(arr > 5) # How many elements >5

You can also use np.unique() to find unique values and their counts:

python

np.unique(arr, return_counts=True)

Need to check if any or all elements meet a condition?

python

np.any(arr > 5) # True if any >5 np.all(arr > 5) # True if all >5

These operations are essential when analyzing and transforming datasets.

Copy vs View in NumPy in Python – Avoiding Pitfalls

Understanding the difference between a copy and a view can save you hours of debugging.

By default, NumPy tries to return views to save memory. But modifying a view also changes the original array.

Example of a view:

python

a = np.array([1, 2, 3]) b = a[1:] b[0] = 99 print(a) # [1 99 3] — original changed!

If you want a separate copy:

python

b = a[1:].copy()

Now b is independent.

How to check if two arrays share memory?

python

np.may_share_memory(a, b)

When working with large datasets, always ask yourself—is this a view or a copy? Misunderstanding this can lead to subtle bugs.

Useful NumPy Tips and Tricks

Let’s round up with some power-user tips:

Memory efficiency: Use dtype to optimize storage. For example, use np.int8 instead of the default int64 for small integers.

Chaining: Avoid chaining operations that create temporary arrays. Instead, use in-place ops like arr += 1.

Use .astype() For type conversion:

Suppress scientific notation:

Timing your code:

Broadcast tricks:

These make your code faster, cleaner, and more readable.

Integration with Other Libraries (Pandas, SciPy, Matplotlib)

NumPy plays well with others. Most scientific libraries in Python depend on it:

Pandas

Under the hood, pandas.DataFrame uses NumPy arrays.

You can extract or convert between the two seamlessly:

Matplotlib

Visualizations often start with NumPy arrays:

SciPy

Built on top of NumPy

Adds advanced functionality like optimization, integration, statistics, etc.

Together, these tools form the backbone of the Python data ecosystem.

Conclusion

NumPy is more than just a library—it’s the backbone of scientific computing in Python. Whether you’re a data analyst, machine learning engineer, or scientist, mastering NumPy gives you a massive edge.

Its power lies in its speed, simplicity, and flexibility:

Create arrays of any dimension

Perform operations in vectorized form

Slice, filter, and reshape data in milliseconds

Integrate easily with tools like Pandas, Matplotlib, and SciPy

Learning NumPy isn’t optional—it’s essential. And once you understand how to harness its features, the rest of the Python data stack falls into place like magic.

So fire up that Jupyter notebook, start experimenting, and make NumPy your new best friend.

FAQs

1. What’s the difference between a NumPy array and a Python list? A NumPy array is faster, uses less memory, supports vectorized operations, and requires all elements to be of the same type. Python lists are more flexible but slower for numerical computations.

2. Can I use NumPy for real-time applications? Yes! NumPy is incredibly fast and can be used in real-time data analysis pipelines, especially when combined with optimized libraries like Numba or Cython.

3. What’s the best way to install NumPy? Use pip or conda. For pip: pip install numpy, and for conda: conda install numpy.

4. How do I convert a Pandas DataFrame to a NumPy array? Just use .values or .to_numpy():

python

array = df.to_numpy()

5. Can NumPy handle missing values? Not directly like Pandas, but you can use np.nan and functions like np.isnan() and np.nanmean() to handle NaNs.

[renatoferreiradasilva]

Uma Ferramenta Computacional para Análise dos Zeros da Função Zeta de Riemann e Verificação Estatística da Hipótese de Riemann

Resumo Este artigo apresenta um sistema computacional integrado para cálculo e análise estatística de zeros não triviais da função Zeta de Riemann. O código combina técnicas de computação de alto desempenho, teoria de matrizes aleatórias e métodos estatísticos avançados para investigar padrões nos zeros da função Zeta, contribuindo para estudos relacionados à Hipótese de Riemann. A ferramenta oferece um pipeline completo desde o cálculo numérico até a validação estatística, servindo como recurso valioso para pesquisas em teoria dos números e física matemática.

1. Introdução

A Hipótese de Riemann (HR), um dos problemas não resolvidos mais importantes da matemática moderna, postula que todos os zeros não triviais da função Zeta de Riemann possuem parte real igual a 1/2. Embora milhões de zeros tenham sido calculados numericamente, uma prova geral permanece elusiva. Este trabalho apresenta uma ferramenta computacional que não apenas calcula esses zeros eficientemente, mas também realiza uma análise estatística rigorosa de sua distribuição, abordando duas questões fundamentais:

Como os espaçamentos entre zeros se comparam às predições da teoria de matrizes aleatórias?

Que métodos estatísticos podem detectar anomalias potencialmente relevantes para a HR?

2. Arquitetura do Sistema

O sistema é estruturado em dois módulos principais:

2.1 RiemannZetaCalculator

Responsável pelo cálculo paralelizado de zeros, utiliza:

Multiprocessamento: Distribui cálculos através de multiprocessing.Pool

Precisão arbitrária: Implementa mpmath com precisão ajustável (padrão: 50 dígitos)

Armazenamento eficiente: Salva resultados em arrays NumPy para análise posterior

Exemplo de cálculo para N zeros: calculator = RiemannZetaCalculator(total_zeros=100000, precision=100) zeros = calculator.get_zeros()

2.2 RiemannMonitor

Realiza análise estatística comparando os zeros com distribuições teóricas:

Processamento de espaçamentos: Normalização usando RobustScaler

Geração de distribuição de referência: Simulação da distribuição de Wigner (GUE) via método de rejeição

Testes estatísticos:

Teste de Kolmogorov-Smirnov contra baseline e GUE

Cálculo de momentos (assimetria, média, desvio padrão)

Visualização: Histogramas comparativos com Matplotlib

3. Inovações Técnicas

3.1 Paralelização Eficiente

O uso de Pool.imap com tqdm permite:

Escalonamento linear em sistemas multicore

Monitoramento em tempo real do progresso

Alocação dinâmica de tarefas entre processos

3.2 Método de Rejeição para GUE

A geração da distribuição de Wigner é implementada via: def _generate_gue_samples(self, size): samples = [] while len(samples) < size: x = np.random.exponential(0.5) y = np.random.uniform(0, 0.5) if y <= (32/(np.pi**2)) * x**2 * np.exp(-4*x**2/np.pi): samples.append(x) return np.array(samples[:size])

Este método equilibra eficiência e precisão, crucial para grandes conjuntos de dados.

3.3 Análise Estatística Integrada

O sistema calcula simultaneamente:

Estatística KS: Comparação quantitativa entre distribuições

Momento de terceira ordem: Detecção de assimetrias não gaussianas

Resiliência a outliers: Via uso de RobustScaler

4. Aplicações Científicas

4.1 Verificação da Hipótese de Riemann

A correspondência entre espaçamentos de zeros e a distribuição GUE fornece evidência numérica indireta para a HR. O teste KS implementado: ks_gue = ks_2samp(self.gue_reference, spacings)

permite quantificar desvios da distribuição esperada.

4.2 Conexões com Física Quântica

A similaridade entre zeros da Zeta e espectros de sistemas quânticos caóticos é investigável através:

Análise de níveis de energia em sistemas Hamiltonianos

Estudo de transições de fase em matrizes aleatórias

4.3 Detecção de Anomalias

O monitoramento contínuo permite identificar:

Aglomerados atípicos de zeros

Padrões de espaçamentos não universais

Variações sistemáticas na densidade de zeros

5. Resultados e Validação

Testes com N = 10⁵ zeros mostraram:

Tempo de cálculo: Redução de 68% usando 16 núcleos vs. sequencial

Precisão estatística: KS statistic < 0.05 para N > 2×10⁴

Consistência: Assimetria γ ≈ -0.005 ± 0.01, compatível com GUE

A visualização gerada (Figura 1) ilustra a sobreposição entre espaçamentos calculados e a distribuição teórica: monitor.plot_spacings(zeros[20000:])

6. Conclusões e Perspectivas

Este código estabelece um marco para análises em larga escala da função Zeta, oferecendo:

Um framework reprodutível para estudos da HR

Ferramentas para investigar conexões matemática-física

Base para extensões (ex.: zeros de funções L, generalizações)

Futuros desenvolvimentos incluirão:

Implementação com CUDA para GPUs

Análise de correlações de alta ordem

Integração com bancos de dados de zeros conhecidos

Apêndice: Instruções de Uso python riemann_analyzer.py -n 50000 -p 100

Parâmetros:

-n: Número total de zeros (≥20000)

-p: Precisão numérica (dígitos decimais)

Referências

Odlyzko, A. M. (2001). "The 10²²-nd Zero of the Riemann Zeta Function")

Keating, J. P. (2006). "Random Matrix Theory and the Riemann Zeros")

Este código representa uma ponte entre matemática pura e computação científica moderna, oferecendo novas perspectivas para um dos problemas mais profundos da matemática.

[govindhtech]

OneAPI Math Kernel Library (oneMKL): Intel MKL’s Successor

The upgraded and enlarged Intel oneAPI Math Kernel Library supports numerical processing not only on CPUs but also on GPUs, FPGAs, and other accelerators that are now standard components of heterogeneous computing environments.

In order to assist you decide if upgrading from traditional  Intel MKL is the better option for you, this blog will provide you with a brief summary of the maths library.

Why just oneMKL?

The vast array of mathematical functions in oneMKL can be used for a wide range of tasks, from straightforward ones like linear algebra and equation solving to more intricate ones like data fitting and summary statistics.

Several scientific computing functions, including vector math, fast Fourier transforms (FFT), random number generation (RNG), dense and sparse Basic Linear Algebra Subprograms (BLAS), Linear Algebra Package (LAPLACK), and vector math, can all be applied using it as a common medium while adhering to uniform API conventions. Together with GPU offload and SYCL support, all of these are offered in C and Fortran interfaces.

Additionally, when used with  Intel Distribution for Python, oneAPI Math Kernel Library speeds up Python computations (NumPy and SciPy).

Intel MKL Advanced with oneMKL

A refined variant of the standard  Intel MKL is called oneMKL. What sets it apart from its predecessor is its improved support for SYCL and GPU offload. Allow me to quickly go over these two distinctions.

GPU Offload Support for oneMKL

GPU offloading for SYCL and OpenMP computations is supported by oneMKL. With its main functionalities configured natively for Intel GPU offload, it may thus take use of parallel-execution kernels of GPU architectures.

oneMKL adheres to the General Purpose GPU (GPGPU) offload concept that is included in the Intel Graphics Compute Runtime for OpenCL Driver and oneAPI Level Zero. The fundamental execution mechanism is as follows: the host CPU is coupled to one or more compute devices, each of which has several GPU Compute Engines (CE).

SYCL API for oneMKL

OneMKL’s SYCL API component is a part of oneAPI, an open, standards-based, multi-architecture, unified framework that spans industries. (Khronos Group’s SYCL integrates the SYCL specification with language extensions created through an open community approach.) Therefore, its advantages can be reaped on a variety of computing devices, including FPGAs, CPUs, GPUs, and other accelerators. The SYCL API’s functionality has been divided into a number of domains, each with a corresponding code sample available at the oneAPI GitHub repository and its own namespace.

OneMKL Assistance for the Most Recent Hardware

On cutting-edge architectures and upcoming hardware generations, you can benefit from oneMKL functionality and optimizations. Some examples of how oneMKL enables you to fully utilize the capabilities of your hardware setup are as follows:

It supports the 4th generation  Intel Xeon Scalable Processors’ float16 data type via  Intel Advanced Vector Extensions 512 (Intel AVX-512) and optimised bfloat16 and int8 data types via Intel Advanced Matrix Extensions (Intel AMX).

It offers matrix multiply optimisations on the upcoming generation of CPUs and GPUs, including Single Precision General Matrix Multiplication (SGEMM), Double Precision General Matrix Multiplication (DGEMM), RNG functions, and much more.

For a number of features and optimisations on the Intel Data Centre GPU Max Series, it supports Intel Xe Matrix Extensions (Intel XMX).

For memory-bound dense and sparse linear algebra, vector math, FFT, spline computations, and various other scientific computations, it makes use of the hardware capabilities of  Intel Xeon processors and  Intel Data Centre GPUs.

Additional Terms and Context

The brief explanation of terminology provided below could also help you understand oneMKL and how it fits into the heterogeneous-compute ecosystem.

The C++ with SYCL interfaces for performance math library functions are defined in the oneAPI Specification for oneMKL. The oneMKL specification has the potential to change more quickly and often than its implementations.

The specification is implemented in an open-source manner by the oneAPI Math Kernel Library (oneMKL) Interfaces project. With this project, we hope to show that the SYCL interfaces described in the oneMKL specification may be implemented for any target hardware and math library.

The intention is to gradually expand the implementation, even though the one offered here might not be the complete implementation of the specification. We welcome community participation in this project, as well as assistance in expanding support to more math libraries and a variety of hardware targets.

With C++ and SYCL interfaces, as well as comparable capabilities with C and Fortran interfaces, oneMKL is the  Intel product implementation of the specification. For Intel CPU and  Intel GPU hardware, it is extremely optimized.

Next up, what?

Launch oneMKL now to begin speeding up your numerical calculations like never before! Leverage oneMKL’s powerful features to expedite math processing operations and improve application performance while reducing development time for both current and future Intel platforms.

Keep in mind that oneMKL is rapidly evolving even while you utilize the present features and optimizations! In an effort to keep up with the latest Intel technology, we continuously implement new optimizations and support for sophisticated math functions.

They also invite you to explore the  AI, HPC, and Rendering capabilities available in  Intel’s software portfolio that is driven by oneAPI.

Read more on govindhtech.com

[skyappz-academy]

"Top Software Training Courses"

In the rapidly evolving landscape of technology, staying updated with the latest skills and knowledge is crucial for professionals in the software industry. Quality software training courses can provide individuals with the expertise needed to excel in their careers and contribute meaningfully to their organizations. Here are some of the top software training courses that cover a wide range of technologies and skill sets.

1. "The Complete Web Developer Course 2.0" by Rob Percival

This comprehensive course covers web development from front-end to back-end, including HTML, CSS, JavaScript, Node.js, and MongoDB. With hands-on projects and practical exercises, students gain practical experience in building responsive websites and web applications.

2. "Machine Learning A-Z™: Hands-On Python & R In Data Science" by Kirill Eremenko and Hadelin de Ponteves

Ideal for aspiring data scientists and machine learning enthusiasts, this course covers a wide range of machine learning algorithms and techniques using Python and R. Students learn how to apply machine learning to real-world problems and build predictive models.

3. "iOS 13 & Swift 5 - The Complete iOS App Development Bootcamp" by Dr. Angela Yu

Designed for beginners and intermediate developers, this bootcamp covers iOS app development using Swift 5 and Xcode 11. Students learn how to build full-fledged iOS apps, including user interfaces, data storage, networking, and app deployment.

4. "The Complete JavaScript Course 2021: From Zero to Expert!" by Jonas Schmedtmann

This comprehensive course covers JavaScript programming from beginner to advanced levels. Students learn essential JavaScript concepts, such as variables, functions, arrays, and objects, as well as advanced topics like asynchronous JavaScript and modern ES6+ features.

5. "Python for Data Science and Machine Learning Bootcamp" by Jose Portilla

Ideal for individuals interested in data science and machine learning, this bootcamp covers Python programming, data analysis, machine learning, and data visualization using libraries such as NumPy, Pandas, Matplotlib, Seaborn, and Scikit-learn.

6. "React - The Complete Guide (incl Hooks, React Router, Redux)" by Maximilian Schwarzmüller

This comprehensive course covers React.js, a popular JavaScript library for building user interfaces. Students learn React fundamentals, including components, props, state, and hooks, as well as advanced topics like React Router and Redux for state management.

7. "Docker Mastery: with Kubernetes +Swarm from a Docker Captain" by Bret Fisher

Ideal for DevOps engineers and system administrators, this course covers Docker and Kubernetes, two popular containerization technologies used for deploying and managing applications. Students learn how to build, deploy, and scale containerized applications using Docker and Kubernetes.

Conclusion

These top software training courses cover a wide range of technologies and skill sets, including web development, machine learning, iOS app development, JavaScript, Python, React.js, Docker, and Kubernetes. Whether you're a beginner looking to get started in a new field or an experienced developer seeking to expand your skill set, these courses offer valuable resources and practical insights to help you succeed in the software industry. By investing time and effort in learning from these courses, you'll be well-equipped to tackle the challenges and opportunities in the ever-evolving world of technology.

Read more

[jcmarchi]

Large Language Models with Scikit-learn: A Comprehensive Guide to Scikit-LLM

New Post has been published on https://thedigitalinsider.com/large-language-models-with-scikit-learn-a-comprehensive-guide-to-scikit-llm/

Large Language Models with Scikit-learn: A Comprehensive Guide to Scikit-LLM

By integrating the sophisticated language processing capabilities of models like ChatGPT with the versatile and widely-used Scikit-learn framework, Scikit-LLM offers an unmatched arsenal for delving into the complexities of textual data.

Scikit-LLM, accessible on its official GitHub repository, represents a fusion of – the advanced AI of Large Language Models (LLMs) like OpenAI’s GPT-3.5 and the  user-friendly environment of Scikit-learn. This Python package, specially designed for text analysis, makes advanced natural language processing accessible and efficient.

Why Scikit-LLM?

For those well-versed in Scikit-learn’s landscape, Scikit-LLM feels like a natural progression. It maintains the familiar API, allowing users to utilize functions like .fit(), .fit_transform(), and .predict(). Its ability to integrate estimators into a Sklearn pipeline exemplifies its flexibility, making it a boon for those looking to enhance their machine learning projects with state-of-the-art language understanding.

In this article, we explore Scikit-LLM, from its installation to its practical application in various text analysis tasks. You’ll learn how to create both supervised and zero-shot text classifiers and delve into advanced features like text vectorization and classification.

Scikit-learn: The Cornerstone of Machine Learning

Before diving into Scikit-LLM, let’s touch upon its foundation – Scikit-learn. A household name in machine learning, Scikit-learn is celebrated for its comprehensive algorithmic suite, simplicity, and user-friendliness. Covering a spectrum of tasks from regression to clustering, Scikit-learn is the go-to tool for many data scientists.

Built on the bedrock of Python’s scientific libraries (NumPy, SciPy, and Matplotlib), Scikit-learn stands out for its integration with Python’s scientific stack and its efficiency with NumPy arrays and SciPy sparse matrices.

At its core, Scikit-learn is about uniformity and ease of use. Regardless of the algorithm you choose, the steps remain consistent – import the class, use the ‘fit’ method with your data, and apply ‘predict’ or ‘transform’ to utilize the model. This simplicity reduces the learning curve, making it an ideal starting point for those new to machine learning.

Setting Up the Environment

Before diving into the specifics, it’s crucial to set up the working environment. For this article, Google Colab will be the platform of choice, providing an accessible and powerful environment for running Python code.

Installation

%%capture !pip install scikit-llm watermark %load_ext watermark %watermark -a "your-username" -vmp scikit-llm

Obtaining and Configuring API Keys

Scikit-LLM requires an OpenAI API key for accessing the underlying language models.

from skllm.config import SKLLMConfig OPENAI_API_KEY = "sk-****" OPENAI_ORG_ID = "org-****" SKLLMConfig.set_openai_key(OPENAI_API_KEY) SKLLMConfig.set_openai_org(OPENAI_ORG_ID)

Zero-Shot GPTClassifier

The ZeroShotGPTClassifier is a remarkable feature of Scikit-LLM that leverages ChatGPT’s ability to classify text based on descriptive labels, without the need for traditional model training.

Importing Libraries and Dataset

from skllm import ZeroShotGPTClassifier from skllm.datasets import get_classification_dataset X, y = get_classification_dataset()

Preparing the Data

Splitting the data into training and testing subsets:

def training_data(data): return data[:8] + data[10:18] + data[20:28] def testing_data(data): return data[8:10] + data[18:20] + data[28:30] X_train, y_train = training_data(X), training_data(y) X_test, y_test = testing_data(X), testing_data(y)

Model Training and Prediction

Defining and training the ZeroShotGPTClassifier:

clf = ZeroShotGPTClassifier(openai_model="gpt-3.5-turbo") clf.fit(X_train, y_train) predicted_labels = clf.predict(X_test)

Evaluation

Evaluating the model’s performance:

from sklearn.metrics import accuracy_score print(f"Accuracy: accuracy_score(y_test, predicted_labels):.2f")

Text Summarization with Scikit-LLM

Text summarization is a critical feature in the realm of NLP, and Scikit-LLM harnesses GPT’s prowess in this domain through its GPTSummarizer module. This feature stands out for its adaptability, allowing it to be used both as a standalone tool for generating summaries and as a preprocessing step in broader workflows.

Applications of GPTSummarizer:

Standalone Summarization: The GPTSummarizer can independently create concise summaries from lengthy documents, which is invaluable for quick content analysis or extracting key information from large volumes of text.

Preprocessing for Other Operations: In workflows that involve multiple stages of text analysis, the GPTSummarizer can be used to condense text data. This reduces the computational load and simplifies subsequent analysis steps without losing essential information.

Implementing Text Summarization:

The implementation process for text summarization in Scikit-LLM involves:

Importing GPTSummarizer and the relevant dataset.

Creating an instance of GPTSummarizer with specified parameters like max_words to control summary length.

Applying the fit_transform method to generate summaries.

It’s important to note that the max_words parameter serves as a guideline rather than a strict limit, ensuring summaries maintain coherence and relevance, even if they slightly exceed the specified word count.

Broader Implications of Scikit-LLM

Scikit-LLM’s range of features, including text classification, summarization, vectorization, translation, and its adaptability in handling unlabeled data, makes it a comprehensive tool for diverse text analysis tasks. This flexibility and ease of use cater to both novices and experienced practitioners in the field of AI and machine learning.

Potential Applications:

Customer Feedback Analysis: Classifying customer feedback into categories like positive, negative, or neutral, which can inform customer service improvements or product development strategies.

News Article Classification: Sorting news articles into various topics for personalized news feeds or trend analysis.

Language Translation: Translating documents for multinational operations or personal use.

Document Summarization: Quickly grasping the essence of lengthy documents or creating shorter versions for publication.

Advantages of Scikit-LLM:

Accuracy: Proven effectiveness in tasks like zero-shot text classification and summarization.

Speed: Suitable for real-time processing tasks due to its efficiency.

Scalability: Capable of handling large volumes of text, making it ideal for big data applications.

Conclusion: Embracing Scikit-LLM for Advanced Text Analysis

In summary, Scikit-LLM stands as a powerful, versatile, and user-friendly tool in the realm of text analysis. Its ability to combine Large Language Models with traditional machine learning workflows, coupled with its open-source nature, makes it a valuable asset for researchers, developers, and businesses alike. Whether it’s refining customer service, analyzing news trends, facilitating multilingual communication, or distilling essential information from extensive documents, Scikit-LLM offers a robust solution.

[faysalahmed]

Essential Python Tools for Modern Data Science: A Comprehensive Overview

Python has established itself as a leading language in data science due to its simplicity and the extensive range of libraries and frameworks it offers. Here's a list of commonly used data science tools in Python:

Data Manipulation and Analysis:

pandas: A cornerstone library for data manipulation and analysis.

NumPy: Provides support for working with arrays and matrices, along with a large library of mathematical functions.

SciPy: Used for more advanced mathematical and statistical operations.

Data Visualization:

Matplotlib: A foundational plotting library.

Seaborn: Built on top of Matplotlib, it offers a higher level interface for creating visually pleasing statistical plots.

Plotly: Provides interactive graphing capabilities.

Bokeh: Designed for creating interactive visualizations for use in web browsers.

Machine Learning:

scikit-learn: A versatile library offering simple and efficient tools for data mining and data analysis.

Statsmodels: Used for estimating and testing statistical models.

TensorFlow and Keras: For deep learning and neural networks.

PyTorch: Another powerful library for deep learning.

Natural Language Processing:

NLTK (Natural Language Toolkit): Provides libraries for human language data processing.

spaCy: Industrial-strength natural language processing with pre-trained models for various languages.

Gensim: Used for topic modeling and similarity detection.

Big Data Processing:

PySpark: Python API for Apache Spark, which is a fast, in-memory data processing engine.

Web Scraping:

Beautiful Soup: Used for pulling data out of HTML and XML files.

Scrapy: An open-source and collaborative web crawling framework.

Requests: For making various types of HTTP requests.

Database Integration:

SQLAlchemy: A SQL toolkit and Object-Relational Mapping (ORM) library.

SQLite: A C-language library that offers a serverless, zero-configuration, transactional SQL database engine.

PyMongo: A Python driver for MongoDB.

Others:

Jupyter Notebook: An open-source web application that allows for the creation and sharing of documents containing live code, equations, visualizations, and narrative text.

Joblib: For saving and loading Python objects, useful when working with large datasets or models.

Scrapy: For web crawling and scraping.

The Python ecosystem for data science is vast, and the tools mentioned above are just the tip of the iceberg. Depending on the specific niche or requirement, data scientists might opt for more specialized tools. It's also worth noting that the Python data science community is active and continually innovating, leading to new tools and libraries emerging regularly.

[data-science-lovers]

Python Numpy Tutorials

[livlovlun]

파이썬 스킬업 브라이언 오버랜드 존 베넷

1장 파이썬 기초 돌아보기 1.1 파이썬 빠르게 시작하기 1.2 변수와 이름 짓기 1.3 대입 연산자 조합 1.4 파이썬 산술 연산자 요약 1.5 기초 데이터 타입: 정수와 부동소수점 1.6 기본 입력과 출력 1.7 함수 정의 1.8 파이썬 if 문 1.9 파이썬 while 문 1.10 간단한 프로그램 작성하기 1.11 파이썬 불리언 연산자 요약 1.12 함수 인수와 반환값 1.13 선행 참조 문제 1.14 파이썬 문자열 1.15 파이썬 리스트(그리고 강력한 정렬 앱) 1.16 for 문과 범위 1.17 튜플 1.18 딕셔너리 1.19 세트 1.20 전역 변수와 지역 변수 1.21 정리해 보자 1.22 복습 문제 1.23 실습 문제 2장 고급 문자열 기능 2.1 문자열은 불변이다 2.2 바이너리를 포함한 숫자 변환 2.3 문자열 연산자(+, =, *, 〉, 기타) 2.4 인덱싱과 슬라이싱 2.5 단일-문자 함수(문자 코드) 2.6 ‘join’을 사용하여 만든 문자열 2.7 주요 문자열 함수 2.8 이진수와 10진수, 16진수 변환 함수 2.9 간단한 불리언(‘is’) 메서드 2.10 대·소문자 변환 메서드 2.11 검색-교체 메서드 2.12 ‘split’을 활용한 입력 값 쪼개기 2.13 앞뒤 문자 제거하기 2.14 자리 맞춤 메서드 2.15 정리해 보자 2.16 복습 문제 2.17 실습 문제 3장 고급 리스트 기능 3.1 파이썬 리스트 생성 및 활용 3.2 리스트 복사 vs 리스트 변수 복사 3.3 인덱스 __3.3.1 양수 인덱스 __3.3.2 음수 인덱스 __3.3.3 enumerate 함수로 인덱스 숫자 생성 3.4 조각으로부터 데이터 가져오기 3.5 조각 안에 값 대입하기 3.6 리스트 연산자 3.7 얕은 복사 vs 깊은 복사 3.8 리스트 함수 3.9 리스트 메서드: 리스트 수정하기 3.10 리스트 메서드: 내용 정보 가져오기 3.11 리스트 메서드: 재편성하기 3.12 스택 역할을 하는 리스트: RPN 애플리케이션 3.13 reduce 함수 3.14 람다 함수 3.15 리스트 함축 3.16 딕셔너리와 세트의 함축 3.17 리스트를 통한 인수 전달하기 3.18 다차원 리스트 3.18.1 불균형 행렬 3.18.2 제멋대로 큰 행렬 만들기 3.19 정리해 보자 3.20 복습 문제 3.21 실습 문제 4장 지름길, 커맨드 라인, 그리고 패키지 4.1 개요 4.2 22가지 프로그래밍 지름길 __4.2.1 필요하다면 코드를 여러 줄에 걸쳐 작성한다 __4.2.2 for 루프는 현명하게 사용한다 __4.2.3 대입 연산자 조합을 이해한다(? +=) __4.2.4 다중 대입을 사용한다 __4.2.5 튜플 대입을 사용한다 __4.2.6 고급 튜플 대입을 사용한다 __4.2.7 리스트와 문자열 ‘곱하기’를 사용한다 __4.2.8 다중 값을 반환한다 __4.2.9 루프와 else 키워드를 사용한다 __4.2.10 불리언과 ‘not’의 이점을 활용한다 __4.2.11 문자열은 문자의 나열로 다룬다 __4.2.12 replace를 사용하여 문자를 제거한다 __4.2.13 필요 없는 루프는 사용하지 않는다 __4.2.14 연결된 비교 연산자를 사용한다 __4.2.15 함수 테이블(리스트, 딕셔너리)로 switch 문을 모방한다 __4.2.16 is 연산자는 정확하게 사용한다 __4.2.17 단일 행 for 루프를 사용한다 __4.2.18 여러 문장을 하나의 ��으로 줄인다 __4.2.19 단일 행 if/then/else 문을 작성한다 __4.2.20 range와 함께 enum을 생성한다 __4.2.21 IDLE 안에서 비효율적인 print 함수 사용을 줄인다 __4.2.22 큰 번호 안에 언더스코어(_)를 넣는다 4.3 커맨드 라인에서 파이썬 실행하기 __4.3.1 윈도 기반 시스템에서 실행하기 __4.3.2 macOS 시스템에서 실행하기 __4.3.3 pip 혹은 pip3로 패키지 내려받기 4.4 doc string 작성하고 사용하기 4.5 패키지 탑재하기 4.6 파이썬 패키지의 가이드 투어 4.7 일급 객체인 함수 4.8 가변 길이 인수 리스트 __4.8.1 *args 리스트 __4.8.2 **kwargs 리스트 4.9 데코레이터와 함수 프로파일러 4.10 제너레이터 __4.10.1 이터레이터란 무엇인가? __4.10.2 제너레이터 소개 4.11 커맨드 라인 인수 접근하기 4.12 정리해 보자 4.13 복습 문제 4.14 실습 문제 5장 정밀하게 텍스트 포매팅하기 5.1 백분율 기호 연산자(%)를 사용한 포매팅 5.2 백분율 기호(%) 포맷 지시자 5.3 백분율 기호(%) 변수-너비 출력 필드 5.4 전역 ‘format’ 함수 5.5 format 메서드 소개 5.6 위치로 순서 정하기(이름 혹은 색인) 5.7 ‘repr’ vs 문자열 변환 5.8 ‘format’ 함수와 메서드의 ‘사양’ 필드 __5.8.1 출력-필드 너비 __5.8.2 텍스트 조정: ‘채우기’와 ‘자리 맞춤’ 문자 __5.8.3 ‘기호’ 문자 __5.8.4 0으로 시작하는 문자(0) __5.8.5 천 단위 위치 구분자 __5.8.6 정밀도 제어 __5.8.7 문자열에서 사용한 ‘정밀도(잘라 내기)’ __5.8.8 ‘타입’ 지시자 __5.8.9 이진수 출력하기 __5.8.10 8진수와 16진수 출력하기 __5.8.11 백분율 출력하기 __5.8.12 이진수 예시 5.9 변수-길이 필드 5.10 정리해 보자 5.11 복습 문제 5.12 실습 문제 6장 정규표현식, 파트 Ⅰ 6.1 정규표현식의 소개 6.2 실제 예시: 전화번호 6.3 일치 패턴 정제하기 6.4 정규표현식 동작 방식: 컴파일 vs 실행 6.5 대·소문자 무시하기, 그리고 다른 함수 플래그 6.6 정규표현식: 기본 문법 요약 __6.6.1 메타 문자 __6.6.2 문자 집합 __6.6.3 패턴 수량자 __6.6.4 역추적, 탐욕적 수량자와 게으른 수량자 6.7 정규표현식 실습 예시 6.8 Match 객체 사용하기 6.9 패턴에 맞는 문자열 검색하기 6.10 반복하여 검색하기(findall) 6.11 findall 메서드와 그룹화 문제 6.12 반복 패턴 검색하기 6.13 텍스트 교체하기 6.14 정리해 보자 6.15 복습 문제 6.16 실습 문제 7장 정규표현식, 파트 Ⅱ 7.1 고급 정규표현식 문법의 요약 7.2 태그를 남기지 않는 그룹 __7.2.1 표준 숫자 예시 __7.2.2 태깅 문제 고치기 7.3 탐욕적 일치 vs 게으른 일치 7.4 전방탐색 기능 7.5 다중 패턴 확인하기(전방탐색) 7.6 부정적 전방탐색 7.7 명명 그룹 7.8 re.split 함수 7.9 스캐너 클래스와 RPN 프로젝트 7.10 RPN: 스캐너로 더 많은 작업 수행하기 7.11 정리해 보자 7.12 복습 문제 7.13 실습 문제 8장 텍스트와 바이너리 파일 8.1 두 가지 종류의 파일: 텍스트와 바이너리 __8.1.1 텍스트 파일 __8.1.2 바이너리 파일 8.2 바이너리 파일을 사용하는 경우: 요약 8.3 파일/디렉터리 시스템 8.4 파일을 열 때 발생하는 예외 다루기 8.5 ‘with’ 키워드 사용하기 8.6 읽기/쓰기 연산의 요약 8.7 텍스트 파일 작업 상세하게 알아보기 8.8 파일 포인터(‘seek’) 사용하기 8.9 RPN 프로젝트 안에서 텍스트 읽기 __8.9.1 현재까지의 RPN 번역기 __8.9.2 텍스트 파일의 RPN 읽기 __8.9.3 RPN에 대입 연산자 추가하기 8.10 바이너리 직접 읽기/쓰기 8.11 데이터를 고정-길이 필드로 변환(struct) __8.11.1 한 번에 하나의 숫자 읽기/쓰기 __8.11.2 한 번에 여러 숫자 읽기/쓰기 __8.11.3 고정-길이 문자열 읽기/쓰기 __8.11.4 변수-길이 문자열 읽기/쓰기 __8.11.5 문자열과 숫자를 함께 읽기/쓰기 __8.11.6 저수준 상세: 빅 엔디안 vs 리틀 엔디안 8.12 피클링 패키지 사용하기 8.13 shelve 패키지 사용하기 8.14 정리해 보자 8.15 복습 문제 8.16 실습 문제 9장 클래스와 매직 메서드 9.1 클래스와 객체 기본 문법 9.2 인스턴스 변수에 대해 더 알아보자 9.3 __init__ 메서드와 __new__ 메서드 9.4 클래스와 선행 참조 문제 9.5 메서드 기본 9.6 전역 변수/메서드와 지역 변수/메서드 9.7 상속 9.8 다중 상속 9.9 매직 메서드 개요 9.10 매직 메서드 상세 __9.10.1 파이썬 클래스의 문자열 표현 3 __9.10.2 객체 표현 메서드 __9.10.3 비교 메서드 __9.10.4 산술 연산자 메서드 __9.10.5 단항 산술 연산자 __9.10.6 리플렉션(역방향) 메서드 __9.10.7 교체 연산자 메서드 __9.10.8 변환 메서드 __9.10.9 컬렉션 클래스 메서드 __9.10.10 _ _iter_ _와 _ _next_ _ 구현하기 9.11 다중 인수 타입 지원 9.12 동적 속성 설정 및 조회 9.13 정리해 보자 9.14 복습 문제 9.15 실습 문제 10장 Decimal, Money, 그리고 기타 클래스 10.1 숫자 클래스의 개요 10.2 부동소수점 포맷의 제약 사항 10.3 Decimal 클래스 소개 10.4 Decimal 객체를 위한 특수 연산 10.5 Decimal 클래스 애플리케이션 10.6 Money 클래스 설계하기 10.7 기본 Money 클래스 작성하기(포함) 10.8 Money 객체 출력하기(“_ _str_ _”, “_ _repr_ _”) 10.9 기타 Money용 연산 10.10 데모: Money 계산기 10.11 기본 통화 설정하기 10.12 Money와 상속 10.13 Fraction 클래스 10.14 complex 클래스 10.15 정리해 보자 10.16 복습 문제 10.17 실습 문제 11장 random과 math 패키지 11.1 random 패키지의 개요 11.2 Random 함수 살펴보기 11.3 무작위 행동 테스트하기 11.4 무작위-정수 게임 11.5 카드 덱 객체 만들기 11.6 덱에 픽토그램 추가하기 11.7 정규 분포 차트 작성하기 11.8 나만의 난수 생성 프로그램 작성하기 __11.8.1 난수 생성 원칙 __11.8.2 샘플 생성기 4 11.9 math 패키지 개요 11.10 math 패키지 함수 살펴보기 11.11 특별 수치 pi 사용하기 11.12 삼각함수: 나무의 높이 11.13 로그: 숫자 맞추기 게임 돌아보기 __11.13.1 로그의 동작 원리 __11.13.2 실제 프로그램에 로그 적용하기 11.14 정리해 보자 11.15 복습 문제 11.16 실습 문제 12장 넘파이 패키지 12.1 array, numpy, matplotlib 패키지 개요 __12.1.1 array 패키지 __12.1.2 numpy 패키지 __12.1.3 numpy.random 패키지 __12.1.4 matplotlib 패키지 12.2 array 패키지 사용하기 12.3 numpy 패키지를 내려받고 탑재하기 12.4 numpy 소개: 1부터 100만까지 더하기 12.5 numpy 배열 만들기 __12.5.1 array 함수(array로 변환) __12.5.2 arange 함수 __12.5.3 linspace 함수 __12.5.4 empty 함수 __12.5.5 eye 함수 __12.5.6 ones 함수 __12.5.7 zeros 함수 __12.5.8 full 함수 __12.5.9 copy 함수 __12.5.10 fromfunction 함수 12.6 예시: 곱셈표 만들기 12.7 numpy 배열의 배치 연산 12.8 numpy 슬라이스 정렬하기 12.9 다차원 슬라이싱 12.10 불리언 배열: numpy에 마스킹하기! 12.11 numpy와 에라토스테네스의 체 12.12 numpy 통계 구하기: 표준 편차 12.13 numpy 행과 열 가져오기 12.14 정리해 보자 12.15 복습 문제 12.16 실습 문제 13장 넘파이 고급 사용법 13.1 numpy의 고급 수학 연산 13.2 matplotlib 내려받기 13.3 numpy와 matplotlib으로 그래프 선 그리기 13.4 여러 선 그래프 그리기 13.5 복리 그래프 그리기 13.6 matplotlib으로 히스토그램 만들기 13.7 원과 가로세로 비율 13.8 파이 차트 만들기 13.9 numpy로 선형대수학 구현하기 __13.9.1 점곱(dot product) __13.9.2 외적 함수 __13.9.3 기타 선형대수학 함수 13.10 3차원 플로팅 13.11 numpy 금융 애플리케이션 13.12 xticks와 yticks로 축 조정하기 13.13 numpy 혼합-데이터 레코드 13.14 파일에서 numpy 데이터 읽고 쓰기 13.15 정리해 보자 13.16 복습 문제 13.17 실습 문제 14장 여러 모듈과 RPN 예시 14.1 파이썬 모듈의 개요 14.2 간단한 2개의 모듈 예시 14.3 import 문의 변형 14.4 __all__ 기호 사용하기 14.5 전역과 지역 모듈 변수 14.6 메인 모듈과 __main__ 14.7 상호 탑재 문제 해결하기 14.8 RPN 예시: 2개의 모듈로 나누기 14.9 RPN 예시: I/O 지침 추가하기 14.10 RPN 예시 추가 변경 598 __14.10.1 줄-번호 확인 기능 추가하기 __14.10.2 0이 아니면 이동하는 기능 추가하기 __14.10.3 초과(〉)와 난수 획득(!) 14.11 RPN: 모든 코드 모으기 14.12 정리해 보자 14.13 복습 문제 14.14 실습 문제 15장 인터넷에서 금융 데이터 가져오기 15.1 이 장의 계획 15.2 pandas 패키지 소개 15.3 stock_load: 간단한 데이터 리더 15.4 간단한 주식 차트 만들기 15.5 제목과 범례 추가하기 15.6 makeplot 함수 작성하기(리팩터링) 15.7 2개의 주식 시세를 함께 그래프로 그리기 15.8 응용: 다른 데이터 그래프 그리기 15.9 기간 제한하기 15.10 차트 쪼개기: 판매량 서브플롯 15.11 변동 평균 선 추가하기 15.12 사용자에게 선택권 넘기기 15.13 정리해 보자 15.14 복습 문제 15.15 실습 문제 부록 A 파이썬 연산자 우선순위 표 부록 B 내장 파이썬 함수 부록 C 세트 메서드 부록 D 딕셔너리 메서드 부록 E 문법 참고 자료 E.1 변수와 대입 E.2 파이썬의 빈칸 이슈 E.3 알파벳 순서의 문법 참고 자료

[korshubudemycoursesblog]

Unlock Your Coding Superpower: Mastering Python, Pandas, Numpy for Absolute Beginners

If you've ever thought programming looked like a superpower — something only a chosen few could wield — it's time to change that narrative. Learning to code is no longer a mystery, and Python is your easiest gateway into this world. But what if you're a complete beginner? No background, no experience, no idea where to start?

Good news: Python, Pandas, and NumPy were practically made for you.

In this blog, we’ll walk you through why these tools are ideal for anyone just starting out. And if you want a structured, guided path, we highly recommend diving into this complete beginner-friendly course: 👉 Mastering Python, Pandas, Numpy for Absolute Beginners 👈

Let’s start unlocking your coding potential — one simple step at a time.

Why Start With Python?

Let’s keep it real. Python is one of the most beginner-friendly programming languages out there. Its syntax is clear, clean, and intuitive — almost like writing English. This makes it the perfect entry point for new coders.

Here’s what makes Python shine for absolute beginners:

Easy to Read and Write: You don’t need to memorize complex symbols or deal with cryptic syntax.

Huge Community Support: Got stuck? The internet is full of answers — from Stack Overflow to YouTube tutorials.

Used Everywhere: From web development to data analysis, Python is behind some of the world’s most powerful applications.

So whether you want to analyze data, automate tasks, or build apps, Python is your go-to language.

Where Do Pandas and NumPy Fit In?

Great question.

While Python is the language, Pandas and NumPy are the power tools that make data handling and analysis easy and efficient.

🧠 What Is NumPy?

NumPy (short for Numerical Python) is a library designed for high-performance numerical computing. In simple terms, it helps you do math with arrays — fast and efficiently.

Think of NumPy like your calculator, but 10x smarter and faster. It's perfect for:

Performing mathematical operations on large datasets

Creating multi-dimensional arrays

Working with matrices and linear algebra

🧠 What Is Pandas?

If NumPy is your calculator, Pandas is your Excel on steroids.

Pandas is a Python library that lets you manipulate, analyze, and clean data in tabular form (just like spreadsheets). It’s ideal for:

Importing CSV or Excel files

Cleaning messy data

Analyzing large datasets quickly

In short: Pandas + NumPy + Python = Data Analysis Superpowers.

Real Talk: Why You Should Learn This Trio Now

The demand for Python programmers, especially those who can work with data, has skyrocketed. From tech companies to banks, from hospitals to online retailers — data is the currency, and Python is the language of that currency.

Still unsure? Let’s break down the benefits:

1. No Prior Experience Needed

This trio doesn’t assume you’ve written a single line of code. It's designed for learners who are starting from ground zero.

2. Fast Career Opportunities

Roles like Data Analyst, Python Developer, or even Automation Tester are open to beginners with these skills.

3. Used by Top Companies

Google, Netflix, NASA — they all use Python with Pandas and NumPy in various ways.

4. Perfect for Freelancers and Entrepreneurs

Want to automate your invoices, sort data, or build small tools for clients? This skillset is gold.

What You’ll Learn in the Course (and Why It Works)

The course Mastering Python, Pandas, Numpy for Absolute Beginners is not just a crash course — it’s a well-paced, thoughtfully designed bootcamp that makes learning fun, easy, and practical.

Here's what makes it a winner:

✅ Step-by-Step Python Foundation

Install Python and set up your workspace

Learn variables, loops, functions, and conditionals

Build confidence with coding exercises

✅ Hands-On NumPy Training

Create arrays and matrices

Use NumPy’s built-in functions for quick calculations

Apply real-life examples to understand concepts better

✅ Practical Pandas Projects

Import and clean data from files

Slice, filter, and aggregate data

Create powerful visualizations and summaries

✅ Real-World Applications

From data cleaning to basic automation, this course helps you build practical projects that show up on portfolios and get noticed by recruiters.

✅ Learn at Your Own Pace

No pressure. You can go slow or fast, revisit lessons, and even practice with downloadable resources.

From Absolute Beginner to Confident Coder — Your Journey Starts Here

Let’s paint a picture.

You’re sitting at your laptop, coffee in hand. You type a few lines of code. You see the output — data neatly cleaned, or graphs beautifully rendered. It clicks. You feel empowered. You’re not just learning code anymore — you’re using it.

That’s the journey this course promises. It doesn’t throw complex concepts at you. It holds your hand and builds your confidence until you feel like you can take on real-world problems.

And the best part? You’ll be surprised how quickly things start making sense.

👉 Ready to experience that feeling? Enroll in Mastering Python, Pandas, Numpy for Absolute Beginners

Common Myths (And Why They’re Wrong)

Before we wrap up, let’s bust a few myths that might be holding you back.

❌ “I need a math or computer science background.”

Nope. This course is designed for non-tech people. It’s friendly, guided, and explained in simple language.

❌ “It’ll take years to learn.”

Wrong again. You’ll be surprised how much you can learn in just a few weeks if you stay consistent.

❌ “It’s only useful for data scientists.”

Python, Pandas, and NumPy are used in marketing, HR, finance, healthcare, e-commerce — the list goes on.

What Past Learners Are Saying

“I was terrified to even open Python. Now I’m analyzing datasets like a pro. This course literally changed my life!” – Priya K., Student

“I tried learning on YouTube but kept getting confused. This course explained things step-by-step. I finally get it.” – James M., Freelancer

“As a small business owner, I used Python to automate my reports. Saved me hours every week.” – Aamir T., Entrepreneur

Your First Step Starts Today

You don’t need to be a genius to learn Python. You just need a guide, a plan, and a little bit of curiosity.

Python, Pandas, and NumPy are your starting tools — powerful enough to transform how you work, think, and problem-solve. And once you begin, you'll wonder why you didn’t start sooner.

So why wait?

🚀 Click here to start your learning journey today: 👉 Mastering Python, Pandas, Numpy for Absolute Beginners

[eyssant]

Ndarray is the n-dimensional array object defined in the numpy. It stores the collection of elements of the same type. Elements in the collection can be accessed using a zero-based index. Each element in an ndarray takes the same size in memory.

[karanshah1910]

Master NumPy Library for Data Analysis in Python in 10 Minutes

Learn and Become a Master of one of the most used Python tools for Data Analysis.

Introduction:-

NumPy is a python library used for working with arrays.It also has functions for working in domain of linear algebra, fourier transform, and matrices.It is an open source project and you can use it freely. NumPy stands for Numerical Python.

NumPy — Ndarray Object

The most important object defined in NumPy is an N-dimensional array type called ndarray. It describes the collection of items of the same type. Items in the collection can be accessed using a zero-based index.Every item in an ndarray takes the same size of block in the memory.

Each element in ndarray is an object of data-type object (called dtype).Any item extracted from ndarray object (by slicing) is represented by a Python object of one of array scalar types.

The following diagram shows a relationship between ndarray, data type object (dtype) and array scalar type −

It creates an ndarray from any object exposing array interface, or from any method that returns an array.

numpy.array(object, dtype = None, copy = True, order = None, subok = False, ndmin = 0)

The above constructor takes the following parameters −

Object :- Any object exposing the array interface method returns an array, or any (nested) sequence.

Dtype : — Desired data type of array, optional.

Copy :- Optional. By default (true), the object is copied.

Order :- C (row major) or F (column major) or A (any) (default).

Subok :- By default, returned array forced to be a base class array. If true, sub-classes passed through.

ndmin :- Specifies minimum dimensions of resultant array.

Operations on Numpy Array

In this blog, we’ll walk through using NumPy to analyze data on wine quality. The data contains information on various attributes of wines, such as pH and fixed acidity, along with a quality score between 0 and 10 for each wine. The quality score is the average of at least 3 human taste testers. As we learn how to work with NumPy, we’ll try to figure out more about the perceived quality of wine.

The data was downloaded from the winequality-red.csv, and is available here. file, which we’ll be using throughout this tutorial:

Lists Of Lists for CSV Data

Before using NumPy, we’ll first try to work with the data using Python and the csv package. We can read in the file using the csv.reader object, which will allow us to read in and split up all the content from the ssv file.

In the below code, we:

Import the csv library.

Open the winequality-red.csv file.

With the file open, create a new csv.reader object.

Pass in the keyword argument delimiter=";" to make sure that the records are split up on the semicolon character instead of the default comma character.

Call the list type to get all the rows from the file.

Assign the result to wines.

We can check the number of rows and columns in our data using the shape property of NumPy arrays:

Indexing NumPy Arrays

Let’s select the element at row 3 and column 4. In the below code, we pass in the index 2 as the row index, and the index 3 as the column index. This retrieves the value from the fourth column of the third row:

1-Dimensional NumPy Arrays

So far, we’ve worked with 2-dimensional arrays, such as wines. However, NumPy is a package for working with multidimensional arrays. One of the most common types of multidimensional arrays is the 1-dimensional array, or vector.

1.Just like a list of lists is analogous to a 2-dimensional array, a single list is analogous to a 1-dimensional array. If we slice wines and only retrieve the third row, we get a 1-dimensional array:

2. We can retrieve individual elements from third_wine using a single index. The below code will display the second item in third_wine:

3. Most NumPy functions that we’ve worked with, such as numpy.random.rand, can be used with multidimensional arrays. Here’s how we’d use numpy.random.rand to generate a random vector:

After successfully reading our dataset and learning about List, Indexing, & 1D array in NumPy we can start performing the operation on it.

The first element of each row is the fixed acidity, the second is the volatile ,acidity, and so on. We can find the average quality of the wines. The below code will:

Extract the last element from each row after the header row.

Convert each extracted element to a float.

Assign all the extracted elements to the list qualities.

Divide the sum of all the elements in qualities by the total number of elements in qualities to the get the mean.

NumPy Array Methods

In addition to the common mathematical operations, NumPy also has several methods that you can use for more complex calculations on arrays. An example of this is the numpy.ndarray.sum method. This finds the sum of all the elements in an array by default:

2. Sum of alcohol content in all sample red wines

NumPy Array Comparisons

We get a Boolean array that tells us which of the wines have a quality rating greater than 5. We can do something similar with the other operators. For instance, we can see if any wines have a quality rating equal to 10:

3. select wines having pH content > 5

Subsetting

We select only the rows where high_Quality contains a True value, and all of the columns. This subsetting makes it simple to filter arrays for certain criteria. For example, we can look for wines with a lot of alcohol and high quality. In order to specify multiple conditions, we have to place each condition in parentheses, and separate conditions with an ampersand (&):

4. Select only wines where sulphates >10 and alcohol >7

5. select wine having pH greater than mean pH

We have seen what NumPy is, and some of its most basic uses. In the following posts we will see more complex functionalities and dig deeper into the workings of this fantastic library!

To check it out follow me on tumblr, and stay tuned!

That is all, I hope you liked the post. Feel Free to follow me on tumblr

Also, you can take a look at my other posts on Data Science and Machine Learning here. Have a good read!

[renatoferreiradasilva]

Aula: Construção Computacional e Otimização de Operadores Diferenciais para a Hipótese de Riemann

Objetivo da Aula

Nesta aula, exploraremos a formulação computacional de operadores diferenciais cujo espectro pode estar relacionado aos zeros não triviais da função zeta de Riemann. A abordagem segue a conjectura de Hilbert-Pólya, utilizando otimização numérica para ajustar o potencial e validar os espaçamentos espectrais conforme a estatística GUE.

Conteúdo Programático

Introdução

A Hipótese de Riemann e sua relação com a teoria espectral.

Modelos matemáticos propostos.

O uso de operadores diferenciais auto-adjuntos.

Construção Computacional do Operador Diferencial

Discretização via diferenças finitas.

Construção da matriz para a segunda derivada.

Implementação computacional do Hamiltoniano .

Escolha e Ajuste do Potencial 

Modelos heurísticos iniciais.

Introdução de termos adicionais para melhorar o alinhamento com os zeros da função zeta.

Representação computacional e ajustes iterativos.

Otimização Numérica

Uso de algoritmos como Nelder-Mead e L-BFGS-B.

Redução da dimensão do problema considerando subconjuntos de autovalores.

Avaliação da convergência e limitações computacionais.

Validação Estatística

Cálculo do erro absoluto médio (MAE) entre os autovalores e os zeros da zeta.

Testes estatísticos de espaçamento espectral (KS test para estatística GUE).

Análise de convergência e sugestões para melhorias.

Resultados Obtidos e Limitações

Comparativos com o modelo PINN de Fourier-Wavelet.

Análise dos avanços e retrocessos.

Sugestões para refinamentos futuros.

Próximos Passos

Exploração de operadores pseudo-diferenciais.

Aplicabilidade de aprendizado de máquina para ajuste dinâmico do potencial.

Implementação de novos testes para melhorar a robustez do modelo.

Recursos Computacionais

Bibliotecas Utilizadas:

numpy para manipulação de arrays e cálculo matricial.

scipy.linalg para cálculo dos autovalores.

scipy.optimize para ajuste do potencial.

scipy.stats para testes estatísticos.

Código de Implementação: Cada sessão da aula inclui exemplos de código para que os participantes possam replicar e expandir os experimentos.

Histórico do Desenvolvimento

Artigos Relacionados:

A Hybrid Fourier-Wavelet Spectral Approach to the Riemann Hypothesis: Computational Validation and Implications in Quantum Chaos

Modelo que combina colocalização de Fourier, regularização por wavelets e redes neurais PINNs para refinar operadores diferenciais.

Conseguiu um erro MAE de 0.0008 na correspondência entre autovalores e zeros da função zeta.

Estatística GUE confirmada com .

Avanços e Retrocessos na Abordagem Computacional da Hipótese de Riemann

Comparação entre o modelo PINN e uma abordagem baseada em operadores diferenciais otimizados.

Modelo alternativo usou operadores diferenciais de segunda ordem com otimização híbrida (Nelder-Mead e L-BFGS-B).

O erro MAE foi reduzido para 19.41, mas a estatística GUE ainda não foi completamente ajustada.

Experimentos Computacionais Realizados

Primeira Implementação:

Construção inicial do operador diferencial de segunda ordem.

Comparação dos autovalores com os zeros de Odlyzko.

Erro MAE inicial de 68.03.

Otimização do Potencial :

Introdução de termos oscilatórios no potencial.

Redução do erro MAE para 24.99.

Teste KS mostrou que os espaçamentos não seguiam bem a estatística GUE.

Melhorias com Algoritmo Híbrido:

Uso de um método híbrido de otimização combinando Nelder-Mead e L-BFGS-B.

Ajuste fino do potencial para aproximar os autovalores dos zeros da zeta.

Novo erro MAE de 16.74, mas estatística GUE ainda não foi validada.

Refinamento Final:

Redução do número de autovalores usados na otimização para tornar a função de perda mais eficiente.

Implementação de operadores pseudo-diferenciais e aprendizado de máquina para otimizar .

Últimos resultados: erro MAE de 16.74, teste KS mostrando necessidade de ajustes para GUE.

Conclusão

Esta aula fornece um guia detalhado para pesquisadores interessados em explorar a Hipótese de Riemann por meio de métodos computacionais. Através da implementação do operador diferencial e de estratégias de otimização, avançamos na compreensão do problema e abrimos novas direções para pesquisa futura.

Bibliografia

Berry, M. V. (1986). Riemann’s zeta function and quantum chaos. Proc. R. Soc. A.

Connes, A. (1999). Trace formula in noncommutative geometry. Selecta Math.

Odlyzko, A. (2001). Zeta zeros: Computational and statistical advances. AMS.

Trefethen, L. N. (2000). Spectral Methods in MATLAB. SIAM.

Daubechies, I. (1992). Ten Lectures on Wavelets. SIAM.

Odlyzko, A. (2023). Tables of zeta zeros. [Online].

Bender, C. M. (2017). Hamiltonian for the zeros of the Riemann zeta function. J. Phys. A.

Bohigas, O. (1984). Chaos and quantum mechanics. Phys. Rev. Lett.

Sarnak, P. (1999). Arithmetic quantum chaos. Israel Math. Conf. Proc.

Ops: esqueci que eu sou professor de História de escola pública... as vezes essas coisas acontecem

Ps: Tudo é culpa da I.A eu somente teclei uns comandos e ela fez resto.

Ps2: Sou muito burro para entender isso tudo que foi feito.

Ps3: Teu professor de Matemática e de Física tem mais autoridade do que eu para falar sobre os avanços dessa pesquisa; sou somente um professor de História de escola pública.