#modulus and argument
Explore tagged Tumblr posts
Text
Square Root of Complex Numbers | Class 11 JEE Maths | Complex Number Series 🔥
Is video mein humne complex numbers ka square root nikalna seekha hai — wo bhi JEE Mains ke point of view se. Kaise aap kisi bhi complex number ka √ निकाल सकते ho using algebraic as well as geometric methods, woh step-by-step samjhaya gaya hai. Yeh Class 11 ke Complex Number Chapter ka ek important concept hai jo directly JEE mein poocha gaya hai. Topics Covered:👉 What is the square root of a…

View On WordPress
#9nid#class 11 complex numbers#Class11Maths#complex number class 11#complex number jee#complex numbers#iit jee maths#IITKiTayyari#JEE 2025#jee 2026#JEE Main Maths#jee main question#jee2025#JEE2026#JEEComplexNumber#JEEPreparation#JEETricks#MathsForJEE#MathsTricks#MathsWithConcepts#modulus and argument#ModulusArgument#Polar Form#PolarForm#square root formula#square root of complex number#SquareRootOfComplexNumber
0 notes
Text
Square Root of Complex Numbers | Class 11 JEE Maths | Complex Number Series 🔥
Is video mein humne complex numbers ka square root nikalna seekha hai — wo bhi JEE Mains ke point of view se. Kaise aap kisi bhi complex number ka √ निकाल सकते ho using algebraic as well as geometric methods, woh step-by-step samjhaya gaya hai. Yeh Class 11 ke Complex Number Chapter ka ek important concept hai jo directly JEE mein poocha gaya hai. Topics Covered:👉 What is the square root of a…

View On WordPress
#9nid#class 11 complex numbers#Class11Maths#complex number class 11#complex number jee#complex numbers#iit jee maths#IITKiTayyari#JEE 2025#jee 2026#JEE Main Maths#jee main question#jee2025#JEE2026#JEEComplexNumber#JEEPreparation#JEETricks#MathsForJEE#MathsTricks#MathsWithConcepts#modulus and argument#ModulusArgument#Polar Form#PolarForm#square root formula#square root of complex number#SquareRootOfComplexNumber
0 notes
Text
Read Your Mind | Lee Hyunjae
SUMMARY: both you and Hyunjae had a mutual agreement to begin this whole friends-with-benefits relationship from the start, but now his contradicting actions and behaviour make you question what you both truly are at this point.
PAIRING: fwb Hyunjae x f!reader
GENRE: angst, suggestive
WARNINGS: kissing, making-out, arguments, unrequited love (like the first ⅔ of the fic, but there's a happy ending folks 🥹), mentions of s*x
WORD COUNT: 3,661
A/N: i've been jamming to sabrina carpenter's read your mind lately, hence this fic was born! special shout-out to my fellow sabrina enthusiast @heemingyu for hyping me up throughout the process & reading it through for me as well 😭🫶🏻
update!! this is now part of emails i can't send fwd: series

You slammed your laptop down shut as soon as you saw that the clock on the wall struck at half-two. Not wasting any time, you quickly packed all your belongings into your backpack and left the lecture hall immediately.
Oh, how you’ve always dreaded long lectures like today, which lasted for approximately three hours since your lecturer insisted on finishing up the modulus before letting you off for the long weekend ahead.
As you made your way out of the hall, you were immediately joined by your group of friends, who were quickly catching up with you, telling you how there’s this new Korean BBQ restaurant in town and how you guys must try it since there’s a limited promotion going on there. It was a Friday night—of course, you had to agree.
That was until your phone from your back pocket buzzed.
You took out your mobile and quickly scanned through the notification that just popped up on your screen.
🎁: Hey, meet me at my place tonight at 8pm? The usual.
A long exasperated sigh left your lips as soon as you saw that message since you knew what it exactly meant.
And how you have been doing it constantly for the past 6 months without anyone besides you two knowing about this whole deal.
Your friends clearly noticed how quickly your facial expressions shifted and began asking if something was the matter. As usual, you brushed them off and told them how your family issues had come up again and that you wouldn’t be able to join them for the night.
Using your usual pouting facial expression to convince your friends that you’ll definitely make it for the next one, you hope that it will indirectly tell them how you feel sorry about it and stop making them pressure you with more questions.
Waving them goodbye, you turn your heel in the opposite direction, making your way to the destination that your so-called friend has been expecting you to be.
Closing your eyes, you took in a deep breath before you eventually mustered up the courage to head to where you had to be.
Here we go again.

You were now on his lap, straddling his waist while his grip tightened around you. Both of you were having a steamy makeout session, lips exploring each other’s like there was no tomorrow, while both of your hands began touching one another, which increased the arousal that you both were feeling at that moment.
Finally, after a while, he gives you a little moment to have a breather while he travels down to your neck and begins leaving a trail of kisses all the way down to your collarbone. Once he got there, he began sucking it a little too hard, one that you knew would definitely leave a hickey behind, and you’ll definitely need to use your handy-dandy concealer to cover them up the next day.
His hands begin travelling up to your chest, where he begins squeezing one of your breasts, which is where he gets an elicit moan in return, turning him on for the next move he is about to pull.
“Can I… take your clothes off, Y/N?”
“Go ahead, Jae.”
The next thing that happened was that both of your clothes were scattered throughout the floor, and you were now lying in bed with Hyunjae hovering over you. Both of your lips are now reconnected, tongues intertwining with one another, leaving no room for a breather.
Just as you thought things would get a little spicier, the male suddenly stopped in his tracks.
“No.”
“Hyunjae? Is everything alright?”
“No. I’m sorry, Y/N. I can’t do this anymore.”
Hyunjae then gets up and sits on the bed, and you follow by sitting up next to him. Gently placing a hand on his shoulder, you looked at him with the look of concern and sincerity in your eyes.
“Care to share about what’s going through your mind?”
Hyunjae sighed deeply before furrowing his eyebrows as he stared off into the ceiling. “I’m not sure, Y/N. I know we both agreed on this from the start. But lately, I just don’t feel like this was the same as before.”
It was true. You both began this whole friends-with-benefits situation because Hyunjae had recently broken off with his ex, and he was feeling slightly lonely. Both of you were only coursemates and nothing else. Eventually, you both got close with one another when you were assigned to be lab partners in one of the subjects within the course.
You noticed how Hyunjae wasn’t as goofy and bright as he was previously, and you decided to check up on him and asked if anything was the matter and if you could at least extend a helping hand to him. Initially, he was reluctant to tell you the truth. After a period of time, he made the deal and spat out what had been bothering him for so long.
Making it clear that he was heartbroken and needed a company, you somehow convinced him that you could do that if he desperately needed them. Though both of you had made it clear to one another that he would not envision you as his ex whenever you did the deed, he merely needed company to satisfy his sexual desires. Adding to the fact that neither of you would fall for each other. You were more than happy to do that so long as you both did not break each other’s boundaries.
Things started out fine in the beginning, and he started to feel better and presentable at lectures, which made it seem like everything was working out fine. In return, you got to expand your knowledge on romance since you have never had a partner in the past 22 years of your life. In other words, it was kind of a win-win situation for both parties.
However, you have begun to notice how things have changed from all of your recent makeouts with the male himself. There was this awkward tension in the air, contradicting what you both had agreed on beforehand. There are multiple times—like tonight when Hyunjae suddenly breaks off the kiss and tells you both how you guys are done for the day.
Something was bothering him, and neither of you knew what it was all about because the male himself did not understand his emotions.
Every time this happened, he felt guilty about it and constantly apologised for everything that had happened.
But tonight, something was different.
“I’m sorry, Y/N. But I think I really need some time alone to myself.”
“Yeah, it’s fine. I’ll just go to bed-”
“I’ll walk you home, at least.”
Oh.
This was the first time Hyunjae asked you to give him space. Usually—even during the recent not-so-good makeout sessions, he would always insist that you stay for the night, reassuring you that his flat is way safer than going back home with the dimly lit streets at night.
But this? It was something you had least expected to happen, though you didn’t question the male as you could tell it wasn’t the right timing to do so.
Instead, you just nodded and quickly packed away your stuff before the both of you were ready to head out towards the front door.
The entire walk back to your flat didn’t take that long—it was about a five minute walk, to be exact. But what made this whole short-distance road feel like an eternity was how neither of you spoke a word throughout the whole journey. You could tell Hyunjae wasn’t in his right mind, his face was pale. Hence, you decided to just wrap your arms around yourself and walked close by next to him, respecting the peace and silence for now.
As you reached your flat, Hyunjae didn’t say much and rather just muttered a simple “goodnight” before he smiled weakly and turned his heel back towards the direction of his residence.
Whatever happened tonight, you knew that something had changed between the both of your relationships.

This went on for an entire week. Ever since that fateful day, you’ve noticed how Hyunjae slowly returned to his previous self, where he always seemed so lonely and gloomy. He was quiet for a few days, but the usual message came in, and you find yourself back at his flat two days later.
However, it ended up the same way as it did, pausing suddenly when you both got down to the climax and decided to call it quits before walking back home once again.
The cycle then continued. He would tell you that he needed to be alone and work on his thoughts for some time before eventually typing down the usual that would keep you busy and occupied with him throughout the night. You would return to him every time, knowing how you’d be left feeling confused and unsatisfied with the entire ordeal.
Yet, your heart yearns for the man, and you’re always hoping that you’ll at least be able to ease his pain and loneliness, even in the slightest bit.
But tonight is when you decided that enough was enough and would confront him about it. What exactly was bothering him? Or rather, if he was actually getting bored of your company.
You needed to know.

“Hyunjae, I’m here to talk.”
When you replied to the male with your usual messages, being the gentleman he was, Hyunjae welcomed you immediately at the front door when you arrived. The usual deal would be that the two of you would get straight down to business without having much say, to begin with. Tonight was when you decided that this would not work out, and you both have to come to terms with one another before things go straight downhill.
He looked at you with a surprised look, where you could tell that he was definitely taken aback since you were usually the quiet one and would let the male take control of everything. A deep sigh left his mouth, and he invited you into his living room, where you both sat on the couch, distancing ever so slightly from one another.
You hesitated for a moment before you decided that it was the right time to put together the right words to ask the male what exactly had been going through his mind for the past weeks.
“What exactly am I to you at this point?”
It seemed as if the male knew that the day would come when he would eventually have to face the question he had been avoiding for so long. In the beginning, he has always seen you as a good friend who would understand his point of view of where he was coming from and how he deeply appreciated the help you were willing to give him.
But lately, he has been having second thoughts and has begun questioning himself about what he truly felt about you.
Are the both of you still in this whole friends-with-benefits situation? Or even, are you both still good friends at this point?
It took a minute or two for the male to speak up finally, and what he replied was something that had never once crossed your mind.
“I fear that I might be crossing the line, Y/N.”
“And why is that?”
“Honestly, I don’t even know myself.”
This uncertainty back and forth has really started to get on your nerves, and the fact that you came here tonight to clear the air proved nothing at all. Hyunjae wasn’t sure of his emotions, yet you were desperate to know his point of view.
Frustrated, you stood up from the couch and raised your voice slightly, facing the male to express your frustrations throughout the past week.
“Hyunjae, you keep telling me that you always needed some time alone, and yet you always want me back by the end of the day. If we’re not going to do this like how we have intentionally started with, then we’re both just wasting all of our time, really.”
“Y/N, I thought that we could just be casual about all of this-”
“Casual?” You scoffed. “You never were my best friend to begin with. We are just lab partners, and I was merely concerned about your well-being, so I decided to help out a little.”
“And because I love you.” You choked.
Hyunjae’s eyes widened upon that statement, and he was about to refute it until you managed to fire back again.
“Have you perhaps fallen in love with me?”
Hyunjae? In love with you? That can’t be. Both of you agreed upon the rules at the start that all of this was merely helping one another out, and there was no room for falling in love with the other party at all.
You knew that you had already broken the rule from the start, but it didn’t matter to you as long as you were aware that Hyunjae was getting all of the necessary help and support he needed. But with what Hyunjae has been going through lately, he knew that it was why he had begun to see you differently and how he could not touch and feel you like before.
The question was if he was ready to move on from his ex. With your help, he should have gotten over it and begun to take things a lot easier, right?
If only your theory were right.
“I’m sorry, Y/N.”
That was enough to tell you that all of the efforts that you have put in over the past few months have gone down the drain that easily.
You were getting teary-eyed, and you began stomping towards the front door, wanting to escape this suffocating environment that you were in.
With one final sigh, you fired back at the male once more. “Why the fuss, Hyunjae? If you just say you wanna be mine?”
Just as quickly as you opened the door, you were instantly gone. Tears begin pooling down your face as you take that long, dark, dimly light road back to the comforts of your flat.
Is it that hard to just admit you have feelings for me, Hyunjae?
Back at Hyunjae’s flat—he was standing there still, fingers running through his hair in a frustrated manner as he took his phone and dialled the only number he knew who could knock in some sense of mind at this hour.
“Sangyeon-hyung, I messed up real bad.”

You have never felt so dead over the next few weeks ever since that incident at Hyunjae’s flat. Neither of you has spoken a word to one another or even come close to having eye contact at all.
It was tough when you were both assigned lab partners for your chemistry subject and had to talk to your advisor to have your partner physically changed for the rest of the year. It was tough coming up with plausible reasons as to why you wanted him to be switched out with someone else—but ultimately, your request was approved. You were now paired with one of the girls from the class with whom you were not too familiar with, but that was fine by you so long as it wasn’t him.
Obviously, your efforts did not go unnoticed, and the male eventually tried his best to reach out to you again. But every time you managed to get a slight glimpse of him walking your way, you have always done your best to keep yourself occupied or even walk away to avoid starting up a conversation with him.
You even tried blocking him off of all of your social media and on your contacts list—he was already swarming you with calls or messages, trying to just talk to you or even apologise for what happened. But honestly, you were just not ready to hear whatever he would say to you, especially when you fell for the man before you started this whole friends-with-benefits relationship.
I have been such a fool to think he would eventually love me back.

It was a quiet afternoon when you decided to spend the rest of the day finishing your assignments before the final exams were due in about a week. The library has always been your comfort place to be on campus. Not only can you take a little breather from all the chaos on campus, but you also could take a little nap in between, especially during times like this when you’ve always pulled an all-nighter and your sleep schedule was all messed up.
Standing up from your seat, you decided to walk down towards one of the halls to get some textbooks that would be helpful as your source of references for the current report you were typing on your computer.
The peace wouldn’t last long, though, as you felt a presence behind you that you had avoided for the past month. The cologne was what gave his identity away, you would’ve recognised it immediately without a doubt because you used to spend the nights with him all the time.
You tried your best to ignore the male, constantly trying to fidget through the shelves until you finally grabbed enough materials to return to your table.
That was until he decided to grab hold of your arm, and now you were left with no escape and choice but to come face-to-face with the person you have been avoiding at all cost.
“You don’t have to say anything, Y/N. But please, at least, hear me out for a few minutes.”
Taking in a deep sigh, you laid your head down and looked at your books before muttering to the male.
“Five minutes.”
He then lets go of your arms and straightens his back as he clears his throat to finally muster up the courage to tell you what has been trying his best to tell you over the missed calls and messages.
“First of all, I’m an idiot. I messed up so bad, Y/N. I know I shouldn’t have done nor said what I did back then-”
“Cut to the chase, Hyunjae. I have no time to waste.”
“Listen. I haven’t been able to look at you the same nor touch you the way I did before because… I am starting to care a lot about you, Y/N. I’m not talking this from a friends-with-benefits stance, but rather as a friend.”
You scoffed. “So this is what it’s all about? Coming here to apologise and tell me you have changed? I have to laugh if that’s what it is, Hyunjae. Look, if you are sneaking up on me just to tell me that you need me back to do whatever shit that we used to do, then I’m sorry, but I’m done with that phase.”
He now grips both of your shoulders, trying to knock some sense into you. “No, Y/N. I’m not seeking a sexual relationship with you anymore. I’ve been a jerk not to notice how, during this whole time, I have begun to care a lot about you because you mean more to me as a friend.”
“And because I have fallen in love with you, Y/N.”
No.
No way, it can’t be. Hyunjae has made it clear how he only needed company back then, and he was nowhere near or wanting to begin a new relationship after how messed up his and his ex’s one was. You’ve got to be hearing things, maybe your lack of sleep lately was the key to this.
“You don’t, Hyunjae. You don’t love me. I was just merely a company for you.”
“That was before, Y/N. But not anymore.”
He now takes a step closer to you as he pins you against the bookshelf.
“And I’m going to make myself clear, miss Y/N. I can now confidently say that I am ready to start anew and begin this new chapter with you. The old Lee Hyunjae that you have known is now gone, and I am willing to spend the rest of my life with you as your boyfriend.”
Tears began forming in your eyes, and you had to try so hard to fight back the tears and respond to the male.
“I can’t read your mind, Hyunjae. One day, you told me you needed space and to be alone, and the next thing that happened, you came back to me saying you wanted me back. I do not enjoy this joke in the slightest bit, Hyunjae.”
He notices how your tears are on the verge of streaming down the beautiful face he has longed to yearn for over the past month, and he now closes the gap between you two, lips now brushing against one another.
“Then let me prove it to you.”
He shuts you up by placing his soft, gentle lips against yours, and with that, the tears that you have held back for so long begin pouring down like there’s no tomorrow.
He rests one of his hands around your waist while the other seemingly rests on your right cheek, slowly catching each drop of tears as he wipes them away.
Oh, how badly you have missed this—the familiar sensation, his cologne, presence, and the soft, luscious lips against yours.
Both of you were kissing one another as if it was just like the first time you both had done it—tongues were now intertwined, and neither of you were planning to let go anytime soon.
“Hyunjae—God—Don’t—Stop.” You said in between the kisses as you tried your best to catch your breath.
“Never planned to do so, Y/N.”
As he breaks off the kiss and travels down to your neck to nibble and leave a trail of kisses behind, he whispers into your ear before continuing the deed.
“You may have fallen for me first, but I have fallen for you harder.”

masterlist
taglist: @deoboyznet @kflixnet @k-films @flwoie @hokupi @zzoguri @kyusqult @tinkerbell460 @cheonsafics @sulkygyu (join my permanent taglist here!)
#deoboyznet#kvanity#k-labels#kflixnet#k-films#the boyz#tbz#the boyz x reader#the boyz x imagines#the boyz scenarios#the boyz fanfic#tbz scenarios#hyunjae#lee hyunjae#hyunjae x reader#lee hyunjae x reader#hyunjae imagines#hyunjae scenarios#hyunjae angst#hyunjae suggestive#the boyz angst#the boyz suggestive
264 notes
·
View notes
Text
I desprately need someone to talk to about this
I've been working on a system to allow a genetic algorithm to create DNA code which can create self-organising organisms. Someone I know has created a very effective genetic algorithm which blows NEAT out of the water in my opinion. So, this algorithm is very good at using food values to determine which organisms to breed, how to breed them, and the multitude of different biologically inspired mutation mechanisms which allow for things like meta genes and meta-meta genes, and a whole other slew of things. I am building a translation system, basically a compiler on top of it, and designing an instruction set and genetic repair mechanisms to allow it to convert ANY hexadecimal string into a valid, operable program. I'm doing this by having an organism with, so far, 5 planned chromosomes. The first and second chromosome are the INITIAL STATE of a neural network. The number and configuration of input nodes, the number and configuration of output nodes, whatever code it needs for a fitness function, and the configuration and weights of the layers. This neural network is not used at all in the fitness evaluation of the organism, but purely something the organism itself can manage, train, and utilize how it sees fit.
The third is the complete code of the program which runs the organism. Its basically a list of ASM opcodes and arguments written in hexadecimal. It is comprised of codons which represent the different hexadecimal characters, as well as a start and stop codon. This program will be compiled into executable machine code using LLVM IR and a custom instruction set I've designed for the organisms to give them a turing complete programming language and some helper functions to make certain processes simpler to evolve. This includes messages between the organisms, reproduction methods, and all the methods necessary for the organisms to develop sight, hearing, and recieve various other inputs, and also to output audio, video, and various outputs like mouse, keyboard, or a gamepad output. The fourth is a blank slate, which the organism can evolve whatever data it wants. The first half will be the complete contents of the organisms ROM after the important information, and the second half will be the initial state of the organisms memory. This will likely be stored as base 64 of its hash and unfolded into binary on compilation.
The 5th chromosome is one I just came up with and I am very excited about, it will be a translation dictionary. It will be 512 individual codons exactly, with each codon pair being mapped between 00 and FF hex. When evaulating the hex of the other chromosomes, this dictionary will be used to determine the equivalent instruction of any given hex pair. When evolving, each hex pair in the 5th organism will be guaranteed to be a valid opcode in the instruction set by using modulus to constrain each pair to the 55 instructions currently available. This will allow an organism to evolve its own instruction distribution, and try to prevent random instructions which might be harmful or inneficient from springing up as often, and instead more often select for efficient or safer instructions.
#ai#technology#genetic algorithm#machine learning#programming#python#ideas#discussion#open source#FOSS#linux#linuxposting#musings#word vomit#random thoughts#rant
7 notes
·
View notes
Text
Master the NDA Exam: Syllabus, Sections & Smart Strategy"
The National Defence Academy (NDA) exam is one of the maximum prestigious and competitive checks performed with the aid of the Union Public Service Commission (UPSC) in India. The NDA exam is held twice a year and is open to male and woman candidates who've finished or are performing of their 12th widespread.
NDA Exam Syllabus

The exam is split into major papers:
Mathematics
General Ability Test (GAT)
Let’s damage down every section in element.
1. Mathematics (Paper I)
Duration: 2.5 hours
Maximum Marks: 300
The Mathematics section of the NDA syllabus is designed to check a candidate’s analytical and problem-solving competencies. The questions are of 10+2 level and cowl a huge variety of topics:
Topics Covered:
1. Algebra
Set theory, Venn diagrams
Operations on sets
Complex numbers – primary houses, modulus, argument
Quadratic equations and roots
Arithmetic and geometric development
Logarithms and their applications
Linear equations, simultaneous equations
Binomial theorem and its packages
Permutations and mixtures
2. Matrices and Determinants
Types of matrices
Operations on matrices
Determinant of a matrix
Inverse of a matrix
Applications in solving linear equations (Cramer’s Rule)
three. Trigonometry
Angles and their measurements
Trigonometric ratios and identities
Height and distance troubles
Properties of triangles
Inverse trigonometric features
Applications of trigonometry in actual existence
four. Analytical Geometry (2D and 3-D)
Cartesian coordinate system
Straight traces, distance, and segment formulas
Conic sections: circles, parabolas, ellipses, hyperbolas
3D geometry: direction cosines, direction ratios
Lines and planes in area
Sphere and its equations
five. Differential Calculus
Functions and boundaries
Continuity and differentiability
Derivatives and their packages
Maxima and minima
Increasing and reducing functions
6. Integral Calculus
Indefinite integrals
Definite integrals and their properties
Application of integrals in calculating place and quantity
7. Vector Algebra
Addition and subtraction of vectors
Scalar and vector merchandise
Applications in physics and geometry
8. Statistics and Probability
Measures of central tendency: mean, median, mode
Variance and general deviation
Elementary opportunity principle
Bayes’ theorem and simple chance troubles
2. General Ability Test (Paper II)
Duration: 2.Five hours
Maximum Marks: six hundred
The General Ability Test evaluates a candidate’s English talent, preferred knowledge, technology information, and modern affairs consciousness.
Part A: English (2 hundred Marks)
This segment assesses the candidate's grasp over the English language in phrases of vocabulary, grammar, and comprehension.
Key Areas Covered:
Grammar and utilization
Vocabulary
Synonyms and antonyms
Comprehension and reading abilities
Sentence association
Fill inside the blanks
Spotting the error
Idioms and phrases
Para jumbles
Active and passive voice
Direct and indirect speech
The goal is to test the candidate’s fundamental know-how of English in both written and spoken forms.
Part B: General Knowledge (400 Marks)
This section checks a candidate’s focus of fashionable science, history, geography, and modern-day affairs. It is subdivided into six components:
1. Physics
Properties of remember and sound
Heat, mild, and optics
Magnetism and power
Motion of items
Current energy and electrostatics
Nuclear physics and radioactivity
Basic electronics and electromagnetism
2. Chemistry
Elements, compounds, and combos
Atomic shape and chemical bonding
States of be counted: solids, drinks, gases
Acids, bases, salts, and their properties
Chemical equations and laws
Carbon and its compounds
Metals, non-metals, and their reactions
Environmental chemistry and makes use of in day by day life
three. General Science
Human frame: organs and their capabilities
Diseases and preventive measures
Nutrition and balanced weight loss plan
Living and non-dwelling things
Reproduction in animals and plants
Biotechnology and genetics
Environmental pollutants and weather exchange
four. History, Freedom Movement, and Culture
Ancient, medieval, and cutting-edge Indian history
Nationalist movement and vital leaders
Independence warfare
Constitution of India and key tendencies
Cultural heritage and monuments
Important revolutions and battles
5. Geography
Earth structure and surroundings
Mountains, rivers, lakes
Natural flowers and flora and fauna
Climate, climate, and soils of India
World geography: continents, oceans
Economic geography: agriculture, industries, shipping
Geographical functions of India
6. Current Events and Affairs
Recent country wide and global occasions
Sports and video games
Important authorities schemes and policies
Awards and honors
Defense and army physical games
International companies (UN, WHO, etc.)
NDA Exam Pattern Summary
Paper Subject Duration Marks
Paper I Mathematics 2.Five Hours 300
Paper II General Ability Test 2.Five Hours six hundred
Total (Written) 900
SSB Interview Personality + Medical Varies 900
Grand Total 1800
SSB Interview (900 Marks)
Candidates who clear the written check are referred to as for the SSB Interview, which consists of:
Stage 1: Screening Test (which include OIR - Officer Intelligence Rating, and PPDT - Picture Perception & Description Test)
Stage 2: Psychological Tests, GTO Tasks (Group Testing Officer), Personal Interview, and Conference
This stage evaluates a candidate’s persona, leadership talents, self belief, conversation skills, and bodily & mental health.
Preparation Tips Based on Syllabus
Build Basics: Focus on knowledge fundamental principles in math, technology, and grammar. NCERT books (Class 6 to twelve) are incredible for this.
Time Management: Solve mock assessments and beyond yr papers to enhance speed and accuracy.
Current Affairs: Stay up to date via newspapers, magazines, and on line structures.
Physical Fitness: Begin light exercises and stamina-building activities to put together for SSB and physical exams.
Smart Revision: Use precis notes and formulation sheets for brief revision, specifically in mathematics and GK.
2 notes
·
View notes
Text
youtube
Class 11 Math | Complex number | JEE Main PYQs | JEE, CUET, BITSAT, WBJEE Prep
Master Complex Numbers in Class 11 Mathematics with this in-depth video session, specially designed for students preparing for JEE Main, CUET, BITSAT, WBJEE, and other competitive exams. This lesson by SethiSwiftLearn breaks down the key concepts, formulas, and properties of complex numbers, helping you build a strong foundation.
📘 Learn how to:
Solve JEE Main Previous Year Questions (PYQs) on Complex Numbers
Understand modulus, argument, conjugate, and polar form
Tackle real vs imaginary number problems with ease
Apply properties of complex numbers in real exam situations
Perfect for students aiming to excel in JEE 2025, CUET, and beyond. Whether you’re revising or learning the topic for the first time, this video ensures conceptual clarity and exam-ready practice.
🎥 Watch now: https://youtu.be/f_CYJ_w-Tk4?si=UCU3_nwTAcf8nstn
#ComplexNumbers#Class11Math#JEEMain2025#CUETPrep#BITSAT#WBJEE#MathWithSethiSwiftLearn#PYQs#MathConcepts#EngineeringEntrance#Youtube
0 notes
Text
youtube
Complex Numbers Class 11 Maths Exercise 5.2 Chapter 5 Tutorial - MathYug
00:00:46 Cartesian Coordinate System and Polar Coordinate System
00:09:00 Relationship between cartesian coordinate system and polar coordinate system
00:20:48 Argand Diagram
00:32:00 Meaning of Modulus and Modulus of Complex Numbers mod(z)=|z|= r
00:35:00 Detailed explanation and derivation for argument of complex numbers arg(z), Polar form
01:00:11 NCERT Exercise 5.2 Question 1 01:03:11 NCERT Exercise 5.2 Question 2
01:05:01 NCERT Exercise 5.2 Question 3 01:07:55 NCERT Exercise 5.2 Question 4
01:09:42 NCERT Exercise 5.2 Question 5 01:11:51 NCERT Exercise 5.2 Question 6
01:18:41 NCERT Exercise 5.2 Question 7 01:20:11 NCERT Exercise 5.2 Question 8
#complex numbers#complex numbers class 11#class 11 maths#complex numbers and quadratic equations#complex numbers and quadratic equations class 11#class 11 maths chapter 5#mathyug#class 11 maths exercise 5.2#Youtube
0 notes
Text
✅ Check Point 02: Complex Numbers Questions Practice – JEE Main ke liye Full Concept Recap
Hello JEE Aspirants!Aaj ke is blog mein hum cover kar rahe hain Complex Numbers ke sabhi important topics through 18 conceptual questions. Agar aap JEE Main ya Class 11 Maths padh rahe ho, to yeh ek perfect revision aur practice checkpoint hai. Hum basic se lekar advanced tak sab kuch revise karenge practical examples ke through. Conjugate of a Complex NumberAgar koi complex number z = a + ib…
#9nid#Argument of complex number#Check Point 02#class 11 maths#Complex Number for Class 11#complex number questions#complex number revision#complex numbers#Conjugate of Complex Number#euler form#IIT Foundation#JEE 2025 Preparation#JEE Main 2025#JEE Maths#JEE Practice Questions#Logarithm of Complex Number#Maths for JEE#Modulus of Complex Number#Polar Form
0 notes
Text
✅ Check Point 02: Complex Numbers Questions Practice – JEE Main ke liye Full Concept Recap
Hello JEE Aspirants!Aaj ke is blog mein hum cover kar rahe hain Complex Numbers ke sabhi important topics through 18 conceptual questions. Agar aap JEE Main ya Class 11 Maths padh rahe ho, to yeh ek perfect revision aur practice checkpoint hai. Hum basic se lekar advanced tak sab kuch revise karenge practical examples ke through. Conjugate of a Complex NumberAgar koi complex number z = a + ib…
#9nid#Argument of complex number#Check Point 02#class 11 maths#Complex Number for Class 11#complex number questions#complex number revision#complex numbers#Conjugate of Complex Number#euler form#IIT Foundation#JEE 2025 Preparation#JEE Main 2025#JEE Maths#JEE Practice Questions#Logarithm of Complex Number#Maths for JEE#Modulus of Complex Number#Polar Form
0 notes
Text
How to derive Born's rule, instead of postulating it. Part II
Recently, in Part I of the deduction of Born's rule, I tried to explain how one can establish equiprobability in the classical case (Laplace's principle of indifference) and how this could be applied to an envariant quantum state in order to give a reason for the emergence of probabilities from the wave function. Hence, we derived Born's rule for a specific case - in the following, I will present you a more general (yet far away from being completely general) derivation that not only makes use of the envariance property but also of the idea of decoherence, hence the inclusion of the environment. The proof is taken from p.9-10 of [1]. Though not fully general, I think it is a neat argument; I will note at which points the generality gets limited. Having said this, let's start:
Reminder: What is envariance?
Envariance - entanglement assisted envariance - is an objective symmetry that provides a way of establishing equiprobability, as I explained in the previous entry. It is defined as the following:
Up to this point, S and E are just names, without further meaning. Additionally, note that already the usage of this symmetry property limits the generality of the proof: It can only be applied on entangled states; product states are not taken into account.
Envariance of a bipartite state with arbitrary phases?
In the previous entry, we directly checked the envariance property of a specific state and deduced Born's rule. Now, consider a state which is a bit more general:
Spelling out the tensor product will be omitted in the following. The definition of envariance requires local, unitary operators - these can be written as follows:
However, the state above is not envariant in the present form. To see this, apply the swapping operators to it:
The colored arrows denote the action of the swapping operators. As you can see, the phases α and β, are at the wrong position after applying both operators. Thus, the regarded state is not envariant, nevertheless there is a way to get this argument through.
Inclusion of the environment to restore envariance
In order to achieve equiprobability, hence Born's rule, it is required to include a further system, the environment E. Now, it is recommendable to give meaning to the names of the systems: S is the regarded quantum system and A is the apparatus. This is the usual notation when it comes to decoherence.
The environment E can be considered to have a lot of degrees of freedom, what makes it reasonable to introduce the index k and to set a new basis for the apparatus, hence for its pointer states. Additionally we set a certain form of the phases:

Both choices seem to come out of the blue right now, but you will see that they make sense in the subsequent steps.
Right now, confusion can arise if you're not familiar with the decoherence program; there's actually a lot to say about it, but going into the details would blast the length of the entry. Refer for example to [2] in case you are interested for the details and the ideas of the decoherence program. Maybe I will provide entries about this topic in the future.
Having noted this, we simply plug in the chosen basis and phases into the state from the beginning and simplify:

Now we can finally include the environenment and let the system decohere (again, I want to emphasize that this is difficult to understand without the preliminaries of decoherence; but I guess it is possible to accept this step for the moment):
Why does the inclusion of the environment help us? The resulting state is indeed envariant now! To see this, check the action of the swapping operators and we can see that a swapping operation on SA can be undone by the local operation on E. This is possible because we drew out the phase/prefactor in front of the sums.
Since this state is envariant we can happily conclude equiprobability. And after counting the amount of terms per sum of the state Φ_SAE, the first has μ terms, and the second has ν terms, one can finally deduce the probability of the state up and the probability for down of system S via the pathrule from basic probability theory. Alltogether:

As you can see, the resulting probabilities fit exactly with the modulus square of the phases, and this is exactly Born's rule!
Hence, one is capable of deduce Born's rule instead of merely accepting it! As a disclaimer I want to emphasize again, that this approach itself assumes some aspects that can be criticised and that the provided proof here was not done in full generality. Nevertheless it is a neat achievement of the decoherence program to deduce Born's rule via exhausting envariance and the inclusion of the environment.
---
References:
[1] Zurek - Quantum Theory of the Classical: Quantum Jumps, Born's Rule, and Objective Classical Reality via Quantum Darwinism, arXiv:1807.02092v1
[2] Schlosshauer - Decoherence, the measurement problem, and interpretations of quantum mechanics, arXiv:quant-ph/0312059
#physics#physicsblr#studyblr#quantum#mysteriousquantumphysics#quantum physics#quantum mechanics#decoherence#education
166 notes
·
View notes
Text
Proving De Moivre's Theorem
Building on: Deriving the trigonometric identities
Leads to: The general exact trigonometric forms for 45, 22.5, 11.125, etc.
The Theorem
De Moivre's Theorem is an important theorem when it comes to working with complex numbers, as it serves to greatly simplify otherwise painful calculations. The theorem states:
Where r is the modulus/magnitude of the complex number, and theta is the argument of the complex number. It'll be proven here, using mathematical induction...
The Proof
For the first step, we will prove that our statement is true for the initial value, n=2. This isn't too hard:
Thus, as the left and right hand sides are equal, De Moivre's Theorem is true for n=2.
The next step is to assume that the Theorem is true for some arbitrary value k (which is real and greater or equal to 2*). So we are assuming that the following is true:
The final step is to now show that the theorem is true for n=k+1.
It can get pretty messy, but as it can be seen, with the use of our trigonometric identities, they simplify down nicely to make the left and right and sides equal.
Now, as we were assuming that the Theorem is true for some n=k, which is a real number greater than or equal to 2, then we showed it must be true for n=k+1. The statement has been shown true for n=2, which is a real number equal to 2. 2 is a possible value for k, thus the Theorem is true for n=2+1=3. 3 satisfies the requirements of k, so it is true for n=3+1=4, and so on. It follows from this that De Moivre's Theorem is true for any integer n greater than 2.
Important Notes
I feel like there is an important note to end on... this proof only works with integer powers. The reason for this is the Fundamental Theorem of Algebra, which states that for any polynomial of nth degree, or any number taken to the nth root, there are n solutions. This can be seen in the real numbers, where taking the square root gives 2 solutions. On the complex plane, a point z, with a cube root taken will have 3 solutions (n=1/3), a quartic root will give 4 solutions (n=1/4), a quintic root will give 5 solutions (n=1/5), and so on. De Moivre's theorem still works with these values, but just note that you will only yield one solution if you don't do anything more here.
P.S. Made a little mistake, for the proof, neither n nor k have to be greater than or equal to 2. They can be greater than 0 and still yield the same proof. My bad adkjfdhl
6 notes
·
View notes
Text
Chapter 3
Stalking is something that happens, where you're reading a book, and there's a character you want to get to know but you're also wary. You know there are ways to get around this, to use the book's syntax to turn the book into a kind of ArteAudio, but you don't know what they are yet.
Stalking is what you do to James, to implement Ada; Mary to Adele; Matilda to Matilda; Leonhard to Leonhard. Everyone is a sort of walking encyclopedia. Stalking is how you look up everything in public libraries (or YouTube or Wikipedia), or through all of the bookcase illustrations or in every page of a book. Stalking is how you type procedural programs into a stapler, or suit yourself the markup on a document, or how you plumb all the subfields with a molecular clock.
Stalking is the prettiness of memories, sure, but it's also the howling wind through the open window at a thunderstorm, and it's also the solemn mountain vista that looks like any other, then rustles in darkness, and there are irregular shapes there, like leaves. Not only that, but there is the faint hiss of rust, and something nasty crawls out. Listening gets harder when you think there's something there. If only you know what to look for, there is much to see and much to see to see.
Stalking is the beige sofa in Brian's room, its little leather fan, its thick, nondescript bookshelves and desk. Stalking is T.S. Eliot confessing that he'd change his mind in a second. Stalking is the elderly prig you hired to help clean the bathroom, and during his very first appointment he decided it was absolutely vital that you refer to him by his first name, under the breath, not "Buh-dick." Stalking is the florid exclamation you can't help but say, which you know is a dick joke you aren't meant to understand, but isn't sure it's any better to say out loud, for personal reasons you can't describe, thinking of the awful, famous bodyguard who's always armored up, posing atop raised platforms in the half-light, always with his blade drawn.
Stalking is your library catalogue. Stalking is the soft rustle of leaves in the breeze. Stalking is potential perception, and excitability. Stalking is excitement, the constant excited humming of a very big nowhere machine, with no SOURCE CODE for anybody to see and nobody to SEE it.
Stalking is: Doing research.
Stalking is the frustration and awkwardness of research, and the satisfaction and calm of TIL trolling.
Stalking is the way that there is no little difference between doing a thing and actually doing it, the feeling that you've accomplished nothing of any particular significance, and yet, in a one-off moment, you have, that little part, that little act, that does something more meaningful than any of the actual things you accomplish, more important.
Stalking is the next day's paper. Stalking is having perceptions. Stalking is the lollapalooza live stream and the commentators' waffle about drawing power levels and relevant data parsers. Stalking is the results, one after another, in every aspect of every sub-field: "we think this result is ≈X," "this result is within −3S and Y down to application of appropriate test on the modulus of Z," but otherwise nothing. Stalking is the stories and the graphs: The company I worked for produced ArcGIS Online, a map-management system based on ArcGIS Online. These were released under an open-source license, but they required ArcGIS Online users to adjust their software to crash and lock up, accept constant warnings, and agree to terms that gave ArcGIS Online and its developer, another company I worked for, the right to inspect any computers they own or run. Basically, they wanted everyone who used ArcGIS Online to forfeit their right to make changes to ArcGIS, and preserve their organization's monopoly over ArcGIS usage.
Stalking is how they still won this fight when everyone else figured out exactly what happened, and let the court descriptions of their arguments be their guide.
Stalking is the description of how badly they fcked up, the US Court of Appeals for the District of Columbia Circuit striking down the DMCA analog provisions, saying they conflicted with the DMCA and the proper interpretation requiring authorization before resolvers could act on "metaphorical invasions of privacy," and saying they should not be enforced at all. Stalking is how they didn't get their way and were forced to introduce a different version with less ridiculous constraints. Stalking is how they still couldn't resist resorting to the old tricks, the DMCA's safe harbors: Why would you think there was a problem with banning a DMCA-licensed product that violated the DMCA, when you outlawed every DMCA-licensed product that violates the statute? And that's the first thing they tried next. Stalking is how they pulled the same shit they have always pulled, and why everyone thinks it's important to elaborate on their intentions, even though everyone knows them.
Stalking is ted talk bullshit.
Stalking is the things you mention, and the links to other things you mention, and the rhythm and cadence in which you deliver them.
Stalking is the level you choose to play at, the emotion behind the words.
Stalking is the vague, rambling ruse.
Stalking is the side you choose to show most of the time.
Stalking is the way your personality manifests, every single word you say falling perfectly-maliciously along both of those axes — "we're rule-abiding corporate citizens" and "I'm so busy that I'm not even thinking about punishing corporate sinners like this" and "pedophile," the proper punishment. And, on a slightly different level, each and every one of your claims about what would be harmful for the customer, obviously and unconstitutionally.
Stalking is the way you speak when nobody is watching.
Stalking is the way people have known all along you were evil, but have kept it to themselves.
"I'm a creative type who cannot stand butthurt, so I adopt an obnoxious personality in order to maintain a handsome social image," is Mein Kampf for creatives. "I'm not evil, dammit!" is Your Party Platform.
Tumblr is listening. Tumblr, these people are you know who knows, that one Mein Kampf-style manifesto could have been anything, and that's probably the real distinction between you and them — you subscribe to certain social norms, but not others.
Stalking is, using Tumblr as your plaything, you keeping up the given routine even when no one is watching. You tagging conversations you dislike as "not for Writers." This has never been something that affected you, out of proportion to your reasonable reservations about those kinds of conversations, or their inappropriate emotional tone. You see it as part of your performances, part of the persona you perform online.
Stalking is "tall poppies." Others say your kind of people have a right to be sniffy. "Really?" you say. "We're not trying to live Oaks trees." You reblog Quinn blocking wraiths and post about the wisdom of trees of 250-year-old Oak stands. You speak approvingly of Ol' Reliable's approach to using the platform. "I recommend this as an investment." You note his popularity in leftist circles. "Hi Ol Reliable." You pounce on any
2 notes
·
View notes
Text
Advent of Code
As a child, advent calendars always added to the sense of anticipation in the lead up to Christmas. In my day you would be lucky to get a small picture behind each of the doors. These days, children expect chocolates or sweets. My wife has once even had a "Ginvent Calendar", with gin behind each door.
This year I marked Advent by having a go at the "Advent of Code" which has Christmas-themed programming puzzles posted each day. Most days are in two parts, with an easier puzzle followed by a harder one. Traditionally, I've posted a (mostly ignored) programming puzzle to our development team each Christmas. Last year I just recycled one of the Advent of Code puzzles, but this year I suggested we attempt the whole thing. The puzzles are so well thought out, in comparison to my efforts, that it seemed pointless to compete.
In the end, several of the team had a go. Some of the puzzles were harder than others, but I managed to solve them all by Boxing Day. What follows are some personal anecdotes from the various days with some general thoughts at the end. Note that there are some spoilers and the notes won't mean much if you've not done the puzzles. So in this case just skip to the end.
a sum-finder. I implemented the search tree via recursive calls. I drifted into using Python right from the start. It just felt like the easiest way to hack the puzzles quickly. In the past I had thought about using the puzzles to learn a new language. A colleague had done that with Rust in a previous year. Despite these good intentions, expediency took a firm hold. That said, in several puzzles I would have liked immutable collections or at least Lisp-style lists.
a pattern counter. Not that interesting except patterns were emerging in the programs themselves. Regular expressions got used a lot to read in the puzzle data. I learnt about things like match.group(1,2,3) which returns a tuple of the first three match groups, so you don't have to write (m.group(1), m.group(2), m.group(3)).
a grid tracer. The first interesting one because it was unfamiliar. Some other patterns started emerging: problem parameters got promoted to command line arguments, and data structure printers got hacked to help debugging. These two were often added between part 1 and part 2 of each problem.
a data validator. This felt like a bit of a slog. It was mostly about capturing the validation rules as code. Even though I made a point of reminding myself at the start that re.search doesn't match the whole string I still forgot it later. Duh.
an indexing problem. I patted myself on the back for realizing that the index was a binary number (or pair of binary numbers as I did it). At this point the solutions were still neat and I would do a little code golfing after the solution to tidy them up a bit and make them more concise.
another pattern counter. Pre-calculating some things during data reading kept the later code simple.
a recursive calculator. This was one of those puzzles where I had to reread the description several times to try and understand what it was asking for. It entailed a slightly tricky recursive sum and product, which was again made easier by creating more supporting data structures while reading the input data.
an interpreter. Probably my favourite individual puzzle because it was so sweet, especially after a bit of refactoring to make the language more data-driven.
another sum-finder. I found I didn't particularly like these.
an order-finder. This was the first one that made me pause for thought. An overly naive search algorithm from part 1 hit a computational complexity wall in part 2. I beat the problem by realizing that the search only had to be done on small islands of the data, but a colleague pointed out there was a better linear solution. The code was starting to get a bit ragged, with commented out debugging statements.
the game of life. The classic simulation but with some out-of-bounds spaces and some line-of-sight rules. It helped to print the board.
a map navigator. I liked this one even though I forgot to convert degrees to radians and that rotation matrices go anti-clockwise. I even introduced an abstract data type (ADT) to see if it would simplify the code (I'm not sure it ever did - I mostly used lists, tuples, strings, and numbers). The second parts of the puzzles were starting to get their own files now (usually bootstrapped by copying and pasting the first part's file).
a prime number theorem. I actually got stalled on this one for a bit. It eventually turned out I had a bug in the code and was missing a modulus. In effect I wasn't accounting for small primes far to the right. I left the puzzle and went on to complete a couple of others before coming back to this one. I checked what I was doing by Googling for hints, but in the end I had to take a long hard look at the data and find my own bug.
some bit twiddling. Part 1 felt like I found the expected bitwise operations, but part 2 felt like I was bashing square pegs into round holes.
a number sequence problem. Another pat on the back, this time for keeping a dictionary of recent occurrences and not searching back down the list of numbers each time. Another recurring pattern is evident: running a sequence of steps over the data. I liked to code the step as its own function.
a constraint solver. A nice one about labelling fields that satisfy the known constraints. Half the code was parsing the textual rules into data.
another game of life simulation. This time it was in more dimensions. I generalized from 3 dimensions to N instead of just doing 4. This made it more of a drag. I started naming auxiliary functions with placeholder names (social services should have been called). Also, I tacked on extra space along each dimension to make room at each step. This felt very ugly. I should have used a sparser representation like I did for day 24.
an expression evaluator. I used another actual ADT and wrote a simple but horrible tokenizer. The evaluator was okay but I hacked the precedence by inserting parentheses into the token stream. Don't try this at home kids.
another pattern matcher. Probably my biggest hack. My code compiled the pattern rules into a single regular expression. This was cute but meant the recursive rules in part 2 needed special treatment. One rule just compiled into a repeated pattern with +. Unfortunately, the other rule entailed matching balanced sub-patterns, which every schoolchild knows regular languages can't do. Perhaps some recursive pattern extensions might have worked, but I assumed there would be no more than 10 elements of the sub-patterns and compiled the rule into a large alternative of the possible symmetrical matchers. Yuck.
a map assembler. I did this one the most methodically. It had proper comments and unit tests. Overall it took the most code but perhaps it was just dealing with all the edge cases (ba dum tss). But seriously, it seemed to take a lot of code for rotating and flipping the tiles even after knowing how they must be connected. So probably there was a better approach. It was still satisfying the see the answer come out after all that work. Curiously, this one involved little debugging. I wonder if perhaps there is some connection between preparation and outcome?
a constraint solver. I tried a dumb approach first based on searching all the possible bindings. That didn't look like it was terminating any time soon. So I reverted to a previously successful technique of intersecting the associations and then then refining them based on the already unique ones.
a recursive card game. This card game playing puzzle seemed to be going okay, but the real data didn't converge for part 2. Had a quick Google for a hint after battling with it for a while, and the first hit was from someone who said they'd misread the question. Sure enough I had too. My recursive games were on the whole deck instead of the part dictated by the cards played. Duh. The description was clear enough and included a whole worked game. I just hadn't read it properly. It still seemed to need some game state memoization to run tolerably fast.
a circular sequence. Took three attempts. A brute force approach using an array was good enough for part 1, but no way was it going to work on part 2. Even optimizing it to use ranges was still 'non-terminating' for the array-based solution. So I Googled for a little inspiration and found the phrase "linked lists" and slapped my forehead hard. I switched to a dictionary of labels to labels and the solution popped out very easily, without any further optimization. Embarrassing. Was it time to ceremonially hand in my Lisp symbol and fall on a sharpened parenthesis?
another game of life. This one sounded neat because it was about a hex grid, but I didn't know how hex grids are usually indexed. So for the first time I did a little bit of general research at the start. Turns out there are a bunch of ways to index a hex grid. I opted for using 3-axes as that seemed natural despite the redundancy. The map itself was just a dictionary of locations. I should have looked up how to have structured dictionary keys in Python (implement __hash__) but I couldn't be bothered so I (look away now) serialized and deserialized the locations to and from strings. I still had a bug which I couldn't find until I hacked a crude hex board printer and realized I wasn't carrying the unchanged cells over from one iteration to the next.
a cryptographic puzzle. Came out quite short but only after some faffing around. Main trick seemed to be to keep the transformation ticking along instead of recalculating it from scratch each time. There was slight disappointment (tinged with relief) that there was no part 2.
Some general lessons I felt I (re)learned:
Read the questions very carefully, then reread them.
Try and use terms from the questions. Don't invent your own terminology and then have to map back and forth.
Make the trace output exactly like the examples to help comparison.
Next time I'd consider using BDD to turn their examples directly into tests. Next time.
Try the problem for a while by yourself, then think about it offline, and only then Google for hints.
Next time I'd consider using some form of source control from the start, or just a better set of file naming conventions.
Regular expressions go a long way, but can then they can get in the way.
Next time I'll consider doing it using a language I'm learning.
Sometimes when you get stuck you have to start again.
During some low moments it all felt like make-work that I'd inflicted on myself, but in the end it was a nice set of training exercises. I'd encourage others to have a go at their leisure.
"Practice is the best of all instructors." -- Publilius Syrus
2 notes
·
View notes
Text
another reason why cis ppl are not valid: cis is also shorthand of the modulus-argument form of complex numbers
#eddie woo ilu but i will not write out r(cos(arg z) + isin(arg z)) each time i do not care that it properly shows points on a diagram!!!!!#im cis can i say this??
3 notes
·
View notes
Text
Hello? Anybody here know how to work w modulus and arguments?
4 notes
·
View notes
Video
youtube
Introdution of Complex Numbers | How to Find Modulus and Argument of Com...
1 note
·
View note