#coordinatesystem

[edgythoughts]

Why Is Zero So Powerful in Math 2025

Why Is Zero So Powerful in Math 2025

📘 Book-Level Answer (University-Level – Mathematics & History) Zero, represented as “0,” is not just a placeholder or a symbol for "nothing"—it is a cornerstone of modern mathematics. The introduction and understanding of zero fundamentally reshaped arithmetic, algebra, calculus, computer science, and even philosophical reasoning in mathematics. 🔢 Mathematical Power of Zero 1. Zero as an Identity Element In arithmetic, zero is the additive identity, which means: a+0=afor any real number aa + 0 = a quad text{for any real number } a This property is foundational to number theory and linear algebra, especially when defining vector spaces and algebraic structures like groups and rings. 2. Zero in Algebra - Roots of equations: Solving for when an equation equals zero helps us find key points like intercepts and turning points. - Zero-product property: If ab=0ab = 0, then either a=0a = 0, b=0b = 0, or both — a crucial principle in factoring and solving equations. 3. Zero in Calculus - Limits and continuity: Zero plays a key role in limits. For example, lim⁡x→0sin⁡xx=1lim_{x to 0} frac{sin x}{x} = 1 - Derivatives: The rate of change is often zero at maximum or minimum points. 4. Zero in Coordinate Systems Zero gives us the origin in a Cartesian coordinate system (0,0)(0, 0), a reference point from which we measure all other positions in geometry and physics. 5. Zero in Computer Science Binary code (the language of computers) is built using only two digits: 1 and 0. Zero represents the “off” state in logic gates and digital signals.

📜 Historical Significance of Zero - Ancient Origins: Zero was developed independently in ancient India (by Brahmagupta in the 7th century) and Mesoamerica (by the Mayans). - It revolutionized counting systems—especially the place-value system—making arithmetic operations like multiplication and division practical and scalable. 💡 Easy Explanation (Understanding Zero for Everyone) Imagine you're playing a game where you score points. If you have “0 points,” you haven't scored yet—but that still means something. Zero tells you where you are, even if it's at the starting point. Why is zero powerful? - It’s not just nothing—it’s a marker. A starting line. - Without zero, we couldn’t write big numbers like 1,000. You’d be stuck figuring out whether 1 is ten or a hundred! - It balances equations. If you want to keep things fair on both sides, you often use zero. In everyday life: - Bank account: If you have ₹0, you know exactly how much you have—not unknown or empty, but zero. - Temperature: Zero degrees is the point between freezing and not freezing—it's important! 🧠 Summary: - Zero is the additive identity. - It makes equations solvable and systems like calculus work. - It marks origin points in math and space. - It powers computer logic. - It revolutionized number systems and mathematical thinking. ⚠️ Disclaimer: The easy explanation is just to help you understand the concept in simple terms. For academic or exam purposes, always rely on the detailed explanation. If you score less for using this simplified version, we're not responsible—we're just here to make things clearer for learning purposes. 🔗 Related Reading from Our Blog: - How Does Quantum Entanglement Work 2025 https://edgythoughts.com/how-does-quantum-entanglement-work-2025 - How Do Gravitational Waves Affect Space-Time 2025 https://edgythoughts.com/how-do-gravitational-waves-affect-space-time-2025 🔗 External Source: - https://en.wikipedia.org/wiki/0 Read the full article

[9nid]

Coordinate geometry for IIT JEE Distance & Section formula Oblique & rectangular system

This video offers a detailed exploration of coordinate geometry, drawing from SL Loney’s influential teachings. We will discuss the distance formula, section formula, and the characteristics of both oblique and rectangular coordinate systems. Perfect for students and educators alike, this presentation aims to simplify these concepts and provide practical examples. Tune in to enhance your…

[edusquaremaths]

Coordinate geometry for IIT JEE Distance & Section formula Oblique & rectangular system

This video offers a detailed exploration of coordinate geometry, drawing from SL Loney’s influential teachings. We will discuss the distance formula, section formula, and the characteristics of both oblique and rectangular coordinate systems. Perfect for students and educators alike, this presentation aims to simplify these concepts and provide practical examples. Tune in to enhance your…

[dr0n3l0rd-blog]

View this post on Instagram

A post shared by 🦊Corgis, Drones + Robots 🤖 (@corgis_drones_robots)

#dr0n3l0rd #bitcoin #payout #readytowork #ready2work #NewMexicoBound #tripready #construction #paidforwithbitcoin #paidforwithcrypto #cryptocurrency #practicalusage #makeshift #makeshiftequipment #midnightrun #solarpowered #offthegrid #synthiaAI #development #inthemountains #NMexpansion #Texas2NewMexico #Taos #TresPiedras #nightdrive #coordinatesystem #coordinates #mastermapper #prepared #herewego

[flufy07]

I really don't understand what kind of point is being tried to be made here?

So what if the sith are law abiding? That doesn't make them good people.

In pen and paper roleplayes like D&D you have something called alignment. In the middle there is true neutral and then you have in the opposites good vs evil and lawful vs chaotic. Look at it like a coordinatesystem. A character can be lawful good, lawful evil, chaotic good and chaotic evil. Or they can have only one of those traits while other remains neutral.

Let's take robbin hood for example:

He is acting against the laws of his country and is therefore chaotic but he does so with good intentions which makes him good.

The sith are lawful within their own empire and if I remember correctly by the time the clone wars happened it wasn't elegal to be a sith in the republic but that doesn't make them good. Genocide and slavery are just some of their atrocities.

Some people tend to defend the Sith and explain why the Jedi are bad by using the concept of revenge vs justice. Though they blur the lines between them often claiming they are the same. However revenge and justice are two different concepts. Revenge is selfishness, when you’re after revenge you are after it for yourself. The Sith are vengeful, they aren’t in it for others only themselves. The Jedi on the other hand are just. Justice is a selfless concept, when you are just you are in it for others not yourself. People tend to blur these lines. Calling the Jedi hypocrites claiming that Jedi are vengeful, saying that justice is just another word for revenge. Though they forget, revenge like the Sith is selfish and justice like the Jedi is selfless.

[mikeandpixels]

OpenGL transformation matrix

People easily get confused with OpenGL transformation matrices and one way to understand them is that every transformation matrix is actually doing transformation of "Current drawing coordinate system", let's try to understand this way rather than thinking of the transformation applied to objects.  So now the order of definition of the transformations in OpenGL becomes natural.  For example, when you begin with glTranslate(), every objects drawn after that are translated because the whole drawing coordinate system itself is translated and imagine now we further issue a glRotate() command, all objects drawn from now on would be both rotated and also translated.  This also helps to understand how hierarchical transformation works.