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168 notes for mathematics

Algebraic Techniques and Equations
math
…Think of algebra as a set of tools that lets you reshape a mathematical expression without changing its fundamental value, just like a sculptor reshapes clay. You're looking for t…
Equilibrium of a Rigid Body
system of particles
…rly (it's either at rest or moving at a constant velocity). Mathematically: $\Sigma \vec{F} = 0$, which breaks down into $\Sigma Fx = 0$, $\Sigma Fy = 0$, and $\Sigma Fz = 0$ (for…
Introduction to ADTs and Abstract Thinking
how to implement adt
…complex internal workings. An Abstract Data Type (ADT) is a mathematical model for data types. It specifies the data stored and the operations that can be performed on that data, w…
Physics Fundamentals
talentex · vibgyor high icse
…o vast galaxies, by observing phenomena and describing them mathematically. You'll learn about motion, forces, energy, and waves, which are key to understanding everyday life and a…
Understanding Digits and Numbers
maths lesson 2 place value
…hese ten digits. Photo by Black ice on Pexels A number is a mathematical value or quantity. It's what we use to count things or measure amounts. Numbers are usually made up of one…
Foundations of Algebra: Variables and Expressions
grade 9 simplifying algebra
…ding variables helps you translate everyday situations into mathematical statements, making problems easier to solve. Think of a variable as a placeholder, like an empty box, waiti…
Algebraic Expressions and Equations
Math · School
…s are precisely formulated linguistic constructs within the mathematical discourse, representing quantitative relationships without assertion of equality, while algebraic equations…
Introduction to Limits and Continuity
Calculus
…draw a function's graph without lifting your pencil, which mathematically depends on the limit matching the function's actual value. Understanding these concepts is fundamental fo…