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How to Find the Derivative

Aug 30, 2021

In order to find the derivative $f'(x)$ of a particular function $f(x)$ we need to...

Vieta’s Formulas

Aug 16, 2021

Let $x_1$ and $x_2$ be the solutions of the quadratic equation $$ ax^2+bx+c$$ Vieta’s Formulas...

Invariant

Aug 16, 2021

An invariant is a quantity or a property of an object that is unchanged under-considered...

Euler’s Theorem

Jul 14, 2021

Euler’s Theorem states that for a positive integer $n$ and an integer $a$ relatively prime...

Bezout’s Identity

Jun 15, 2021

Bezout’s Identity states that for any natural numbers $a$ and $b$, there exist integers $x$...

Mathematical Induction: Inequalities

Jun 15, 2021

Mathematical Induction is used to prove that the statement of the problem $P(n)$ is true...

Mathematical Induction: Combinatorics

Jun 15, 2021

Mathematical Induction is used to prove that the statement of the problem $P(n)$ is true...

Mathematical Induction: Algebra

Jun 15, 2021

Mathematical Induction is used to prove that the statement of the problem is true for...

Mathematical Induction: Number Theory

Jun 15, 2021

Mathematical Induction is used to prove that the statement of the problem is true for...

Monovariant

Jun 12, 2021

Monovariant is a quantity related to the object that is monotonous under-considered operations. Problem (Tournament...

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