Все публикации

Dive Into the

Dive Into the World of Math with Me! 🌟

AC Method

AC Method

Proof that C(2n,

Proof that C(2n, 2)=2*C(n,2)+n^2

Algebraic Proof that

Algebraic Proof that C(n,r)C(r, k)=C(n, k)C(n-r, r-k)

Algebraic Proof of

Algebraic Proof of k*C(n,k)=nC(n-1, k-1)

For some positive

For some positive odd integer n, n^2 is congruent to 1 mod 8

For any integer

For any integer n, n^2 is congruent to 0 or 1 mod 4

If n divides

If n divides m and a congruent to b mod m, then a congruent to b mod n

Proving four statements

Proving four statements involving parity of integers are equivalent PART 1 OF 2

Proving four statements

Proving four statements involving parity of integers are equivalent PART 2 of 2

There is a

There is a unique solution of the equation ax + b = c

5x + 5y

5x + 5y is odd when x and y have opposite parity

x is rational

x is rational iff x_2 is rational iff 3x-1 is rational

m^2=n^2 iff m=n

m^2=n^2 iff m=n or m=-n

If 3n +

If 3n + 2 even, then n even. proof by contradiction

Proof by contraposition:

Proof by contraposition: if 3n + 2 even, then n even

Proof by contradition:

Proof by contradition: if mn even, then m even or n even

If mn even,

If mn even, then m even or n even

If m +

If m + n, n + p are even, then m + p is even

Introduction to Negation,

Introduction to Negation, Disjunction, Conjunction Operators

Factoring ax^2+bx+c, AC

Factoring ax^2+bx+c, AC Method

Write gcd(119,84) as

Write gcd(119,84) as a linear combination of 119 and 84

Chinese Remainder Theorem

Chinese Remainder Theorem Example

Playing Chinese Remainder

Playing Chinese Remainder Theorem Game