Канал: mathAHA

Proof: x^2 is NOT uniformly continuous

Proof: x^2 is NOT uniformly continuous

Law of Large Numbers vs. Gambler's Fallacy

Law of Large Numbers vs. Gambler's Fallacy

Calculating poker hand probabilities

Calculating poker hand probabilities

12&21, 13&31: Special squares

12&21, 13&31: Special squares

#MEGAFAVNUMBERS MegaFavNumbers -- 1,048,576 = 2^20

#MEGAFAVNUMBERS MegaFavNumbers -- 1,048,576 = 2^20

Solving the Coin Hexagon Puzzle

Solving the Coin Hexagon Puzzle

The distributive property of sets: A trick for remembering them

The distributive property of sets: A trick for remembering them

The Oddly Hypnotic Octahedron

The Oddly Hypnotic Octahedron

Platonic to Archimedean Solids

Platonic to Archimedean Solids

Measurable function proof with generator

Measurable function proof with generator

Measurable functions

Measurable functions

"Seeing" sin, cos and tan values

"Seeing" sin, cos and tan values

Multiplying with an even number

Multiplying with an even number

Multiplying and adding lists of numbers

Multiplying and adding lists of numbers

The coin rotation paradox

The coin rotation paradox

3 Trig derivatives: Proving the inverses'

3 Trig derivatives: Proving the inverses'

arcsin(x)+arccos(x)=pi/2: A visualization and proof

arcsin(x)+arccos(x)=pi/2: A visualization and proof

2 Trig derivatives: Proving them

2 Trig derivatives: Proving them

sin(x)^2 + cos(x)^2=1: A visualization

sin(x)^2 + cos(x)^2=1: A visualization

Why sin(-x)=-sin(x) and cos(-x)=cos(x), Part 3.

Why sin(-x)=-sin(x) and cos(-x)=cos(x), Part 3.

All you need is sine

All you need is sine

The camel's way of remembering the graphs of sine and cosine

The camel's way of remembering the graphs of sine and cosine

A mathematical proof that every piano is out of tune

A mathematical proof that every piano is out of tune

1 Trig derivatives: Using patterns to remember them

1 Trig derivatives: Using patterns to remember them

Deriving the rule for partial integration

Deriving the rule for partial integration

Something interesting about the maximum of the nth root of n

Something interesting about the maximum of the nth root of n

The nth root of n converges to 1

The nth root of n converges to 1

The nth root of c converges to 1

The nth root of c converges to 1

Sine Values: An easy trick

Sine Values: An easy trick

The root test and the ratio test explained with the geometric series

The root test and the ratio test explained with the geometric series

Inventing Taylor Polynomials

Inventing Taylor Polynomials

Remembering the Lagrange form of the remainder for Taylor Polynomials

Remembering the Lagrange form of the remainder for Taylor Polynomials

Using Rolle's Theorem to prove the Mean Value Theorem

Using Rolle's Theorem to prove the Mean Value Theorem

Proving Rolle's Theorem using the Extreme Value Theorem

Proving Rolle's Theorem using the Extreme Value Theorem

Fighting Rolle's Theorem

Fighting Rolle's Theorem

Proving continuity -- finding delta

Proving continuity -- finding delta

The power set of IN is uncountable

The power set of IN is uncountable

The Three Indistinguishable Dice Puzzle -- 1-2-3 Scheme (Examples)

The Three Indistinguishable Dice Puzzle -- 1-2-3 Scheme (Examples)

The Three Indistinguishable Dice Puzzle -- 1-2-3 Scheme (Short Explanation)

The Three Indistinguishable Dice Puzzle -- 1-2-3 Scheme (Short Explanation)

The Three Indistinguishable Dice Puzzle -- Boxcar-Big-Omega-Formula

The Three Indistinguishable Dice Puzzle -- Boxcar-Big-Omega-Formula

The Three Indistinguishable Dice Puzzle -- 1-2-3 Scheme (with proof)

The Three Indistinguishable Dice Puzzle -- 1-2-3 Scheme (with proof)

The Three Indistinguishable Dice Puzzle - Short formula with proof

The Three Indistinguishable Dice Puzzle - Short formula with proof

The Three Indistinguishable Dice Puzzle -- Improved Solution

The Three Indistinguishable Dice Puzzle -- Improved Solution

Types of cousins: explained

Types of cousins: explained

Square roots of distinct prime numbers are not rational multiples of each other

Square roots of distinct prime numbers are not rational multiples of each other

Vector Spaces 2: Proof that R over Q is of infinite dimension

Vector Spaces 2: Proof that R over Q is of infinite dimension

Vector Spaces 1: What is the dimension of R over Q?

Vector Spaces 1: What is the dimension of R over Q?

Roots of unity in finite fields 2: Using complex numbers to find roots of unity

Roots of unity in finite fields 2: Using complex numbers to find roots of unity

Roots of unity in finite fields 4: An equivalent characterization of primitive cube roots

Roots of unity in finite fields 4: An equivalent characterization of primitive cube roots

Roots of unity in finite fields 3: A shortcut to find a second primitive cube root of unity

Roots of unity in finite fields 3: A shortcut to find a second primitive cube root of unity

Roots of unity in finite fields 1: Primitive roots of unity

Roots of unity in finite fields 1: Primitive roots of unity

Horner's Method 6: Why it works for higher derivatives

Horner's Method 6: Why it works for higher derivatives

Horner's Method 7: Another bridge between function values and polynomial division

Horner's Method 7: Another bridge between function values and polynomial division

Horner's Method 8: How it works for Taylor polynomials

Horner's Method 8: How it works for Taylor polynomials

Something nice about triangles 2

Something nice about triangles 2

Something nice about triangles 1

Something nice about triangles 1

Horner's Method 1: Introduction to a marvelously mesmerizing mathematical method

Horner's Method 1: Introduction to a marvelously mesmerizing mathematical method

Horner's Method 5: Why it works for the derivative

Horner's Method 5: Why it works for the derivative

Horner's Method 4: The bridge between function values and polynomial division

Horner's Method 4: The bridge between function values and polynomial division

Horner's Method 3: Why it works for polynomial long division

Horner's Method 3: Why it works for polynomial long division

Horner's Method 2: Why it works for computing function values

Horner's Method 2: Why it works for computing function values

Gauss-Legendre Quadrature 6: Advanced topics

Gauss-Legendre Quadrature 6: Advanced topics

Gauss-Legendre Quadrature 7: The formula from a different angle

Gauss-Legendre Quadrature 7: The formula from a different angle

Integral approximation 2: Left, Right, Midpoint, Trapezoid, Simpson's Rule, 3/8 Rule

Integral approximation 2: Left, Right, Midpoint, Trapezoid, Simpson's Rule, 3/8 Rule

Integral approximation 1: Left, Right, Midpoint, Trapezoid, Simpson's Rule, 3/8 Rule

Integral approximation 1: Left, Right, Midpoint, Trapezoid, Simpson's Rule, 3/8 Rule

Why sin(-x)=-sin(x) and cos(-x)=cos(x), Part 2.

Why sin(-x)=-sin(x) and cos(-x)=cos(x), Part 2.

Why sin(-x)=-sin(x) and cos(-x)=cos(x), Part 1.

Why sin(-x)=-sin(x) and cos(-x)=cos(x), Part 1.

Gauss-Legendre Quadrature 5: An example

Gauss-Legendre Quadrature 5: An example

Gauss-Legendre Quadrature 4: Interval transformation

Gauss-Legendre Quadrature 4: Interval transformation

Gauss-Legendre Quadrature 3: The proof

Gauss-Legendre Quadrature 3: The proof

Gauss-Legendre Quadrature 2: Solving the equations

Gauss-Legendre Quadrature 2: Solving the equations

Gauss-Legendre Quadrature 1: Setting up the equations

Gauss-Legendre Quadrature 1: Setting up the equations