Канал: Potato Mathematician

Program to find Average Distance between Random points in a Square

Program to find Average Distance between Random points in a Square

Lagrange's 4 Square Theorem using Python

Lagrange's 4 Square Theorem using Python

Prime Numbers Patterns

Prime Numbers Patterns

Pi Approximations

Pi Approximations

Year : 2022

Year : 2022

Visual Proofs - 1 : Sum of Natural Numbers

Visual Proofs - 1 : Sum of Natural Numbers

Proof that (-1) x (-1) = +1

Proof that (-1) x (-1) = +1

Friedman Numbers

Friedman Numbers

Problem #10

Problem #10

Integration No. 19

Integration No. 19

Summation of Infinite Series

Summation of Infinite Series

Continued Fractions

Continued Fractions

Limits

Limits

Interesting Numbers

Interesting Numbers

My health is bad

My health is bad

Fibonacci - #5 - Powers of Golden Ratio

Fibonacci - #5 - Powers of Golden Ratio

Interesting Numbers

Interesting Numbers

Problem #9

Problem #9

OEIS : A258484

OEIS : A258484

Number 5

Number 5

My Health is Bad

My Health is Bad

Binomial Coefficients Sum

Binomial Coefficients Sum

Trinomial Expansion

Trinomial Expansion

Pi ( π )

Pi ( π )

Harmonic Numbers

Harmonic Numbers

Nested Radical

Nested Radical

Integration - No 18

Integration - No 18

Goldbach's Conjecture

Goldbach's Conjecture

1-100 using Three 9's

1-100 using Three 9's

Limit of Sum

Limit of Sum

Sum of Digits of Numbers to power - p ( 2 to 4 )

Sum of Digits of Numbers to power - p ( 2 to 4 )

TIC-80 : Program for Repeated Sum of digits of given number to power - p

TIC-80 : Program for Repeated Sum of digits of given number to power - p

TIC-80 : Program for Aliquot Sequence

TIC-80 : Program for Aliquot Sequence

Summation

Summation

Summation Problem

Summation Problem

Summation of Infinite Series

Summation of Infinite Series

Interesting Numbers Facts : π , e , i , ϕ

Interesting Numbers Facts : π , e , i , ϕ

Show that n * (n+1)^3 * ( n+2 ) is divisible by 24

Show that n * (n+1)^3 * ( n+2 ) is divisible by 24

Additive Function is an odd function

Additive Function is an odd function

Summation #8

Summation #8

Divergent Summation / Ramanujan Summation

Divergent Summation / Ramanujan Summation

OEIS A003459 , A004023 , A258706 ( Permutable Primes / Absolute Primes )

OEIS A003459 , A004023 , A258706 ( Permutable Primes / Absolute Primes )

Interesting Numbers

Interesting Numbers

Inequality Problem

Inequality Problem

OEIS : A003226 ( Automorphic Numbers )

OEIS : A003226 ( Automorphic Numbers )

Infinite Nested Radical Towers

Infinite Nested Radical Towers

Integration #17

Integration #17

Maths - Series Summation

Maths - Series Summation

Sum of Tangent Series

Sum of Tangent Series

Zeta ( - 1/2 )

Zeta ( - 1/2 )

Limit of Harmonic Numbers

Limit of Harmonic Numbers

Divergent Sums of Sine and Cosine

Divergent Sums of Sine and Cosine

Summation #7 ( using Logarithmic Differentiation )

Summation #7 ( using Logarithmic Differentiation )

Summation #6 - Divergent Summation of Arithmetic Progression

Summation #6 - Divergent Summation of Arithmetic Progression

Summation #6

Summation #6

Ramanujan's Formulas #8

Ramanujan's Formulas #8

Integration #16

Integration #16

Integration #3---Reuploaded

Integration #3---Reuploaded

Integration #15

Integration #15

Summation #5 : Summation through Integration #1

Summation #5 : Summation through Integration #1

Integration #14

Integration #14

Differentiation #6

Differentiation #6

Summation #4

Summation #4

Integration #13

Integration #13

Sequences and Series #1

Sequences and Series #1

Advanced Valentine's Day 2020

Advanced Valentine's Day 2020

Differential Equation #1

Differential Equation #1

Fibonacci #4

Fibonacci #4

Fibonacci #3

Fibonacci #3

Fibonacci #2

Fibonacci #2

Fibonacci #1 - Divergent sum of Fibonacci Numbers

Fibonacci #1 - Divergent sum of Fibonacci Numbers

Integration #12

Integration #12

Integration #11

Integration #11

Problems #8

Problems #8

Deriving Ramanujan's Formulas #7

Deriving Ramanujan's Formulas #7

Differentiation #5

Differentiation #5

Subtraction has no identity element

Subtraction has no identity element

Problems #7

Problems #7

OEIS - Prove that sequence 49 , 4489 , 444889 ,...form perfect squares ( A109344)

OEIS - Prove that sequence 49 , 4489 , 444889 ,...form perfect squares ( A109344)

Limits #1

Limits #1

Problems #6

Problems #6

1=0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

1=0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

Product #1

Product #1

√2+√3 is Algebraic Number

√2+√3 is Algebraic Number

25 can be expressed as sum of 4-11 non-zero squares

25 can be expressed as sum of 4-11 non-zero squares

Summation #3

Summation #3

x^1/x=y^1/y

x^1/x=y^1/y

Problems #5

Problems #5

Deriving Ramanujan's Formulas #6

Deriving Ramanujan's Formulas #6

Integration #10

Integration #10

Problem #4

Problem #4

Summation #2

Summation #2

Problems #3

Problems #3

Summation #1

Summation #1

Sum of Harmonic Numbers #2

Sum of Harmonic Numbers #2

Sum of Harmonic Numbers #1

Sum of Harmonic Numbers #1

Integration #9

Integration #9

Problems #2

Problems #2

Problems #1

Problems #1

Differentiation #4 Logarithmic Differentiation

Differentiation #4 Logarithmic Differentiation

Differentiation #3 Taylor's Series

Differentiation #3 Taylor's Series

Integration #8

Integration #8

Deriving Ramanujan's Formulas #5 + Integration #7

Deriving Ramanujan's Formulas #5 + Integration #7

Differentiation #2

Differentiation #2

Differentiation #1

Differentiation #1

Integration #6

Integration #6

Functional Equation #1

Functional Equation #1

Integration #5

Integration #5

Basel's Problem 4th Derivation

Basel's Problem 4th Derivation

Integration #4

Integration #4

Basel's Problem 3rd Derivation using Parseval's identity

Basel's Problem 3rd Derivation using Parseval's identity

Modular Arithmetic #2

Modular Arithmetic #2

Modular Arithmetic #1

Modular Arithmetic #1

Deriving Ramanujan's formulas #4

Deriving Ramanujan's formulas #4

Happy New Year 2019

Happy New Year 2019

Deriving sum of Binomial Sine and cosine series

Deriving sum of Binomial Sine and cosine series

Deriving Euler-Macheroni constant identity

Deriving Euler-Macheroni constant identity

Deriving Trigonometric identities

Deriving Trigonometric identities

Deriving Ramanujan's formulas #3

Deriving Ramanujan's formulas #3

Integration #2

Integration #2

Binomial identity #2

Binomial identity #2

Showing that prime gaps get infinitely large

Showing that prime gaps get infinitely large

Proving that no of primes is infinite

Proving that no of primes is infinite

Arithmetic Geometric Progression

Arithmetic Geometric Progression

Denesting radicals

Denesting radicals

Deriving Ramanujan's formulas #2

Deriving Ramanujan's formulas #2

Basel problem 2nd derivation

Basel problem 2nd derivation

Basel problem

Basel problem

Area of regular n sided polygon

Area of regular n sided polygon

Deriving Ramanujan's formulas #1

Deriving Ramanujan's formulas #1

Integration #1 Sophomore's Dream

Integration #1 Sophomore's Dream

Deriving binomial identity

Deriving binomial identity

Deriving vandermonde's identity

Deriving vandermonde's identity

Deriving recurrence relationship between sums of powers of roots of quadratic equation

Deriving recurrence relationship between sums of powers of roots of quadratic equation

$Proving equality between nested radical and continued fractions$

Proving equality between nested radical and continued fractions

Deriving sum of A.P binomial coefficients

Deriving sum of A.P binomial coefficients

Deriving sum of binomial coefficients

Deriving sum of binomial coefficients

Deriving sum of permutations

Deriving sum of permutations

Deriving sum of products of A.P taken 'k' at a time

Deriving sum of products of A.P taken 'k' at a time

Deriving roots of quadratic equation

Deriving roots of quadratic equation

Deriving geometric progression formula

Deriving geometric progression formula

Deriving arithmetic progression formula

Deriving arithmetic progression formula