Mathegoras

$How many possible passwords with six to eight character long , each character is a letter or digit and each password must at least contains a digit ?$

How many possible passwords with six to eight character long , each character is a letter or digit and each password must at least contains a digit ?

$Integration of x e^2x /(1+2x)^2$

Integration of x e^2x /(1+2x)^2

$How To Integrate sqrt[-x^2+2x+5] by Trigonometric Substitution$

How To Integrate sqrt[-x^2+2x+5] by Trigonometric Substitution

$How To Integrate sqrt[x(4-x)] by Trigonometric Substitution$

How To Integrate sqrt[x(4-x)] by Trigonometric Substitution

$How To Integrate sqrt[x^2-25]/x^2 by Trigonometric Substitution$

How To Integrate sqrt[x^2-25]/x^2 by Trigonometric Substitution

$How To Integrate sqrt[9-x^2]/x^2 by Trigonometric Substitution$

How To Integrate sqrt[9-x^2]/x^2 by Trigonometric Substitution

$How to Integrate x^3/sqrt[(4x^2+9)^3] by Trigonometric Substitution$

How to Integrate x^3/sqrt[(4x^2+9)^3] by Trigonometric Substitution

$How To Integrate 1/sqrt(x) + x^(1/3)$

How To Integrate 1/sqrt(x) + x^(1/3)

$How to Integrate 1/x+x sqrt(x)$

How to Integrate 1/x+x sqrt(x)

$How To Integrate 1+sin x /1+cos x$

How To Integrate 1+sin x /1+cos x

$How To Integrate sqrt(1-x/1+x)$

How To Integrate sqrt(1-x/1+x)

$How To Integrate 1/1-cos x$

How To Integrate 1/1-cos x

$How To integrate x e^3x$

How To integrate x e^3x

$How To Integrate Ln x/x^2$

How To Integrate Ln x/x^2

$How to Integrate sqrt(cot x)$

How to Integrate sqrt(cot x)

$How to Integrate sqrt(tan x)$

How to Integrate sqrt(tan x)

$How to integrate cos ln(x)$

How to integrate cos ln(x)

$How to integrate 1/( sin x + cos x)^2$

How to integrate 1/( sin x + cos x)^2

$How to integrate sin ln(x)$

How to integrate sin ln(x)

$How to integrate tan^-1(x)$

How to integrate tan^-1(x)

$How to integrate sqrt(1+x^(1/3))$

How to integrate sqrt(1+x^(1/3))

$How to integrate sin sqrt(x)$

How to integrate sin sqrt(x)

$How to integrate (1+sqrt(x))^4$

How to integrate (1+sqrt(x))^4

$How to integrate tan^2(x) sec^4(x)$

How to integrate tan^2(x) sec^4(x)

$How to integrate x cos 5x$

How to integrate x cos 5x

$Problem sheet at series of functions , Able's test , Dirichlet test and Weirstraus M-test$

Problem sheet at series of functions , Able's test , Dirichlet test and Weirstraus M-test

$Problem sheet at Pointwise convergent and Uniformly convergent$

Problem sheet at Pointwise convergent and Uniformly convergent

$How to Integrate sin^2(x)$

How to Integrate sin^2(x)

$A derivation trick that your teacher did not tell you !!!$

A derivation trick that your teacher did not tell you !!!

$How to Integrate Inverse sine sin^-1(x)$

How to Integrate Inverse sine sin^-1(x)

$The principle of Inclusion Exclusion$

The principle of Inclusion Exclusion

$Does number [1] a prime number ?$

Does number [1] a prime number ?

$How many primes are less than or equal to 100 by Inclusion Exclusion Rule And by using Mathematica$

How many primes are less than or equal to 100 by Inclusion Exclusion Rule And by using Mathematica

$How to integrate sec(x)$

How to integrate sec(x)

$The reduction formula for the Integration of cos^n(x)$

The reduction formula for the Integration of cos^n(x)

$The reduction formula for the Integration of sin^n(x)$

The reduction formula for the Integration of sin^n(x)

$How To Integrate sin^-1(x)$

How To Integrate sin^-1(x)

$How To Integrate sin^2(x)$

How To Integrate sin^2(x)

$How To Integrate sin^3(x)$

How To Integrate sin^3(x)

$How To Integrate sin^4(x)$

How To Integrate sin^4(x)

$How To Integrate sin^5(x)$

How To Integrate sin^5(x)

$How to Integrate 1/xsqrt[x^2+4] by Trigonometric Substitution$

How to Integrate 1/xsqrt[x^2+4] by Trigonometric Substitution

$How to integrate by trigonometric substittion$

How to integrate by trigonometric substittion

$How To Integrate sec^4(x)tan^3(x)$

How To Integrate sec^4(x)tan^3(x)

$How to integrate sin^2(x)cos^2(x)$

How to integrate sin^2(x)cos^2(x)

$How To Integrate sin^3(x)cos^2(x)$

How To Integrate sin^3(x)cos^2(x)

$The reduction formula for the integration of sec^n(x)$

The reduction formula for the integration of sec^n(x)

$How To Integrate tan^3(x)$

How To Integrate tan^3(x)

$How To Integrate sec^4(x)$

How To Integrate sec^4(x)

$How To Integrate sec^3(x)$

How To Integrate sec^3(x)

$All differentiation rules$

All differentiation rules

$All integral rules$

All integral rules

$Integration of (1+x)/(1+x^2)$

Integration of (1+x)/(1+x^2)

$Proof that A graph G is bipartite if and only if G does not contain an odd cycle .$

Proof that A graph G is bipartite if and only if G does not contain an odd cycle .

$Coin Flip Streaks from (Automate the Boring Stuff with Python Practical Programming for Total Beginners)$

Coin Flip Streaks from (Automate the Boring Stuff with Python Practical Programming for Total Beginners)

$22.png$

22.png

$11.png$

11.png

$Planar Graph$

Planar Graph

$The maximum number of edges in a planar graph.$

The maximum number of edges in a planar graph.

$Conway’s Game of Life in Python (Automate the Boring Stuff with Python Practical Programming for Total Beginners)$

Conway’s Game of Life in Python (Automate the Boring Stuff with Python Practical Programming for Total Beginners)

$Untitled.png$

Untitled.png

$( Euler's Formula ) Let G be a connected plane graph with n vertices, q edges and f faces. Then n-q+f=2.$

( Euler's Formula ) Let G be a connected plane graph with n vertices, q edges and f faces. Then n-q+f=2.

$0-3G3gcpq-6HA1F27F.png$

0-3G3gcpq-6HA1F27F.png

$Data Analytics And The Six Phases$

Data Analytics And The Six Phases

$1596797558-da-vs-ds-diagram.png$

1596797558-da-vs-ds-diagram.png

$Data-Science-vs.-Data-Analytics-vs.-Machine-Learning.jpg$

Data-Science-vs.-Data-Analytics-vs.-Machine-Learning.jpg

$Data Science vs Data Analysis vs Machine Learning vs Artificial Intelligence(AI)$

Data Science vs Data Analysis vs Machine Learning vs Artificial Intelligence(AI)

$Visualizations in spreadsheets and Tableau$

Visualizations in spreadsheets and Tableau

$The Effective Of Data Visualization$

The Effective Of Data Visualization

$SQL VS SPREADSHEETS$

SQL VS SPREADSHEETS

$IS TRADING WITH CRYPTOCURRENCY SAFE?$

IS TRADING WITH CRYPTOCURRENCY SAFE?

$What-determines-the-price-of-cryptocurrencies.jpg$

What-determines-the-price-of-cryptocurrencies.jpg

$What controls the price of the crypto currencies?$

What controls the price of the crypto currencies?

$WHAT IS CRYPTOCURRENCY? AND WHAT IS BLOCKCHAIN?$

WHAT IS CRYPTOCURRENCY? AND WHAT IS BLOCKCHAIN?

$Vector Fields$

Vector Fields

$Graph coloring$

Graph coloring

$Distance in Graphs.$

Distance in Graphs.

$Theorem: Any tree is a bipartite graph$

Theorem: Any tree is a bipartite graph

$Matching and Job assignments$

Matching and Job assignments

$Theorem: A graph G is bipartite if and only if G does not contain an odd cycle .$

Theorem: A graph G is bipartite if and only if G does not contain an odd cycle .

$Proof that A graph G is bipartite if and only if G does not contain an odd cycle .$

Proof that A graph G is bipartite if and only if G does not contain an odd cycle .

$Coin Flip Streaks from (Automate the Boring Stuff with Python Practical Programming for Total Beginners)$

Coin Flip Streaks from (Automate the Boring Stuff with Python Practical Programming for Total Beginners)

$Planar Graph$

Planar Graph

$The maximum number of edges in a planar graph.$

The maximum number of edges in a planar graph.

$Conway’s Game of Life in Python (Automate the Boring Stuff with Python Practical Programming for Total Beginners)$

Conway’s Game of Life in Python (Automate the Boring Stuff with Python Practical Programming for Total Beginners)

$( Euler's Formula ) Let G be a connected plane graph with n vertices, q edges and f faces. Then n-q+f=2.$

( Euler's Formula ) Let G be a connected plane graph with n vertices, q edges and f faces. Then n-q+f=2.

$Data Analytics And The Six Phases$

Data Analytics And The Six Phases

$Data Science vs Data Analysis vs Machine Learning vs Artificial Intelligence(AI)$

Data Science vs Data Analysis vs Machine Learning vs Artificial Intelligence(AI)

$Visualizations in spreadsheets and Tableau$

Visualizations in spreadsheets and Tableau

$The Effective Of Data Visualization$

The Effective Of Data Visualization

$SQL VS SPREADSHEETS$

SQL VS SPREADSHEETS

$IS TRADING WITH CRYPTOCURRENCY SAFE?$

IS TRADING WITH CRYPTOCURRENCY SAFE?

$What controls the price of the crypto currencies?$

What controls the price of the crypto currencies?

$WHAT IS CRYPTOCURRENCY? AND WHAT IS BLOCKCHAIN?$

WHAT IS CRYPTOCURRENCY? AND WHAT IS BLOCKCHAIN?

$Vector Fields$

Vector Fields

$Graph coloring$

Graph coloring

$Distance in Graphs.$

Distance in Graphs.

$Theorem: Any tree is a bipartite graph$

Theorem: Any tree is a bipartite graph

$Matching and Job assignments$

Matching and Job assignments

$Theorem: A graph G is bipartite if and only if G does not contain an odd cycle .$

Theorem: A graph G is bipartite if and only if G does not contain an odd cycle .

$quiz in functions and models$

quiz in functions and models

$Inverse Functions And Logarithms 3$

Inverse Functions And Logarithms 3

$Inverse Functions And Logarithms 2$

Inverse Functions And Logarithms 2

$Inverse Functions And Logarithms$

Inverse Functions And Logarithms

$new function from old function$

new function from old function

$what are functions and how to justify them?$

what are functions and how to justify them?

$Proof that any tree is a bipartite graph$

Proof that any tree is a bipartite graph

$Mersenne Numbers$

Mersenne Numbers

$Proof The quadratic congruence x^2+1≡0 (mod p), where p is an odd prime, has a solution if and only if p≡1 (mod 4).$

Proof The quadratic congruence x^2+1≡0 (mod p), where p is an odd prime, has a solution if and only if p≡1 (mod 4).

$(Lucas’ criterion) If the prime p divides Fm, where m ≥ 2, then p = k 2^(m+2)+1 for some positive integer k.$

(Lucas’ criterion) If the prime p divides Fm, where m ≥ 2, then p = k 2^(m+2)+1 for some positive integer k.

$Hippocrates of Chios$

Hippocrates of Chios

$أبقراط الخيوسي$

أبقراط الخيوسي

$Some special types of simple graphs$

Some special types of simple graphs

$أبو كامل شجاع بن أسلم ( الحاسب المصري )$

أبو كامل شجاع بن أسلم ( الحاسب المصري )

$طاليس (أبو الهندسة المستوية)$

طاليس (أبو الهندسة المستوية)

$Thales (Father of Planar Geometry)$

Thales (Father of Planar Geometry)

$Pythagoras and the Pythagoreans 2$

Pythagoras and the Pythagoreans 2

$فيثاغورس والفيثاغورثيين 2$

فيثاغورس والفيثاغورثيين 2

$فيثاغورس والفيثاغورثيين$

فيثاغورس والفيثاغورثيين

$Pythagoras and the Pythagoreans$

Pythagoras and the Pythagoreans

$تاريخ الجبر$

تاريخ الجبر

$Zeno's paradoxes (Achilles and the tortoise)$

Zeno's paradoxes (Achilles and the tortoise)

$أخيل والسلحفاة$

أخيل والسلحفاة

$زينون الأيلي$

زينون الأيلي

$Zeno of Elea$

Zeno of Elea

$The geometry of the ancient Egyptians$

The geometry of the ancient Egyptians

$الهندسة عند قدماء المصريين$

الهندسة عند قدماء المصريين

$العمليات الحسابية عند العرب$

العمليات الحسابية عند العرب

$Arab Arithmetic Operations$

Arab Arithmetic Operations

$الترقيم الأبجدي العربي$

الترقيم الأبجدي العربي

$Arabic Alphabet Numbering$

Arabic Alphabet Numbering

$Egyptian Numerals$

Egyptian Numerals

$Babylonian Numerals$

Babylonian Numerals

$Cauchy Integral Formula$

Cauchy Integral Formula

$Proof that every Eigenvalue of self adjoint operator is real$

Proof that every Eigenvalue of self adjoint operator is real

$One day a 40Kg mass has dropped and separated into four pieces.What is the mass of each of the four pieces?$

One day a 40Kg mass has dropped and separated into four pieces.What is the mass of each of the four pieces?

$No prime p of the form 4k+3 , (p≡3 (mod 4)) is a sum of two squares.$

No prime p of the form 4k+3 , (p≡3 (mod 4)) is a sum of two squares.

$Proof that No two Fermat numbers have a common divisor greater than 1$

Proof that No two Fermat numbers have a common divisor greater than 1

$Clausen Factorization For The sixth Fermat number$

Clausen Factorization For The sixth Fermat number

$Euler Factorization For The Fifth Fermat number$

Euler Factorization For The Fifth Fermat number

$Pierre de Fermat$

Pierre de Fermat

$The Tower Of Hanoi Puzzle$

The Tower Of Hanoi Puzzle

$Applications on Recurrence Relations$

Applications on Recurrence Relations

$Scientific Calculator$

Scientific Calculator

$Zero Story$

Zero Story

$Hamilton Paths And Hamilton Circuit$

Hamilton Paths And Hamilton Circuit

$Examples On Euler circuit and Euler Path$

Examples On Euler circuit and Euler Path

$Euler Circuit And Euler path$

Euler Circuit And Euler path

$Euler And Hamilton paths$

Euler And Hamilton paths

$Random Integer Number Generator$

Random Integer Number Generator

$Vector Space$

Vector Space

$Least Common Multiple Calculator$

Least Common Multiple Calculator

$Archimedes Of Syracuse$

Archimedes Of Syracuse

$Euler-Phi Calculator$

Euler-Phi Calculator

$GCD Calculater$

GCD Calculater

$Prime Number Detector$

Prime Number Detector

$Combinations Calculator (nCr)$

Combinations Calculator (nCr)

$Fermat Summation of Two Squares Calculator$

Fermat Summation of Two Squares Calculator

$Basic Algebraic Properties For Complex Numbers$

Basic Algebraic Properties For Complex Numbers

$Complex Numbers$

Complex Numbers

$Jerome Bruner's theory and its applications in the teaching of mathematics$

Jerome Bruner's theory and its applications in the teaching of mathematics

$Zoltan-Dienes theory and its applications in teaching mathematics$

Zoltan-Dienes theory and its applications in teaching mathematics

$Jean Piaget theory and its applications in the teaching of mathematics$

Jean Piaget theory and its applications in the teaching of mathematics

$Mathematical Structure$

Mathematical Structure

$The modern view of mathematics and its approaches$

The modern view of mathematics and its approaches

$Teaching Mathematics$

Teaching Mathematics

$نظرية زولتان دينز وتطبيقاتها في تدريس الرياضيات$

نظرية زولتان دينز وتطبيقاتها في تدريس الرياضيات

$نظرية جيروم برونر وتطبيقاتها في تدريس الرياضيات$

نظرية جيروم برونر وتطبيقاتها في تدريس الرياضيات

$نظرية جان بياجيه وتطبيقاتها في تدريس الرياضيات$

نظرية جان بياجيه وتطبيقاتها في تدريس الرياضيات

$البنية الرياضية$

البنية الرياضية

$النظرة الحديثة للرياضيات ومناهجها$

النظرة الحديثة للرياضيات ومناهجها

$تدريس الرياضيات$

تدريس الرياضيات

$Trigonometric Identities$

Trigonometric Identities

$The Reduction Formula for the integration of csc^n(x)$

The Reduction Formula for the integration of csc^n(x)

$Four-Colors Theorem$

Four-Colors Theorem

$Fundamental Theorem Of Arithmetic$

Fundamental Theorem Of Arithmetic

$Linear Congruence$

Linear Congruence

$Fermat's Little Theorem$

Fermat's Little Theorem

$Euler's Theorem$

Euler's Theorem

$Euler's Phi-Funtion and it's common Theorems$

Euler's Phi-Funtion and it's common Theorems

$The Euclidean Algorithm$

The Euclidean Algorithm

$Division Algorithms$

Division Algorithms

$Diophantine Equation$

Diophantine Equation

$The stability of the Equilibrium Point 0$

The stability of the Equilibrium Point 0

$Examples on the Generalized Permutations and Combinations$

Examples on the Generalized Permutations and Combinations

$Generalized Permutations and Combinations$

Generalized Permutations and Combinations

$The Generalized Pigeonhole Principle$

The Generalized Pigeonhole Principle

$Show that for every integer n , there is a multiple of n that has only 0's and 1's in its decimal expansion ?$

Show that for every integer n , there is a multiple of n that has only 0's and 1's in its decimal expansion ?

$The Pigeonhole Principle$

The Pigeonhole Principle

$How many bit strings of length eight either start with the bit 1 or end with the two bits 00 ?$

How many bit strings of length eight either start with the bit 1 or end with the two bits 00 ?

$How many possible passwords with six to eight character long , each character is a letter or digit and each password must at least contains a digit ?$

How many possible passwords with six to eight character long , each character is a letter or digit and each password must at least contains a digit ?

$Integration of x e^2x /(1+2x)^2$