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

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

$Slide 1$

Planar Graph

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The maximum number of edges in a planar graph.

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

$Slide 1$

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

$Slide 1$

Data Analytics And The Six Phases

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

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Visualizations in spreadsheets and Tableau

$Slide 1$

The Effective Of Data Visualization

$Slide 1$

SQL VS SPREADSHEETS

$Slide 1$

IS TRADING WITH CRYPTOCURRENCY SAFE?

$Slide 1$

What controls the price of the crypto currencies?

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WHAT IS CRYPTOCURRENCY? AND WHAT IS BLOCKCHAIN?

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Vector Fields

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Graph coloring

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Distance in Graphs.

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Theorem: Any tree is a bipartite graph

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Matching and Job assignments

$Slide 1$

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

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quiz in functions and models

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Inverse Functions And Logarithms 3

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Inverse Functions And Logarithms 2

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Inverse Functions And Logarithms

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new function from old function

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what are functions and how to justify them?

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Proof that any tree is a bipartite graph

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Mersenne Numbers

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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).

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

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Hippocrates of Chios

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أبقراط الخيوسي

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Some special types of simple graphs

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أبو كامل شجاع بن أسلم ( الحاسب المصري )

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طاليس (أبو الهندسة المستوية)

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Thales (Father of Planar Geometry)

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Pythagoras and the Pythagoreans 2

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فيثاغورس والفيثاغورثيين 2

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فيثاغورس والفيثاغورثيين

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Pythagoras and the Pythagoreans

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تاريخ الجبر

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Zeno's paradoxes (Achilles and the tortoise)

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أخيل والسلحفاة

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زينون الأيلي

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Zeno of Elea

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The geometry of the ancient Egyptians

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الهندسة عند قدماء المصريين

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العمليات الحسابية عند العرب

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Arab Arithmetic Operations

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الترقيم الأبجدي العربي

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Arabic Alphabet Numbering

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Egyptian Numerals

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Babylonian Numerals

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Cauchy Integral Formula

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Proof that every Eigenvalue of self adjoint operator is real

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

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

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

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Clausen Factorization For The sixth Fermat number

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Euler Factorization For The Fifth Fermat number

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Pierre de Fermat

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The Tower Of Hanoi Puzzle

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Applications on Recurrence Relations

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Scientific Calculator

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Zero Story

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Hamilton Paths And Hamilton Circuit

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Examples On Euler circuit and Euler Path

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Euler Circuit And Euler path

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Euler And Hamilton paths

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Random Integer Number Generator

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Vector Space

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Least Common Multiple Calculator

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Archimedes Of Syracuse

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Euler-Phi Calculator

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GCD Calculater

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Prime Number Detector

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Combinations Calculator (nCr)

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Fermat Summation of Two Squares Calculator

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Basic Algebraic Properties For Complex Numbers

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Complex Numbers

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

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Zoltan-Dienes theory and its applications in teaching mathematics

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Jean Piaget theory and its applications in the teaching of mathematics

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Mathematical Structure

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The modern view of mathematics and its approaches

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Teaching Mathematics

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نظرية زولتان دينز وتطبيقاتها في تدريس الرياضيات

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نظرية جيروم برونر وتطبيقاتها في تدريس الرياضيات

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نظرية جان بياجيه وتطبيقاتها في تدريس الرياضيات

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البنية الرياضية

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النظرة الحديثة للرياضيات ومناهجها

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تدريس الرياضيات

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Trigonometric Identities

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

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Four-Colors Theorem

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Fundamental Theorem Of Arithmetic

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Linear Congruence

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Fermat's Little Theorem

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Euler's Theorem

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

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The Euclidean Algorithm

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Division Algorithms

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Diophantine Equation

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The stability of the Equilibrium Point 0

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Examples on the Generalized Permutations and Combinations

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Generalized Permutations and Combinations

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The Generalized Pigeonhole Principle

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

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The Pigeonhole Principle

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

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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 ?

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

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

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

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

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

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

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

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

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

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

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How To Integrate 1/1-cos x

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How To integrate x e^3x

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How To Integrate Ln x/x^2

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How to Integrate sqrt(cot x)

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How to Integrate sqrt(tan x)

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How to integrate cos ln(x)

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

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How to integrate sin ln(x)

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How to integrate tan^-1(x)

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

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How to integrate sin sqrt(x)

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

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

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How to integrate x cos 5x

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

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Problem sheet at Pointwise convergent and Uniformly convergent

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How to Integrate sin^2(x)

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

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

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The principle of Inclusion Exclusion

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Does number [1] a prime number ?

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

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How to integrate sec(x)

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

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

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How To Integrate sin^-1(x)

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How To Integrate sin^2(x)

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How To Integrate sin^3(x)

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How To Integrate sin^4(x)

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How To Integrate sin^5(x)

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

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How to integrate by trigonometric substittion

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

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

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

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

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How To Integrate tan^3(x)

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How To Integrate sec^4(x)

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How To Integrate sec^3(x)

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All differentiation rules

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All integral rules

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

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

$Slide 1$

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

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22.png

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11.png

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Planar Graph

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The maximum number of edges in a planar graph.

$Slide 1$

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

$Slide 1$

Untitled.png

$Slide 1$

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

$Slide 1$

0-3G3gcpq-6HA1F27F.png

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Data Analytics And The Six Phases

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1596797558-da-vs-ds-diagram.png

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

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

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Visualizations in spreadsheets and Tableau

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The Effective Of Data Visualization

$Slide 1$

SQL VS SPREADSHEETS

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IS TRADING WITH CRYPTOCURRENCY SAFE?

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

$Slide 1$

What controls the price of the crypto currencies?

$Slide 1$

WHAT IS CRYPTOCURRENCY? AND WHAT IS BLOCKCHAIN?

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Vector Fields

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Graph coloring

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Distance in Graphs.

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Theorem: Any tree is a bipartite graph

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Matching and Job assignments

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

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

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Planar Graph

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

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Matching and Job assignments

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Theorem: Any tree is a bipartite graph

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

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)

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

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