Math Section Articles

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All articles from the Math Section can be found here.

Math Section
We provide a mathematical proof for the friendship paradox, give examples for possible applications, and introduce ideas of graph theory. Definition Of Friendship, Leonhard Euler, Types Of Graphs, Positive Numbers, Discrete Mathematics, Precalculus, Paradox

Graph Theory Introduction

Learn about the most fundamental Graph Theory definitions and the most interesting applications of Graph Theory in everyday life.

We cover the four color theorem controversy, discuss the proof of the four color theorem and explain computer-assisted proofs in mathematics. Used Computers, Main Idea, Social Media Channels, Yet To Come, Mathematics, Maps, Concept, Colors

Maps Can Always Be Colored With Only Four Colors

Maps can always be colored with only four colors in such a way that no two adjacent regions of the map share the same color. This is the Four Color Theorem, a highly controversial mathematical theorem that was proved using computer-assistance. A first in mathematics. We delve into the controversy, explain the proof concept, and present ways to make maps that are still not 4-colorable.

Mathematics is involved in the process of handing out speeding tickets. Speeding tickets issued by the police are a real-life application of the mean value theorem. In this article, we explain the mathematics behind the example.

Mean Value Theorem & Speeding Tickets

Speeding tickets issued by the police are a real-life application of the mean value theorem. In this article, we explain the mathematics behind the example.

We explain the basic idea of the Simplex Algorithm, present linear programming, and discuss the underlying geometric ideas used to solve LP-problems. Linear Programming, Main Idea, Lp, Math, Ideas, Mathematics, Math Resources

Article on the Simplex Algorithm

We explain the basic idea of the Simplex Algorithm, present linear programming, and discuss the underlying geometric ideas used to solve LP-problems.

Scenic Photography Tips. Understanding picture taking is not as complicated as you may believe that it is since you can easily utilize photography tips designed to guide you throughout the process. Landscape Photography Tips, Scenic Photography, Aerial Photography, Landscape Photos, Nature Photography, Digital Photography, Better Photography, Photography Ideas, Portrait Photography

Coastline Paradox and Fractals

How long is the coast of Britain? This question was of utmost importance in the process of creation of the field of fractal geometry. We explain the coastline paradox, fractal geometry and dimension, and how we use fractal geometry to measure coastlines. #Fractals #Geometry #Coastlines #Fry #Lewis #Richardson #Dimension

We approximate pi using a Monte-Carlo method in Matlab, explain the code, provide the program for you to try for yourself, and present an error analysis. Value Of Pi, Monte Carlo Method, Number Generator, Literature, Coding, The Unit, Letters, Literatura

Approximate Pi Using a Monte-Carlo Method in Matlab

We approximate pi using a Monte-Carlo method in Matlab, explain the code, provide the program for you to try for yourself, and present an error analysis. #Pi #Matlab #Tutorial

Part of building a MLM business is creating the perfect team. You can't work alone in network marketing, you'll have to create a perfect team. Read how to. Inbound Marketing, Direct Marketing, Marketing Digital, Social Media Marketing, Marketing Technology, Marketing Process, Viral Marketing, Marketing Automation, Marketing Plan

Friendship Paradox

Your friends are on average more popular than you. That fact is the Friendship Paradox. We give a mathematical proof for this statement, explain the relevant graph-theoretic terms, and present an example of an application of the Friendship Paradox in real life, the early detection of flu outbreaks. #Graph #Theory #Friendship #Paradox

5 Sensitive Tips AND Tricks: Pulmonary Hypertension Medical blood pressure poster people.Hypertension Symptoms Watches low sodium recipes blood pressure benefits of. Blood Pressure Remedies, Drugs, Health Care, News Health, Health Articles, Health Diet, Mental Health, The Cure, Chronic Illness

Game Theory and Doping

A game-theoretic discussion of doping. We discuss possible methods for solving the doping dilemma, introduce the Nash equilibrium, and establish the mathematical concept of doping games.

Here you get all information about happy relationship. Our expert provide you some tips to keep your relationship happy. How to strong your relationship with your partner.

How to Optimize Your Love Life

In this article, you can learn about how you can apply the secretary problem, optimal stopping theory, and probability theory to dating in order to optimize your love life. #Love #Life #Marriage #Optimization #Stopping #Theory #Secretary #Problem #Probability

We present an example of a problem from theoretic computer science and epistemic logic, the Byzantine general problem. Natural Number, Modern Tools, Point Of View, Byzantine, Computer Science, Two By Two, Math, Mathematics

The Byzantine General Problem

We present an example of a problem from theoretic computer science and epistemic logic, the Byzantine general problem.

This article builds upon the things we know about the Friendship Paradox and takes a look at the complement of a social network graph. It turns out, that you are more popular than people you don't know, on average at least. Thought Experiment, Precalculus, Confidence Boosters, Trigonometry, Paradox, We The People, Theory, At Least, Friendship

Inverse Friendship Paradox

This article serves as a follow-up to the article titled Friendship Paradox. We consider the complement graph which creates the Inverse Friendship Paradox.

This is an article about the seven bridges of Königsberg problem that Leonhard Euler stumbled upon. We discuss Euler walks, Euler paths, Graph Theory, and how mathematicians stumble on new areas of mathematics. Leonhard Euler, Number Theory, Precalculus, Mathematicians, Trigonometry, Algebra, Maths

Account Suspended

Leonhard Euler created graph theory by walking across the seven bridges of Königsberg. We follow Euler's path and discuss this directed graph problem.

It took 3 million soldiers, tanks, artillery pieces, and aircraft… “Operation Barbarossa” was the code name for Nazi Germany’s invasion of the Soviet Union in It was the lar. Combat Boxe, United Nations Security Council, Operation Barbarossa, No Mans Land, Military Operations, Military Army, Military Vehicles, World War, Pakistan

German Tank Problem

We explain the German Tank Problem that the Allies faced in World War 2, derive a solution by analyzing serial numbers, and provide insight with an example. #Probability #Theory #World #War #2 #German #Tank #Problem #Allies

We prove by contradiction that there are infinitely many prime numbers. This fact was already known to Euclid and our proof is based on his. This proof goes back to Euclid. Square Root Of 2, Natural Number, Prime Numbers, Precalculus, Trigonometry, Infinite, Definitions, Facts

We prove by contradiction that there are infinitely many prime numbers. This fact was already known to Euclid and our proof is based on his.

In this article, we discuss optimal routing problems, Dijkstra's algorithm, and pathfinding. We ultimately present the general concepts involved in the process of finding the shortest path between two locations (in a graph).

How Google Maps Calculates The Shortest Route

We introduce the shortest path algorithm by Dijkstra, pathfinding, and ultimately explain how Google Maps finds the shortest route from point A to point B.