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Author: Taylor Emma

A senior editor for The Mars that left the company to join the team of SenseCentral as a news editor and content creator. An artist by nature who enjoys video games, guitars, action figures, cooking, painting, drawing and good music.

Internet Programming

Client-server paradigm

The Client-Server paradigm is the most prevalent model for distributed computing protocols. It is the basis of all…

August 13, 2021 · Taylor Emma
Internet Programming

Web Essentials

Server: The software that distributes the information and the machine where the information and software reside is called…

August 13, 2021 · Taylor Emma
Graph Theory & Applications

Network flow

August 13, 2021 · Taylor Emma
Graph Theory & Applications

Exponential Generating Functions

Example .1 Find an exponential generating function for the number of permutations with repetition of length nn of the set {a,b,c}{a,b,c}, in…

August 13, 2021 · Taylor Emma
Graph Theory & Applications

Pólya–Redfield Counting

We have talked about the number of ways to properly color a graph with kk colors, given by the chromatic…

August 13, 2021 · Taylor Emma
Graph Theory & Applications

Binomial theorem

Binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as…

August 13, 2021 · Taylor Emma
Graph Theory & Applications

Pascal’s Identity

Pascal’s identity, first derived by Blaise Pascal in 17th century, states that the number of ways to choose k…

August 13, 2021 · Taylor Emma
Graph Theory & Applications

Permutations

A permutation is an arrangement of some elements in which order matters. In other words a Permutation is an ordered…

August 13, 2021 · Taylor Emma
Graph Theory & Applications

Spanning Tree of a Graph

Spanning tree of a graph is a subgraph of it which forms a tree and contains (or spans) all…

August 13, 2021 · Taylor Emma
Graph Theory & Applications

The Inclusion-Exclusion Principle

From the First Principle of Counting we have arrived at the commutativity of addition, which was expressed in convenient mathematical notations as a + b = b + a. The…

August 13, 2021 · Taylor Emma