Recent posts in Engineering Mathematics

Recent posts in Engineering Mathematics

1

​​​​​​1. Overview

In this article, we’ll discuss the geometric probability distribution and its properties. We will prove each property mathematically and understand its significance. This article assumes basic knowledge of discrete mathematics and algebra for proofs.

2. Basic Definitions

We begin with a few basic definitions that will set the stage for things to come.

Sample space: A collection or set of discrete points $\Omega$ that is countable. A set of values $S$ is said to be countable when there exists a bijection $f: S → A$ where $A$ is a known...

pritishc posted in Probability Jun 17 edited Jun 17 by pritishc
438 views
2

Given an infinite sequence of numbers $<a_0, a_1, a_2, a_3, . . .>$, the (ordinary) generating function for the sequence is defined to be the power series:

$A(x) = \sum_{i=0}^{\infty}a_ix^i =  a_0 + a_1x + a_2x^2 + a_3x^3 + . . . $ 

 

Consider the binomial expansion of $(1-x)^n$, where $n\in \mathbb{Z}^+$

$(1-x)^n = \sum_{i=0}^{n}\binom{n}{i}(-x)^i$

                  $= 1 - nx + \frac{n(n-1)}{2!}x^2 – \frac{n(n-1)(n-2)}{3!}x^3 . . . +(-1)^k\frac{n(n-1)(n-2)...(n-k+1)}{k!}x^k . . . + (-1)^nx^n $

 

Note...

d3ba posted in Discrete Mathematics Mar 27, 2020 edited Jun 22, 2020 by d3ba
by d3ba
1,437 views
5

Hey there,

I’ve found an interactive website to revise some mathematics concepts.(For Graph Theory and Probability)

Here ‘s the link: https://mathigon.org/course/graphs-and-networks/introduction

HOPE IT HELPS :)

Harshada posted in Discrete Mathematics Jan 9, 2019
883 views
6

Information Collected from multiple sources(primarily from Wikipedia, Wolfram Alpha and Narsingh Deo Textbook)

TYPE

Vertex

Edge

Degree

Cycle

Component

Chromatic

Number

Matching, covering and Independent Set

Other

Simple

Undirected

 

If there is exactly 2 vertices of odd deg then there is a path joins these 2 vertices

Every cut set of a connected...

Balaji Jegan posted in Discrete Mathematics Oct 24, 2018 edited Sep 4, 2020 by Balaji Jegan
4,168 views
7

 

  Day Date Contents Slides Assignments  1  Sep 14 Introduction to probability- simple problems- Rolling a die n times and find the probability of getting at least one six, 
probability of forming two men and two women out of four people  Lecture Notes - Best one   2 Sep 17 Class Test- 5 Questions: Time-15 minutes
Problems
1. 3 men and 3 women are to be seated (i) In a row of chairs...
Manoja Rajalakshmi A posted in Probability Sep 27, 2018
1,004 views
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SET THEORY AND ALGEBRA Day Date Contents Slides Assignments 1 July 2 No discussion   Assignment 1 2 July 3 Introduction to Sets, Relations, Functions     3 July 4 Equivalence Relations, Types of Functions   Assignment 2   July 5 No Discussion: Problem solving from...
Manoja Rajalakshmi A posted in Discrete Mathematics Sep 17, 2018 recategorized Sep 17, 2018 by Manoja Rajalakshmi A
637 views
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I am not able to solve previous years questions of GATE. I learnt the basics but getting struck in almost every question. Please suggest some resource for the same considering the time constraint.
Bad_Doctor posted in Probability Dec 11, 2017
2,745 views
10

I found this channel on YouTube which has short videos for Maths and Discrete Maths topics.

Watch the videos for topics you want to revise.

 

https://m.youtube.com/user/thetrevtutor

Amitesh Sharma posted in Discrete Mathematics Jan 7, 2017
1,896 views
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