Posts Tagged ‘elements’

Venn Diagrams

Tuesday, September 29th, 2009

The Use of Venn Diagrams in Set Theory

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Description

A detailed tutorial on using Venn diagrams in set theory. Step by step tutorial including several examples of how to use a Venn diagram in set theory for reference.

Overview

A Venn diagram is something we’ve all heard about before – probably in an english class. Venn diagrams are used as a visual representation for sets of different items, called elements. But it stands to reason that if you can use a venn diagram for sets, you can use them for set theory – a branch of mathematics that uses different sets of numbers. For set theory, they are used to display intersection and unions, and you can fill them out just like you would with a normal Venn diagram.

Pascal’s Triangle

Tuesday, September 29th, 2009

An Overview of Pascal’s Triangle

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Description

 

A detailed tutorial of how to use Pascal’s Triangle. Step by step tutorial including several examples of how to use Pascal’s Triangle for reference. Knowledge of Pascal’s Triangle will prove useful in several branches of mathematics.

 

Overview

 

Pascal’s Triangle is a useful device in mathematics that can reveal the sums of almost any number. There are an infinite number of rows but it can be shortened to any number. The triangle traditionally starts at Row 0 with one number – 1. Then Row 1 has two numbers – 1 and 1. And Row 2 has three numbers – 1, 2, and 1. The number 1 lines the side of the triangle. Every other number is the sum of the two numbers found directly above it. Pascal’s triangle is constructed by using geometric shapes.

Set Theory

Thursday, September 24th, 2009

Set Theory Explained

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Description

 

 

A detailed tutorial of set theory. Step by step tutorial including several examples of set theory for reference. Knowledge of set theory is required for most upper level math classes.

 

 

 

Overview

 

 

Set theory is the practice of sets and subsets. A set is a group of elements – numbers, items, anything. A set is expressed as A = {1, 2, 3, 4}, with A being the set, and anything inside the brackets being part of the set, being elements. A subset is also a set, but one that is the same as or contains part of another set. Each set has at least two subsets, because a subset can also be the exact same set, and an empty set. An empty set is expressed as a O with a line drawn through it, and it is a set that has no elements in it.

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