What is Domain, Codomain, Object, Image and Range in relation ?

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<span style="font-family: Verdana,sans-serif;">Let we use the same example as previous post. Type of relation for above diagram is<b> many-to-one relation</b></span>.<br />
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<span style="font-family: Verdana,sans-serif;">Set<b> 'Student Name' </b>is called the <b>domain/object</b> of the relation</span><br />
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<span style="font-family: Verdana,sans-serif;">All elements <b>( Steven, Bruce, Edward, Sally, May )</b> in Set A is called <b>object</b></span><br />
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<span style="font-family: Verdana,sans-serif;">Set <b>'Shoe Size'</b> is called <b>codomain</b> of the relation</span><br />
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<span style="font-family: Verdana,sans-serif;">Any element in set '<b>Shoe Size</b>' that has been <b>mapped</b> was called <b>image </b>for the<b> domain</b>. '<b>6</b>'<b> was not an image</b> for above relation because <b>no domain</b> mapped to '6'</span><span style="font-family: Verdana,sans-serif;"><b> </b></span><br />
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<span style="font-family: Verdana,sans-serif;"><b>Range </b>is any output produce from the function, from a given codomain </span><br />
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<span style="font-family: Verdana,sans-serif;">The<b> Range</b> is a <b>subset</b> of the <b>Codomain.</b></span><br />
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><b><span style="color: blue;">Next topic >>>></span></b> </span><span style="font-size: small;"><a href="http://cikgubestarionline.blogspot.com/2013/11/function-in-relation.html"><b>Function in Relation</b></a></span></span><br />
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<span style="font-size: x-small;"><span style="font-family: Verdana,sans-serif;">Pls report in found any error in this post </span></span>

Let we use the same example as previous post. Type of relation for above diagram is many-to-one relation . Set 'Student Name...

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Unknown Labels: fungsi 3:04 AM 0 comments

What is Relation

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<span style="font-size: small;"><span style="font-family: Verdana,sans-serif;">Consider<b> A</b> and <b>B</b> is a set,</span></span><br />
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<span style="font-size: small;"><span style="font-family: Verdana,sans-serif;">If the elements/members of a<b> set</b> <b>A are mapped</b> to the elements/members of a <b>set B</b>, then a <b>relation</b> exist between sets A and B</span></span><br />
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<span style="font-family: Verdana,sans-serif;">There are <b>4 types of relation</b>:</span><br />
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<li><span style="font-family: Verdana,sans-serif;">One-to-One</span></li>
<li><span style="font-family: Verdana,sans-serif;">Many-to-One</span></li>
<li><span style="font-family: Verdana,sans-serif;">One-to-Many</span></li>
<li><span style="font-family: Verdana,sans-serif;">Many-to-Many </span></li>
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<span style="font-size: small;"><span style="font-family: Verdana,sans-serif;"><b>Type of relation</b> between <b>Set A</b> and <b>Set B</b> is relation '<b>One-to-One</b>' </span></span><br />
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<span style="font-family: Verdana,sans-serif;">set A is 'name' of a month and set B is 'sequence' of a month</span><br />
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<span style="font-family: Verdana,sans-serif;">For graph <b>y = x</b>, the relation is '<b>One-to-One</b>' relation</span></div>
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<span style="font-family: Verdana,sans-serif;">A survey was conducted in a class to identify size of shoe of each student. Below is the result</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9J8Ofv1eW4EKKdeMTzomF6DQ-0t978nZ-X9UJ6MaqHoD6xbJfQVVzsscvCIDEfZfpayOuHP10ZyFDFvhzP0asfThCbhyphenhyphen4HjJqmmRpUULEoIrmS7p5xoenuw-vmgbT1NLsX-SZj1SxvV6d/s1600/relation+and+function+4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9J8Ofv1eW4EKKdeMTzomF6DQ-0t978nZ-X9UJ6MaqHoD6xbJfQVVzsscvCIDEfZfpayOuHP10ZyFDFvhzP0asfThCbhyphenhyphen4HjJqmmRpUULEoIrmS7p5xoenuw-vmgbT1NLsX-SZj1SxvV6d/s1600/relation+and+function+4.jpg" /></a></div>
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<span style="font-family: Verdana,sans-serif;">if we mapped the table using <b>Venn diagram</b>, we can see that type of relation is <b>'Many-to-One'</b></span></div>
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<span style="font-family: Verdana,sans-serif;">A teacher in a class have performed an inspection for all stationary case in her class. Below is stationary found inside the case for each student using Venn diagram.</span></div>
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<span style="font-family: Verdana,sans-serif;">Type of relation for below <b>Venn diagram</b> is <b>'One-to-Many'</b></span></div>
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<span style="font-family: Verdana,sans-serif;">The last type of relation is <b>many-to-many</b>. </span><span style="font-family: Verdana,sans-serif;"><b>Many-to-many</b> means that <b>multiple inputs map onto the same output</b>, and <b>inputs have multiple outputs.</b> </span></div>
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<span style="font-family: Verdana,sans-serif;"><b><span style="color: blue;">Next topic >>>></span></b></span>  <span style="font-size: large;"><span><a href="http://cikgubestarionline.blogspot.com/2013/11/what-is-relation.html">What is Relation</a></span></span></div>
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Consider A and B is a set, If the elements/members of a set A are mapped to the elements/members of a set B , then a relation exis...

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Unknown Labels: fungsi 2:09 AM 0 comments

Introduction to function

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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;">A <b>set </b>is a <b>collection </b>of things, elements, quantities, numbers <b>that share common </b></span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;"><b>characteristics and all
the members was unique</b></span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="color: black; line-height: 107%;">Set notation is a definite method of
describing that things belong in a set and </span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="color: black; line-height: 107%;">that don't.</span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="background-color: white;"><span style="font-size: small;"><b><span style="line-height: 107%;">Notation: {….}, <span style="background-attachment: scroll; background-clip: border-box; background-image: none; background-origin: padding-box; background-position: 0% 0%; background-repeat: repeat; background-size: auto auto;">Venn Diagram</span> and <span style="background-attachment: scroll; background-clip: border-box; background-image: none; background-origin: padding-box; background-position: 0% 0%; background-repeat: repeat; background-size: auto auto;">Common Properties Method</span></span></b></span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;">Examples : A
set of odd numbers { 1,3,5,7,9,11,13,15,17,19,21,23,25...}</span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;">Can we put ‘2’ inside the
collection? <b>No</b>, because ‘2’ is not odd number collection</span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;">                      </span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;"><span style="line-height: 107%;">Examples : </span>A set of even numbers {0,
2, 4, 6, 8, 10, 12, 14, 16...}</span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;">Can we put ‘1’ inside the
collection? <b>No</b>, because ‘1’ is not even number collection</span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;"><span style="line-height: 107%;">Examples : </span>A set or
collection of rainbow colors { red, orange, yellow, green, blue, indigo,violet
}</span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;">Can black
color become an <b>element</b> of the set? </span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;"><b>No</b>, because black is not element for rainbow color. Only the 7 colors can
become <b>members</b> of the set.</span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;"><span style="line-height: 107%;">So, each
members of collection have common characteristic and was unique.</span></span></span></div>
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;">Any question? Any other example?</span></span><br />
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<span style="font-family: Verdana,sans-serif;"><span style="font-size: small;">next <b><span style="color: lime;"><a href="http://cikgubestarionline.blogspot.com/2013/11/what-is-relation.html">WHAT IS RELATION</a></span></b></span></span></div>
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A set is a collection of things, elements, quantities, numbers that share common characteristics and all the members...

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Unknown Labels: fungsi 8:26 PM 0 comments