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01 - Sets, Relations and Functions

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01 - Sets, Relations and Functions

01 - SETS, RELATIONS AND FUNCTIONS Page 2 ( Answers at the end of all questions ) ( 8 ) The domain of the function f ( x ) =

http://www.schoolnotes4u.com/Mathematics%20Objectives/01%20-%20Sets%2C%20Relations%20and%20Functions.pdf

Date added: February 1, 2012 - Views: 56

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Sets, Functions, Relations - Northwestern...

Sets, Functions, Relations 2.1. Set Theory 2.1.1. Sets. A set is a collection of objects, called elements of the set. A set can be represented by listing its elements ...

http://www.math.northwestern.edu/%7Emlerma/courses/cs310-05s/notes/dm-sets.pdf

Date added: February 17, 2012 - Views: 13

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Basic Concepts of Set Theory, Functions and ...

Basic Concepts of Set Theory. 1.1. Sets and elements Set theory is a basis of modern mathematics, ... then the relation F–1 is a function and one-to-one correspondence.

http://people.umass.edu/partee/NZ_2006/Set%20Theory%20Basics.pdf

Date added: November 14, 2011 - Views: 175

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SETS, RELATIONS AND FUNCTIONS - Learn Center |...

Sets, Relations and Functions 15 SETS, RELATIONS AND FUNCTIONS ... l define Cartesian product of two sets; l define relation, function and cite examples thereof;

http://bspuni.com/index.html/index.html/Ebook%20doc/11th%20and%2012th%20notes/11%20Commerce/Maths/Set%20Theory%20Basics,Function%20and%20Relation1.pdf

Date added: November 5, 2013 - Views: 1

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SETS, RELATIONS, AND FUNCTIONS - School of...

Sets Relations and functions Countability Examples Summary Sets and notations Common Universal Sets Subset and Power Set Cardinality Operations Sets I A set is a ...

http://www.computing.dcu.ie/~away/CA215/jie_w1.pdf

Date added: January 13, 2012 - Views: 9

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1 Day Sets, Relations and Functions - Arihant Book

Sets, Relations and Functions Day 1 Day 1Outlines Types of Set Power Set Operation on Sets Cartesian Product of Sets Relation Function or Mapping

http://www.arihantbooks.com/chapterdownloads/C144.pdf

Date added: March 6, 2014 - Views: 1

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Sets, Relations, and Functions - Kennesaw State...

Sets, Relations, and Functions S. F. Ellermeyer May 15, 2003 Abstract We give de finitions of the concepts of Set, Relation, and Function, andlookatsomeexamples.

http://math.kennesaw.edu/~sellerme/sfehtml/classes/math1111/setsrelationsfunctions.pdf

Date added: July 31, 2012 - Views: 1

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3. SETS, FUNCTIONS & RELATIONS - Macquarie...

47 3. SETS, FUNCTIONS & RELATIONS If I see the moon, then the moon sees me 'Cos seeing's symmetric as you can see. If I tell Aunt Maude and Maude tells the nation

http://web.science.mq.edu.au/~chris/langmach/CHAP03SetsFunctionsAndRelations.pdf

Date added: December 1, 2013 - Views: 1

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Binary relations and properties Relationship to ...

Binary relations establish a relationship between elements of two sets Definition: Let A and B be two sets. A binary relation from A to B is a subset of A ×B.

http://www.pitt.edu/~bonidie/cs441/relations.pdf

Date added: September 23, 2013 - Views: 1

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3.1 Functions relation Example - Statistics

3.1 Functions A relation is a set of ordered pairs (x, y). Example: The set {(1,a), (1, b), (2,b), (3,c), (3, a), (4,a)} is a relation A function is a relation (so ...

http://mathstat.fiu.edu/useful-information/math-resources/pre-calculus-algebra/chapter-3-notes.pdf

Date added: May 18, 2015 - Views: 1

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Relations and Functions - Rediff.com

Class XII: Math Chapter: Relations and Functions Concepts and Formulae Key Concepts 1. A relation R between two non empty sets A and B is a subset of their

http://im.rediff.com/getahead/2010/feb/19relations-functions-trig.pdf

Date added: January 30, 2012 - Views: 68

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Chapter 2 Sets, Relations and Functions - Springer

Sets, Relations and Functions Key Topics Sets Set Operations Russell’s Paradox ... A function is a relation but not every relation is a function. For example, the

http://www.springer.com/cda/content/document/cda_downloaddocument/9781447145332-c1.pdf?SGWID=0-0-45-1355802-p174596963

Date added: May 18, 2013 - Views: 4

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Sets, Functions, and Relations - Cambridge...

4 1 Sets, Functions, and Relations It is routine to check that both compositions ψφand φψare identity functions and that φ and ψ are Boolean morphisms.

http://assets.cambridge.org/97805218/83894/excerpt/9780521883894_excerpt.pdf

Date added: December 6, 2011 - Views: 5

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01 - SETS, RELATIONS AND FUNCTIONS Page 1...

01 - SETS, RELATIONS AND FUNCTIONS Page 2 ( Answers at the end of all questions ) ( 8 ) The domain of the function f ( x ) =

https://kv1mlibarchives.files.wordpress.com/2013/07/mathematics-set-relation-function-mcq.pdf

Date added: February 1, 2015 - Views: 1

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1 Set Theory and Functions

1.2 Operations on Sets 1. The union: Let A and B be two sets. Then, the union, denoted A [ B is the set of ... We say that G is the graph of a function if and only if

http://www.unc.edu/~normanp/890part1.pdf

Date added: January 1, 2012 - Views: 13

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Relations and Functions (Mathematics)

Relations A relation is a set of ordered pairs, ... y values if graphing the relation). Function A function is a special type of relation, whereby no x-value ...

http://www.nointrigue.com/docs/notes/maths/maths_relfn.pdf

Date added: October 19, 2011 - Views: 69

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Sets, Relations and Functions

De nition 2.1 (Binary Relation) A binary relation R on two sets A and B ... Functions are a special type of relation: De nition 2.6 (Function) ...

http://www.pacuit.org/media/courses/discretemath_1.pdf

Date added: May 25, 2015 - Views: 1

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Relations - University of Georgia

LECTURE NOTES ON RELATIONS AND FUNCTIONS PETE L. CLARK 1. Relations 1.1. The idea of a relation. Let X and Y be two sets. We would like to formalize

http://math.uga.edu/~pete/3200relationsfunctions.pdf

Date added: March 28, 2015 - Views: 1

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Introduction Relations - University of...

We have seen ways of graphically representing a function/relation between two (di erent) sets|speci cally a graph with arrows between nodes that are related.

http://cse.unl.edu/~choueiry/S06-235/files/Relations-HandoutNoNotes.pdf

Date added: February 12, 2014 - Views: 1

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Relations and functions. - Duke Mathematics...

Relations and functions. A relation is a set of ordered pairs. Let rbe a relation. ... a function is numerical if each ordered pair in it is an ordered pair of real ...

http://www.math.duke.edu/courses/mth103/funcs.pdf

Date added: December 18, 2011 - Views: 12

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Section 3.1 Relations and Functions

A relation is a correspondence between two sets A and B such that each element of set A ... B is called the range of the relation. Definition Function .

http://www.math.psu.edu/files/Section%203.1%20class%20notes_0.pdf

Date added: March 9, 2012 - Views: 6

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relation < :4, F1 ;, :2,3 ;, :0,5 ;, :2,7 ;, :3,9...

Definition: A function is a relation in which no two different ordered pairs have the same first coordinate.

http://dmc122011.delmar.edu/math/pjohnson/Webpage/collegealgebra/notes/2.3.pdf

Date added: February 18, 2013 - Views: 4

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1.4 Relations and Functions A relation is a...

1.4 Relations and Functions A relation is a correspondence between two sets. If x and y are two elements in these sets and if a relation exists between x and y, then x

http://web.cerritos.edu/dford/SitePages/Math_60_F08/Math_140/Math140Lecture3.pdf

Date added: March 11, 2014 - Views: 1

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Domain and Range Worksheet .pdf - Paulding County...

Identify the domain and range of each relation given below. Then determine if the relation represents a function.

http://schools.paulding.k12.ga.us/ischooldistrict/media/files/2489/Domain%20and%20Range%20Worksheet.pdf

Date added: April 3, 2013 - Views: 590

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Lecture # 1 ( Sets, Functions and equivalence ...

Binary Relation Let Abe a nonempty set. ... Is every rule between two sets a function (or well defined). False 7. Equivalence relation is a weak form of equality.

http://www.puremaths.info/wp-content/uploads/2013/02/LEC_1_AA1.pdf

Date added: July 25, 2014 - Views: 1

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This lecture will cover relations, functions, sets...

relation between these two sets. This relation shows the association between ... intersects the graph no more than once, then the relation is a function.

http://tdl.org/txlor-dspace/bitstream/handle/2249.3/1349/TAMU_BusMathI_LV00_01_ins.pdf

Date added: December 26, 2013 - Views: 1

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DELHIPUBLICSCHOOL,JAMMU Assignment Topics: Sets ...

DELHIPUBLICSCHOOL,JAMMU Assignment Topics: Sets Relation & Function, Trignometric Function , Mathematical Induction , Complex Number & Quadratic

http://www.studiestoday.com/sites/default/files/assignments/CBSE%20Class%20XI%20Trigonometry%20Assignment%205_0.pdf

Date added: March 28, 2015 - Views: 1

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LESSON 9.1 SETS, RELATIONS, AND FUNCTIONS

SETS, RELATIONS, AND FUNCTIONS HOMEWORK ASSIGNMENT # 63: PAGES 344-346: # 2 ... The set is a relation and a function. Every first element is paired with one

http://www.iroquoiscsd.org/cms/lib/NY19000365/Centricity/Domain/105/HW_063_LESSON_9.1.PDF

Date added: May 19, 2014 - Views: 1

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Lecture 3: Chapter 2. Relations and Functions

Ling 409, Partee lecture notes, Lecture 3 September 8, 2003 p.5 One useful class of functions are characteristic functions of sets. The characteristic function of a

http://people.umass.edu/partee/409/3RelationsFunctions.pdf

Date added: October 22, 2011 - Views: 31

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Binary Relations - U-System | University...

Binary Relations De nition: A binary relation between two sets X and Y is a ... X and Y are arbitrary sets and f : X !Y is a function from X to Y. (a) De ne G as ...

http://www.u.arizona.edu/~mwalker/econ519/Econ519LectureNotes/BinaryRelations.pdf

Date added: June 19, 2013 - Views: 1

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Discrete Mathematics: Lectures 6 and 7 Sets, ...

Sets, Relations, Functions and Counting Instructor: Arijit Bishnu Date: ... bijections are the only functions for which the ’converse relation’ is also a function.

http://www.isical.ac.in/~arijit/courses/autumn2009/discrete09/lec6-dm09.pdf

Date added: February 19, 2012 - Views: 11

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Relations and Functions - Texas Digital Library

Relations and Functions Relations Functions Sets of Ordered Pairs ... A function is a relation such that every domain

http://tdl.org/txlor-dspace/bitstream/handle/2249.3/1236/TAMU_BusMathI_LV00_01.pdf

Date added: September 11, 2013 - Views: 3

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Section 3.1: Functions Definitions relation ...

1 Section 3.1: Functions Definitions (pages 226 – 227): A relation is a correspondence between two sets. A function is a correspondence to a first set, called the ...

http://cstl-csm.semo.edu/lwovermann/ma134/MA%20134%20Chapter%203%20Notes,%20Young.pdf

Date added: February 1, 2015 - Views: 1

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Classical Analysis I 1 Sets, relations, functions

Classical Analysis I 1 Sets, relations, functions A set is considered to be a collection of objects. The objects of a set A are called elements of A.

http://www.math.psu.edu/wysocki/M403/Notes403_1.pdf

Date added: March 8, 2012 - Views: 4

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Students’ Development of The Relationship Between...

these two sets as Function, what kind of a relation should we construct from the domain set to the

http://www.ijesim.com/upload/dosya/akar_eng_students-development-of-the-relationship-between-the-cartesian-product-relation-and-the-definition-of-function_153a821d86331c.pdf

Date added: March 28, 2015 - Views: 1

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sets is the foundation of modern mathematics and...

Two sets A and B are said to be equal, ... B be non-empty sets. Then a function f is a subset of AB× , ... mathematically is by the concept of equivalence relation.

http://mathdb.org/notes_download/elementary/algebra/ae_A1.pdf

Date added: April 16, 2013 - Views: 9

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Functions and Their Graphs - Brazosport College

COLLEGE ALGEBRA Lesson: Functions and Their Graphs Objectives: 1. Determine whether a relation represents a function; 2. Evaluate a function for a given input;

http://www.brazosport.edu/faculty-staff/directory/CalinAgut/Documents/Lecture%20Notes%20ColAlg/Functions%20and%20Their%20Graphs.pdf

Date added: November 21, 2013 - Views: 1

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#2: Functions and Relations - University of...

Let S and T be sets. A relation on S and T is a subset of ... is a very specific kind of relation. functions as A function represents an input-output machine: ...

http://www.cis.upenn.edu/~byorgey/precalc/assign/02-functions.pdf

Date added: February 1, 2012 - Views: 11

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4 Functions functions relation De nition S T...

4 Functions Before studying functions we will rst quickly de ne a more general idea, namely the notion of a relation. A function turns out to be a special type of ...

http://personal.stevens.edu/~cwang3/MA134/4_Functions-x.pdf

Date added: April 18, 2014 - Views: 1

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Solutions of the exercises on Sets, Relations and ...

Sets, Relations and Functions Olena Gryn [email protected] November, 2006 ... Let R be an equivalence relation on A and a function R : A ! A. Then by the denition of a

http://itu.dk/people/olg/SMD/solutionSets.pdf

Date added: December 26, 2013 - Views: 1

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Relations: relation - SFP Online

We will not only see graphs, though, so we must be able to determine if a relation is a function by other means. For sets of ordered pairs or a table of values, we ...

http://www.sfponline.org/Uploads/2859/7-1%20Notes.pdf

Date added: February 1, 2015 - Views: 1

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Relation, Function, Domain & Range - Math...

Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity Activity Task #1) Write a relation that is not a function with at ...

http://www.mathwarehouse.com/algebra/relation/math-worksheets/Relation-function-in-math_Worksheet.pdf

Date added: October 19, 2011 - Views: 1160

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4 Functions functions relation De nition S T...

general idea, namely the notion of a relation. A function turns out to be a special type of relation. De nition: Let Sand Tbe sets. A binary relationon SxT

http://personal.stevens.edu/~dbauer/pdf/dmn04f2.pdf

Date added: July 18, 2013 - Views: 2

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7 Relations and Partial Orders - MIT...

7 Relations and Partial Orders A relation is a mathematical tool ... Given sets Aand B, a binary relation RWA ... the difference between a function and a relation is ...

http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-fall-2010/readings/MIT6_042JF10_chap07.pdf

Date added: March 5, 2014 - Views: 1

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Conjugate Relation between Loss Functions and...

Conjugate Relation between Loss Functions and Uncertainty Sets in ... The main purpose of this paper is to study the relation between the loss function approach and

http://jmlr.org/papers/volume14/kanamori13a/kanamori13a.pdf

Date added: August 23, 2013 - Views: 1

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Theory of Choice - Massachusetts Institute of...

6 CHAPTER 1. THEORY OF CHOICE The following theorem states that a relation needs to be a preference relation in order to be represented by a utility function.

http://ocw.mit.edu/courses/economics/14-123-microeconomic-theory-iii-spring-2010/lecture-notes/MIT14_123S10_notes01.pdf

Date added: September 14, 2011 - Views: 4

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Relations and Functions - University of...

Relations and Functions De nition 1. For two items a and b; we de ne the ordered pair of them as the set (a;b) = fa;fa;bgg: If A and B are sets, we de ne the ...

http://math.ucr.edu/~monnot/144f13/relations%20and%20functions.pdf

Date added: March 26, 2014 - Views: 1

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Function Domain Range Relation - Brunswick

January 05, 2015 Function Is a pairing between two sets of numbers in which each element of the first set is paired with exactly one element of the second set.

http://www.brunswickschools.org/cms/lib3/OH01001261/Centricity/Domain/425/Function%20day%201%20notes.pdf

Date added: February 1, 2015 - Views: 1

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6. Cardinality

Suppose that S is a nonempty collection of sets. We define the relation ≼ on S by A≼B if and only if there exists a one-to-one function f from A into B, if and ...

http://www.math.bme.hu/~nandori/Virtual_lab/stat/foundations/Cardinality.pdf

Date added: May 11, 2013 - Views: 2