Sets Of Numbers Algebra Ppt Download Example: the set of integer multiples of the number 5.ó Ÿ ¨ the cardinality of a set¡ Ÿ Önotation: n(a) for finite sets a, n(a) is the number of elements of a. for infinite sets a, write n(a)= ".¡ à 8 # ª > > ó Ÿ ¨ specifying a set¡ Ÿ ¨ klist the elements explicitly, e.g., list the elements implicitly, e.g., use set builder. A set is a collection of distinct objects, which can include numbers, points, or other sets. some key concepts in set theory include: membership and subsets, where an object is a member of a set and a set is a subset of another if all its members are also in the other set. binary operations on sets like union, intersection, and complement.
Sets Sets Are Lists Of Items That Have Specific Members Brackets The real numbers, natural numbers, rational numbers, and integers have special notation which is understood to stand for these sets of numbers. corresponding bold face letters are also a common notation for these sets of numbers. some authors do not include 0 in the set of natural numbers. we will include zero. exercise 1.3.1. • example: the set of two digit positive integers has 90 elements. • an infinite set is one which cannot be counted. • example: the set of integer multiples of the number 5. the cardinality of a set • notation: n(a) • for finite sets a, n(a) is the number of elements of a. • for infinite sets a, write n(a)=∞. E.g. {x | x is odd and 0 < x < 100} if x is an element o set a, it can be written as ‘x a’ if x is not an element of a, it can be written as ‘x a’ special types of sets standard notations used to define some sets: n set of all natural numbers z set of all integers q set of all rational numbers r set of all real numbers c. Set difference. definition: let a and b be sets. the difference of a and b, denoted by a b, is the set containing those elements that are in. but not in b. the difference of a and b is also called the complement of b with respect to a. alternate: a b = { x | x a x b }. example: a= {1,2,3,5,7} b = {1,5,6,8}.
Ppt Sets Of Numbers Powerpoint Presentation Free Download Id 6459274 E.g. {x | x is odd and 0 < x < 100} if x is an element o set a, it can be written as ‘x a’ if x is not an element of a, it can be written as ‘x a’ special types of sets standard notations used to define some sets: n set of all natural numbers z set of all integers q set of all rational numbers r set of all real numbers c. Set difference. definition: let a and b be sets. the difference of a and b, denoted by a b, is the set containing those elements that are in. but not in b. the difference of a and b is also called the complement of b with respect to a. alternate: a b = { x | x a x b }. example: a= {1,2,3,5,7} b = {1,5,6,8}. What is a set? a set is a collection of well defined objects examples: 1) a set of colors in a rainbow 2) a set of days in a week 3) a set of vowels in the english alphabet. 5. methods of writing sets 1) listing method (roster form) 2) rule method (set builder form) 6. Tell me using symbols. 7 two examples example 1: use roster notation and set builder notation to write the set of the first 5 even natural numbers. example 2: write the set using set builder notation { 4, 3, 2, 1, 0} 8 1.1 (b) hw: p. 10 #53, 59, 63, 65 75 (odd), 85, 86. download ppt "the real number system, symbols, sets, and subsets".
Algebra Of Sets Ppt What is a set? a set is a collection of well defined objects examples: 1) a set of colors in a rainbow 2) a set of days in a week 3) a set of vowels in the english alphabet. 5. methods of writing sets 1) listing method (roster form) 2) rule method (set builder form) 6. Tell me using symbols. 7 two examples example 1: use roster notation and set builder notation to write the set of the first 5 even natural numbers. example 2: write the set using set builder notation { 4, 3, 2, 1, 0} 8 1.1 (b) hw: p. 10 #53, 59, 63, 65 75 (odd), 85, 86. download ppt "the real number system, symbols, sets, and subsets".
Ppt Math 331 Discrete Mathematics Powerpoint Presentation Free
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