modern mathematic an elementary apoproach1970 |
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Σελίδα 35
... elements. A set may consist of no elements, a limited collection of elements, or an unlimited collection of elements. A set that contains no elements is called an emply or null set and is denoted by the symbols 0 or { }. Can you think ...
... elements. A set may consist of no elements, a limited collection of elements, or an unlimited collection of elements. A set that contains no elements is called an emply or null set and is denoted by the symbols 0 or { }. Can you think ...
Σελίδα 91
... elements are elements from 0 and whose second elements are elements from A. However, there are no elements in 0. Thus, there are no elements in 0 x A, so 0 x A = 0. Hence 0 . a = n(0 xA) = n(0) = 0. Theorem 3-11 : (a) If a, b, and c are ...
... elements are elements from 0 and whose second elements are elements from A. However, there are no elements in 0. Thus, there are no elements in 0 x A, so 0 x A = 0. Hence 0 . a = n(0 xA) = n(0) = 0. Theorem 3-11 : (a) If a, b, and c are ...
Σελίδα 318
... elements in the same class are congruent. Elements from different classes are not congruent. For the purposes of this course, we will generally use the smallest nonnegative element from a class to represent the class. We now select an ...
... elements in the same class are congruent. Elements from different classes are not congruent. For the purposes of this course, we will generally use the smallest nonnegative element from a class to represent the class. We now select an ...
Περιεχόμενα
Sections 15 of Chapter | 3 |
Sets and Relations | 33 |
The System of Whole Numbers | 69 |
Πνευματικά δικαιώματα | |
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Additive identity additive inverse algorithm angles answer arithmetic mean Associative property Axiom called cartesian product Chapter Seven circle closed curve Commutative property concept congruent Consider counting numbers decimal defined Definition denoted digits discussion distributive property divide elements equation equivalent Exercise Set factors Figure Find Fractions and Rational frequency given greatest common divisor illustrated indicated inductive reasoning intersection irrational number least common multiple line segment mathematical system measure median mod 9 multiplicative inverse natural numbers number line numbers less Numeration Systems obtained one-to-one correspondence operation of addition ordered pairs plane polygon positive integer preceding prime numbers prism probability Proof property of addition property of multiplication prove rational numbers real numbers represent sample space set of points solution set square subset subtraction symbol system of integers system of whole Table Theorem Transitive property triangle true Venn diagrams verify whole numbers