MATH 241 Chapter Notes - Chapter 5: Surjective Function, Set Notation, Floor And Ceiling Functions
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A function f maps elements of a set x to elements of subset y and is a subset. Set y is the target of f . the fact that f maps x to y or. X e x such that ( x , y ) e f this can be expressed in set notation range of f- = E x } must specify the domain for example , g : r r where g c x ) - txt. 2 functions f s g are equal if f and g have the same domain s target and fix ) = g lx) for every element. = g denotes the fact that functions f s g are equal. L x i the ceiling function rounds a real number to the nearest integer in the upward direction ceiling : r 2 where ceiling i x ) = the smallest integer y such that.