'Floor function' diaporamas de présentation

FUNCTIONS

FUNCTIONS. Introduction.

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CS 220: Discrete Structures and their Applications

CS 220: Discrete Structures and their Applications. Functions Chapter 5 in zybooks. Functions. A function maps elements from one set X to elements of another set Y. r ange : {A, B, D}. A. d omain X = {Brian, Drew, Alan, Ben}. target Y = {A,B,C,D,F}. B. Brian. C. Drew.

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22C:19 Discrete Structures Sets and Functions

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Functions

Functions. Functions. Definition : A function f from set A to set B , denoted f : A ? B, is an assignment of each element of A to exactly one element of B . We write f ( a ) = b if b is the unique element of B assigned to the element a of A . .

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Ch.1 (Part 4): The Foundations: Logic and Proof, Sets, and Functions

Ch.1 (Part 4): The Foundations: Logic and Proof, Sets, and Functions. Functions (Section 1.8). Functions (1.8). Definition: Let A and B be sets. A function (mapping, map) f from A to B, denoted f :A ? B, is a subset of A*B such that ? x [x ? A ? ? y [y ? B ? < x, y > ? f ]] and

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More Functions and Sets

More Functions and Sets Rosen 1.8 B A S f(a) a Inverse Image Let f be an invertible function from set A to set B. Let S be a subset of B. We define the inverse image of S to be the subset of A containing all pre-images of all elements of S. f -1 (S) = {a ?A | f(a) ?S} B f f A -1

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Chapter 3

Chapter 3. Elementary Number Theory and Methods of Proof. 3.5. Direct Proof and Counterexample 5 Floor & Ceiling. Floor & Ceiling. Definition Floor Given any real number x , the floor of x , denoted ? x ?, is defined as: ? x ? = n ? n ? x < n + 1. Ceiling

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Efficiency of Algorithms: Logarithmic Orders Binary Search Algorithm

Efficiency of Algorithms: Logarithmic Orders Binary Search Algorithm. Logarithmic function. Definition: The logarithmic function with base b ( b>0, b ?1 ) is the following function from R + to R : log b (x) = the exponent to which b must raised to obtain x .

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