'Function composition' diaporamas de présentation

COLLEGE ALGEBRA

COLLEGE ALGEBRA. LIAL HORNSBY SCHNEIDER. 4.1. Inverse Functions. Inverse Operations One-to-One Functions Inverse Functions Equations of Inverses An Application of Inverse Functions to Cryptography. Inverse Operations.

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Chapter 2.7

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Function Composition

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Function Composition

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CS1022 Computer Programming & Principles

CS1022 Computer Programming & Principles. Lecture 2 Functions. Plan of lecture. Inverse functions Composition of functions Pigeonhole principle Fundamentals of functional programming. Inverse functions (1).

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Function Composition

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Warm-Up

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Discrete Mathematics CS 2610

Discrete Mathematics CS 2610. September 12, 2006. Agenda. Last class Functions Vertical line rule Ordered pairs Graphical representation Predicates as functions This class More on functions!. Function Terminology. Given a function f:A ? B A is the domain of f.

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Dao

Dao. Caleb Thornton & Jasmine Walker. Programming Language. What is dao?. The word Dao is a Chinese word, with the basic meaning of path or way. It also means fundamental principles, as a concept commonly found in Chinese philosophy. . What is dao ? (cont.).

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Function Composition

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Composition of Functions Section 1-8

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Algebra of Functions

Algebra of Functions. Review. Function notation: f(x) This DOES NOT MEAN MULITPLICATION. Given f(x) = 3x - 1, find f(2). Substitute 2 for x f(2) = 3(2) - 1 = 6 - 1 = 5. Review. Given f(x) = x - 5, find f(a+1) f(a + 1) = (a + 1) - 5 = a+1 - 5 f(a + 1) = a - 4. Objectives.

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Functions & Function Composition

Functions & Function Composition. Amanda Bateman. Def: A function is any process that assigns a single value of y to each number of x. Because x determines the value of y: y is the dependent variable x is the independent variable

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Algebra 2: Checkpoint 6.1 & 6.2

Algebra 2: Checkpoint 6.1 & 6.2. Solve the equation. Give the exact answer or round the result to two decimal places. a. b. 2. Simplify the expression. Assume all variables are positive. a. b. c. d. Algebra 2: Notes 6.3:.

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Cayley Theorem

Cayley Theorem. Every group is isomorphic to a permutation group. Example: U(10). U(10) = {1, 3, 7, 9} Definition: For g in U(10), let T g (x)= gx T 1 (x) = T 3 (x) = T 7 (x) = T 9 (x) =. x. T 1 =. ?. (1 3 9 7). 3x. T 3 =. (1 7 9 3). 7x. T 7 =. 9x. T 9 =.

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Chapter 9

Chapter 9. More About Higher-Order Functions. Currying. Recall the function: simple n a b = n * (a+b) Note that: simple n a b is really (((simple n) a) b) in fully parenthesized notation simple :: Float -> Float -> Float -> Float simple n :: Float -> Float -> Float

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Unit 2

Unit 2. Composition from a Graph. Objectives. I can perform function composition from a graph. Function Composition. Notation. Another way to write this is. OR f[g(x)]. evaluating with Function Composition. EX 4: f(x) = x 2 + 1 g(x) = 2x.

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Inverse Processes/Inverse Functions

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4.2 Composition of Functions

4.2 Composition of Functions. Objective. To form and evaluate composite functions. Composition of functions. Composition of functions is the successive application of the functions in a specific order.

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