'Recursive function' diaporamas de présentation

Advanced Recursion Design by Contract Data Abstraction

Lecture 7. Advanced Recursion Design by Contract Data Abstraction. Advanced Recursion. Recursive Function Example: Factorial. Problem: calculate n! (n factorial) n! = 1 if n = 0 n! = 1 * 2 * 3 *...* n if n > 0 Recursively: if n = 0 , then n! = 1

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Other Models of Computation

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The interpreter

The interpreter. Derived Expressions. (define derived? ( lambda (exp) ( or (if? exp) (function-definition? exp) (let? exp )))). Shallow-derive. (define shallow-derive ( lambda (exp) ( cond ((if? exp) (if-> cond exp)) (( function-definition? exp)

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Announcements

Announcements. HW 3 due today W ill post Scheme project today, due April 3 rd Ask questions on the LMS!. Last Class. Functional Programming Languages Scheme S-expressions, lists cons, car, cdr Defining Functions Recursive Functions Shallow recursion, Deep recursion.

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An adaptive video multicast scheme for varying workloads

An adaptive video multicast scheme for varying workloads. Kien A.Hua, JungHwan Oh, Khanh Vu Multimedia Systems, Springer-Verlag 2002. Outline. Introduction Related Work Proposed Approach Performance Model Performance Conclusion. Introduction.

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Stacks and Procedures

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Advanced Induction

Advanced Induction. Drawing hands by Escher. Discrete Structures (CS 173) Madhusudan Parthasarathy, University of Illinois. Logistics. Midterm is done grading but entering into Moodle/tallying/analysis will take longer.

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Advanced Induction

Advanced Induction. Drawing hands by Escher. Discrete Structures (CS 173) Madhusudan Parthasarathy, University of Illinois. Logistics. Midterm is done grading but entering into Moodle/tallying/analysis will take longer.

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Extended Static Checking for Haskell (ESC/Haskell)

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Introduction to LISP

Introduction to LISP. Lisp. Extensible: It lets you define new operators yourself Lisp programs are expressed as lisp data structures You can write programs that write programs (macros). Prefix notation. >(+ 2 3) 5 >(+ 2 3 4 5) 14 >(/ (- 7 1) (- 4 2)) 3. Prefix notation evaluation.

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Regression-Verification

Regression-Verification. Benny Godlin Ofer Strichman Technion. The goal of Regression Verification. The goal: formally verify the equivalence of two similar programs . Pros: Does not require formal specification . Computationally easier than functional verification

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ECE 15B Computer Organization Spring 2011 Dmitri Strukov

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Common Lisp!

Common Lisp!. John Paxton Montana State University Summer 2003. Montana Facts. State Animal: Grizzly Bear. Montana Facts. State Flag. Recursion.

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Recursion

Recursion. Recursion. The process of solving a problem by reducing it to smaller versions of itself Example: Factorial. Recursive algorithm. An algorithm is called recursive if it solves a problem by reducing the problem to smaller versions of itself

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C Functions

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GC16/3011 Functional Programming Lecture 6 Recursion and the Lambda Calculus

GC16/3011 Functional Programming Lecture 6 Recursion and the Lambda Calculus. Contents. Introduction Recursive functions in Miranda Recursive functions in the lambda calculus Binding for function name Fixed point Fixed point operator self-application. Introduction. Recursive function f.

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Homework Questions

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Copy Constructor & Destructor

CHAPTER 8. Copy Constructor & Destructor. Session Objectives. Explain Copy Constructor. Conversion Constructor. Explain Destructor. Rules for Framing a Destructor. COPY CONSTRUCTOR. This constructor function designed to copy objects of the same class type.

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Homework Questions

Homework Questions. Question 1: Write a program P that computes ? P (1) (r) = r-2 using no macros. Notice that we only consider natural numbers! This means that, for example, the expression 1-2 is undefined. Any program computing such an expression must never halt . Sample solution:

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Birthdays Parties and Counting Blind

CS110: Introduction to Computer Science: Lab12. Birthdays Parties and Counting Blind. Using Probabilities to Build Estimates.

384 views • 8 slides