Recursive Thinking Define the solution to a problem in terms of a - PowerPoint PPT Presentation

Sep 10, 2023 •249 likes •306 views

Senior Symposium, Friday Elicitation of Gestures for The Weil Zeta Function for Image Editing Curves Andreea Bancila Vy Nguyen 4:15, Cleveland L1 3:45, Cleveland L1 1 Recursive Thinking Define the solution to a problem in terms of a

Senior Symposium, Friday Elicitation of Gestures for The Weil Zeta Function for Image Editing Curves Andreea Bancila Vy Nguyen 4:15, Cleveland L1 3:45, Cleveland L1 1 Recursive Thinking Define the solution to a problem in terms of a solution to one or more “smaller” subproblems Define a base case, a subproblem that can be solved directly. 2 Towers of Hanoi End of the world in 585 billion years! http:/ / en.wikipedia.org/wiki/Tower_of_Hanoi 3 Thursday, April 18, 13
More Recursion Humor http:/ / www.thinkgeek.com/ images/products/zoom/ b2ae_recursion.jpg 4 Finding a Path in a Maze Start End 5 Recursion! What are the subproblems? Take 1 step, then search from that step to the end. What is the base case? Reached the end 6 Thursday, April 18, 13
Stacks & Start Backtracking Recursing findMazePath(0,4) findMazePath(0,3) findMazePath(0,2) End findMazePath(0,1) findMazePath(0,0) 7 Stacks & Start Backtracking Dead end - backtrack findMazePath(0,4) findMazePath(0,3) findMazePath(0,2) End findMazePath(0,1) findMazePath(0,0) 8 Stacks & Start Backtracking Recurse in a different direction findMazePath(1,3) findMazePath(0,3) findMazePath(0,2) End findMazePath(0,1) findMazePath(0,0) 9 Thursday, April 18, 13
Eight Queens Place 8 queens on a chessboard such that no queen can capture any other queen. ! ! L I A F 10 Success! 11 Sudoku 12 Thursday, April 18, 13

Recommend

1 Recursive Definitions Infinite Recursion The recursive part of the LIST definition is used

CSC 2014 Java Bootcamp Lecture 9 Recursion 2 Recursion Recursion is a fundamental programming technique that can provide an elegant solution certain kinds of problems RECURSIVE THINKING 3 4 Recursive Thinking Recursive Definitions

148 views • 4 slides

RECURSION Chapter 5 Recursive Thinking Section 5.1 1 11/2/2017 Recursive Thinking

11/2/2017 RECURSION Chapter 5 Recursive Thinking Section 5.1 1 11/2/2017 Recursive Thinking Recursion is a problem-solving approach that can be used to generate simple solutions to certain kinds of problems that are difficult to solve

530 views • 30 slides

Recursive Methods Noter ch.2 Recursive Methods Recursive problem solution Problems

Recursive Methods Noter ch.2 Recursive Methods Recursive problem solution Problems that are naturally solved by recursion Examples: Recursive function: Fibonacci numbers Recursive graphics: Fractals Mutual recursion:

796 views • 61 slides

Recursive Methods Recursive problem solution Problems that are naturally solved by

Recursive Methods Recursive problem solution Problems that are naturally solved by recursion Derivative of rational function Recursive Methods Examples: Recursive function: Fibonacci numbers Recursive graphics:

284 views • 5 slides

61A Lecture 6 Announcements Recursive Functions Recursive Functions 4 Recursive Functions

61A Lecture 6 Announcements Recursive Functions Recursive Functions 4 Recursive Functions Definition: A function is called recursive if the body of that function calls itself, either directly or indirectly 4 Recursive Functions Definition:

1.08k views • 88 slides

Recursion Announcements Recursive Functions Recursive Functions 4 Recursive Functions

Recursion Announcements Recursive Functions Recursive Functions 4 Recursive Functions Definition : A function is called recursive if the body of that function calls itself, either directly or indirectly 4 Recursive Functions Definition

1.11k views • 89 slides

Lesson 9 Recursive Types 2/19, 21 Chapters 20, 21 Recursive type Recursive type terms are

Lesson 9: Recursive Types Lesson 9 Recursive Types 2/19, 21 Chapters 20, 21 Recursive type Recursive type terms are infinite, but regular For finite terms, use induction based on least fixed points For infinite terms/trees, we

232 views • 7 slides

Review Recursion Factorial (Iterative and Recursive versions) Call Stack (Last-in,

Review Recursion Factorial (Iterative and Recursive versions) Call Stack (Last-in, first-out Queue) Tracing recursive functions Fibonacci Sequence Recursive Implementation Recursive Maze Generation One can declare an

921 views • 16 slides

Assessing the Stability of Forecasting Models: Recursive Parameter Estimation and Recursive

Assessing the Stability of Forecasting Models: Recursive Parameter Estimation and Recursive Residuals At each t, t = k, ... ,T-1, compute: Recursive parameter est. and forecast: Recursive residual: If all is well: Sequence of 1-step forecast

650 views • 39 slides

Recursion Announcements Recursive Functions Recursive Functions Definition : A function is

Recursion Announcements Recursive Functions Recursive Functions Definition : A function is called recursive if the body of that function calls itself, either directly or indirectly Implication : Executing the body of a recursive function may

320 views • 18 slides

Recursion: Thinking About It 7 January 2019 OSU CSE 1 Recursion A remarkably important

Recursion: Thinking About It 7 January 2019 OSU CSE 1 Recursion A remarkably important concept and programming technique in computer science is recursion A recursive method is simply one that calls itself There are two quite

599 views • 58 slides

OUTLINE CHAPTER 10 Recursive Hierarchies Table of contents Recursive Hierarchies and Bridges

OUTLINE CHAPTER 10 Recursive Hierarchies Table of contents Recursive Hierarchies and Bridges Reporting Challenge Flattening a Recursive Hierarchy The Hierarchy Bridge Double Counting Resolving Many to Many Dinesh Maharjan

401 views • 13 slides

Announcements Recursion Recursive Functions Definition : A function is called recursive if the

Announcements Recursion Recursive Functions Definition : A function is called recursive if the body of that function calls itself, either directly or indirectly Implication : Executing the body of a recursive function may require applying that

398 views • 3 slides

Non-Recursive In-Place FFT Algorithm Idea: "Unwind the in-place recursive algorithm and work

Non-Recursive In-Place FFT Algorithm Idea: "Unwind the in-place recursive algorithm and work bottom up from a bit-reversed input array in a "butterfly" pattern: - 1 - (non-recursive in-place FFT algorithm continued) Non-recursive

436 views • 5 slides

Recursive Analysis And Real Recursive Functions Emmanuel Hainry Joint work with Olivier Bournez

Recursive Analysis And Real Recursive Functions Emmanuel Hainry Joint work with Olivier Bournez LORIA/INPL, Nancy, France Feb. 13, 2006 1/29 Introduction Definitions Recursive functions Limit operator Conclusion 1. Introduction Context

399 views • 29 slides

Recursion 15-110 - Friday 2/21 Learning Objectives Define and recognize base cases and

Recursion 15-110 - Friday 2/21 Learning Objectives Define and recognize base cases and recursive cases in recursive code Read and write basic recursive code Trace over recursive functions that use multiple recursive calls with

940 views • 48 slides

ECSEL JU IMPACT OF FUNDING TOOLS BERT DE COLVENAER THINKING TOGETHER THINKING TOGETHER

ECSEL JU IMPACT OF FUNDING TOOLS BERT DE COLVENAER THINKING TOGETHER THINKING TOGETHER THINKING TOGETHER THINKING TOGETHER WORKING TOGETHER 3Ccar CAMMI DENSE ENLIGHT iFEST ME3GAS PARSIMO RobustSENSE SYSMODEL 3DAM CESAR DESERVE

738 views • 11 slides

Python: Recursive Functions Recursive Functions Recall factorial function: Iterative Algorithm

Python: Recursive Functions Recursive Functions Recall factorial function: Iterative Algorithm Loop construct (while) can capture computation in a set of state variables that update on each iteration through loop Recursive Functions

376 views • 22 slides

One-Slide Summary List Recursion Examples & Recursive Procedures Recursive functions

One-Slide Summary List Recursion Examples & Recursive Procedures Recursive functions that operate on lists have a similar structure. list-cruncher is a higher-order function that can be used to implement many others. Decisions in a

331 views • 9 slides

ALL THINGS Lindy Strong DNA & OUR THINKING DNA & Our Thinking The following section

RESTORATION OF ALL THINGS Lindy Strong DNA & OUR THINKING DNA & Our Thinking The following section has several quotes directly for this book It also contains a 21 day brain detox plan DNA & Our Thinking To quote Caroline

1.4k views • 106 slides

Search Algorithms 15-110 - Monday 2/24 Learning Objectives Trace over recursive functions

Search Algorithms 15-110 - Monday 2/24 Learning Objectives Trace over recursive functions that use multiple recursive calls with Towers of Hanoi Recognize linear search on lists and in recursive contexts Use binary search when reading

465 views • 30 slides

The Representability of Partial Recursive Yan Steimle Functions in Arithmetical Theories and

Representing Recursive Functions The Representability of Partial Recursive Yan Steimle Functions in Arithmetical Theories and Definitions Main Categories theorems Statements Proof Total recursive functions Yan Steimle Conclusion

574 views • 32 slides

BILL MARTIN Designing a Comprehensive Thinking Program: Blending Thinking Skills and

BILL MARTIN Designing a Comprehensive Thinking Program: Blending Thinking Skills and Dispositions CONFERENCE ON THINKING NORDIC FOLLOW-UP SWEDEN - OCTOBER 2008 DO YOU KNOW A THINKING SCHOOL? WHY NOT? The thinker has left!

790 views • 29 slides

Thinking Together About Webinar Series Thinking Together About Thinking Thought Leader: Graham

Aerojet Rockeydynes Thinking Together About Webinar Series Thinking Together About Thinking Thought Leader: Graham Rawlinson graham.rawlinson@nextstepassociates.co.uk May 6 th , 2015 Page 1 Risk Management and the subconscious mind

587 views • 15 slides