Computational problems

Search problem

In computational complexity theory and computability theory, a search problem is a type of computational problem represented by a binary relation. If R is a binary relation such that field(R) ⊆ Γ+ and T is a Turing machine, then T calculates R if: * If x is such that there is some y such that R(x, y) then T accepts x with output z such that R(x, z) (there may be multiple y, and T need only find one of them) * If x is such that there is no y such that R(x, y) then T rejects x Intuitively, the problem consists in finding structure "y" in object "x". An algorithm is said to solve the problem if at least one corresponding structure exists, and then one occurrence of this structure is made output; otherwise, the algorithm stops with an appropriate output ("Item not found" or any message of the like). Such problems occur very frequently in graph theory, for example, where searching graphs for structures such as particular matching, cliques, independent set, etc. are subjects of interest. Note that the graph of a partial function is a binary relation, and if T calculates a partial function then there is at most one possible output. A relation R can be viewed as a search problem, and a Turing machine which calculates R is also said to solve it. Every search problem has a corresponding decision problem, namely This definition may be generalized to n-ary relations using any suitable encoding which allows multiple strings to be compressed into one string (for instance by listing them consecutively with a delimiter). (Wikipedia).

Video thumbnail

Get More Out of Google Search

In this video, you’ll learn some tips and tricks for getting the most out of using Google to search for stuff online. Visit https://edu.gcfglobal.org/en/searchbetter/google-search-tips/1/ to learn even more. We hope you enjoy!

From playlist Search Better

Video thumbnail

Searching for a Job

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist Searching for a Job

Video thumbnail

Conducting an Online Job Search

In this video, you’ll learn more about conducting an online job search. Visit https://www.gcflearnfree.org/jobsearchandnetworking/find-a-job-online/1/ to learn even more. We hope you enjoy!

From playlist Searching for a Job

Video thumbnail

Learn how to graph a word problem system of inequalities

👉Learn how to solve a system of linear equations from a word problem. A system of equations is a set of more than one equations which are to be solved simultaneously. A word problem is a real world simulation of a mathematical concept. The solution to a system of equation is the set of val

From playlist Solve a System Algebraically | Algebra 2

Video thumbnail

Discrete Math - 3.1.2 Searching Algorithms

Linear search and binary search algorithms. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz

From playlist Discrete Math I (Entire Course)

Video thumbnail

How to Submit Your Website to Search Engines Like Google, Bing and Yahoo

Do you want to let search engines like Google, Bing and Yahoo know that your website exists? Follow this EASY step-by-step tutorial to learn how to submit your website to search engines. You can also read our SUPER detailed blog post here: https://ahrefs.com/blog/submit-website-to-se

From playlist SEO Tutorials for Beginners: Learn Search Engine Optimization Step-By-Step

Video thumbnail

What is the solution to the system of equations

👉Learn about solving a system of equations by graphing. A system of equations is a set of more than one equations which are to be solved simultaneously. To solve a system of equations graphically, we graph the individual equations making up the system. The point of intersection of the gr

From playlist Solve a System of Equations by Graphing | Learn About

Video thumbnail

Divide-and-Conquer Monte Carlo Tree Search For Goal-Directed Planning (Paper Explained)

When AI makes a plan it usually does so step by step, forward in time. But often it is beneficial to define intermediate goals to divide a large problem into easier sub-problems. This paper proposes a generalization of MCTS that searches not for the best next actions to take, but for the b

From playlist Papers Explained

Video thumbnail

Lecture 19: Data Structures and Algorithms - Richard Buckland

we start looking at the problem of searching. Lecture 19 of COMP1927 "Data Structures and Algorithms" by Richard Buckland UNSW, 2009

From playlist CS2: Data Structures and Algorithms - Richard Buckland

Video thumbnail

Search 2 - A* | Stanford CS221: Artificial Intelligence (Autumn 2019)

For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Topics: Problem-solving as finding paths in graphs, A*, consistent heuristics, Relaxation Percy Liang, Associate Professor & Dorsa Sadigh, Assistant Professor - S

From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021

Video thumbnail

Symbolic Regression and Program Induction: Lars Buesing

Machine Learning for the Working Mathematician: Week Fourteen 2 June 2022 Lars Buesing, Searching for Formulas and Algorithms: Symbolic Regression and Program Induction Abstract: In spite of their enormous success as black box function approximators in many fields such as computer vision

From playlist Machine Learning for the Working Mathematician

Video thumbnail

Tips for Finding Linux Help

Today I talk about how you can create better search queries for your Linux needs. 👇 PULL IT DOWN FOR THE GOOD STUFF 👇 Patreon - https://patreon.com/thelinuxcast Liberapay - https://liberapay.com/thelinuxcast/ Youtube - https://www.youtube.com/channel/UCylGUf9BvQooEFjgdNudoQg/join =====

From playlist Linux Tutorials

Video thumbnail

Automating Machine Learning | Data Science Institute

ABOUT THE TALK: Recent years have seen a widespread adoption of machine learning in industry and academia, impacting diverse areas from advertisement to personal medicine. As more and more areas adopt machine learning and data science techniques, the question arises on how much expertise

From playlist talks

Video thumbnail

Monotone Circuit Lower Bounds from Resolution - Mika Goos

Computer Science/Discrete Mathematics Seminar II Topic: Monotone Circuit Lower Bounds from Resolution Speaker: Mika Goos Affiliation: Member, School of Mathematics Date: November 27, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Search 1 - Dynamic Programming, Uniform Cost Search | Stanford CS221: AI (Autumn 2019)

For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Topics: Problem-solving as finding paths in graphs, Tree search, Dynamic programming, uniform cost search Percy Liang, Associate Professor & Dorsa Sadigh, Assista

From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021

Video thumbnail

Unit 3 Debate: Tomer Ullman and Laura Schulz

MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015 View the complete course: https://ocw.mit.edu/RES-9-003SU15 Instructor: Tomer Ullman, Laura Schulz Speakers debate what makes a good theory of the world, the potential role of stochastic search in theory formation, goal-o

From playlist MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015

Video thumbnail

10% Students Solve This Trig Equation Wrong (Including me!)

Once you have a solid idea for how to solve trigonometric equations it is time for a challenge. A problem that will test you knowledge and ability to apply algebraic concepts to trigonometric equations. This problem does exactly that. ✅ Know when to use identities https://youtu.be/UArTc

From playlist Challenged and Confused Videos

Related pages

Clique (graph theory) | Binary relation | Graph theory | Independent set (graph theory) | Counting problem (complexity) | State (computer science) | Successor function | Function problem | Computational complexity theory | Matching (graph theory) | Computability theory | Decision problem | Optimization problem | Turing machine | Algorithm | Computational problem