Theoretical computer science | Computational problems
In theoretical computer science, a computational problem is a problem that may be solved by an algorithm. For example, the problem of factoring "Given a positive integer n, find a nontrivial prime factor of n." is a computational problem. A computational problem can be viewed as a set of instances or cases together with a, possibly empty, set of solutions for every instance/case. For example, in the factoring problem, the instances are the integers n, and solutions are prime numbers p that are the nontrivial prime factors of n. Computational problems are one of the main objects of study in theoretical computer science. The field of computational complexity theory attempts to determine the amount of resources (computational complexity) solving a given problem will require and explain why some problems are intractable or undecidable. Computational problems belong to complexity classes that define broadly the resources (e.g. time, space/memory, energy, circuit depth) it takes to compute (solve) them with various abstract machines. For example, the complexity class P for classical machines, and BQP for quantum machines. It is typical of many problems to represent both instances and solutions by binary strings, namely elements of {0, 1}*. For example, numbers can be represented as binary strings using binary encoding. (Wikipedia).
Lower Bound on Complexity - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Algorithms Explained: Computational Complexity
An overview of computational complexity including the basics of big O notation and common time complexities with examples of each. Understanding computational complexity is vital to understanding algorithms and why certain constructions or implementations are better than others. Even if y
From playlist Algorithms Explained
Calculus: Optimization Problems
In this video, I discuss optimization problems. I give an outline for how to approach these kinds of problems and worth through a couple of examples.
From playlist Calculus
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
The problem with `functions' | Arithmetic and Geometry Math Foundations 42a
[First of two parts] Here we address a core logical problem with modern mathematics--the usual definition of a `function' does not contain precise enough bounds on the nature of the rules or procedures (or computer programs) allowed. Here we discuss the difficulty in the context of funct
From playlist Math Foundations
Turing Machines and The Halting Problem (Part 2)
The Halting Problem has fascinated thousands of computer scientists from around the world. A major part of Computing Logic, the proof of the halting problem proves that computers can't do everything. Check out the video to learn more about why computers work the way they do! For Turing Ma
From playlist Math
How to use a system of equations to solve a word problem
👉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
How to use elimination to solve a word problem
👉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
Solving a word problem using a system of equations
👉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
The Diffie-Hellman Problem and Security of ElGamal Systems
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
What Computers Can't Do - with Kevin Buzzard
Kevin Buzzard explains one of the biggest unsolved problems in theoretical computer science - the P vs NP problem. Watch the Q&A here: https://youtu.be/A6J9p4iOr3A Subscribe for regular science videos: http://bit.ly/RiSubscRibe Today’s computers are lightning-fast. But sometimes we want
From playlist Computing/Tech/Engineering
The P versus NP problem - Efficient computation and the limits of human knowledge - AVI Wigderson
Speaker : Avi Wigderson ( IAS, Princeton ) Date and Time : 27 Dec 2009, 05:30 PM Venue : J. N. Tata Auditorium, IISc, Bangalore The P vs. NP problem is a central outstanding problem of computer science and mathematics. In this talk I will attempt to describe its technical, scientific and
From playlist Public Lectures
The Map of Quantum Computing | Quantum Computers Explained
An excellent summary of the field of quantum computing. Find out more about Qiskit at https://qiskit.org and their YouTube channel https://www.youtube.com/c/qiskit And get the poster here: https://store.dftba.com/collections/domain-of-science/products/map-of-quantum-computing With this vi
From playlist Quantum Physics Videos - Domain of Science
Anders Hansen: What is the Solvability Complexity Index SCI....
Anders Hansen: What is the Solvability Complexity Index (SCI) of your problem? - On the SCI Hierarchy and the foundations of computational mathematics Abstract: This talk addresses some of the fundamental barriers in the theory of computations. Many computational problems can be solved as
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
Vivien Kendon: How to compute using quantum walks
Quantum walks are widely and successfully used to model diverse physical processes. This leads to computation of the models, to explore their properties. Quantum walks have also been shown to be universal for quantum computing. This is a more subtle result than is often appreciated, since
From playlist Numerical Analysis and Scientific Computing
The field of computer science summarised. Learn more at this video's sponsor https://brilliant.org/dos Computer science is the subject that studies what computers can do and investigates the best ways you can solve the problems of the world with them. It is a huge field overlapping pure m
From playlist Map Videos - Domain of Science
HEDS | Using quantum computers to simulate a toy problem of laser-plasma interaction
HEDS Seminar Series- Yuan Shi – August 5th, 2021 LLNL-VIDEO-836250
From playlist High Energy Density Science Seminar Series
Krysta Svore - One Entangled Evening
On January 26th, 2016, Caltech and the Institute for Quantum Information and Matter invited the public to a celebration of Feynman's Quantum Legacy. http://iqim.caltech.edu/one-entangled... Produced in association with Caltech Academic Media Technologies. ©2016 California Institute of Te
From playlist One Entangled Evening - 1/26/2016
Solving a systems of equation word problem
👉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
The Secret Link Between Thousands of Unsolved Math Problems
Get Nebula using my link for 40% off an annual subscription: https://go.nebula.tv/upandatom Watch my exclusive video on the SAT to clique reduction: https://nebula.tv/videos/upandatom-sat-to-clique-reduction-bonus-video-from-npcompleteness Hi! I'm Jade. If you'd like to consider supportin
From playlist Math