# Circuit complexity

In theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according to the size or depth of the Boolean circuits that compute them. A related notion is the circuit complexity of a recursive language that is decided by a uniform family of circuits (see below). Proving lower bounds on size of Boolean circuits computing explicit Boolean functions is a popular approach to separating complexity classes. For example, a prominent circuit class P/poly consists of Boolean functions computable by circuits of polynomial size. Proving that would separate P and NP (see below). Complexity classes defined in terms of Boolean circuits include AC0, AC, TC0, NC1, NC, and P/poly. (Wikipedia).

Physics 13.2..3a - Resistivity

Electrical resistivity as a property of matter. The concept is explained, the equation is derived, and an example problem is solved. From the Physics course by Derek Owens.

From playlist Physics - Electric Circuits

Physics 13.4.2h - Circuit Reduction Example

A circuit reduction problem. Calculating the total resistance of a network of resistors that involves a combination of resistors in series and parallel. From the Physics course by Derek Owens.

From playlist Physics - Electric Circuits

On The Complexity of Circuit Satisfiability - Ramamohan Paturi

Ramamohan Paturi University of California at San Diego October 12, 2009 We present a gap theorem regarding the complexity of the circuit satisfiability problem. We prove that the success probability of deciding Circuit Satisfiability for deterministic circuits with n variables and size m

From playlist Mathematics

Problem #24 Circuit with Five Resistors

Problem #24 Circuit with Five Resistors

From playlist Bi-weekly Physics Problems

Determine a Time Complexity of Code Using Big-O Notation: O(1), O(n), O(n^2)

This video explains how to determine the time complexity of given code. http://mathispower4u.com

What Is Current?

This electronics video tutorial answers the question what is current? It explains the concept of electric current by means of electric charge, time, voltage, and resistance. It explains how to calculate the current in a series circuit containing 3 resistors as well as resistors in a para

From playlist Electronic Circuits

Electrical Resistance

This tutorial explains the cause and effects of resistance. The variables that affect resistance are described and the mathematical equation relating resistance to those variables is described. You can find more information that supports this video on our website: Lesson Notes: https:/

From playlist Electric Circuits

Resistance & Resistivity, Example Problems

Includes four different worked examples for calculating resistance and resistivity. Resistivity is a property of a material that tells you how strongly it resists or conducts the flow of electric current. A low resistivity indicates a material that allows the flow of electric current. Res

From playlist DC Circuits; Resistors in Series and Parallel

Lower bounds for subgraph isomorphism – Benjamin Rossman – ICM2018

Mathematical Aspects of Computer Science Invited Lecture 14.3 Lower bounds for subgraph isomorphism Benjamin Rossman Abstract: We consider the problem of determining whether an Erdős–Rényi random graph contains a subgraph isomorphic to a fixed pattern, such as a clique or cycle of consta

From playlist Mathematical Aspects of Computer Science

Lower Bounds in Complexity Theory, Communication Complexity, and Sunflowers - Toniann Pitassi

Members' Seminar Topic: Lower Bounds in Complexity Theory, Communication Complexity, and Sunflowers Speaker: Toniann Pitassi Affiliation: University of Toronto; Visiting Professor, School of Mathematics Date: March 2, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Computer Science/Discrete Mathematics Seminar I Topic: Monotone Arithmetic Circuit Lower Bounds Via Communication Complexity Speaker: Arkadev Chattopadhyay Affiliation: Tata Institute of Fundamental Research Date: February 15, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

Amortized circuit complexity, formal complexity measures, and catalytic algorithms - Jeroen Zuiddam

Computer Science/Discrete Mathematics Seminar II Topic: Amortized circuit complexity, formal complexity measures, and catalytic algorithms Speaker: Jeroen Zuiddam Affiliation: New York University - Courant Institute of Mathematical Sciences Date: March 23, 2021 For more video please visi

From playlist Mathematics

AQC 2016 - Towards Quantum Supremacy with Pre-Fault-Tolerant Devices

A Google TechTalk, June 28, 2016, presented by Sergio Boixo (Google) ABSTRACT: A critical question for the field of quantum computing in the near future is whether quantum devices without error correction can perform a well-defined computational task beyond the capabilities of state-of-th

From playlist Adiabatic Quantum Computing Conference 2016

A PSPACE construction of a hitting set for the closure of small algebraic circuits - Amir Shpilka

Computer Science/Discrete Mathematics Seminar II Topic: A PSPACE construction of a hitting set for the closure of small algebraic circuits Speaker: Amir Shpilka Affiliation: Tel Aviv University Date: December 12, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

An average-case depth hierarchy theorem for Boolean - Li-Yang Tan

Computer Science/Discrete Mathematics Seminar I Topic: An average-case depth hierarchy theorem for Boolean circuits I Speaker: Li-Yang Tan Affiliation: Toyota Technological Institute, Chicago Date: Monday, April 4 We prove an average-case depth hierarchy theorem for Boolean circuits

From playlist Mathematics

Structure vs Randomness in Complexity Theory - Rahul Santhanam

Computer Science/Discrete Mathematics Seminar I Topic: Structure vs Randomness in Complexity Theory Speaker: Rahul Santhanam Affiliation: University of Oxford Date: April 20, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

The Minimum Formula Size Problem is (ETH) Hard - Rahul Ilango

Computer Science/Discrete Mathematics Seminar I Topic: The Minimum Formula Size Problem is (ETH) Hard Speaker: Rahul Ilango Affiliation: Massachusetts Institute of Technology Date: March 7, 2022 Understanding the complexity of the Minimum Circuit Size Problem (MCSP) is a longstanding mys

From playlist Mathematics

RLC Circuits (13 of 19) Summary of RLC Circuit Analysis

Summaries Resistance, Reactance and Impedance for Series RLC Circuits. Share this video with the following link: https://youtu.be/idf1JQ003nc Support my YouTube channel by doing all of the following: (1) Subscribe to my channel. Get all my excellent physics, chemistry & math videos. (2

From playlist AC Circuits; Capacitance, Inductance and Resistance