Arithmetic | Computational complexity theory
In computational complexity theory, an integer circuit is a circuit model of computation in which inputs to the circuit are sets of integers and each gate of the circuit computes either a set operation or an arithmetic operation on its input sets. As an algorithmic problem, the possible questions are to find if a given integer is an element of the output node or if two circuits compute the same set. The decidability is still an open question, but there are results on restriction of those circuits. Finding answers to some questions about this model could serve as a proof to many important mathematical conjectures, like Goldbach's conjecture. It is a natural extension of the circuits over sets of natural numbers when the considered set contains also negative integers, the definitions, which does not change, will not be repeated on this page. Only the differences will be mentioned. (Wikipedia).
Multiplying and Dividing Integers
From playlist Integers
Rational and Irrational Numbers - N2
A review of the difference between rational and irrational numbers and decimals - including square rootes and fraction approximations of pi.
From playlist Arithmetic and Pre-Algebra: Number Sense and Properties
What is the Difference Between Rational and Irrational Numbers , Intermediate Algebra , Lesson 12
This tutorial explains the difference between rational and irrational numbers. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Intermediate Algebra
Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
The integers modulo n under addition is a group. What are the integers mod n, though? In this video I take you step-by-step through the development of the integers mod 4 as an example. It is really easy to do and to understand.
From playlist Abstract algebra
What is the difference between adding and subtracting positive and negative integers
👉 You will learn how to add and subtract integers. We will work through adding and subtracting two integers up to multiple integers. We can look at adding and subtracting integers by looking at there values on a number line where there value is the place holder and there sign is there di
From playlist Integer Operations
Learn how to identify if a function is a polynomial and identify the degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Daniel Kral: Parametrized approach to block structured integer programs
Integer programming is one of the most fundamental problems in discrete optimization. While integer programming is computationally hard in general, there exist efficient algorithms for special instances. In particular, integer programming is fixed parameter tractable when parameterized by
From playlist Workshop: Parametrized complexity and discrete optimization
Sums of Squares and Golden Gates - Peter Sarnak (Princeton)
Through the works of Fermat, Gauss, and Lagrange, we understand which positive integers can be represented as sums of two, three, or four squares. Hilbert's 11th problem, from 1900, extends this question to more general quadratic equations. While much progress has been made since its formu
From playlist Mathematics Research Center
Stanford Seminar - Highly optimized quantum circuits synthesized via data-flow engines
Peter Rakyta, Department of Physics of Complex Systems at Eötvös Loránd University November 9, 2022 The formulation of quantum programs in terms of the fewest number of gate operations is crucial to retrieve meaningful results from the noisy quantum processors accessible these days. In th
From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series
Matthew Hastings - Introduction to Quantum Cellular Automata - IPAM at UCLA
Recorded 01 September 2021. Matthew Hastings of Microsoft Research presents "Introduction to Quantum Cellular Automata" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Learn more online at: http://www.ipam.ucla.edu/programs/summer-schools/graduate-summer-scho
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
LESSON 10: Reading Analog Voltages with Arduino
This video describes how to make analog voltage measurements on the arduino using pins A0 through A5. A simple voltage divider circuit is set up using a potentiomenter. The circuit schematic can be found on lesson 10 at www.toptechboy.com
From playlist Arduino Lessons
Optimal Component Selection Using the Mixed-Integer Genetic Algorithm
Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 Use the mixed-integer genetic algorithm to solve an engineering design problem. For more videos, visit http://www.mathworks.com/products/global-optimization/examples.html
From playlist Math, Statistics, and Optimization
dividing by 0 and rational division
From playlist Core Standards - 7th Grade Math
Nexus Trimester - František Matúš (Institute of Information Theory and Automation) 2/3
Entropy region and convolution František Matúš (Institute of Information Theory and Automation) February 19, 2016 Abstract: The entropy region is constructed from vectors of random variables by collecting Shannon entropies of all subvectors. We will review results on its shape using poly
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
Tutorial 08: analogRead() and the Serial Port: Arduino Course for Absolute Beginners (ReM)
***If you like this, I think you'll like the premium Arduino training we offer. Check it out here*** https://bit.ly/3nSBPUs We designed this circuit board for beginners! Kit-On-A-Shield: https://amzn.to/3lfWClU SHOP OUR FAVORITE STUFF! (affiliate links) ---------------------------------
From playlist Arduino Course (Programming Electronics Academy)
Total Functions in the Polynomial Hierarchy - Robert Kleinberg
Computer Science/Discrete Mathematics Seminar I Topic: Total Functions in the Polynomial Hierarchy Speaker: Robert Kleinberg Affiliation: Cornell University Date: February 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Fang Song - Introduction to quantum computing Part 2 of 3 - IPAM at UCLA
Recorded 26 July 2022. Fang Song of Portland State University presents "Introduction to quantum computing II" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: This lecture will focus on two major (families of) quantum algorithms: period finding (a.k.a. Hidd
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography