Dynamic programming | Weakly NP-complete problems
The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset of integers and a target-sum , and the question is to decide whether any subset of the integers sum to precisely . The problem is known to be NP. Moreover, some restricted variants of it are NP-complete too, for example: * The variant in which all inputs are positive. * The variant in which inputs may be positive or negative, and . For example, given the set , the answer is yes because the subset sums to zero. * The variant in which all inputs are positive, and the target sum is exactly half the sum of all inputs, i.e., . This special case of SSP is known as the partition problem. SSP can also be regarded as an optimization problem: find a subset whose sum is at most T, and subject to that, as close as possible to T. It is NP-hard, but there are several algorithms that can solve it reasonably quickly in practice. SSP is a special case of the knapsack problem and of the multiple subset sum problem. (Wikipedia).
How to use the LCD to help us solve a rational equation
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve Rational Equations
Learning the easy way to solve a a rational equation by using the LCD
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve Proportions with Trinomials
Tutorial lesson for solving a rational expression by multiplying by the LCD
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve Rational Equations
Learn to solve a proportion by determining & multiplying by LCD ex 14,(2x–11)=5(x–3)/11
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve a Proportion
Solve a proportion by multiplying by the LCD ex 13, (2n - 9)/7 = (3 - n)/4
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve a Proportion
Solving a proportion with a binomial
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve a Proportion
Learn how to apply the cross product to solve the proportion ex 10, (x - 5)/4 = 3/2
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve a Proportion
How to solve a proportion with an expression over another ex 18, (c + 1)/(c - 2) = 4/7
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve a Proportion
Subset Sum Problem | Subset Sum Problem Using Dynamic Programming | Data Structures | Simplilearn
This video aims to solve subset sum problem using dynamic programming. This "subset sum problem" tutorial helps learners to learn data structures and algorithm through a standard problem. This video will cover the following concepts: 00:00 Introduction to Subset Sum Problem 00:41 Problem
From playlist Data Structures & Algorithms [2022 Updated]
Karl Bringmann: Pseudopolynomial-time Algorithms for Optimization Problems
Fine-grained complexity theory is the area of theoretical computer science that proves conditional lower bounds based on conjectures such as the Strong Exponential Time Hypothesis. This enables the design of "best-possible" algorithms, where the running time of the algorithm matches a cond
From playlist Workshop: Parametrized complexity and discrete optimization
Deciding to multiply a proportion by the LCD rather than using cross multiplication
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve a Proportion
Nexus Trimester - Mokshay Madiman (University of Delaware)
The Stam region, or the differential entropy region for sums of independent random vectors Mokshay Madiman (University of Delaware) February 25, 2016 Abstract: Define the Stam region as the subset of the positive orthant in [Math Processing Error] that arises from considering entropy powe
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
Pan African Mathematics Olympiad | 2015 Question 3
We present a solution to question 3 from the 2015 Pan African Mathematics Olympiad. We use problem solving strategies involving congruence and divisibility, the size of the power set, and the pigeon-hole principal. Math Contest Playlist: https://www.youtube.com/playlist?list=PL22w63XsKjqy
From playlist Math Contest Problems
18. Dynamic Programming, Part 4: Rods, Subset Sum, Pseudopolynomial
MIT 6.006 Introduction to Algorithms, Spring 2020 Instructor: Erik Demaine View the complete course: https://ocw.mit.edu/6-006S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63EdVPNLG3ToM6LaEUuStEY This is the fourth and final lecture on dynamic programming. This cl
From playlist MIT 6.006 Introduction to Algorithms, Spring 2020
Victor Magron : Exploiting sparsity in polynomial optimization Lecture 1
CONFERENCE Recording during the thematic meeting : « Francophone Computer Algebra Days» the March 06, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIRM's Audiov
From playlist Control Theory and Optimization
Homogeneous Structures in Subset Sums and Non-averaging Sets - David Conlon
Special Year Research Seminar Topic: Homogeneous Structures in Subset Sums and Non-averaging Sets Speaker: David Conlon Affiliation: Caltech Date: March 07, 2023 We show that for every positive integer k there are positive constants C and c such that if A is a subset of {1, 2, ..., n} of
From playlist Mathematics
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If this video is confusing, be sure to check out our blog for the full solution transcript! https://centerofmathematics.blogspot.com/2018/02/problem-of-week-2-27-18-minimizing.html
From playlist Center of Math: Problems of the Week
Dynamic Programming Interview Question #1 - Find Sets Of Numbers That Add Up To 16
My Udemy course, 11 Essential Coding Interview Questions: https://www.udemy.com/11-essential-coding-interview-questions/?couponCode=DPQUESTION1 My dynamic programming intro video: https://youtu.be/vYquumk4nWw NOTE: There's an outline of this video in the comment section below! Keep in
From playlist Dynamic Programming Tutorial Series
Learning to solve a proportion with a binomial
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve a Proportion
Live Solve: Mathleague.org Qualifying Release 4
Note: Audio started working at 17:28 We're thrilled to officially collaborate with Mathleague.org to run their problem review sessions. We'll use a new technique we've pioneered to help middle school students learn to love challenging math. We equip brilliant and approachable high school
From playlist Mathleague.org