Combinatorial optimization

Subadditive set function

In mathematics, a subadditive set function is a set function whose value, informally, has the property that the value of function on the union of two sets is at most the sum of values of the function on each of the sets. This is thematically related to the subadditivity property of real-valued functions. (Wikipedia).

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Definition of a Surjective Function and a Function that is NOT Surjective

We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht

From playlist Injective, Surjective, and Bijective Functions

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Injective, Surjective and Bijective Functions (continued)

This video is the second part of an introduction to the basic concepts of functions. It looks at the different ways of representing injective, surjective and bijective functions. Along the way I describe a neat way to arrive at the graphical representation of a function.

From playlist Foundational Math

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Definition of an Injective Function and Sample Proof

We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil

From playlist Injective, Surjective, and Bijective Functions

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The Definition of a Surjective(Onto) Function and Explanation

The Definition of a Surjective(Onto) Function and Explanation

From playlist Functions, Sets, and Relations

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How to use the Subtotal Feature and the SUBTOTAL Function in Excel

Sign up for our Excel webinar, times added weekly: https://www.excelcampus.com/blueprint-registration/ In this video, discover the difference between the SUBTOTAL function and the Subtotal feature in Excel and learn how to use both to insert subtotals in your data. Here is a link to the

From playlist Formulas & Functions

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Abstract Algebra | Surjective Functions

We give the definition of a surjective function, an outline for proving that a function is surjective, and some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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What is a function?

This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.

From playlist Foundational Math

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Coherent risk measures and why VaR is not coherent (FRM T4-5)

[my xls is here https://trtl.bz/2ErWQl8] Coherence requires that a risk measure meets all four of the following conditions unconditionally: 1. Translation invariance (aka, adding cash reduces risk), 2. Positive homogeneity (aka, risk is proportional to size"), 3. Monotonicity (aka, If Y do

From playlist Valuation and RIsk Models (FRM Topic 4)

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Matrix trace inequalities for quantum entropy - M. Berta - Main Conference - CEB T3 2017

Mario Berta (Imperial) / 11.12.2017 Title: Matrix trace inequalities for quantum entropy Abstract: I will present multivariate trace inequalities that extend the Golden-Thompson and Araki-Lieb-Thirring inequalities as well as some logarithmic trace inequalities to arbitrarily many matric

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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QRM L2-1: Risk Measures

Welcome to Quantitative Risk Management (QRM). In this lesson we introduce the axiomatic approach to risk measures. We give the definition of risk measure and we discuss what its uses for us are in terms of reserve capital quantification. We then define coherent and convex measures. The p

From playlist Quantitative Risk Management

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Quenched large deviations for random motions in degenerate random media by Chiranjib Mukherjeer

Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst

From playlist Large deviation theory in statistical physics: Recent advances and future challenges

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Entropy bounds for reduced density matrices of fermionic states - Elliott Lieb

Elliott Lieb Princeton Univ April 2, 2014 For more videos, visit http://video.ias.edu

From playlist Mathematics

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How to determine if an ordered pair is a function or not

👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r

From playlist What is the Domain and Range of the Function

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Bit threads and holographic monogamy by Matthew Headrick

ORGANIZERS : Pallab Basu, Avinash Dhar, Rajesh Gopakumar, R. Loganayagam, Gautam Mandal, Shiraz Minwalla, Suvrat Raju, Sandip Trivedi and Spenta Wadia DATE : 21 May 2018 to 02 June 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore In the past twenty years, the discovery of the AdS/

From playlist AdS/CFT at 20 and Beyond

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Andrea Lodi - Continuous cutting plane algorithms in integer programming - IPAM at UCLA

Recorded 27 February 2023. Andrea Lodi of Cornell University presents "Continuous cutting plane algorithms in integer programming" at IPAM's Artificial Intelligence and Discrete Optimization Workshop. Abstract: Cutting planes for mixed-integer linear programs (MILPs) are typically computed

From playlist 2023 Artificial Intelligence and Discrete Optimization

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Topics in Combinatorics lecture 11.1 --- Subadditivity of entropy and Shearer's lemma

A useful rule that is satisfied by entropy is that if X_1,...,X_n are random variables, then H[X_1,...,X_n] is at most H[X_1]+...+H[X_n]. Shearer's lemma is a generalization of this, where one compares H[X_1,...,X_n] by a suitable weighted average of joint entropies of the form H[X_i : i i

From playlist Topics in Combinatorics (Cambridge Part III course)

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Andreas Winter: "Entropy inequalities beyond strong subadditivity"

Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Entropy inequalities beyond strong subadditivity" Andreas Winter - Universitat Autònoma de Barcelona Abstract: What are the constraints that the von Neumann entropies of the 2^n possible marginals of an n-party quantum s

From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021

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Prove or Disprove if the Function is Injective

Prove or Disprove if the Function is Injective If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Functions, Sets, and Relations

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Entanglement in theories of gravity by Suvrat Raju

Bangalore Area Strings Meeting - 2017 TIME : 31 July 2017 to 02 August 2017 VENUE:Madhava Lecture Hall, ICTS Bangalore Bengaluru now has a large group of string theorists, with 9 faculty members in the area, between ICTS and IISc. This is apart from a large group of postdocs and graduate

From playlist Bangalore Area Strings Meeting - 2017

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The SUBTOTAL Function Explained for Excel Tables Total Row

Sign up for our Excel webinar, times added weekly: https://www.excelcampus.com/blueprint-registration/ This video explains how the SUBTOTAL function works. This function is used when you add a Total Row to your Excel Tables. It also is what is used when you click the AutoSum button. If yo

From playlist Excel Tables Tutorials

Related pages

Set function | Additive map | Subadditivity | Set (mathematics) | Utility functions on indivisible goods | Submodular set function | Power set