Fairness criteria

Resource monotonicity

Resource monotonicity (RM; aka aggregate monotonicity) is a principle of fair division. It says that, if there are more resources to share, then all agents should be weakly better off; no agent should lose from the increase in resources. The RM principle has been studied in various division problems. (Wikipedia).

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Monotonicity Theorem

Using the monotonicity theorem to determine when a function is increasing or decreasing.

From playlist Calculus

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Multivariable Calculus | Differentiability

We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Joe Neeman: Gaussian isoperimetry and related topics II

The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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Multivariable Calculus | Conservative vector fields.

We prove some results involving conservative vector fields and describe a strategy for finding a potential function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Learn to find the value that makes the piecewise function differentiable and continuous

👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the domain. A function

From playlist Find the Differentiability of a Function

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Unusual Properties: Nowhere Monotonic/ Discontinuous Inverse

This video is about a nowhere monotonic functions and a function with a discontinuous inverse.

From playlist Basics: Unusual Properties in Math

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On the query complexity of Boolean monotonicity testing - Xi Chen

Computer Science/Discrete Mathematics Seminar I Topic:On the query complexity of Boolean monotonicity testing Speaker: Xi Chen Affiliation: Columbia University Date: October 24, 2016 For more video, visit http;//video.ias.edu

From playlist Mathematics

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Local linearity for a multivariable function

A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.

From playlist Multivariable calculus

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Proof and Circuit Complexity - Robert Robere

Short talks by postdoctoral members Topic: Proof and Circuit Complexity Speaker: Robert Robere Affiliation: Member, School of Mathematics For more video please visit http://video.ias.edu

From playlist Mathematics

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Universal points in the asymptotic spectrum (...) - M. Christandl - Main Conference - CEB T3 2017

Matthias Christandl (Copenhagen) / 11.12.2017 Title: Universal points in the asymptotic spectrum of tensors Abstract: The asymptotic restriction problem for tensors is to decide, given tensors s and t, whether the nth tensor power of s can be obtained from the (n+o(n))th tensor power o

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

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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

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Multivariable Calculus | Finding a limit with polar coordinates.

We use polar coordinates to find the limit of a multivariable function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Donald Hoffman - Does Evolutionary Psychology Explain Mind?

How did the human mind, with all its faculties and capacities, develop during the long evolution of human beings? 'Evolutionary psychology' is the field that hypothesizes how all our mental activities were selected for during evolution. But are the proposed mechanisms too cute, the story t

From playlist Closer To Truth - Donald Hoffman Interviews

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Increasing & Decreasing (1 of 1: Harder Examples)

More resources available at www.misterwootube.com

From playlist Applications of Differentiation

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Classifying Functions & Relations (2 of 2: 1-to-Many, Many-to-Many)

More resources available at www.misterwootube.com

From playlist Working with Functions

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Control Your Emotions

Here I'll show you how to control your emotions, eliminate negative thoughts, empower yourself, explain how the mind stores memories and much more. The article can be found here http://bit.ly/dsehIv Leave a question and I'll answer yours next.

From playlist Psychology Tutorials

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Creating and Using Entanglement (ICTS-IISc Joint Colloquium)

Discussion Meeting: Entanglement from Gravity(URL: http://www.icts.res.in/discussion_meeting/EG2014/) Dates: Wednesday 10 Dec, 2014 - Friday 12 Dec, 2014 Description: In the last few years, quantum entanglement considerations have led to profound insights in the connection with gravity.

From playlist Discussion Meeting: Entanglement from Gravity

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CERIAS Security: Hidden Access Control Policies with Hidden Credentials 1/5

Clip 1/5 Speaker: Keith Frikken · Purdue University In an open environment such as the Internet, the decision to collaborate with a stranger (e.g., by granting access to a resource) is often based on the characteristics (rather than the identity) of the requester, via digital credenti

From playlist The CERIAS Security Seminars 2005 (2)

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Richard Lassaigne: Introduction à la théorie de la complexité

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Mathematical Aspects of Computer Science

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Multivariable Calculus | What is a vector field.

We introduce the notion of a vector field and give some graphical examples. We also define a conservative vector field with examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Adjusted winner procedure | Envy-graph procedure | Round-robin item allocation | Utilitarian cake-cutting | Mathematics of apportionment | Equitable cake-cutting | Utilitarian rule | Fair division | Egalitarian rule | Fair cake-cutting | Independence of irrelevant alternatives | Picking sequence | Leximin order | Divide and choose | Kalai–Smorodinsky bargaining solution | House monotonicity | Fair item allocation