Mathematical concepts | Mathematical terminology
In mathematics, cyclical monotonicity is a generalization of the notion of monotonicity to the case of vector-valued function. (Wikipedia).
Calculus 2: Infinite Sequences and Series (22 of 62) What is a Monotonic Sequence?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and give examples of what is a monotonic sequence. Next video in the series can be seen at: https://youtu.be/_WsCqnDNFOc
From playlist CALCULUS 2 CH 14 SERIES AND SEQUENCES
Math 031 031017 Monotone Sequence Theorem
The rational numbers have holes: square root of 2 is irrational. Bounded sequences; bounded above, bounded below. Q. Does bounded imply convergent? (No.) Q. Does convergent imply bounded? (Yes.) Proof that convergent implies bounded. Statement of Monotone Sequence Theorem. Definition
From playlist Course 3: Calculus II (Spring 2017)
Using the monotonicity theorem to determine when a function is increasing or decreasing.
From playlist Calculus
What is the definition of a monomial and polynomials with examples
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Classify Polynomials
Monotonicity of the Riemann zeta function and related functions - P Zvengrowski [2012]
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences May 17, 2012 14:00, St. Petersburg, POMI, room 311 (27 Fontanka) Monotonicity of the Riemann zeta function and related functions P. Zvengrowski University o
From playlist Number Theory
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
Shiri Artstein-Avidan: On optimal transport with respect to non traditional costs
Shiri Artstein-Avidan (University of Tel Aviv) On optimal transport with respect to non traditional costs After a short review of the topic of optimal transport, introducing the c-transform and c-subgradients, we will dive into the intricacies of transportation with respect to a cost wh
From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability
Eighteenth SIAM Activity Group on FME Virtual Talk
Date: Thursday, March 4, 2021, 1PM-2PM Speaker: Marcel Nutz, Columbia University Title: Entropic Optimal Transport Abstract: Applied optimal transport is flourishing after computational advances have enabled its use in real-world problems with large data sets. Entropic regularization is
From playlist SIAM Activity Group on FME Virtual Talk Series
Entropic Optimal Transport - Prof. Marcel Nutz
A workshop to commemorate the centenary of publication of Frank Knight’s "Risk, Uncertainty, and Profit" and John Maynard Keynes’ “A Treatise on Probability” This workshop is organised by the University of Oxford and supported by The Alan Turing Institute. For further details and regular
From playlist Uncertainty and Risk
Monotonic Sequences and Bounded Sequences - Calculus 2
This calculus 2 video tutorial provides a basic introduction into monotonic sequences and bounded sequences. A monotonic sequence is a sequence that is always increasing or decreasing. You can prove that a sequence is always increasing by showing that the next term is greater than the p
From playlist New Calculus Video Playlist
How to Multiply a Monomial by a Trinomial Using Distributive Property
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the rules of exponents to add the powers of each variable.
From playlist How to Multiply Polynomials
Gaëtan Borot: Maps, Hurwitz numbers and formulas for free probability at all genera
HYBRID EVENT Recorded during the meeting "Random Geometry" the January 18, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics
From playlist Probability and Statistics
Ergün Yalcin: Representation rings for fusion systems and dimension functions
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: Workshop "Fusion systems and equivariant algebraic topology"
From playlist HIM Lectures: Junior Trimester Program "Topology"
Stefan Weltge: Lattice-free simplices with lattice width 2d - o(d)
The Flatness theorem states that the maximum lattice width Flt(d) of a d-dimensional lattice-free convex set is nite. It is the key ingredient for Lenstra's algorithm for integer programming in xed dimension, and much work has been done to obtain bounds on Flt(d). While most results have b
From playlist Workshop: Parametrized complexity and discrete optimization
Kathryn Mann: Orderability and groups of homeomorphisms of the circle
Abstract: As a counterpart to Deroin's minicourse, we discuss actions of groups on the circle in the C0 setting. Here, many dynamical properties of an action can be encoded by the algebraic data of a left-invariant circular order on the group. I will highlight rigidity and flexibility phen
From playlist Dynamical Systems and Ordinary Differential Equations
Aspects of Entanglement Entropy under Local Excitations in CFTs by Tadashi Takayanagi
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/C
From playlist AdS/CFT at 20 and Beyond
Heikki Jylhä: L∞ estimates in optimal transport
It is well-known that for finite p the Lp transportation distances Wp metrize the weak convergence of probability measures (up to a convergence of p-th moments). However, the same result does not hold for the L∞ transportation distance W∞. In light of this, we may ask whether convergence i
From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"
What does it mean to be a "Linear" Differential Equation?
This video explores what it means for a differential equation to be linear. Specifically we discuss the importance of linear superposition and give examples of linear and nonlinear operators and differential equations. Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3
From playlist Engineering Math: Differential Equations and Dynamical Systems
How to Multiply Two Monomials by a Trinomial and Binomial
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the rules of exponents to add the powers of each variable.
From playlist How to Multiply Polynomials
Lec 5 | MIT 6.01SC Introduction to Electrical Engineering and Computer Science I, Spring 2011
Lecture 5: Characterizing System Performance Instructor: Dennis Freeman View the complete course: http://ocw.mit.edu/6-01SCS11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.01SC Introduction to EECS I