Order theory | Functional analysis | Real analysis | Types of functions
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory. (Wikipedia).
Using the monotonicity theorem to determine when a function is increasing or decreasing.
From playlist Calculus
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
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
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
Transcendental Functions 3 Examples using Properties of Logarithms.mov
Examples using the properties of logarithms.
From playlist Transcendental Functions
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)
Transcendental Functions 19 The Function a to the power x.mp4
The function a to the power x.
From playlist Transcendental Functions
Multivariable maxima and minima
A description of maxima and minima of multivariable functions, what they look like, and a little bit about how to find them.
From playlist Multivariable calculus
Determine if a Function is a Polynomial Function
This video explains how to determine if a function is a polynomial function. http://mathispower4u.com
From playlist Determining the Characteristics of Polynomial Functions
Monotone Arithmetic Circuit Lower Bounds Via Communication Complexity - Arkadev Chattopadhyay
Computer Science/Discrete Mathematics Seminar I Topic: Monotone Arithmetic Circuit Lower Bounds Via Communication Complexity Speaker: Arkadev Chattopadhyay Affiliation: Tata Institute of Fundamental Research Date: February 15, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
A polynomial lower bound for monotonicity testing...- Rocco Servedio
Rocco Servedio Columbia University March 31, 2014 We prove a Ω̃ (n1/5)Ω~(n1/5) lower bound on the query complexity of any non-adaptive two-sided error algorithm for testing whether an unknown n-variable Boolean function is monotone versus constant-far from monotone. This gives an exponenti
From playlist Mathematics
Adventures in Monotone Complexity - Mika Göös
Short talks by postdoctoral members Topic: Adventures in Monotone Complexity Speaker: Mika Göös Affiliation: Member, School of Mathematics Date: September 26, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Seffi Naor: Recent Results on Maximizing Submodular Functions
I will survey recent progress on submodular maximization, both constrained and unconstrained, and for both monotone and non-monotone submodular functions. The lecture was held within the framework of the Hausdorff Trimester Program: Combinatorial Optimization.
From playlist HIM Lectures 2015
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
Calculus II - 9.1.3 Monotonic and Bounded Sequences
A closer look at what a monotonic or bounded sequence looks like, and what we can conclude if a sequence has both properties. Calculus I playlist corresponds to chapters 1-5 of Calculus 11e, Larson, Edwards: https://www.youtube.com/playlist?list=PLl-gb0E4MII1ml6mys-RXoQ0O3GfwBPVM Calcul
From playlist Calculus II (Entire Course)
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
Measure Theory - Part 8 - Monotone convergence theorem (Proof and application) [dark version]
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From playlist Measure Theory [dark version]
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
11_3_6 Continuity and Differentiablility
Prerequisites for continuity. What criteria need to be fulfilled to call a multivariable function continuous.
From playlist Advanced Calculus / Multivariable Calculus
1 + 2 + 3 + 4 + 5 + 6 + ... = –1/12 | Six proofs | Divergent Series
This video presents six proofs of the famous sum of the monotonic divergent series of natural numbers 1 + 2 + 3 + 4 + 5 + 6 + ... = –1/12 00:00 Introduction 00:15 Proof 1 – Generating Function 03:49 Proof 2 – Direct Calculation 06:50 Proof 3 – Intercept Function 11:13 Proof 4 – Partia
From playlist Summer of Math Exposition 2 videos