In control theory, it is often required to check if a is stable or not. To cope with this it is necessary to use some special comparison functions. Class functions belong to this family: Definition: a continuous function is said to belong to class if: * it is strictly increasing; * it is s.t. . In fact, this is nothing but the definition of the norm except for the triangular inequality. Definition: a continuous function is said to belong to class if: * it belongs to class ; * it is s.t. ; * it is s.t. . A nondecreasing positive definite function satisfying all conditions of class other than being strictly increasing can be upper and lower bounded by class functions as follows: Thus, to proceed with the appropriate analysis, it suffices to bound the function of interest with continuous nonincreasing positive definite functions.In other words, when a function belongs to the it means that the function is radially unbounded. (Wikipedia).
In this video, I talk about the definition of a function and properties of functions. I also go over some examples of how to determine whether a relation is a function or not and how to evaluate functions. Enjoy! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://
From playlist College Algebra
Linear classifiers (2): Learning parameters
Perceptron algorithm, logistic regression, and surrogate loss functions
From playlist cs273a
Represent a Discrete Function Using Ordered Pairs, a Table, and Function Notation
This video explains how to represent a discrete function given as points as ordered pairs, a table, and using function notation. http://mathispower4u.com
From playlist Introduction to Functions: Function Basics
Programming Terms: First-Class Functions
In this programming terms video, we will be looking at the term "First-Class Function". First-class functions are extremely important to grasp because understanding them will help us understand more complicated terms such as: Closures, Higher-order functions, currying, and more. We will be
From playlist Programming Terms
Pre-Calculus - Vocabulary of functions
This video describes some of the vocabulary used with functions. Specifically it covers what a function is as well as the basic idea behind its domain and range. For more videos visit http://www.mysecretmathtutor.com
From playlist Pre-Calculus - Functions
Describing Functions (Discrete Math)
This video covered the various ways to describe functions in a discrete math class.
From playlist Functions (Discrete Math)
LAMBDA Functions: Powerful And Elegant Abstractions
Python’s lambda, a tiny anonymous function, can be useful in a pinch when you’re feeling too lazy to type that extra d-e-f. But did you know that behind this little lambda is actually one of the most powerful & elegant abstractions in the history of computer science? The lambda calculus,
From playlist Functional Programming
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra
Anabelian Geometry - Kummer Classes
To functions f we associate cohomology classes. Using galois sections we can evaluate these functions. Recovering the Kummer classes of the jacobi theta function
From playlist Anabelian Geometry
On PC-exact saturation - I. Kaplan - Workshop 3 - CEB T1 2018
Itay Kaplan (Hebrew University, Jerusalem) / 30.03.2018 On PC-exact saturation (joint work with Nick Ramsey and Saharon Shelah) A theory T is said to have exact saturation at a (usually singular) cardinal κ if there is a model which is κ- saturated but not κ +- saturated. T has PC-exact
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Tasho Kaletha - 1/2 A Brief Introduction to the Trace Formula and its Stabilization
We will discuss the derivation of the stable Arthur-Selberg trace formula. In the first lecture we will focus on anisotropic reductive groups, for which the trace formula can be derived easily. We will then discuss the stabilization of this trace formula, which is unconditional on the geom
From playlist 2022 Summer School on the Langlands program
Sub-Weyl Subconvexity and Short p-Adic Exponential Sums - Djordje Milicevic
Djordje Milicevic April 17, 2012 One of the principal questions about L-functions is the size of their critical values. In this talk, we will present a new subconvexity bound for the central value of a Dirichlet L-function of a character to a prime power modulus, which breaks a long-standi
From playlist Mathematics
Stanford EE104: Introduction to Machine Learning | 2020 | Lecture 13 - erm for classifiers
Professor Sanjay Lall Electrical Engineering To follow along with the course schedule and syllabus, visit: http://ee104.stanford.edu To view all online courses and programs offered by Stanford, visit: https://online.stanford.edu/
From playlist Stanford EE104: Introduction to Machine Learning Full Course
Yilin Wang - 2/4 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)
The Loewner energy for Jordan curves first arises from the large deviations of Schramm-Loewner evolution (SLE), a family of random fractal curves modeling interfaces in 2D statistical mechanics. In a certain way, this energy measures the roundness of a Jordan curve, and we show that it is
From playlist Yilin Wang - The Loewner Energy at the Crossroad of Random Conformal Geometry and Teichmueller Theory
Introduction To Beilinson--Kato Elements And Their Applications 3 by Chan-Ho Kim
PROGRAM : ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (ONLINE) ORGANIZERS : Ashay Burungale (California Institute of Technology, USA), Haruzo Hida (University of California, Los Angeles, USA), Somnath Jha (IIT - Kanpur, India) and Ye Tian (Chinese Academy of Sciences, China) DA
From playlist Elliptic Curves and the Special Values of L-functions (ONLINE)
Bao Chau Ngo - 1/3 Orbital integrals, moduli spaces and invariant theory
The goal of these lectures is to sketch a general framework to study orbital integrals over equal characteristic local fields by means of moduli spaces of Hitchin type following the main lines of the proof of the fundamental lemma for Lie algebras. After recalling basic elements of the pro
From playlist 2022 Summer School on the Langlands program
Stanford EE104: Introduction to Machine Learning | 2020 | Lecture 12 - classifiers
Professor Sanjay Lall Electrical Engineering To follow along with the course schedule and syllabus, visit: http://ee104.stanford.edu To view all online courses and programs offered by Stanford, visit: https://online.stanford.edu/ 0:00 Introduction 0:11 Categorical outputs 12:07 Applic
From playlist Stanford EE104: Introduction to Machine Learning Full Course