In measure theory, or at least in the approach to it via the domain theory, a valuation is a map from the class of open sets of a topological space to the set of positive real numbers including infinity, with certain properties. It is a concept closely related to that of a measure, and as such, it finds applications in measure theory, probability theory, and theoretical computer science. (Wikipedia).
Measure Theory 1.1 : Definition and Introduction
In this video, I discuss the intuition behind measures, and the definition of a general measure. I also introduce the Lebesgue Measure, without proving that it is indeed a measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
Measure Theory - Part 3 - What is a measure?
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From playlist Measure Theory
Math 101 091117 Introduction to Analysis 05 Absolute Value
Absolute value: definition. Notion of distance. Properties of the absolute value: proofs. Triangle inequality
From playlist Course 6: Introduction to Analysis (Fall 2017)
(PP 1.4) Measure theory: Examples of Measures
Some examples of probability measures. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4 You can skip the measure theory (Section 1) if you're not interested in the rigorous underpinnings. If you choose to do th
From playlist Probability Theory
Absolute versus relative measurements in geometry | Rational Geometry Math Foundations 134
In science and ordinary life, the distinction between absolute and relative measurements is very useful. It turns out that in mathematics this is also an important distinction. We must be prepared that some aspects of mathematics are more naturally measured relatively, rather than absolute
From playlist Math Foundations
A tour of globally valued fields - E. Hrushovski - Workshop 3 - CEB T1 2018
Ehud Hrushovski (Oxford) / 26.03.2018 A tour of globally valued fields This will be a gentle introduction to the emerging model theory of GVFs, using a number of specific formulas as examples. ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour sui
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Andrea Colesanti: An overview on a young research topic: valuations on spaces of functions
I will start from the theory of valuations on convex bodies, which for me was the main motivation to study corresponding functionals in an analytic setting. Then I will devote some time to the notion of valuations on a space of functions. After a general review on this topic, I will descri
From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability
Jochen Koenigsmann : Galois codes for arithmetic and geometry via the power of valuation theory
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 Algebra
Kevin Buzzard (lecture 5/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
Stanislav Nagy: Quantiles, depth, and symmetries: Geometry in multivariate statistics
There are tools of multivariate statistics with natural counterparts in geometry. We examine these connections and outline the amount of research that has been conducted in parallel in the two fields. Advances from geometry allow us to approach problems in multivariate statistics that were
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
Multi-valued algebraically closed fields are NTP₂ - W. Johnson - Workshop 2 - CEB T1 2018
Will Johnson (Niantic) / 05.03.2018 Multi-valued algebraically closed fields are NTP₂. Consider the expansion of an algebraically closed field K by 𝑛 arbitrary valuation rings (encoded as unary predicates). We show that the resulting structure does not have the second tree property, and
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
CTNT 2020 - Upper Ramification Groups for Arbitrary Valuation Rings - Vaidehee Thatte
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Conference Videos
Mark Meckes: Magnitude and intrinsic volumes in subspaces of L1
Magnitude is an isometric invariant of metric spaces, with origins in category theory, which turns out to be related to a wide variety of classical geometric invariants, including Minkowski dimension, volume, and surface measure. For convex bodies in ln1 , magnitude turns out to be an l1 a
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
Abraham Robinson’s legacy in model theory and (...) - L. Van den Dries - Workshop 3 - CEB T1 2018
Lou Van den Dries (University of Illinois, Urbana) / 27.03.2018 Abraham Robinson’s legacy in model theory and its applications ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHe
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Padma Srinivasan - Conductors and minimal discriminants of hyperelliptic curves - AGONIZE conference
Conductors and minimal discriminants are two measures of degeneracy of the singular fiber in a family of hyperelliptic curves. In genus one, the Ogg–Saito formula shows that these two invariants are equal, and in genus two, Qing Liu showed that they are related by an inequality. In this ta
From playlist Arithmetic Geometry is ONline In Zoom, Everyone (AGONIZE)
Intoduction to Financial Modeling | Financial Modeling Tutorial | What is Financial Modeling
This Financial Modeling tutorial helps you to learn financial modeling with examples. This video is ideal for beginners to learn the basics of financial modeling. To attend a live session, click here: http://goo.gl/0vZIOF This video helps you learn: • Why Financial Modeling ? • Cours
From playlist Webinars by Edureka!
Learn how to evaluate left and right hand limits of a function
👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val
From playlist Evaluate Limits of Absolute Value
An atomic norm perspective on total variation regularization ... - Duval - Workshop 1 - CEB T1 2019
Duval (INRIA) / 06.02.2019 An atomic norm perspective on total variation regularization in image processing It is folklore knowledge that the total (gradient) variation regularization tends to promote piecewise constant ``cartoon-like'' images. In this talk I will relate that property t
From playlist 2019 - T1 - The Mathematics of Imaging