Banach spaces | Sobolev spaces | Fourier analysis
In the field of mathematical analysis, an interpolation space is a space which lies "in between" two other Banach spaces. The main applications are in Sobolev spaces, where spaces of functions that have a noninteger number of derivatives are interpolated from the spaces of functions with integer number of derivatives. (Wikipedia).
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From playlist Science Unplugged: Special Relativity
Programming Terms: String Interpolation
In this programming terms video, we will be going over string interpolation. String interpolation is the process of evaluating a string containing one or more placeholders and yielding a result in which the placeholders are replaced with their corresponding values. Let's take a look at thi
From playlist Programming Terms
Maryna Viazovska (EPFL): Fourier interpolation
This lecture is about Fourier uniqueness and Fourier interpolation pairs. Suppose that we have two subsets X and Y of the Euclidean space. Can we reconstruct a function f from its restriction to the set X and the restriction of its Fourier transform to the set Y? We are interested in the p
From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"
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From playlist Science Unplugged: Physics
Covariant Phase Space with Boundaries - Daniel Harlow
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From playlist Natural Sciences
Intersection of Planes on Geogebra
In this video, we look at a strategy for finding the intersection of planes on Geogebra.
From playlist Geogebra
Dual Lagrange Interpolation In this video, I present the ultimate linear algebra application: Using dual spaces, I derive one formula that includes both the midpoint rule, the trapezoidal rule, and Simpson's rule from calculus. This is really linear algebra at its finest, enjoy! Check ou
From playlist Dual Spaces
AI Animation - Stable Diffusion Interpolation
Just a selection of Stable Diffusion interpolations. See how the images change over time as one prompt and seed moves towards another! Includes faces, houses, rodents and trees đ
From playlist AI Animations
Geometric Algebra - Linear and Spherical Interpolation (LERP, SLERP, NLERP)
In this video, I'll derive the formulas for doing linear and spherical interpolations between two vectors. In deriving the latter formula, we will use rotors, an object used in geometric algebra. We will also discuss normalized linear interpolation and contrast it with spherical interpolat
From playlist Geometric Algebra
ACAI: Understanding and Improving Interpolation in Autoencoders via an Adversarial Regularizer
Toronto Deep Learning Series, 7-Feb-2019 For slides and more information, visit https://tdls.a-i.science/events/2019-02-07 UNDERSTANDING AND IMPROVING INTERPOLATION IN AUTOENCODERS VIA AN ADVERSARIAL REGULARIZER Autoencoders provide a powerful framework for learning compressed representa
From playlist Generative Models
Interpolations and Mappings with Applications in Image Processing
In this talk, Markus van Almsick reviews the most popular and most advanced interpolation methods and discusses their merits and shortcomings. The Wolfram Language provides many interpolation methods to construct continuous functions from discrete data points. Furthermore, interpolations a
From playlist Wolfram Technology Conference 2020
Lecture 17 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood begins his lecture on sampling and interpolation and discusses the associated properties. The Fourier transform is a tool for solving physical
From playlist Lecture Collection | The Fourier Transforms and Its Applications
Maryna Viazovska - 2/6 Automorphic Forms and Optimization in Euclidean Space
Hadamard Lectures 2019 The goal of this lecture course, âAutomorphic Forms and Optimization in Euclidean Spaceâ, is to prove the universal optimality of the E8 and Leech lattices. This theorem is the main result of a recent preprint âUniversal Optimality of the E8 and Leech Lattices and I
From playlist Hadamard Lectures 2019 - Maryna Viazovska - Automorphic Forms and Optimization in Euclidean Space
Lecture 07: Perspective Projection and Texture Mapping (CMU 15-462/662)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/
From playlist Computer Graphics (CMU 15-462/662)
Inkscape Interpolate Tutorial: Step-by-Step How to Create Retro 80s Perspective Grid
Inkscape step-by-step beginner, intermediate tutorial on how to make a retro 80's perspective grid effect using Inkscape's interpolation feature (Generate from Path- Interpolate) Follow along at your own pace and make something beautiful today: interpolated lines! My goal for this channel
From playlist Inkscape Intermediate Tutorials
Numerical Homogenization by Localized Orthogonal Decomposition (Lecture 2) by Daniel Peterseim
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
From Classical Statistics to Modern ML: the Lessons of Deep Learning - Mikhail Belkin
Workshop on Theory of Deep Learning: Where next? Topic: From Classical Statistics to Modern ML: the Lessons of Deep Learning Speaker: Mikhail Belkin Affiliation: Ohio State University Date: October 16, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
What is (a) Space? From Zero to Geo 1.5
What is space? In this video, we learn about the many different things that we might call "space". We come up with both a geometric and an algebraic definition, and the discussion also leads us to the important concept of subspaces. Sorry for how long this video took to make! I mention
From playlist From Zero to Geo