In functional analysis, the compression of a linear operator T on a Hilbert space to a subspace K is the operator , where is the orthogonal projection onto K. This is a natural way to obtain an operator on K from an operator on the whole Hilbert space. If K is an invariant subspace for T, then the compression of T to K is the restricted operator K→K sending k to Tk. More generally, for a linear operator T on a Hilbert space and an isometry V on a subspace of , define the compression of T to by , where is the adjoint of V. If T is a self-adjoint operator, then the compression is also self-adjoint.When V is replaced by the inclusion map , , and we acquire the special definition above. (Wikipedia).
Ex: Function Notation for Horizontal and Vertical Stretches and Compressions
This video explains how to recognize a horizontal and vertical compression or stretch using function notation. Site: http://mathispower4u.com
From playlist Determining Transformations of Functions
Determine a Horizontal Stretch or Horizontal Compression
This video provides two examples of how to express a horizontal stretch or compression using function notation. Site: http://mathispower4u.com
From playlist Determining Transformations of Functions
Determine a Vertical Stretch or Vertical Compression
This video provides two examples of how to express a vertical stretch or compression using function notation. Site: http://mathispower4u.com
From playlist Determining Transformations of Functions
Ex: Identify Horizontal and Vertical Stretches and Compressions -- Function Notation
This video explains how to recognize a horizontal and vertical compression or stretch using function notation. Site: http://mathispower4u.com
From playlist Determining Transformations of Functions
SA23: Virtual Work Method (Frames)
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/ In addition to updated, expanded, and better organized video lectures, the course contains quizzes and other learning content. Solution
From playlist Dr. Structure: Structural Analysis Video Lectures
What is length contraction? Length contraction gives the second piece (along with time dilation) of the puzzle that allows us to reconcile the fact that the speed of light is constant in all reference frames.
From playlist Relativity
Mechanical Engineering: Trusses, Bridges & Other Structures (28 of 34) Tension vs Compression 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will determine which member of a structure is under compression or tension using connections and rotations, example 2. Next video in this series can be seen at:https://youtu.be/NkkyjsriZLI
From playlist MECHANICAL ENGINEERING 8 TRUSSES AND BRIDGES
Physics - Mechanics: Stress and Strain (4 of 16) Bone Strength
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the compression and tensile stress of a human bone.
From playlist PHYSICS 10.5 STRESS AND STRAIN
Function Transformations: Horizontal and Vertical Stretches and Compressions
This video explains to graph graph horizontal and vertical stretches and compressions in the form a*f(b(x-c))+d. This video looks at how a and b affect the graph of f(x). http://mathispower4u.wordpress.com/
From playlist Determining Transformations of Functions
DSI | Neural Representations for Volume Visualization by Josh Levine
In this talk, I will describe two projects, both joint work with collaborators at Vanderbilt University. The first project studies how generative neural models can be used to model the process of volume rendering scalar fields. We construct a generative adversarial network that learns th
From playlist DSI Virtual Seminar Series
What We've Learned from NKS Chapter 10: Processes of Perception and Analysis
In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th
From playlist Science and Research Livestreams
Holger Rauhut: Compressive sensing with time-frequency structured random matrices
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 30 years of wavelets
Lecture with Ole Christensen. Kapitler: 00:00 - Repetition: The Construction Of Wavelet Onb; 08:30 - Example: The Haar Mra/Wavelet; 12:30 - More Efficient Compression; 13:30 - Vanishing Moments; 18:00 - Theorem 8.3.3 (Application Of Vanishing Moments); 24:30 - Interpretation Of Thrm 8.3.3;
From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math
Ingrid Daubechies: Wavelet bases: roots, surprises and applications
This lecture was held by Ingrid Daubechies at The University of Oslo, May 24, 2017 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Ingrid Daubechies is a Belgian physicist and mathematician. She is best known for her work with wavelets in imag
From playlist Abel Lectures
Understanding Wavelets, Part 2: Types of Wavelet Transforms
Explore the workings of wavelet transforms in detail. •Try Wavelet Toolbox: https://goo.gl/m0ms9d •Ready to Buy: https://goo.gl/sMfoDr You will also learn important applications of using wavelet transforms with MATLAB®. Video Transcript: In the previous session, we discussed wavelet co
From playlist Understanding Wavelets
Lin Lin - Large scale hybrid DFT functionals: fast algorithms and finite-size effects - IPAM at UCLA
Recorded 02 May 2022. Lin Lin of the University of California, Berkeley, Mathematics, presents "Large scale hybrid DFT functionals: fast algorithms and finite-size effects" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Abstract: I will discuss recent prog
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
Dominique Unruh - The quantum random oracle model Part 2 of 2 - IPAM at UCLA
Recorded 28 July 2022. Dominique Unruh of Tartu State University presents "The quantum random oracle model II" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: The random oracle is a popular heuristic in classical security proofs that allows us to construct
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography
Ridge functions, their sums, and sparse additive functions – Jan Vybiral, Czech Technical University
Many problems in science and engineering involve an underlying unknown complex process that depends on a large number of parameters. The goal in many applications is to reconstruct, or learn, the unknown process given some direct or indirect observations. Mathematically, such a problem can
From playlist Approximating high dimensional functions
Learning how to identify compression and stretches of multiple functions
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks, etc. To sketch the graph of a transformed function, we s
From playlist Characteristics of Functions
Wavelets and Multiresolution Analysis
This video discusses the wavelet transform. The wavelet transform generalizes the Fourier transform and is better suited to multiscale data. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science an
From playlist Data-Driven Science and Engineering