Topology | Differential geometry | Digital geometry

Spectral shape analysis

Spectral shape analysis relies on the spectrum (eigenvalues and/or eigenfunctions) of the Laplace–Beltrami operator to compare and analyze geometric shapes. Since the spectrum of the Laplace–Beltrami operator is invariant under isometries, it is well suited for the analysis or retrieval of non-rigid shapes, i.e. bendable objects such as humans, animals, plants, etc. (Wikipedia).

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Teach Astronomy - Chemical Composition

http://www.teachastronomy.com/ Spectroscopy is the key to chemical composition to determining what a star is actually made of. There are two issues. One is detecting the presence of an element, and the second is the amount of that element. The presence of an element is determined by mea

From playlist 14. Stars

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Spectral Sequences 02: Spectral Sequence of a Filtered Complex

I like Ivan Mirovic's Course notes. http://people.math.umass.edu/~mirkovic/A.COURSE.notes/3.HomologicalAlgebra/HA/2.Spring06/C.pdf Also, Ravi Vakil's Foundations of Algebraic Geometry and the Stacks Project do this well as well.

From playlist Spectral Sequences

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Stellar Spectroscopy - what can we learn about stars

How can we determine properties of stars? By studying their spectra, we can learn a lot. This video covers, composition, temperature, density and motion See www.physicshigh.com for all my videos and other resources. If you like this video, please press the LIKE and SHARE with your peers.

From playlist Astronomy

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Elba Garcia-Failde - Quantisation of Spectral Curves of Arbitrary Rank and Genus via (...)

The topological recursion is a ubiquitous procedure that associates to some initial data called spectral curve, consisting of a Riemann surface and some extra data, a doubly indexed family of differentials on the curve, which often encode some enumerative geometric information, such as vol

From playlist Workshop on Quantum Geometry

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Evaluate the composition of sine and sine inverse

👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. We

From playlist Evaluate a Composition of Inverse Trigonometric Functions

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Elizabeth Munch (10/14/22): The directional transform

Title: The directional transform, or how to look at your data from every direction at once Abstract: The field of topological data analysis (TDA) has emerged as a robust method for measuring the shape of data. This field of research takes ideas from algebraic topology, in concert with id

From playlist AATRN/STMS

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Find the angle of depression using trigonometry

👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr

From playlist Evaluate Inverse Trigonometric Functions

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James Arthur: The Langlands program: arithmetic, geometry and analysis

Abstract: As the Abel Prize citation points out, the Langlands program represents a grand unified theory of mathematics. We shall try to explain in elementary terms what this means. We shall describe an age old question concerning the arithmetic prime numbers, together with a profound gene

From playlist Abel Lectures

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Find the angle of elevation when given the length of a shadow

👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr

From playlist Evaluate Inverse Trigonometric Functions

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Asymptotic Analysis of Spectral Problems in Thick Junctions with the Branched...by Taras Mel’nyk

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)

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Simulating data to understand analysis methods

This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.

From playlist NEW ANTS #1) Introductions

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Optimal shape and location of sensors or actuators in PDE models – Emmanuel Trélat – ICM2018

Control Theory and Optimization Invited Lecture 16.1 Optimal shape and location of sensors or actuators in PDE models Emmanuel Trélat Abstract: We report on a series of works done in collaboration with Y. Privat and E. Zuazua, concerning the problem of optimizing the shape and location o

From playlist Control Theory and Optimization

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Frank den Hollander: Annealed scaling for a charged polymer

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 Probability and Statistics

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Can we neglect relativistic temperature corrections in the Plank SZ analysis? by J. Chluba

Program Cosmology - The Next Decade ORGANIZERS : Rishi Khatri, Subha Majumdar and Aseem Paranjape DATE : 03 January 2019 to 25 January 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The great observational progress in cosmology has revealed some very intriguing puzzles, the most i

From playlist Cosmology - The Next Decade

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Convolution as spectral multiplication

This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.

From playlist NEW ANTS #3) Time-frequency analysis

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Neuroscience source separation 1b: Spectral separation in MATLAB

This is part one of a three-part lecture series I taught in a masters-level neuroscience course in fall of 2020 at the Donders Institute (the Netherlands). The lectures were all online in order to minimize the spread of the coronavirus. That's good for you, because now you can watch the en

From playlist Neuroscience source separation (3-part lecture series)

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Lecture 7.5: Hynek Hermansky - Auditory Perception in Speech Technology, Part 2

MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015 View the complete course: https://ocw.mit.edu/RES-9-003SU15 Instructor: Hynek Hermansky Integrating insights from human auditory perception and speech generation into the development of speech production and recognition t

From playlist MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015

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Alexander Moll: A new spectral theory for Schur polynomials and applications

Abstract: After Fourier series, the quantum Hopf-Burgers equation vt+vvx=0 with periodic boundary conditions is equivalent to a system of coupled quantum harmonic oscillators, which may be prepared in Glauber's coherent states as initial conditions. Sending the displacement of each oscilla

From playlist Combinatorics

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The Two-Dimensional Discrete Fourier Transform

The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen

From playlist Fourier

Related pages

Polygon mesh | Discrete Laplace operator | Shape analysis (digital geometry) | Spherical harmonics | Eigenfunction | Divergence | Voxel | Laplace–Beltrami operator | Triangle mesh | Neumann boundary condition | Gradient | Isometry | Riemannian manifold | Heat equation | Wave equation | Tetrahedron | Heat kernel | Helmholtz equation