Applied mathematics

Fourier shell correlation

In structural biology, as well as in virtually all sciences that produce three-dimensional data, the Fourier shell correlation (FSC) measures the normalised cross-correlation coefficient between two 3-dimensional volumes over corresponding shells in Fourier space (i.e., as a function of spatial frequency). The FSC is the three-dimensional extension of the two-dimensional Fourier ring correlation (FRC); also known as: spatial frequency correlation function. (Wikipedia).

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To Understand the Fourier Transform, Start From Quantum Mechanics

Develop a deep understanding of the Fourier transform by appreciating the critical role it plays in quantum mechanics! Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up Sign up for my newsletter for additional physics lessons: https://www.physicswithelliot.c

From playlist Physics Mini Lessons

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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

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The Fourier Transform and Derivatives

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow

From playlist Fourier

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Fourier Series: Part 2

This video will show how to approximate a function with a Fourier series, which is an infinite sum of sines and cosines. We will discuss how these sines and cosines form a basis for the space of functions. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pd

From playlist Fourier

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Fourier Transforms: Discrete Fourier Transform, Part 3

Data Science for Biologists Fourier Transforms: Discrete Fourier Transform Part 3 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton

From playlist Fourier

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What is the Fourier Transform?

In this video, we'll look at the fourier transform from a slightly different perspective than normal, and see how it can be used to estimate functions. Learn about the Fourier series here: http://youtu.be/kP02nBNtjrU

From playlist Fourier

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Intro to Fourier series and how to calculate them

Download the free PDF from http://tinyurl.com/EngMathYT This is a basic introduction to Fourier series and how to calculate them. An example is presented that illustrates the computations involved. Such ideas are seen in university mathematics.

From playlist Fourier

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Multi-mode Correlations in Turbulence by Gregory Falkovich

PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE: 16 January 2023 to 27 January 2023 VENUE: Ramanuja

From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023

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Fourier Transform

What is a Fourier Transform and how does it relate to the Fourier Series? In this video, we discuss the idea of the Fourier Cosine Transform.

From playlist Mathematical Physics II Uploads

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Mechanical Fourier Machine

For more content: https://www.dev-mind.blog/ The wood circles represents the terms in the series. The "size" of the circle is the magnitude of the corresponding coefficient. The initial angle is the phase of the coefficient. Each circle spins with an increasing speed (frequency). In this

From playlist Fourier

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Turbulent superstructures in Rayleigh-Benard convection by Ambrish Pandey

Summer school and Discussion Meeting on Buoyancy-driven flows DATE: 12 June 2017 to 20 June 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Buoyancy plays a major role in the dynamics of atmosphere and interiors of planets and stars, as well as in engineering applications. This field

From playlist Summer school and Discussion Meeting on Buoyancy-driven flows

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Quantum chaos, random matrices and statistical physics (Lecture 03) by Arul Lakshminarayan

ORGANIZERS: Abhishek Dhar and Sanjib Sabhapandit DATE: 27 June 2018 to 13 July 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the ninth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in

From playlist Bangalore School on Statistical Physics - IX (2018)

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Universal Stress Correlations in Crystalline and Amorphous Packings by Kabir Ramola

DISCUSSION MEETING 8TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay (RRI, India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Samriddhi Sankar Ray (ICTS-TIFR, India), Sanjib Sabhapandit (RRI, India) and Prer

From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023

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Suvrat Raju - Local operators, black hole interiors and the information paradox in AdS CFT (1)

PROGRAM: THE 8TH ASIAN WINTER SCHOOL ON STRINGS, PARTICLES AND COSMOLOGY DATES: Thursday 09 Jan, 2014 - Saturday 18 Jan, 2014 VENUE: Blue Lily Hotel, Puri PROGRAM LINK: http://www.icts.res.in/program/asian8 The 8th Asian Winter School on Strings, Particles and Cosmology is part of a seri

From playlist The 8th Asian Winter School on Strings, Particles and Cosmology

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Peter Sarnak, Summation formulae in spectral theory and number theory [2021]

A talk in honor of Zeev Rudnick's 60th birthday Peter Sarnak, Summation formulae in spectral theory and number theory (Institute for Advanced Study and Princeton University) Abstract: The Poisson Summation formula, Riemann-Guinand-Weil explicit formula, Selberg Trace Formula and Lefsche

From playlist Number Theory

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Colin Ophus - Multi-dimensional scanning transmission electron microscopy to solve 3D nanostructures

Recorded 24 October 2022. Colin Ophus of Lawrence Berkeley Laboratory presents "Using multi-dimensional scanning transmission electron microscopy to solve 3D nanostructures using atomic electron tomography" at IPAM's Mathematical Advances for Multi-Dimensional Microscopy Workshop. Abstract

From playlist 2022 Mathematical Advances for Multi-Dimensional Microscopy

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10. Perturbative Renormalization Group Part 2

MIT 8.334 Statistical Mechanics II: Statistical Physics of Fields, Spring 2014 View the complete course: http://ocw.mit.edu/8-334S14 Instructor: Mehran Kardar In this lecture, Prof. Kardar continues his discussion on the Perturbative Renormalization Group, including Perturbative RG (First

From playlist MIT 8.334 Statistical Mechanics II, Spring 2014

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The Fourier Transform

This video will discuss the Fourier Transform, which is one of the most important coordinate transformations in all of science and engineering. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science an

From playlist Fourier

Related pages

Cross-correlation