Geometric measurement | Applied mathematics | Electron microscopy

Geometric phase analysis

Geometric phase analysis is a method of digital signal processing used to determine crystallographic quantities such as d-spacing or strain from high-resolution transmission electron microscope images. The analysis needs to be performed using specialized computer program. (Wikipedia).

Geometric phase analysis
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Geometric Algebra - The Matrix Representation of a Linear Transformation

In this video, we will show how matrices as computational tools may conveniently represent the action of a linear transformation upon a given basis. We will prove that conventional matrix operations, particularly matrix multiplication, conform to the composition of linear transformations.

From playlist Geometric Algebra

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Determining the sum of a geometric sum when there is no sum

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term

From playlist Series

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Geometric Algebra - Linear Transformations, Outermorphism, and the Determinant

In this video, we will review some basic concepts from linear algebra, such as the linear transformation, prove important theorems which ground matrix operations, extend the linear transformation on vectors to higher-graded elements to bivectors and trivectors, and define the determinant o

From playlist Geometric Algebra

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Learn how to determine the sum of a geometric finite series

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term

From playlist Series

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How to determine the sum of an finite geometric series

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term

From playlist Series

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Evaluating the partial sum of a geometric series

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term

From playlist Series

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Find the partial sum of the geometric series

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term

From playlist Series

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What is the definition of a geometric sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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Seminar In the Analysis and Methods of PDE (SIAM PDE): Felix Otto

Date: September 3, 2020 Speaker: Felix Otto Title: The thresholding scheme for mean curvature flow and De Giorgi's ideas for gradient flows Abstract: Flow of interfaces by mean curvature, in its multi-phase version, was first formulated in the context of grain growth in polycrystalline

From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)

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GRCon20 - Software defined radio based Global Navigation Satellite System real time spoofing....

Software defined radio based Global Navigation Satellite System real time spoofing detection and cancellation Presented by Jean-Michel Friedt,, D. Rabus and G. Goavec-Merou at GNU Radio Conference 2020 https://gnuradio.org/grcon20 Global Navigation Satellite Systems (GNSS) -- most signif

From playlist GRCon 2020

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Eun-Ah Kim - Machine Learning for Quantum Simulation - IPAM at UCLA

Recorded 15 April 2022. Eun-Ah Kim of Cornell University presents "Machine Learning for Quantum Simulation" at IPAM's Model Reduction in Quantum Mechanics Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/workshop-ii-model-reduction-in-quantum-mechanics/?tab=sched

From playlist 2022 Model Reduction in Quantum Mechanics Workshop

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Geometric Methods for Orbit Integration - Scott Tremaine

Geometric Methods for Orbit Integration Scott Tremaine Institute for Advanced Study July 14, 2009

From playlist PiTP 2009

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Nontrivial quantum oscillation geometric phase shift in a trivial band by Mandar Deshmuk

DISCUSSION MEETING : GEOMETRIC PHASES IN OPTICS AND TOPOLOGICAL MATTER ORGANIZERS : Subhro Bhattacharjee, Joseph Samuel and Supurna Sinha DATE : 21 January 2020 to 24 January 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore This is a joint ICTS-RRI Discussion Meeting on the geometric

From playlist Geometric Phases in Optics and Topological Matter 2020

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mod-29 lec-30 Design Analysis of ORBIT Motor - II : Geometric Volume Displacement

Fundamentals of Industrial Oil Hydraulics and Pneumatics by Prof. R.N. Maiti,Department of Mechanical Engineering,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Kharagpur: Fundamentals of Industrial Oil Hydraulics and Pneumatics (CosmoLearning Mechanical Engineering)

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Ruixiang Zhang (IAS): A stationary set method for estimating oscillatory integrals

In this talk, I will introduce a "stationary set" method that gives an upper bound with simple geometric meaning. The proof of this bound mainly relies on the theory of o-minimal structures. As an application of our bound, we obtain the sharp convergence exponent in the two dimensional Tar

From playlist Seminar Series "Harmonic Analysis from the Edge"

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The Real Reason Complex Numbers are Useful!

Have you ever wondered why complex numbers are so effective? It's because of geometry! 00:00 Intro 02:06 How can numbers have "phase"? 05:19 Deriving the complex numbers 13:02 What about Euler's Formula? 14:18 Application: Fourier series 16:09 Closing remarks This is a submission f

From playlist Summer of Math Exposition 2 videos

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How to determine the rule for a geometric sequence given two values

👉 Learn how to write the explicit formula for a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which each term of the sequence is obtained by multi

From playlist Sequences

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Mod-05 Lec-25 2 by 2 systems and Phase Plane Analysis

Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.

From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics

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Digital signal processing | Complex number | Reciprocal lattice | Selected area diffraction | Fourier transform | High-resolution transmission electron microscopy | CrysTBox