Optimization algorithms and methods | Computer graphics algorithms | Computational fluid dynamics
Level-set methods (LSM) are a conceptual framework for using level sets as a tool for numerical analysis of surfaces and shapes. The advantage of the level-set model is that one can perform numerical computations involving curves and surfaces on a fixed Cartesian grid without having to parameterize these objects (this is called the Eulerian approach). Also, the level-set method makes it very easy to follow shapes that change topology, for example, when a shape splits in two, develops holes, or the reverse of these operations. All these make the level-set method a great tool for modeling time-varying objects, like inflation of an airbag, or a drop of oil floating in water. The figure on the right illustrates several important ideas about the level-set method. In the upper-left corner we see a shape; that is, a bounded region with a well-behaved boundary. Below it, the red surface is the graph of a level set function determining this shape, and the flat blue region represents the xy plane. The boundary of the shape is then the zero-level set of , while the shape itself is the set of points in the plane for which is positive (interior of the shape) or zero (at the boundary). In the top row we see the shape changing its topology by splitting in two. It would be quite hard to describe this transformation numerically by parameterizing the boundary of the shape and following its evolution. One would need an algorithm able to detect the moment the shape splits in two, and then construct parameterizations for the two newly obtained curves. On the other hand, if we look at the bottom row, we see that the level set function merely translated downward. This is an example of when it can be much easier to work with a shape through its level-set function than with the shape directly, where using the shape directly would need to consider and handle all the possible deformations the shape might undergo. Thus, in two dimensions, the level-set method amounts to representing a closed curve (such as the shape boundary in our example) using an auxiliary function , called the level-set function. is represented as the zero-level set of by and the level-set method manipulates implicitly, through the function . This function is assumed to take positive values inside the region delimited by the curve and negative values outside. (Wikipedia).
This video defines set-builder notation and compares it to interval expressed graphically, using interval notation, and using inequalities. Site: http://mathispower4u.com
From playlist Using Interval Notation
Set Theory (Part 2): ZFC Axioms
Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their
From playlist Set Theory by Mathoma
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The power set of the power set of the power set of the empty set, we'll go over how to find just that in today's set theory video lesson! We'll also go over the power set of the empty set, the power set of the power set of the empty set, and we'll se the power set of the power set of the p
From playlist Set Theory
What is the Roster Method? (Roster Form) | Set Theory, Writing Sets, Expressing Sets
The roster method is one of several set notations you can use to write a set. It is perhaps the easiest understand, but is only useful for writing out sets when they are finite and small in size, or if they are dictated by an easy to describe pattern (that is finite or infinite). If you ar
From playlist Set Theory
Listing Subsets Using Tree Diagrams | Set Theory, Subsets, Power Sets
Here is a method for completely listing the subsets of a given set using tree diagrams. It's a handy way to make sure you don't miss any subsets when trying to find them. It's not super efficient, but it is reliable! The process is pretty simple, we begin with the empty set, and then branc
From playlist Set Theory
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This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
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In this video we introduce 6 of the axioms of ZFC set theory. My Twitter: https://twitter.com/KristapsBalodi3 Intro: (0:00) The Axiom of Existence: (2:39) The Axiom of Extensionality: (4:20) The Axiom Schema of Comprehension: (6:15) The Axiom of Pair (12:16) The Axiom of Union (15:15) T
From playlist Axiomatic Set Theory
Maximum and Minimum Values (Closed interval method)
A review of techniques for finding local and absolute extremes, including an application of the closed interval method
From playlist 241Fall13Ex3
Set Theory (Part 1): Notation and Operations
Please feel free to leave comments/questions on the video and practice problems below! In this video series, we'll explore the basics of set theory. I assume no experience with set theory in the video series and anyone who's "been around town" in math should understand the videos. To make
From playlist Set Theory by Mathoma
Lec 11 | MIT 18.086 Mathematical Methods for Engineers II
Level Set Method View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06
Sushmita Roy: "Regulatory network inference on developmental and evolutionary lineages"
Computational Genomics Winter Institute 2018 "Regulatory network inference on developmental and evolutionary lineages" Sushmita Roy, University of Wisconsin Madison Institute for Pure and Applied Mathematics, UCLA March 2, 2018 For more information: http://computationalgenomics.bioinfor
From playlist Computational Genomics Winter Institute 2018
Motion Estimation | Student Competition: Computer Vision Training
In this video, you will learn how to estimate motion between video frames using Optical Flow. Get files: https://bit.ly/2ZBy0q2 Explore the MATLAB and Simulink Robotics Arena: https://bit.ly/2yIgwfS -------------------------------------------------------------------------------------------
From playlist Student Competition: Computer Vision Training
Top JSP Interview Questions and Answers in 2020 | Java Server Pages | Java Training | Edureka
**Java, J2EE & SOA Certification Training - https://www.edureka.co/java-j2ee-soa-training ** This Edureka video on JSP interview questions will provide you with detailed knowledge about the frequently asked questions in the java developer interview process. JSP beginner level interview qu
From playlist Java Tutorial For Beginners | Edureka
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From playlist Programming for Designers - COMP1400-T2 (2011)
Lisa Nickerson - Addressing Confounds in Neuroimaging Machine Learning Predictions - IPAM at UCLA
Recorded 13 January 2023. Lisa Nickerson of Harvard Medical School presents "Addressing Confounds in Neuroimaging Machine Learning Predictions" at IPAM's Explainable AI for the Sciences: Towards Novel Insights Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/expl
From playlist 2023 Explainable AI for the Sciences: Towards Novel Insights
Lecture Lorenzo Pareschi: Uncertainty quantification for kinetic equations III
The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Abstract: In these lectures we overview some recent results in the field of uncertainty quantification for kinetic equations with random inputs. Uncertainties may be due to various reasons, like lack of kn
From playlist Summer School: Trails in kinetic theory: foundational aspects and numerical methods
Detailed Look at Pandas' Indexes - O'Reilly Webcasts
Pandas helps to alleviate a genuinely complex situation in data analytics libraries. Many incumbent languages aren't approachable or are fairly unproductive in general computing tasks in comparison to Python. However with Pandas it's easy to begin working with tabular datasets in a languag
From playlist O'Reilly Webcasts 3
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š„Edureka Java Certification Training: https://www.edureka.co/java-j2ee-training-course This Edureka video on JSP interview questions will provide you with detailed knowledge about the frequently asked questions in the java developer interview process. Check out our complete Youtube playli
From playlist Edureka Live Classes 2020
Building maintainable software for sustainable business growth: 8 best practices
Subscribe to O'Reilly on YouTube: http://goo.gl/n3QSYi Follow O'Reilly on Twitter: http://twitter.com/oreilly Facebook: http://facebook.com/OReilly Google: http://plus.google.com/+oreillymedia
From playlist O'Reilly Webcasts 3
Sets - Listing Method | Don't Memorise
What is the Listing Method in Sets? To learn more about Sets, enrol in our full course now: https://bit.ly/SetsDM In this video, we will learn: 0:00 how do we represent a set? 0:19 listing method or the roster method To watch more videos related to Sets, click here: https://bit.ly/Mid
From playlist Middle School Math - Sets