Trees (data structures) | Geometric data structures
A bounding interval hierarchy (BIH) is a partitioning data structure similar to that of bounding volume hierarchies or kd-trees. Bounding interval hierarchies can be used in high performance (or real-time) ray tracing and may be especially useful for dynamic scenes. The BIH was first presented under the name of SKD-Trees, presented by Ooi et al., and BoxTrees, independently invented by Zachmann. (Wikipedia).
Interval Notation (1 of 2: Bounded intervals)
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From playlist Working with Functions
Limit levels + self-similarity in successor-limit hierarchy | Data structures Math Foundations 184
The successor - limit hierarchy exhibits interesting kinds of self-similarity, along the lines of fractals. One manifestation of this appears when we look at the levels of the limits in the sequence. In this video we go further in the sequence to really dizzying heights, probably obtaini
From playlist Math Foundations
In this video, we discuss limits in ∞-categories. This is the second video in our introduction to ∞-categories and Higher Algebra. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further informa
From playlist Higher Algebra
The successor - limit hierarchy | Data Structures in Mathematics Math Foundations 180
Addition, multiplication and exponentiation are just the first three arithmetical operations on a fascinating ladder of operations which ascends to dizzying heights. Here we introduce this fascinating successor-limit hierarchy using the notions of successor and diagonal limit that we discu
From playlist Math Foundations
Equivalences and Partitions, Axiomatic Set Theory 2 2
Defining equivalences and partitions of sets, and proving some theorems about their relations to each other. My Twitter: https://twitter.com/KristapsBalodi3 Equivalence Relations:(0:00) Partitions:(9:22) Connecting Equivalence and Partitions:(14:09) Representatives:(27:04)
From playlist Axiomatic Set Theory
Closed Intervals, Open Intervals, Half Open, Half Closed
00:00 Intro to intervals 00:09 What is a closed interval? 02:03 What is an open interval? 02:49 Half closed / Half open interval 05:58 Writing in interval notation
From playlist Calculus
Building Collision Simulations: An Introduction to Computer Graphics
Collision detection systems show up in all sorts of video games and simulations. But how do you actually build these systems? Turns out that the key ideas behind these systems show up all over a field of computer science called computer graphics. We start off with the basics of animation
From playlist Computer Graphics
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
Pierre-Emmanuel Jabin: The mean-field limit to the Vlasov-Poisson-Fokker-Planck system
HYBRID EVENT Recorded during the meeting " Probability/PDE Interactions: Interface Models and Particle Systems " the April 25, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by world
From playlist Probability and Statistics
Thomas Weighill: The Coarse Geometry of Hyperspaces
Thomas Weighill, UNC Greensboro Title: The Coarse Geometry of Hyperspaces We study the geometry of the space of subsets of an ambient metric space $X$ equipped with the Hausdorff metric. We show that for the space of subsets with at most n points, most coarse geometric properties are inher
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Total Functions in the Polynomial Hierarchy - Robert Kleinberg
Computer Science/Discrete Mathematics Seminar I Topic: Total Functions in the Polynomial Hierarchy Speaker: Robert Kleinberg Affiliation: Cornell University Date: February 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Lecture 13: Spatial Data Structures (CMU 15-462/662)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/
From playlist Computer Graphics (CMU 15-462/662)
An Introduction to Binary Code Bounds - Fernando Granha Jeronimo
A binary code is simply any subset of 0/1 strings of a fixed length. Given two strings, a standard way of defining their distance is by counting the number of positions in which they disagree. Roughly speaking, if elements of a code are sufficiently far apart, then the code is resilient to
From playlist Mathematics
The moment-SOS hierarchy – Jean Lasserre – ICM2018
Control Theory and Optimization Invited Lecture 16.2 The moment-SOS hierarchy Jean Lasserre Abstract: The Moment-SOS hierarchy initially introduced in optimization in 2000, is based on the theory of the K-moment problem and its dual counterpart, polynomials that are positive on K. It tur
From playlist Control Theory and Optimization
Thomas Rothvoß: Scheduling with Communication Delays via LP Hierarchies and Clustering
We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by P | prec,c | Cmax, if two dependent jobs are scheduled on different machines, then at least c unit
From playlist Workshop: Approximation and Relaxation
MIT 6.046J Design and Analysis of Algorithms, Spring 2015 View the complete course: http://ocw.mit.edu/6-046JS15 Instructor: Amartya Shankha Biswas In this recitation, problems related to 2-3 Trees and B-Trees are discussed. License: Creative Commons BY-NC-SA More information at http://o
From playlist MIT 6.046J Design and Analysis of Algorithms, Spring 2015
Intervals: Given the Graph of an Interval, State as an Inequality and Using Interval Notation
This video provides several examples of how to express an interval given as graph using an inequality and using interval notation. Site: http://mathispower4u.com
From playlist Using Interval Notation