In computational geometry, the bin is a data structure that allows efficient region queries. Each time a data point falls into a bin, the frequency of that bin is increased by one. For example, if there are some axis-aligned rectangles on a 2D plane, the structure can answer the question, "Given a query rectangle, what are the rectangles intersecting it?" In the example in the top figure, A, B, C, D, E and F are existing rectangles, so the query with the rectangle Q should return C, D, E and F, if we define all rectangles as closed intervals. The data structure partitions a region of the 2D plane into uniform-sized bins. The bounding box of the bins encloses all candidate rectangles to be queried. All the bins are arranged in a 2D array. All the candidates are represented also as 2D arrays. The size of a candidate's array is the number of bins it intersects. For example, in the top figure, candidate B has 6 elements arranged in a 3 row by 2 column array because it intersects 6 bins in such an arrangement. Each bin contains the head of a singly linked list. If a candidate intersects a bin, it is chained to the bin's linked list. Each element in a candidate's array is a link node in the corresponding bin's linked list. (Wikipedia).
Binomial coefficients and related functions | Arithmetic and Geometry Math Foundations 55
Binomial coefficients are the numbers that appear in the Binomial theorem, and also in Pasal's triangle. They are also naturally related to paths in Pascal's array, essentially the difference table associated to the triangular numbers. We also relate binomial coefficients to the rising and
From playlist Math Foundations
Discrete Math - 6.4.1 The Binomial Theorem
This is an introduction to the Binomial Theorem which allows us to use binomial coefficients to quickly determine the expansion of binomial expressions. Pascals Triangle is also covered. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/pla
From playlist Discrete Math I (Entire Course)
What is a Module? (Abstract Algebra)
A module is a generalization of a vector space. You can think of it as a group of vectors with scalars from a ring instead of a field. In this lesson, we introduce the module, give a variety of examples, and talk about the ways in which modules and vector spaces are different from one an
From playlist Abstract Algebra
The Binomial Theorem | A-level Mathematics
Understanding the binomial theorem. Thanks for watching! This is applicable when the exponent of the binomial is a natural number. If the exponent is a fraction, you need a slightly different version of this theorem which is a topic for another video. ❤️ ❤️ ❤️ Support the channel ❤️
From playlist A-level Mathematics Revision
Algebra Ch 49: Binomial Theorem (1 of 18) What is the Binomial Theorem?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn binomial means an algebraic expression with 2 terms, and binomial theorem is a general solution to (a+b)^n=? where n is
From playlist ALGEBRA CH 49 THE BINOMIAL THEOREM
Binomial Theorem- a quick introduction
TabletClass Math: https://tcmathacademy.com/ How to expand binomials using the binomial theorem. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra Notes:
From playlist Pre-Calculus / Trigonometry
Geometry: Introduction to the Polygon (quadrilateral, pentagon, hexagon and more)
Learn the definition of polygon - a very important shape in geometry. When a polygon has a small number of sides, there is a word you use instead of "polygon". We teach you the names of polygons with 3 to 10 sides. To learn more Geometry, you can watch our playlist from the beginning:
From playlist Euclidean Geometry
The Binomial theorem | Arithmetic and Geometry Math Foundations 54 | N J Wildberger
The Binomial theorem is a key result in elementary algebra, arising naturally from the Distributive law. We connect Pascal's triangle to the difference table of triangular numbers. The entries are related to paths in a two dimensional array using only two types of steps. This lecture is p
From playlist Math Foundations
Professor Gunnar Carlsson , Stanford University, USA
From playlist Public Lectures
Gunnar Carlsson (5/9/22): Deep Learning and TDA
I will talk about some ways in which TDA interacts with the Deep Learning methodology. TDA can contribute to explainability as well as to the performance of Deep Learning models.
From playlist Bridging Applied and Quantitative Topology 2022
Live CEOing Ep 400: Spatial Statistics Design Review for Wolfram Language
In this episode of Live CEOing, Stephen Wolfram reviews the design of upcoming spatial statistics functionality for the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channe
From playlist Behind the Scenes in Real-Life Software Design
Binomial Expansion | Polynomials | Pre-Calculus
In this lesson we explore how to expand binomials by multiplying, binomial theorem and pascals triangle. We will also learn how to determine a given term of a binomial and how to create binomials by completing the square. I make short, to-the-point online math tutorials. I struggled with
From playlist Pc - In the classroom
Keynote Presentation pt. 1 - Stephen Wolfram
To learn more about Wolfram Data Summit, please visit: http://www.wolframdatasummit.org/ Established as a forum for leaders of the world's great data repositories, the Wolfram Data Summit has become an annual event for those interested in the latest innovations in data and data science. T
From playlist Wolfram Data Summit 2016
Gunnar Carlsson (5/1/21): Topological Deep Learning
Machine learning using neural networks is a very powerful methodology which has demonstrated utility in many different situations. In this talk I will show how work in the mathematical discipline called topological data analysis can be used to (1) lessen the amount of data needed in order
From playlist TDA: Tutte Institute & Western University - 2021
“Gauss sums and the Weil Conjectures,” by Bin Zhao (Part 4 of 8)
“Gauss sums and the Weil Conjectures,” by Bin Zhao. The topics include will Gauss sums, Jacobi sums, and Weil’s original argument for diagonal hypersurfaces when he raised his conjectures. Further developments towards the Langlands program and the modularity theorem will be mentioned at th
From playlist CTNT 2016 - ``Gauss sums and the Weil Conjectures" by Bin Zhao
Cryptanalysis of Vigenere cipher: not just how, but why it works
The Vigenere cipher, dating from the 1500's, was still used during the US civil war. We introduce the cipher and explain a standard method of cryptanalysis based on frequency analysis and the geometry of vectors. We focus on visual intuition to explain why it works. The only background
From playlist Classical Cryptography
Geometric Deep Learning | Michael Bronstein || Radcliffe Institute
As part of the 2017–2018 Fellows’ Presentation Series at the Radcliffe Institute for Advanced Study, Michael Bronstein RI ’18 discusses the past, present, and potential future of technologies implementing computer vision—a scientific field in which machines are given the remarkable capabil
From playlist Popular Audience Talks
BIM: People + Process - B1M University Class 2
John Eynon presents B1M University Class 2 - 'People and Process' at University of Westminster. Check out our digestible BIM Level 2 playlist (created from this video) on our channel. Please note that references to 'next year' in this video refer to 2015. For more B1M University classes do
From playlist John Eynon | The B1M
Dana Pe’er, Columbia University - Stanford Big Data 2015
Bringing together thought leaders in large-scale data analysis and technology to transform the way we diagnose, treat and prevent disease. Visit our website at http://bigdata.stanford.edu/.
From playlist Big Data in Biomedicine Conference 2015
Algebra Ch 49: Binomial Theorem (7 of 18) Binomial Coefficients' Format
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the binomial expansion format using the reduced technique (relating to factorials). Next video in this series can be s
From playlist ALGEBRA CH 49 THE BINOMIAL THEOREM