Stochastic processes | Spatial analysis
In probability and statistics, a spherical contact distribution function, first contact distribution function, or empty space function is a mathematical function that is defined in relation to mathematical objects known as point processes, which are types of stochastic processes often used as mathematical models of physical phenomena representable as randomly positioned points in time, space or both. More specifically, a spherical contact distribution function is defined as probability distribution of the radius of a sphere when it first encounters or makes contact with a point in a point process. This function can be contrasted with the nearest neighbour function, which is defined in relation to some point in the point process as being the probability distribution of the distance from that point to its nearest neighbouring point in the same point process. The spherical contact function is also referred to as the contact distribution function, but some authors define the contact distribution function in relation to a more general set, and not simply a sphere as in the case of the spherical contact distribution function. Spherical contact distribution functions are used in the study of point processes as well as the related fields of stochastic geometry and spatial statistics, which are applied in various scientific and engineering disciplines such as biology, geology, physics, and telecommunications. (Wikipedia).
Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers
We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www
From playlist Vector Calculus for Engineers
Student Video: Spherical Distribution Problem
MIT RES.3-004 Visualizing Materials Science, Fall 2017 Speaker: Sarah Don View the complete course: https://ocw.mit.edu/RES-3-004F17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62EJXwSgoVRfh1tEiSc01bh Presents an approximate solution to the spherical distribution pr
From playlist MIT RES.3-004 Visualizing Materials Science, Fall 2017
The Normal Distribution (1 of 3: Introductory definition)
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From playlist The Normal Distribution
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From playlist Unit 2: Normal Distributions
Spherical Coordinates - Denis Potapov
This video shows some basic facts about the classical spherical coordinates in vector calculus.
From playlist Dr Denis Potapov's videos
Introduction to Spherical Coordinates
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From playlist Unit 1: Descriptive Statistics
Epigenetic Landscapes and Chromatin Organisation by Mithun Kumar Mitra
Indian Statistical Physics Community Meeting 2018 DATE:16 February 2018 to 18 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community which is attended by scientists, postdoctoral fellows, and graduate s
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A description of curved coordinate systems, including cylindrical and spherical coordinates, and their unit vectors.
From playlist Phys 331 Uploads
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Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
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From playlist Conference and School on Nucleation Aggregation and Growth
Vanessa Robins (11/28/17): Persistence diagrams of bead packings
Uncovering grain-scale mechanisms that underlie the disorder-order transition in assemblies of granular materials is a fundamental problem with technological relevance. To date, the study of granular crystallization has mainly focussed on the symmetry of crystalline patterns while their em
From playlist AATRN 2017
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PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY
The Emergence of Kinetic Energy #SoME2
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From playlist Summer of Math Exposition 2 videos
Genesis and Remodeling of Membrane in Biological System - Lecture 2 by Abdur Rahaman
ORGANIZERS : Vidyanand Nanjundiah and Olivier Rivoire DATE & TIME : 16 April 2018 to 26 April 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This program is aimed at Master's- and PhD-level students who wish to be exposed to interesting problems in biology that lie at the biology-
From playlist Living Matter 2018
R. Ghezzi - Volume measures in non equiregular sub-Riemannian manifolds
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From playlist Journées Sous-Riemanniennes 2017
We use the Normal Distribution app on ArtofSat.com to show how to find probabilities and percentiles under the normal distribution. We also use the app to explain how the two parameters mu (the mean) and sigma (the standard deviation) determine the shape of the distribution.
From playlist Chapter 6: Distributions
Unusual Properties of Persistent Active Matter by Chandan Dasgupta
DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December
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From playlist Calculus 3