In abstract algebra, specifically in module theory, a dense submodule of a module is a refinement of the notion of an essential submodule. If N is a dense submodule of M, it may alternatively be said that "N ⊆ M is a rational extension". Dense submodules are connected with rings of quotients in noncommutative ring theory. Most of the results appearing here were first established in, and. It should be noticed that this terminology is different from the notion of a dense subset in general topology. No topology is needed to define a dense submodule, and a dense submodule may or may not be topologically dense in a module with topology. (Wikipedia).
From playlist Hierarchical Clustering
Homogeneous and Heterogeneous Mixtures Examples, Classification of Matter, Chemistry
This chemistry video tutorial explains the difference between homogeneous and heterogeneous mixtures within the subtopic of the classification of matter. It contains plenty of examples. Homogeneous mixtures have constant composition. Salt water is a homogeneous mixture - it has one visi
From playlist New AP & General Chemistry Video Playlist
21c Spatial Data Analytics: Scaling Statistics
Subsurface modeling course lecture on scaling statistics.
From playlist Spatial Data Analytics and Modeling
[TensorFlow 2 Deep Learning] Dense Layer
Let's understand what is Dense layer, why we use dense layer and how to use dense layer in Tensorflow 2. you can practice it using Colab below. https://github.com/minsuk-heo/tf2/blob/master/jupyter_notebooks/03.Dense_layer_XOR.ipynb all machine learning youtube videos from me, https://ww
From playlist Machine Learning
Jens Hemelaer: Toposes in arithmetic noncommutative geometry
Talk by Jens Hemelaer in Global Noncommutative Geometry Seminar (Americas) on February 5, 2021
From playlist Global Noncommutative Geometry Seminar (Americas)
M. Zadimoghaddam: Randomized Composable Core-sets for Submodular Maximization
Morteza Zadimoghaddam: Randomized Composable Core-sets for Distributed Submodular and Diversity Maximization An effective technique for solving optimization problems over massive data sets is to partition the data into smaller pieces, solve the problem on each piece and compute a represen
From playlist HIM Lectures 2015
Making YOU the Scientist: Density of Liquids
This a fun experiment that can be done in almost any setting: in the classroom, during home schooling, as an online learning demonstration or just a fun thing to do with the kids on the weekend. Everything you need you probably have around the house or you can get it with a quick trip to t
From playlist Making You the Scientist
Josef Teichmann: An elementary proof of the reconstruction theorem
CIRM VIRTUAL EVENT Recorded during the meeting "Pathwise Stochastic Analysis and Applications" the March 09, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Virtual Conference
Dimension expanders via rank condensers - Micheal Forbes
Michael Forbes Member, School of Mathematics February 3, 2015 Expander graphs are sparse graphs with good connectivity properties and they have become ubiquitous in theoretical computer science. Dimension expanders are a linear-algebraic variant where we ask for a constant number of linea
From playlist Mathematics
From playlist Abstract Algebra 2
Submodule GB01 Game Boy Cart Reader: Lots of Potential!
Cartridge readers are a common staple among Game Boy enthusiasts. Does a new contender from Submodule have what it takes to stand out? Submodule GB01: https://submodule.co/ ----------------------------------------------------------------------------- Please consider supporting my work
From playlist Tech Reviews
Lecture 17. Isomorphism theorems. Free modules
0:00 0:19 1st isomorphism theorem 1:15 2nd isomorphism theorem 4:56 3rd isomorphism theorem 9:40 Submodules of a quotient module 12:55 Generators 18:34 Finitely generated modules 30:21 Cautionary example: not every submodule of a finitely generated module is finitely generated 33:18 Linea
From playlist Abstract Algebra 2
Notes by Keith Conrad to follow along: https://kconrad.math.uconn.edu/blurbs/linmultialg/modulesoverPID.pdf
From playlist Abstract Algebra 2
A geometric view on Iwasawa theory - Mladen Dimitrov
Joint IAS/Princeton University Number Theory Seminar Topic: A geometric view on Iwasawa theory Speaker: Mladen Dimitrov Affiliation: Université de Lille Date: May 14, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Lecture 19. Structure of modules
From playlist Abstract Algebra 2
Introductory coverage of fundamental data structures. Part of a larger series teaching programming. Visit http://codeschool.org
From playlist Data Structures
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
Teach Astronomy - Density Parameter
http://www.teachastronomy.com/ Another fundamental quantity of the big bang model is the density parameter. It's defined as the ratio of the mean density of the universe to the density just needed to overcome the cosmic expansion. The density parameter is denoted by the Greek symbol capi
From playlist 22. The Big Bang, Inflation, and General Cosmology
WebAssembly: The What, Why and How
WebAssembly is a portable, size, and load-time efficient binary format for the web. It is an emerging standard being developed in the WebAssembly community group, and supported by multiple browser vendors. This talk details what WebAssembly is, the problems it is trying to solve, exciting
From playlist Talks
Yi Wang: The Helton-Howe trace formula on submodules
Talk by Yi Wang in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on August 19, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)