In the theory of composite materials, the representative elementary volume (REV) (also called the representative volume element (RVE) or the unit cell) is the smallest volume over which a measurement can be made that will yield a value representative of the whole. In the case of periodic materials, one simply chooses a periodic unit cell (which, however, may be non-unique), but in random media, the situation is much more complicated. For volumes smaller than the RVE, a representative property cannot be defined and the continuum description of the material involves Statistical Volume Element (SVE) and random fields. The property of interest can include mechanical properties such as elastic moduli, hydrogeological properties, electromagnetic properties, thermal properties, and other averaged quantities that are used to describe physical systems. (Wikipedia).
Volumes and Capacities | Elementary Mathematics (K-6) Explained 22 | N J Wildberger
We introduce volumes and capacities for school age students. Historically these are measures of grain, or valuable liquids like beer and oil. In the modern world, there are as usual two general systems of measuring such volumes or capacities--the metrical or SI system based on the litre, a
From playlist Elementary Mathematics (K-6) Explained
Measuring weight | Elementary Mathematics (K-6) Explained 20 | N J Wildberger
We continue with an innovative approach to early mathematics education! This series is meant for teachers and parents of children in early primary school (K-6) to orient them to beginning mathematics education. It is also of potential interest to lay people wanting to strengthen their unde
From playlist Elementary Mathematics (K-6) Explained
This video defines elementary matrices and then provides several examples of determining if a given matrix is an elementary matrix. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Augmented Matrices
Puzzles with measurement II | Elementary Mathematics K-6 Explained 26 | N J Wildberger
We delve into simple mathematical puzzles involving measurements of volumes or capacities, typically of fluids in containers of various sizes. Although only very simple arithmetic lies behind these problems, there are some logical subtleties. But even young people can appreciate these prob
From playlist Elementary Mathematics (K-6) Explained
This video provides a basic introduction to volume.
From playlist Volume and Surface Area (Geometry)
Basic Concepts of Elementary Mathematics
In this video I will show you a math book that covers a wide variety of topics. This book is very different from your typical algebra or pre-calc book in that it covers different areas of math. It is primarily written for students who want to become teachers or liberal arts majors. I think
From playlist Book Reviews
Introduction | Elementary Mathematics (K-6) Explained 0 | NJ Wildberger
This is an introduction to a series on Elementary Mathematics, meant for teachers and parents of primary school students who would like to get a more solid understanding of the core issues of the subject suitable for instructing young people. Note that this is not really a course for young
From playlist Elementary Mathematics (K-6) Explained
Arithmetic with rectangles | Elementary Mathematics (K-6) Explained 2 | NJ Wildberger
We start our study of arithmetic in a very primitive, naive fashion suitable for Kindergarten level students. A number for us is a row rectangle: a row of unit squares or cells. We show how to use such `numbers' for counting. Then the definitions of addition and multiplication are relative
From playlist Elementary Mathematics (K-6) Explained
FTCE Elementary Education K 6 Math Subtest 604 Practice Problem
FTCE Elementary Education K-6 Math (Subtest 604) Practice Problem Pass the FTCE Elementary Education K-6 Math (subtest 604) by building up your math skills one step at a time. You need to know a lot of basic algebra, geometry and statistics to prepare for the FTCE Elementary Education K-6
From playlist FTCE Math
Finite Index Rigidity of Hyperbolic Groups (Lecture 2) by Nir Lazarovich
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall
From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023
What is ontogenetic variation?
Lecture 03: Invertebrate Paleontology and Paleobotany Invertebrate Paleontology and Paleobotany is a graduate level course in paleontology at Utah State University, which covers the major groups of marine invertebrates, fossil plants, and the important techniques and tools used in the fie
From playlist Utah State University: Invertebrate Paleontology and Paleobotany (CosmoLearning Geology)
Science & Technology Q&A for Kids (and others) [Part 103]
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
SHM 18/10/2019 - Comment une approche émique des textes mathématiques... - Proust
Proust (CNRS - SPHERE) / 18.10.2019 Comment une approche émique des textes mathématiques en transforme l'interprétation. Les notions de nombre, quantité et opération vues de Mésopotamie ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivr
From playlist Séminaire d'Histoire des Mathématiques
What is a Tensor? Lesson 38: Visualization of Forms: Tacks and Sheaves. And Honeycombs.
What is a Tensor? Lesson 38: Visualization of Forms Part 2 Continuing to complete the "visualization" of the four different 3-dimensional vector spaces when dim(V)=3. Erratta: Note: When the coordinate system is expanded the density of things *gets numerically larger* and the area/volum
From playlist What is a Tensor?
Thermodynamics 4e - Entropy and the Second Law V
We conclude our discussion of entropy and the Second Law of Thermodynamics. Consideration of free expansion of an ideal gas leads to the basic concepts of statistical mechanics, which will be the topic of the next video.
From playlist Thermodynamics
12/05/2019, Nicolas Brisebarre
Nicolas Brisebarre, École Normale Supérieure de Lyon Title: Correct rounding of transcendental functions: an approach via Euclidean lattices and approximation theory Abstract: On a computer, real numbers are usually represented by a finite set of numbers called floating-point numbers. Wh
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part1)
In the classical analogy between number fields and function fields, an Euclidean lattice (E,∥.∥) may be seen as the counterpart of a vector bundle V on a smooth projective curve C over some field k. Then the arithmetic counterpart of the dimension h0(C,V)=dimkΓ(C,V) of the space of section
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Primary school maths education | Arithmetic and Geometry Math Foundations 15 | N J Wildberger
What do foundational issues tell us about teaching mathematics at the primary school level? Here we give some insights into arithmetic with different kinds of numbers. We also introduce a two dimensional, geometrical, view of rational numbers. This lecture is part of the MathFoundations
From playlist Math Foundations