Numerical analysis | Functional analysis | Computational fluid dynamics | Applied mathematics
The algebraic stress model arises in computational fluid dynamics. Two main approaches can be undertaken. In the first, the transport of the turbulent stresses is assumed proportional to the turbulent kinetic energy; while in the second, convective and diffusive effects are assumed to be negligible. Algebraic stress models can only be used where convective and diffusive fluxes are negligible, i.e. source dominated flows. In order to simplify the existing EASM and to achieve an efficient numerical implementation the underlying tensor basis plays an important role. The five-term tensor basis that is introduced here tries to combine an optimum of accuracy of the complete basis with the advantages of a pure 2d concept. Therefore a suitable five-term basis is identified. Based on that the new model is designed and validated in combination with different eddy-viscosity type background models. (Wikipedia).
Section (3 5) Implicit Derivatives
Applied Calculus – Section (3.5) – Implicit Derivatives This lecture discusses compares explicit and implicit functions. We work out an example that can be differentiated both explicitly and implicitly and show equivalent results. Examples are worked out which invoke other derivative rules
From playlist Applied Calculus
Implicit differentiation COMPLETELY EXPLAINED! (KristaKingMath)
► My Derivatives course: https://www.kristakingmath.com/derivatives-course Implicit differentiation is the method you use to find a derivative when you can't define the original equation explicitly. Explicitly defined equations are equations that are solved for y in terms of x. In other w
From playlist Calculus I
An Introduction to Stress and Strain
This video is an introduction to stress and strain, which are fundamental concepts that are used to describe how an object responds to externally applied loads. Stress is a measure of the distribution of internal forces that develop within a body to resist these applied loads. There are
From playlist Mechanics of Materials / Strength of Materials
R - Latent Growth (Curve) Example
Lecturer: Dr. Erin M. Buchanan Missouri State University Summer 2016 This video covers an example of how to perform a latent growth model with steps over intercepts, random intercepts, random slopes, slopes, covariance, and residuals. Lavaan and the growth() functions are used. Lecture
From playlist Structural Equation Modeling
Relationship between the shear and axial strain is demonstrated. Lectures for Mechanics of Solids and Structures course at Olin College.
From playlist Lectures for mechanics of solids and structures
Normal Stress and Normal Strain | Mechanical Properties of Solids | Don't Memorise
Stress and strain are basically classified into two types of stress and types of strain: Normal Stress/ Normal Strain and Shear Stress/ Shear Strain. To know what they mean, watch the video! (Mechanical Properties of Solids) In this video, we will learn: 0:00 Introduction 0:09 Types of
From playlist Physics
Calculus 1 Lecture 2.7: Implicit Differentiation
Calculus 1 Lecture 2.7: Implicit Differentiation
From playlist Calculus 1 (Full Length Videos)
R - Full Structural Equation Models Lecture
Lecturer: Dr. Erin M. Buchanan Missouri State University Summer 2016 This lecture covers how to program reflexive and formative indicators in lavaan, their interpretation, and how to use them. We talk about how to convert from a measurement model only to a full structural model. Lectur
From playlist Structural Equation Modeling
Abstract Algebra | Injective Functions
We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Padma Srinivasan - Conductors and minimal discriminants of hyperelliptic curves - AGONIZE conference
Conductors and minimal discriminants are two measures of degeneracy of the singular fiber in a family of hyperelliptic curves. In genus one, the Ogg–Saito formula shows that these two invariants are equal, and in genus two, Qing Liu showed that they are related by an inequality. In this ta
From playlist Arithmetic Geometry is ONline In Zoom, Everyone (AGONIZE)
Clément Hongler - Ising model, (para)fermions, and field theory
In the last 20 years, parafermionic observables have allowed one to rigorously connect lattice models and conformal field theories. I'll present old and recent results and discuss new perspectives (there will new pictures!). Clément Hongler (EPFL)
From playlist 100…(102!) Years of the Ising Model
The ABC Conjecture, Brian Conrad (Stanford) [2013]
slides for this talk: https://drive.google.com/file/d/1J04zXCQYgn9MdgDUo63rH719cruiQJVo/view?usp=sharing The ABC Conjecture Brian Conrad [Stanford University] Stony Brook Mathematics Colloquium Video September 12, 2013 http://www.math.stonybrook.edu/Videos/Colloquium/video_slides.php?
From playlist Number Theory
Initial Theta Data - part 04 - Existence and Examples
Here we use the last part of Papa Silverman to show how one can construct initial theta data.
From playlist Initial Theta Data
Analytic Geometric Langlands-correspondence: Relations to Conformal (Lecture 2) by Joerg Teschner
Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Analytic Geometric Langlands-correspondence: Relations to Conformal ..(Lecture 3) by Joerg Teschner
Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Bartomeu Fiol - Radiation from Matrix Models
I give an overview of work characterizing radiation in generic four-dimensional conformal field theories. I argue that for theories with conformal scalars, the radiated energy is not positive definite and the radiated power is not Lorentz invariant. I then determine the coupling dependence
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday
An Arithmetic Refinement of Homological Mirror Symmetry for the 2-Torus - Yanki Lekili
Yanki Lekili University of Cambridge November 9, 2012 We establish a derived equivalence of the Fukaya category of the 2-torus, relative to a basepoint, with the category of perfect complexes on the Tate curve over Z[[q]]. It specializes to an equivalence, over Z, of the Fukaya category o
From playlist Mathematics
Elliptic Curves - Lecture 8a - Weierstrass models, discriminant, and j-invariant
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
We show the connection between the method of adjoints in optimal control to the implicit function theorem ansatz. We relate the costate or adjoint state variable to Lagrange multipliers.
From playlist There and Back Again: A Tale of Slopes and Expectations (NeurIPS-2020 Tutorial)
Serre Duality on Character Varieties and Explicit Reciprocity Laws by Otmar Venjakob
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)