Additive categories | Homological algebra
In mathematics, specifically Homological algebra, a double complex is a generalization of a chain complex where instead of having a -grading, the objects in the bicomplex have a -grading. The most general definition of a double complex, or a bicomplex, is given with objects in an additive category . A bicomplex is a sequence of objects with two differentials, the horizontal differential and the vertical differential which have the compatibility relation Hence a double complex is a commutative diagram of the form where the rows and columns form chain complexes. Some authors instead require that the squares anticommute. That is This eases the definition of . By setting , we can switch between having commutativity and anticommutativity. If the commutative definition is used, this alternating sign will have to show up in the definition of Total Complexes. (Wikipedia).
Volume between 3+y-x^2 and unit disk
From playlist Double integrals
Have you ever wondered what a double integral is and what it has to do with cake? If so, watch this video and find out. Here I show step-by-step how to calculate a double integral, which is the multivariable calculus analog of an integral, enjoy! Double and Triple Integrals: https://www.y
From playlist Double and Triple Integrals
What does a triple integral represent?
► My Multiple Integrals course: https://www.kristakingmath.com/multiple-integrals-course Skip to section: 0:15 // Recap of what the double integral represents 1:22 // The triple integral has two uses (volume and mass) 1:45 // How to use the triple integral to find volume 8:59 // Why the
From playlist Calculus III
An introduction to the double integral. Whereas the single integral determines the area under a curve, the double integral of a two variable function determines the volume under a surface as marked out by a region on the XY plane.
From playlist Advanced Calculus / Multivariable Calculus
Definition of V** (double dual) and an amazing miracle Dual Space Definition: https://youtu.be/OGO3HGlOQO4 Dual Spaces Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCs0fJDQnXgeuyFR8iQDwLV Subscribe to my channel: https://www.youtube.com/c/drpeyam
From playlist Dual Spaces
What does a double integral represent?
► My Multiple Integrals course: https://www.kristakingmath.com/multiple-integrals-course It can be difficult to visualize what a double integral represents, which is why in this video we’ll be answering the question, “What am I finding when I evaluate a double integral?” In order to answ
From playlist Calculus III
From playlist Double integrals
Region between x^2+y^2 and 2x+y+1
From playlist Triple integrals
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to integrate over rectangles. The ideas use double integrals and are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Spectral Sequences 03: Total Complexes of Double Complexes
This video talks about the filtrations on the double complex and the induced spectral sequences. The index names here gets a little screwy. Sorry about that.
From playlist Spectral Sequences
We can describe the efficiency of an algorithm, program, or a programmatic operation, in terms of the time it takes, the amount of memory it uses, or the amount of secondary storage space it needs to do its work. However, these performance measures depend on a number of factors, not least
From playlist Big O Complexity
Big O Part 7 – Space Complexity versus Time Complexity
This is the seventh in a series of videos about using Big O notation to describe the complexity of an algorithm. That is, how the performance of an algorithm varies according to the amount of input data. This particular video looks at the time complexity, and space complexity, of three w
From playlist Big O Complexity
A Continuous Transformation of a Double Cover of the Complex Plane into a Torus
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Dominic Milioto Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, a
From playlist Wolfram Technology Conference 2017
Chem 201. Organic Reaction Mechanisms I. Lecture 15. Addition of E+ to C=C
UCI Chem 201 Organic Reaction Mechanisms I (Fall 2012) Lec 15. Organic Reaction Mechanism -- Addition of Electrophilic to C=C View the complete course: http://ocw.uci.edu/courses/chem_201_organic_reactions_mechanisms_i.html Instructor: David Van Vranken, Ph.D. License: Creative Commons
From playlist Chem 201: Organic Reaction Mechanisms I
[Lesson 4] QED Prerequisites Dirac Formalism Part 4
Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lectures is: https://apps.apple.com/us/app/vittle-pro-video-whiteboard/id629037418
From playlist QED- Prerequisite Topics
This is lecture 9 of an online mathematics course on groups theory. It covers the quaternions group and its realtion to the ring of quaternions.
From playlist Group theory
PHYS 146 Oscillations Part 1: Derivation of Simple Harmonic Motion
Video lecture for PHYS 146 at the University of Alberta. For the iBook on the course go to: https://itunes.apple.com/us/book/fluids-and-waves/id1056957688?ls=1&mt=13 This video introduces the parameters used to describe an oscillator and, using the case of a mass-spring systems, derives t
From playlist UAlberta: PHYS 146 - Fluids and Waves with Roger Moore | CosmoLearning.org Physics
Video4-3: Higher order Homogeneous equations with constant coeff. Elementary Differential Equations
Elementary Differential Equations Video4-3: Higher order Homogeneous equations with constant coefficients. Characteristic equations, roots, general solutions. Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0GbSSFMjZQyZtCq-0ol_jD
From playlist Elementary Differential Equations
Multivariable Calculus | Double integrals over rectangular regions.
We give some example of evaluating double integrals over recetangular regions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus | Multiple Integrals
Michael Farber (2/24/22): Topological complexity of spherical bundles
I will start by describing the concept of a parametrized motion planning algorithm which allows to achieve high degree of flexibility and universality. The main part of the talk will focus on the problem of understanding the parametrized topological complexity of sphere bundles. I will exp
From playlist Topological Complexity Seminar