In mathematical logic and computer science, the calculus of constructions (CoC) is a type theory created by Thierry Coquand. It can serve as both a typed programming language and as constructive foundation for mathematics. For this second reason, the CoC and its variants have been the basis for Coq and other proof assistants. Some of its variants include the calculus of inductive constructions (which adds inductive types), the calculus of (co)inductive constructions (which adds coinduction), and the predicative calculus of inductive constructions (which removes some impredicativity). (Wikipedia).
Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions
Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions
From playlist Calculus 1 (Full Length Videos)
In this video, we investigate how to compute limits of a function that is given graphically.
From playlist Calculus
Infinite Limits With Equal Exponents (Calculus)
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From playlist Calculus
Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane
Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane
From playlist Calculus 1 (Full Length Videos)
Calculus 1 Lecture 5.4 Part 6: Finding the Length of a Curve and The Surface Area of a Solid of Revolution.
From playlist Calculus 1 Playlist 2
Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms
Calculus 2 Lecture 6.7: Evaluating Limits of Indeterminate Forms
From playlist Calculus 2 (Full Length Videos)
Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables
Calculus 2 Lecture 8.1: Solving First Order Differential Equations By Separation of Variables
From playlist Calculus 2 (Full Length Videos)
Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions
Calculus 1 Lecture 3.1: Discussion of Increasing and Decreasing Intervals. Discussion of Concavity of functions.
From playlist Calculus 1 (Full Length Videos)
Calculus 1 Lecture 5.1: Finding Area Between Two Curves
Calculus 1 Lecture 5.1: Finding Area Between Two Curves
From playlist Calculus 1 (Full Length Videos)
Lecture 2: The Curry-Howard correspondence
This talk gives an elementary introduction to some central ideas in the theory of computation, including lambda calculus and its relation to category theory. The aim was to get to the statement of the Curry-Howard correspondence, but we ran out of time; at some point there will be another
From playlist Topos theory seminar
Wolfram Physics Project: Future Questions for our Physics Project Tuesday, Apr. 13, 2021
Begins at 5:22 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announcement Find the tools to build a universe: https://wolfr.am/physics
From playlist Wolfram Physics Project Livestream Archive
FEM@LLNL | Unifying the Analysis of Geometric Decomposition in FEEC
Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On March 22, 2022, Tobin Isaac of Georgia Tech presented "Unifying the Analysis of Geometric Decomposition in FEEC." Two operations take
From playlist FEM@LLNL Seminar Series
This video lists an explains propositional, predicate calculus axioms, as well as a set theoretical statement that goes with it, including ZF and beyond. Where possible, the explanations are kept constructive. You can find the list of axioms in the file discussed in this video here: https:
From playlist Logic
Shadows of Computation - Lecture 5 - What is Computation?
Welcome to Shadows of Computation, an online course taught by Will Troiani and Billy Snikkers, covering the foundations of category theory and how it is used by computer scientists to abstract computing systems to reveal their intrinsic mathematical properties. In the fifth lecture Will sp
From playlist Shadows of Computation
Shadows of Computation - Theorems for Free (Discussion)
Welcome to Shadows of Computation, an online course taught by Will Troiani and Billy Snikkers, covering the foundations of category theory and how it is used by computer scientists to abstract computing systems to reveal their intrinsic mathematical properties. In this video, Billy and Wil
From playlist Shadows of Computation
Lecture 2: VOA[M4] (Lecture 1) by Sergei Gukov
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Proof synthesis and differential linear logic
Linear logic is a refinement of intuitionistic logic which, viewed as a functional programming language in the sense of the Curry-Howard correspondence, has an explicit mechanism for copying and discarding information. It turns out that, due to these mechanisms, linear logic is naturally r
From playlist Talks
The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem - Karen Uhlenbeck
Members' Seminar Topic: The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem Speaker: Karen Uhlenbeck Affiliation: The University of Texas at Austin; Distinguished Visiting Professor, School of Mathematics Date: April 6, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Tangents to Parametric Curves (New) | Algebraic Calculus One | Wild Egg
Tangents are an essential part of the differential calculus. Here we introduce these important lines which approximate curves at points in an algebraic fashion -- finessing the need for infinite processes to support takings of limits. We begin by a discussion of tangents historically, espe
From playlist Algebraic Calculus One