Data Structures: List as abstract data type
See complete series of videos in data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P&feature=view_all In this lesson, we will introduce a dynamic list structure as an abstract data type and then see one possible implementation of dynamic list using
From playlist Data structures
11_2_1 The Geomtery of a Multivariable Function
Understanding the real-life 3D meaning of a multivariable function.
From playlist Advanced Calculus / Multivariable Calculus
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
A multiset approach to arithmetic | Math Foundations 227 | N J Wildberger
We introduce a new framework for basic arithmetic and algebra, using the data structure of a multiset, or mset. This is an unordered collection of mathematical objects in which repetition is allowed. But what constitutes a "mathematical object"? One way of proceeding is to begin with the s
From playlist Box Arithmetic
CS224W: Machine Learning with Graphs | 2021 | Lecture 9.2 - Designing the Most Powerful GNNs
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3nGksXo Jure Leskovec Computer Science, PhD In this lecture, we aim to design a maximally expressive GNN model. Our key insight is that a maximally expressive GNN
From playlist Stanford CS224W: Machine Learning with Graphs
Multivariable Calculus | The notion of a vector and its length.
We define the notion of a vector as it relates to multivariable calculus and define its length. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
11_3_5 When is a multivariable function continuous
Determining where is multivariable function is continuous.
From playlist Advanced Calculus / Multivariable Calculus
11_4_1 The Derivative of the Composition of Functions
The composition of a multivariable function and a vector function and calculating its derivative.
From playlist Advanced Calculus / Multivariable Calculus
A (somewhat) new paradigm for mathematics and physics | Diffusion Symmetry 1 | N J Wildberger
The current understanding of symmetry in mathematics and physics is through group theory. However in the last 120 years, a new strand of thought has gradually appeared in a number of disciplines, from as varied as character theory, strongly regular graphs, von Neumann algebras, Hecke algeb
From playlist Diffusion Symmetry: A bridge between mathematics and physics
Generalizing polynumbers: arithmetic with multisets/msets | Math Foundations 227b | N J Wildberger
A foundational lecture on how to set up a general theory of polynomials / polynumbers in many "variables". The main ingredients are a prior theory of natural numbers as multisets of marks, which we review, and also the important but under-rated data structure called an multiset, or mset.
From playlist Box Arithmetic
Seminar on Applied Geometry and Algebra (SIAM SAGA): Bernd Sturmfels
Date: Tuesday, February 9 at 11:00am EST (5:00pm CET) Speaker: Bernd Sturmfels, MPI MiS Leipzig / UC Berkeley Title: Linear Spaces of Symmetric Matrices. Abstract: Real symmetric matrices appear ubiquitously across the mathematical sciences, and so do linear spaces of such matrices. We
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
Local linearity for a multivariable function
A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.
From playlist Multivariable calculus
Introduction and Invitation | Six: An Elementary Course in Pure Mathematics Six 1| Wild Egg
Welcome to Six --- an Elementary Course in Pure Mathematics meant for a general lay audience with a minimal amount of mathematical prerequisites! In this video we introduce the basic objects: the symbols 1,2,3,4,5 and 6 along with the basic tools to create more complex mathematical objec
From playlist Six: An elementary course in Pure Mathematics
Giulio Manzonetto: Taylor expansion, at work
HYBRID EVENT Recorded during the meeting Linear Logic Winter School" the January 28, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual
From playlist Logic and Foundations
Multivariable Calculus | What is a vector field.
We introduce the notion of a vector field and give some graphical examples. We also define a conservative vector field with examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Fun with lists, multisets and sets III | Data Structures in Mathematics Math Foundations 154
We continue our discussion of data structures in mathematics, now treating the case of multisets or msets. This is an unordered structure in which repetitions are allowed. It turns out that multisets support interesting algebraic structures: notable we are able to add two multisets to get
From playlist Math Foundations
The algebra of natural number multisets | Data structures in Mathematics Math Foundation 157
We introduce some deceptively simple but important notation to deal with multisets/msets from n, for some natural number n. In particular we augment addition of msets with multiples of an mset, and use that to give a list-theoretic description of the multiplicity of various elements that a
From playlist Math Foundations
Nexus Trimester - Udi Wieder (VMware Research)
How to Approximate a Set without Knowing it's Size in Advance Udi Wieder (VMware Research) February 25, 2016 Abstract: The dynamic approximate membership problem asks to represent a set [Math Processing Error] of size [Math Processing Error], whose elements are provided in an on-line fashi
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme