The formal definition of a sequence.
We have an intuitive picture of sequences (infinite ordered lists). But there is a formal definition of sequences based out of the idea of a specific function between sets, specifically from the positive integers to the real numbers. ►Full DISCRETE MATH Course Playlist: https://www.youtu
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Formal Definition of a Function using the Cartesian Product
Learning Objectives: In this video we give a formal definition of a function, one of the most foundation concepts in mathematics. We build this definition out of set theory. **************************************************** YOUR TURN! Learning math requires more than just watching vid
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
We define the idea of a sequence, and infinite ordered list of objects and see some examples of how they are defined. Sequences can be defined with an explicit formula or simply list the elements of the sequence until the pattern is clear. ►Full DISCRETE MATH Course Playlist: https://www
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Intro to Discrete Math - Welcome to the Course!
Welcome to Discrete Math. This is the start of a playlist which covers a typical one semester class on discrete math. I chat a little about why I love discrete math, what you should expect, and how an online discrete math course is structured. FULL PLAYLIST: https://www.youtube.com/watch
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
1A Introduction to this course on limits
A course on limits in calculus for healthcare and life sciences students.
From playlist Life Science Math: Limits in calculus
Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions
Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions
From playlist Calculus 1 (Full Length Videos)
Discrete Math - 3.1.2 Searching Algorithms
Linear search and binary search algorithms. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Intro to Sets | Examples, Notation & Properties
Learning Objectives: 1) Identify examples of sets 2) Write sets without regard to order or repetition 3) Determine whether one set is a subset of another **************************************************** YOUR TURN! Learning math requires more than just watching videos, so make sure you
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Set-Roster vs Set-Builder notation
Learning Objectives: 1) Write a set with infinitely many elements using Set-Roster notation 2) Write a set using Set-Builder notation 3) Convert between these two different notations for sets. **************************************************** YOUR TURN! Learning math requires more tha
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Tasho Kaletha - 1/2 A Brief Introduction to the Trace Formula and its Stabilization
We will discuss the derivation of the stable Arthur-Selberg trace formula. In the first lecture we will focus on anisotropic reductive groups, for which the trace formula can be derived easily. We will then discuss the stabilization of this trace formula, which is unconditional on the geom
From playlist 2022 Summer School on the Langlands program
The Reidemeister Trace for Dummies
A research talk presented at the Farifield University Mathematics Research Seminar, November 4, 2021. Should be accessible to a general mathematics audience.
From playlist Research & conference talks
"Introduction to p-adic harmonic analysis" James Arthur, University of Toronto [2008]
James Arthur, University of Toronto Introduction to harmonic analysis on p-adic groups Tuesday Aug 12, 2008 11:00 - 12:00 The stable trace formula, automorphic forms, and Galois representations Video taken from: http://www.birs.ca/events/2008/summer-schools/08ss045/videos/watch/200808121
From playlist Mathematics
[BOURBAKI 2018] 13/01/2018 - 1/4 - Javier FRESAN
Équidistribution de sommes exponentielles (travaux de Katz) - Javier FRESÁN De nombreuses sommes exponentielles sur les corps finis, par exemple les sommes de Gauss ou les sommes de Kloosterman, s'obtiennent comme transformée de Fourier de la fonction trace d'un faisceau l-adique sur un
From playlist BOURBAKI - 2018
85 Years of Nielsen Theory: Fixed Points
Part 1 of a 3 part series of expository talks on Nielsen theory I gave at the conference on Nielsen Theory and Related Topics in Daejeon Korea, June 24, 2013. Part 2- Periodic Points: http://youtu.be/Ic26_F8UUBE Part 3- Coincidence Points: http://youtu.be/Wu2Cr3v_I44 Chris Staecker's int
From playlist Research & conference talks
Yi Wang: The Helton-Howe trace formula on submodules
Talk by Yi Wang in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on August 19, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Metrics of constant Chern scalar curvature and a Chern-Calabi flow
Speaker: Sisi Shen (Northwestern) Abstract: We discuss the existence problem of constant Chern scalar curvature metrics on a compact complex manifold. We prove a priori estimates for these metrics conditional on an upper bound on the entropy, extending a recent result by Chen-Cheng in the
From playlist Informal Geometric Analysis Seminar
MountainWest RubyConf 2014 - New Ruby 2.1 Awesomeness: Pro Object Allocation Tracing
By Sam Rawlins Ruby 2.1 is coming out soon with an amazing new feature under ObjectSpace: #trace_object_allocations. We are now able to trace the file and line number (as well as method) where any Ruby object is allocated from. This is a very welcome feature, as object-level tracing has b
From playlist MWRC 2014
Ruby On Ales 2015 - Ruby Objects: A Walkabout
By, Terence Lee In Ruby, it's easy to create classes, methods, and objects. For instance, did you know that a hello world sinatra app uses 43 classes, 155 methods, and dispatches 548 methods for a single request. In this talk, we're going use TracePoint API to look at how you can find out
From playlist Ruby on Ales 2015
What is a Limit in Calculus? – a very basic introduction
How to find limits in Calculus. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quizzes. All courses dev
From playlist Calculus
The S3 character table - a (somewhat) new meaning | Diffusion Symmetry 2 | N J Wildberger
With diffusion symmetry, we explore mathematical objects or physical systems by spreading or diffusing from an initial point. The algebraic objects that result are hypergroups, or fusion algebra, or one of many similar and almost equivalent systems found in combinatorics, group theory, num
From playlist Diffusion Symmetry: A bridge between mathematics and physics