The problem with `functions' | Arithmetic and Geometry Math Foundations 42a
[First of two parts] Here we address a core logical problem with modern mathematics--the usual definition of a `function' does not contain precise enough bounds on the nature of the rules or procedures (or computer programs) allowed. Here we discuss the difficulty in the context of funct
From playlist Math Foundations
This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.
From playlist Foundational Math
Reconsidering `functions' in modern mathematics | Arithmetic and Geometry Math Foundations 43
The general notion of `function' does not work in mathematics, just as the general notions of `number' or `sequence' don't work. This video explains the distinction between `closed' and `open' systems, and suggests that mathematical definitions should respect the open aspect of mathemat
From playlist Math Foundations
When is a function bounded below?
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
Functions of equations - IS IT A FUNCTION
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
What is a Function in Math and Physics? (A more intuitive explanation of Function Definition)
0:00 Introduction 3:35 Examples of functions and why we care 14:55 Make own function 19:12 Definition of a function 21:48 Outro
From playlist Summer of Math Exposition Youtube Videos
Using the vertical line test to determine if a graph is a function or not
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
What are bounded functions and how do you determine the boundness
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
Overview of one to one functions
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi
From playlist Characteristics of Functions
What is General Relativity? Lesson 21: Geodesic Equation Part 4: Null and Conformal Geodesics
This video is about What is General Relativity? Lesson 21: Null and Conformal Geodesics In this lecture we clean up a few topics: 1) The Lagrangian for null geodesics and, 2) The relationship between geodesics of conformally related metrics. Check out the forums at http://xylyxylyx.freef
From playlist What is General Relativity?
A few results and conjectures on some product-ratio correlation functions of.... - Yan Fyodorov
50 Years of Number Theory and Random Matrix Theory Conference Topic: A few results and conjectures on some product-ratio correlation functions of characteristic polynomials of beta-Hermite ensembles Speaker: Yan Fyodorov Affiliation: King's College London June 22, 2022 Rank-one non-Hermi
From playlist Mathematics
Spin Glasses and Related Systems (Lecture 3) by Chandan Dasgupta
PROGRAM: BANGALORE SCHOOL ON STATISTICAL PHYSICS - XIII (HYBRID) ORGANIZERS: Abhishek Dhar (ICTS-TIFR, India) and Sanjib Sabhapandit (RRI, India) DATE & TIME: 11 July 2022 to 22 July 2022 VENUE: Madhava Lecture Hall and Online This school is the thirteenth in the series. The schoo
From playlist Bangalore School on Statistical Physics - XIII - 2022 (Live Streamed)
Hugo Duminil-Copin - 1/4 Triviality of the 4D Ising Model
We prove that the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussian. A similar statement is proven for the λφ4 fields over R^4 with a lattice ultraviolet cutoff, in the limit
From playlist Hugo Duminil-Copin - Triviality of the 4D Ising Model
Nathan Seiberg - Quantum Field Theory of Exotic Systems - IPAM at UCLA
Recorded 30 August 2021. Nathan Seiberg of the Institute for Advanced Study presents "Quantum Field Theory of Exotic Systems" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. This is the first of Nathan's two presentations. Abstract: Until recently, it was wid
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Intermediate spectral properties of the $\beta$-ensemble by Anandamohan Ghosh
DISCUSSION MEETING 8TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay (RRI, India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Samriddhi Sankar Ray (ICTS-TIFR, India), Sanjib Sabhapandit (RRI, India) and Prer
From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023
Topological Strings and String Dualities by Rajesh Gopakumar
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Konstantin Khanin: Between mathematics and physics
Abstract: Over the past few decades we have witnessed an unparalleled process of unification between mathematics and physics. In this talk we shall discuss some of Sinai's seminal results which hugely contributed to this process. Sinai's contributions were based on outstanding new ideas in
From playlist Abel Lectures
Self-force and radiation reaction in general relativity by Adam Pound ( Lecture 5 )
PROGRAM SUMMER SCHOOL ON GRAVITATIONAL WAVE ASTRONOMY ORGANIZERS : Parameswaran Ajith, K. G. Arun and Bala R. Iyer DATE : 15 July 2019 to 26 July 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy.
From playlist Summer School on Gravitational Wave Astronomy -2019
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
HEDS Seminar Series | John Cary | “Speed-Limited Particle In Cell and Getting to the Answer Faster”
“Speed-Limited Particle In Cell and Getting to the Answer Faster” HEDS Seminar Series- John Cary – August 6th, 2020 💻 LLNL News: https://www.llnl.gov/news 📲 Instagram: https://www.instagram.com/livermore_lab 🤳 Facebook: https://www.facebook.com/livermore.lab 🐤 Twitter: https://twitter
From playlist High Energy Density Science Seminar Series