In mathematics and statistics, the quasi-arithmetic mean or generalised f-mean is one generalisation of the more familiar means such as the arithmetic mean and the geometric mean, using a function . It is also called Kolmogorov mean after Soviet mathematician Andrey Kolmogorov. It is a broader generalization than the regular generalized mean. (Wikipedia).
What is the definition of an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Definition of infinity In this video, I define the concept of infinity (as used in analysis), and explain what it means for sup(S) to be infinity. In particular, the least upper bound property becomes very elegant to write down. Check out my real numbers playlist: https://www.youtube.co
From playlist Real Numbers
Finding the sum or an arithmetic series using summation notation
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Difficulties with real numbers as infinite decimals ( I) | Real numbers + limits Math Foundations 91
There are three quite different approaches to the idea of a real number as an infinite decimal. In this lecture we look carefully at the first and most popular idea: that an infinite decimal can be defined in terms of an infinite sequence of digits appearing to the right of a decimal point
From playlist Math Foundations
Pre-Calculus - Determine if a function is one to one
When getting ready for inverse functions, you'll often hear a lot of information on one to one functions. So what exactly is a one to one function? This video will help out with that, as well as show ways you can test if a relation is a one to one function using the vertical and horizont
From playlist Pre-Calculus
Calculus 5.2c - Infinitesimals - Archimedes
Infinitesimals, what they are, and their early use by Archimedes. The Archimedes Palimpsest.
From playlist Calculus Chapter 5 (selected videos)
Evaluating the partial sum of a arithmetic series
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Moduli spaces of local G-shtukas – Eva Viehmann – ICM2018
Lie Theory and Generalizations Invited Lecture 7.6 Moduli spaces of local G-shtukas Eva Viehmann Abstract: We give an overview of the theory of local G-shtukas and their moduli spaces that were introduced in joint work of U. Hartl and the author, and in the past years studied by many peo
From playlist Lie Theory and Generalizations
Quasi-periodic solutions to nonlinear PDE's - Wei-Min Wang
Analysis Seminar Topic: Quasi-periodic solutions to nonlinear PDE's Speaker:Wei-Min Wang Affiliation: Université Paris-Sud Date: October 26, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Alternative Locus Definition of an Ellipse (1 of 2: Algebraically finding Locus of an Ellipse)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
Some questions around quasi-periodic dynamics – Bassam Fayad & Raphaël Krikorian – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.2 Some questions around quasi-periodic dynamics Bassam Fayad & Raphaël Krikorian Abstract: We propose in these notes a list of some old and new questions related to quasi-periodic dynamics. A main aspect of quasi-per
From playlist Dynamical Systems and ODE
Introduction to the category of Adic spaces (Lecture 1) by Utsav Choudhury
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Peter Sarnak, Summation formulae in spectral theory and number theory [2021]
A talk in honor of Zeev Rudnick's 60th birthday Peter Sarnak, Summation formulae in spectral theory and number theory (Institute for Advanced Study and Princeton University) Abstract: The Poisson Summation formula, Riemann-Guinand-Weil explicit formula, Selberg Trace Formula and Lefsche
From playlist Number Theory
Random walks on hyperbolic groups (Lecture 4) by Peter Haissinsky
Program Probabilistic Methods in Negative Curvature ORGANIZERS: Riddhipratim Basu, Anish Ghosh and Mahan Mj DATE: 11 March 2019 to 22 March 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore The focal area of the program lies at the juncture of three areas: Probability theory o
From playlist Probabilistic Methods in Negative Curvature - 2019
Giray Ökten: Derivative pricing, simulation from non-uniform distributions - lecture 3
The models of Bachelier and Samuelson will be introduced. Methods for generating number sequences from non-uniform distributions, such as inverse transformation and acceptance rejection, as well as generation of stochastic processes will be discussed. Applications to pricing options via re
From playlist Probability and Statistics
Moduli of p-divisible groups (Lecture 1) by Ehud De Shalit
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Lecture 23: Functions (adjectives: onto, one-to-one, bijective), (subsets: images, preimages)
course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html handouts - DZB, Emory videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics