Bounded growth occurs when the growth rate of a mathematical function is constantly increasing at a decreasing rate. Asymptotically, bounded growth approaches a fixed value. This contrasts with exponential growth, which is constantly increasing at an accelerating rate, and therefore approaches infinity in the limit. An example of bounded growth is the logistic function. (Wikipedia).
Convergent sequences are bounded
Convergent Sequences are Bounded In this video, I show that if a sequence is convergent, then it must be bounded, that is some part of it doesn't go to infinity. This is an important result that is used over and over again in analysis. Enjoy! Other examples of limits can be seen in the
From playlist Sequences
What are Bounded Sequences? | Real Analysis
What are bounded sequences? We go over the definition of bounded sequence in today's real analysis video lesson. We'll see examples of sequences that are bounded, and some that are bounded above or bounded below, but not both. We say a sequence is bounded if the set of values it takes on
From playlist Real Analysis
The Mathematics of Population Growth Using Linear Models
Introduce implicit and explicit population models and their notation. Solve guided problems involving population models and their applications.
From playlist Discrete Math
Definite Integral Using Limit Definition
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definite Integral Using Limit Definition. In this video we compute a definite integral using the limit definition.
From playlist Calculus
A tongue-in-cheek look at the use of limits in the life sciences.
From playlist Life Science Math: Limits in calculus
What happens to limits at infinity. We also look at one of the uses of limits: continuity.
From playlist Life Science Math: Limits in calculus
Describing the common laws of limits. Knowing these will greatly simplify your calculations of limits.
From playlist Life Science Math: Limits in calculus
Proof: Convergent Sequence is Bounded | Real Analysis
Any convergent sequence must be bounded. We'll prove this basic result about convergent sequences in today's lesson. We use the definition of the limit of a sequence, a useful equivalence involving absolute value inequalities, and then considering a maximum and minimum will help us find an
From playlist Real Analysis
Logistic Growth Function and Differential Equations
This calculus video tutorial explains the concept behind the logistic growth model function which describes the limits of population growth. This shows you how to derive the general solution or logistic growth formula starting from a differential equation which describes the population gr
From playlist New Precalculus Video Playlist
Entropy, Mahler Measure and Bernoulli Convolutions - Emmanuel Breuillard
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 24, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
Lecture 06 - Theory of Generalization
Theory of Generalization - How an infinite model can learn from a finite sample. The most important theoretical result in machine learning. Lecture 6 of 18 of Caltech's Machine Learning Course - CS 156 by Professor Yaser Abu-Mostafa. View course materials in iTunes U Course App - https://i
From playlist Machine Learning Course - CS 156
Ilya Shkredov: Zaremba’s conjecture and growth in groups
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 25, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Entropy of manifolds and of their fundamental group - Gerard Besson
Workshop on Geometric Functionals: Analysis and Applications Topic: Entropy of manifolds and of their fundamental group Speaker: Gerard Besson Affiliation: Université de Grenoble Date: March 7, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Twisted Patterson-Sullivan Measure and Applications to Growth Problems (Lecture-3) by Remi Coulon
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will
From playlist Probabilistic Methods in Negative Curvature (Online)
Percolation on Nonamenable Groups, Old and New (Lecture-3) by Tom Hutchcroft
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will
From playlist Probabilistic Methods in Negative Curvature (Online)
Euclidean operator growth and quantum chaos by Anatoly Dymarsky
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019
Alex Wilkie: On complex continuations of functions definable in ℝan,exp with a diophantine [...]
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Logic and Foundations
2020.05.14 Jack Hanson - Critical first-passage percolation (part 2)
Part 1: background and behaviour on regular trees Part 2: limit theorems for lattice first-passage times For many lattice models in probability, the high-dimensional behaviour is well-predicted by the behaviour of a corresponding random model defined on a regular tree. Rigorous results
From playlist One World Probability Seminar
Laura Ciobanu: Formal conjugacy growth and hyperbolicity
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebra
The most difficult topic in limits: the indeterminate form.
From playlist Life Science Math: Limits in calculus