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
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
Absolute Value Definition of a Bounded Sequence | Real Analysis
The definition of a bounded sequence is a very important one, and it relies on a sequence having a lower an upper bound. However, we can also state the definition of a bounded sequence with only a single bound - namely an upper bound on the absolute value of the terms of the sequence. If t
From playlist Real Analysis
Bounded and Monotonic Sequences
We define bounded sequences and monotone sequences, then look at the Monotone Sequence Theorem. This video is part of a Calculus II course taught at the University of Cincinnati.
From playlist Older Calculus II (New Playlist For Spring 2019)
Every Compact Set in n space is Bounded
Every Compact Set in n space is Bounded If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Advanced Calculus
This video explains what is taught in discrete mathematics.
From playlist Mathematical Statements (Discrete Math)
Free ebook http://tinyurl.com/EngMathYT An introduction to the convergence property of monotonic and bounded sequences. The main idea is known as the "Monotonic convergence thoerem" and has important applications to approximating solutions to equations. Several examples are presented to
From playlist A second course in university calculus.
David McAllester - Dependent Type Theory from the Perspective of Mathematics, Physics, and (...)
Dependent type theory imposes a type system on Zemelo-Fraenkel set theory (ZFC). From a mathematics and physics perspective dependent type theory naturally generalizes the Bourbaki notion of structure and provides a universal notion of isomorphism and symmetry. This comes with a universal
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday
Wolfram Physics Project: a Conversation on Current Work (Jan. 26, 2021)
This is a Wolfram Physics Project conversation on our continuing efforts to make progress on the fundamental theory of physics. Begins at 3:00 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Ch
From playlist Wolfram Physics Project Livestream Archive
Math 101 Fall 2017 112917 Introduction to Compact Sets
Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi
From playlist Course 6: Introduction to Analysis (Fall 2017)
Fabian Immler, Carnegie Mellon University Formal mathematics and a proof of chaos Formal proof has been successfully applied to the verification of hardware and software systems. But formal proof is also applicable to mathematics: proofs can be checked with ultimate rigor and one can bui
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
Type Systems and Proof Assistant - Vladimir Voevodsky
Vladimir Voevodsky Professor, School of Mathematics, IAS October 10, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Math 131 092816 Continuity; Continuity and Compactness
Review definition of limit. Definition of continuity at a point; remark about isolated points; connection with limits. Composition of continuous functions. Alternate characterization of continuous functions (topological definition). Continuity and compactness: continuous image of a com
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Dependence Uncertainty and Risk - Prof. Paul Embrechts
Abstract I will frame this talk in the context of what I refer to as the First and Second Fundamental Theorem of Quantitative Risk Management (1&2-FTQRM). An alternative subtitle for 1-FTQRM would be "Mathematical Utopia", for 2-FTQRM it would be "Wall Street Reality". I will mainly conce
From playlist Uncertainty and Risk
IMS Public Lecture: From Puzzles to Moduli Spaces
Hugo Parlier, University of Fribourg, Switzerland
From playlist Public Lectures
Research talks by Nisheeth Vishno
Second Bangalore School on Population Genetics and Evolution URL: http://www.icts.res.in/program/popgen2016 DESCRIPTION: Just as evolution is central to our understanding of biology, population genetics theory provides the basic framework to comprehend evolutionary processes. Population
From playlist Second Bangalore School on Population Genetics and Evolution
Chao Gao: Statistical Optimality and Algorithms for Top-K Ranking - Lecture 1
CIRM VIRTUAL CONFERENCE The second presentation will be focused on total ranking. The problem is to find a permutation vector to rank the entire set of players. We will show that the minimax rate of the problem with respect to the Kendall’s tau loss exhibits a transition between an expon
From playlist Virtual Conference
Martin Vohralik: A posteriori error estimates and solver adaptivity in numerical simulations
Abstract: We review how to bound the error between the unknown weak solution of a PDE and its numerical approximation via a fully computable a posteriori estimate. We focus on approximations obtained at an arbitrary step of a linearization (Newton-Raphson, fixed point, ...) and algebraic s
From playlist Numerical Analysis and Scientific Computing
Working with Bourgain - Enrico Bombieri
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
4 Calculating some interesting limits
Now that we have got the ball rolling, let's do some examples.
From playlist Life Science Math: Limits in calculus