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
Elastic Deformation and Plastic Deformation | Mechanical Properties of Solids | Don't Memorise
Deformation is simply a change in the shape of a body caused by a Force. But what can be Elastic Deformation and Plastic Deformations? (Mechanical Properties of Solids) We know that when a Spring is Stretched or Compressed it goes back to original shape when released. Why is that? what i
From playlist Physics
https://goo.gl/4DsoAG for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) The objectives of this video are to discuss engineering strain followed by a brief workout on finding strain in a given exemplary column. Basically, the engineering strain can be define
From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)
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.
In a structure, tension and compression are fundamentally different due to bucking instabilities. This video is a qualitative introduction to buckling and material in compression. Video lectures created for Mechanics of Solids and Structures course at Olin College
From playlist Lectures for mechanics of solids and structures
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
Carolin Kreisbeck: Polycrystals and composites in single-slip crystal plasticity: the interplay...
CONFERENCE Recorded during the meeting " Beyond Elasticity: Advances and Research Challenges " the May 16, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Analysis and its Applications
Index Theory and Flexibility in Positive Scalar Curve Geometry -Bernhard Hanke
Emerging Topics Working Group Topic: Index Theory and Flexibility in Positive Scalar Curve Geometry Speaker: Bernhard Hanke Affilaion: Augsburg University Date: October 18, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Stable hypersurfaces with prescribed mean curvature -Costante Bellettini
Variational Methods in Geometry Seminar Topic: Stable hypersurfaces with prescribed mean curvature Speaker: Costante Bellettini Affiliation: Princeton University; Member, School of Mathematics Date: April 2, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Mod-01 Lec-16 Defect Structure & Mechanical Behaviour of Nanomaterials
Nanostructures and Nanomaterials: Characterization and Properties by Characterization and Properties by Dr. Kantesh Balani & Dr. Anandh Subramaniam,Department of Nanotechnology,IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in.
From playlist IIT Kanpur: Nanostructures and Nanomaterials | CosmoLearning.org
Local flexibility for open partial differential relations - Bernhard Hanke
Workshop on the h-principle and beyond Topic: Local flexibility for open partial differential relations Speaker: Bernhard Hanke Affiliation: University of Augsburg Date: November 1, 2021 Abstract: We discuss the problem of extending local deformations of solutions to open partial differ
From playlist Mathematics
Ke Wang: Random perturbation of low-rank matrices
Recording during the meeting "Spectra, Algorithms and Random Walks on Random Networks " the January 16, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Probability and Statistics
Robert Lipton: Nonlocal theories for free crack propagation in brittle materials (Lecture 1)
The dynamic fracture of brittle solids is a particularly interesting collective interaction connecting both large and small length scales. Apply enough stress or strain to a sample of brittle material and one eventually snaps bonds at the atomistic scale leading to fracture of the macrosco
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Robert Lipton: Nonlocal theories for free crack propagation in brittle materials (Lecture 2)
The dynamic fracture of brittle solids is a particularly interesting collective interaction connecting both large and small length scales. Apply enough stress or strain to a sample of brittle material and one eventually snaps bonds at the atomistic scale leading to fracture of the macrosco
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Stability of the spacetime positive mass theorem in spherical symmetry - Marcus Khuri
More videos on http://video.ias.edu
From playlist Mathematics
Mathematical Research Lecture -- Kyle Broder -- Curvature and Moduli
A recent talk I gave concerning the link between the curvature of the total space of a family of compact complex manifolds and the moduli-theoretic behaviour of the fibres. Part of this research appears in my Ph.D. thesis, and will appear in an upcoming preprint. 💪🙏 Support the channel b
From playlist Research Lectures
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