In model theory and set theory, which are disciplines within mathematics, a model of some axiom system of set theory in the language of set theory is an end extension of , in symbols , if 1. * is a substructure of , (i.e., and ), and 2. * whenever and hold, i.e., no new elements are added by to the elements of . The second condition can be equivalently written as for all . For example, is an end extension of if and are transitive sets, and . A related concept is that of a (also known as rank extension), where a model is a top extension of a model if and for all and , we have , where denotes the rank of a set. * v * t * e (Wikipedia).
FIT2.3.3. Algebraic Extensions
Field Theory: We define an algebraic extension of a field F and show that successive algebraic extensions are also algebraic. This gives a useful criterion for checking algberaic elements. We finish with algebraic closures.
From playlist Abstract Algebra
Timelapse of building of extension to my garage. Unfortunately I didn't think to do this until it was started...
From playlist Projects & Installations
Extended Fundamental Theorem of Calculus
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Extended Fundamental Theorem of Calculus. You can use this instead of the First Fundamental Theorem of Calculus and the Second Fundamental Theorem of Calculus. - Formula - Proof sketch of the formula - Six Examples
From playlist Calculus
Epsilon delta limit (Example 3): Infinite limit at a point
This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!
From playlist Calculus
Infinite Limits With Equal Exponents (Calculus)
#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts
From playlist Calculus
Ex: End (Long Run) Behavior of Exponential Functions
This video provides two examples of how to determine the end behavior or long run behavior of an exponential function. The behavior is verified graphically. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Introduction to Exponential Functions
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
Equation of Sphere given Endpoints of Diameter
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equation of Sphere given Endpoints of Diameter
From playlist Calculus
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
Evolving Chrome Extensions with Manifest V3 - Simeon Vincent - JSConf US 2019
Browser extensions are a defining feature of the web experience, but they're far from perfect. The Chrome team is planning to make a number of changes to improve privacy, security, and performance. In this session we’ll dive into some of the biggest issues with the current platform, where
From playlist JSConf US 2019
Alessandro Desantis - Extensions Are Dead, Long Live Extensions! | SolidusConf 2019
Alessandro Desantis takes us through the future of extensions on Solidus. "Extensions Are Dead, Long Live Extensions!" What is the true place of extensions in the Solidus ecosystem and what does their future look like? In this talk, I will walk you through the challenges Solidus extension
From playlist SolidusConf 2019
Christopher Schafhauser: On the classification of nuclear simple C*-algebras, Lecture 4
Mini course of the conference YMC*A, August 2021, University of Münster. Abstract: A conjecture of George Elliott dating back to the early 1990’s asks if separable, simple, nuclear C*-algebras are determined up to isomorphism by their K-theoretic and tracial data. Restricting to purely i
From playlist YMC*A 2021
Volker Kaibel: A simple geometric proof showing that almost all 01 polytopes have exponential ...
We show that for a random d-dimensional 0/1-polytope the smallest size of any semidefinite extended formulation is exponential in d by building upon nothing else than a simple well-known property of maximum volume inscribed ellipsoids of convex bodies. In particular, the proof does not rel
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
JupyterLab Weekly Dev Meeting, May 5, 2017
Meeting of the JupyterLab development team, May 5, 2017 Meeting Notes: https://paper.dropbox.com/doc/JupyterLabNotebook-Weekly-Meetings-rIhXeFWYRgCiCFKiz2gv4
From playlist Jupyter / IPython dev meetings
Protein folding and aggregation by D. Thirumalai
Conference and School on Nucleation Aggregation and Growth URL: https://www.icts.res.in/program/NAG2010 DATES: Monday 26 July, 2010 - Friday 06 Aug, 2010 VENUE : Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru DESCRIPTION: Venue: Jawaharlal Nehru Centre for Advance
From playlist Conference and School on Nucleation Aggregation and Growth
Nathalie Wach - Le corps des normes de certaines extensions infinies de corps locaux
La théorie du corps des normes constitue la thèse que J-P. Wintenberger a effectuée sous la direction de J-M. Fontaine. Nous présenterons l'article de J-P. Wintenberger, publié aux Annales Scientifiques de l'ENS en 1983. Nous construirons le corps des normes et verrons en quoi cette théori
From playlist The Paris-London Number Theory Seminar, Oct. 2019
CTNT 2020 - Infinite Galois Theory (by Keith Conrad) - Lecture 4
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Infinite Galois Theory (by Keith Conrad)
Hooke's Law and Young's Modulus - A Level Physics
A description of Hooke's Law, the concepts of stress and strain, Young's Modulus (stress divided by strain) and energy stored in a stretched material
From playlist A Level Physics Revision
Limit of (4u^4 + 5)/((u^2 - 2)(2u^2 - 1)) as u approaches infinity
Limit of (4u^4 + 5)/((u^2 - 2)(2u^2 - 1)) as u approaches infinity. This is a calculus problem where we find a limit as u approaches infinity. In this case we have a rational function and the numerator and denominator have the same growth rate, so the limit is the ratio of the leading coef
From playlist Limits at Infinity
JupyterLab Team Meeting - May 18. 2022
A meeting to share and discuss features, ideas, issues, and pull requests in JupyterLab and other Jupyter frontends. This meeting is open to anyone and everyone. Join future calls via the Jupyter community calendar: https://docs.jupyter.org/en/latest/community/content-community.html#jupyt
From playlist JupyterLab Meetings