In mathematics, an existence theorem is a theorem which asserts the existence of a certain object. It might be a statement which begins with the phrase "there exist(s)", or it might be a universal statement whose last quantifier is existential (e.g., "for all x, y, ... there exist(s) ..."). In the formal terms of symbolic logic, an existence theorem is a theorem with a prenex normal form involving the existential quantifier, even though in practice, such theorems are usually stated in standard mathematical language. For example, the statement that the sine function is continuous everywhere, or any theorem written in big O notation, can be considered as theorems which are existential by nature—since the quantification can be found in the definitions of the concepts used. A controversy that goes back to the early twentieth century concerns the issue of purely theoretic existence theorems, that is, theorems which depend on non-constructive foundational material such as the axiom of infinity, the axiom of choice or the law of excluded middle. Such theorems provide no indication as to how to construct (or exhibit) the object whose existence is being claimed. From a constructivist viewpoint, such approaches are not viable as it lends to mathematics losing its concrete applicability, while the opposing viewpoint is that abstract methods are far-reaching, in a way that numerical analysis cannot be. (Wikipedia).
Discrete Math - 1.8.2 Proofs of Existence And Uniqueness
Using varying methods of proof to prove existence or existence of a unique value. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Existence & Uniqueness Theorem, Ex1.5
Existence & Uniqueness Theorem for differential equations. Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of d
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Calculus AB Homework 5.2: Existence Theorems
Download Packet: https://goo.gl/Cjrhyr ================================= AP Calculus AB / IB Math SL Unit 5: Existence Theorems and Particle Motion Lesson 2: Existence Theorems =================================
From playlist AP Calculus AB
Proof that every Differentiable Function is Continuous
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A proof that every differentiable function is continuous.
From playlist Calculus
Existence & Uniqueness Theorem, Ex1
Existence & Uniqueness Theorem, Ex1 Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of differential equations: Ch
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Understanding Logical Statements 1
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From playlist Algebra I Worked Examples
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The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Existence and Uniqueness of Solutions (Differential Equations 11)
https://www.patreon.com/ProfessorLeonard THIS VIDEO CAN SEEM VERY DECEIVING REGARDING CONTINUITY. As I watched this back, after I edited it of course, I noticed that I mentioned continuity is not possible at Endpoints. This is NOT true, as we can consider one-sided limits. What I MEANT
From playlist Differential Equations
Verifying a solution to the differential equation y''+y=tan(x)
Verifying a solution to the differential equation y''+y=tan(x) Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Lecture 14: Limits of Functions in Terms of Sequences and Continuity
MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw How are limits of functions and limits of s
From playlist MIT 18.100A Real Analysis, Fall 2020
Existence theorems intro | Existence theorems | AP Calculus AB | Khan Academy
Overview of the Intermediate Value Theorem, the Extreme Value Theorem and the Mean Value Theorem. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/intermediate-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB
From playlist Existence theorems | AP Calculus AB | Khan Academy
Intermediate Symplectic Capacities - Alvaro Pelayo
Alvaro Pelayo Washington University; Member, School of Mathematics March 1, 2013 In 1985 Misha Gromov proved his Nonsqueezing Theorem, and hence constructed the first symplectic 1-capacity. In 1989 Helmut Hofer asked whether symplectic d-capacities exist if 1 greater than d greater than n.
From playlist Mathematics
Mod-04 Lec-22 Continuation of Solutions
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Lecture 9: Limsup, Liminf, and the Bolzano-Weierstrass Theorem
MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw Does a bounded sequence have a convergent s
From playlist MIT 18.100A Real Analysis, Fall 2020
Worldwide Calculus: Extrema and the Mean Value Theorem
Lecture on 'Extrema and the Mean Value Theorem' from 'Worldwide Differential Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Single-Variable Calculus for AP®
Conditions for IVT and EVT: table | Existence theorems | AP Calculus AB | Khan Academy
Analyzing various conditions to see if the intermediate value theorem or extreme value theorem can be applied to a function, and analyzing a worked example of applying these theorems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-
From playlist Existence theorems | AP Calculus AB | Khan Academy
Real Analysis - Part 42 - L'Hôpital's Rule
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From playlist Real Analysis
Existence and uniqueness -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
The Big Theorem of Differential Equations: Existence & Uniqueness
MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs The theory of differential equations works because of a class of theorems called existence and uniqueness
From playlist Ordinary Differential Equations (ODEs)