Estimation theory | Statistical paradoxes | Article proofs | Mathematical examples
Stein's example is an important result in decision theory which can be stated as The ordinary decision rule for estimating the mean of a multivariate Gaussian distribution is inadmissible under mean squared error risk in dimension at least 3. The following is an outline of its proof. The reader is referred to the main article for more information. (Wikipedia).
Introduction to Proof by Counter Example
This video provides an introduction to the proof method of proof by counter example. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Proof by Counter Example: Prove a Converse is False
This video provides an example of a proof by counter example. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Direct Proof: If a|b and b|c, then a|c
This video provides an example of a direct proof. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Introduction to Direct Proofs: If n is even, then n squared is even
This video introduces the mathematical proof method of direct proof provides an example of a direct proof. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Ben discusses constructive and non-constructive proofs with examples.
From playlist Basics: Proofs
Homomorphisms in abstract algebra examples
Yesterday we took a look at the definition of a homomorphism. In today's lecture I want to show you a couple of example of homomorphisms. One example gives us a group, but I take the time to prove that it is a group just to remind ourselves of the properties of a group. In this video th
From playlist Abstract algebra
Every Subset of a Linearly Independent Set is also Linearly Independent Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A proof that every subset of a linearly independent set is also linearly independent.
From playlist Proofs
8ECM Invited Lecture: Burak Özbağcı
From playlist 8ECM Invited Lectures
Proof Exercise: Determine the Type of Proof to be Used
This video provides 3 examples of statements and which proof method should be used. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Ciprian Demeter: Decoupling theorems and their applications
We explain how a certain decoupling theorem from Fourier analysis finds sharp applications in PDEs, incidence geometry and analytic number theory. This is joint work with Jean Bourgain. The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Part
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Flexibility in symplectic and contact geometry – Emmy Murphy – ICM2018
Geometry | Topology Invited Lecture 5.6 | 6.2 Flexibility in symplectic and contact geometry Emmy Murphy Abstract: Symplectic and contact structures are geometric structures on manifolds, with relationships to algebraic geometry, geometric topology, and mathematical physics. We discuss a
From playlist Geometry
Positive loops and orderability in contact geometry - Peter Weigel
Peter Weigel Purdue University October 4, 2013 Orderability of contact manifolds is related in some non-obvious ways to the topology of a contact manifold Σ. We know, for instance, that if Σ admits a 2-subcritical Stein filling, it must be non-orderable. By way of contrast, in this talk I
From playlist Mathematics
From local to global holomorphic peak functions (Lecture 1) by Gautam Bharali
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu
From playlist Mathematics
Proving a Function is One-to-One and Onto
This video gives an example of how to show that a function is both 1-1(injective) and onto(surjective). In other words we show that the function is a one-to-one correspondence(bijection). The example given involves a function which maps the set of all 2 x 2 matrices with real entries into
From playlist Functions, Sets, and Relations
The Eisenstein Ideal and its Application to W. Stein’s Conjecture....by Kenneth A. Ribet
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
2022 10 Dan Coman: Extension of quasiplurisubharmonic functions
CONFERENCE Recording during the thematic meeting : "Complex Geometry, Dynamical Sytems and Foliation Theory" the October 20, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathemat
From playlist Analysis and its Applications
Commutative algebra 66: Local complete intersection rings
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We define local complete intersection rings as regular local rings divided by a regular sequence. We give a few examples to il
From playlist Commutative algebra
Equivalence Relations Definition and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.
From playlist Abstract Algebra
Dror Varolin - Minicourse - Lecture 3
Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more generally a complex manifold, and studies holomorphic maps on that space, into some target space. The typical target space for a domain i
From playlist Maryland Analysis and Geometry Atelier