Proof of the Dot Product Theorem
Dot products are essential in a mathematician's toolbox. There is a property of dot products, however, that is often taken for granted: the multiplication of the magnitudes of two vectors by the cosine of the angle between them equals the sum of the multiplication of their respective compo
From playlist Fun
Infinite products & the Weierstrass factorization theorem
In this video we're going to explain the Weierstrass factorization theorem, giving rise to infinite product representations of functions. Classical examples are that of the Gamma function or the sine function. https://en.wikipedia.org/wiki/Weierstrass_factorization_theorem https://en.wiki
From playlist Programming
Using the product rule of radicals to simplify to rational exponents
👉 Learn how to simplify rational powers using the power and the product rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the product law which states that the product of numbers/expressions having the same
From playlist Simplify Fractional Exponents using Power to Product
Learn how to simplify an expression raised to fractional powers
👉 Learn how to simplify rational powers using the power and the product rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the product law which states that the product of numbers/expressions having the same
From playlist Simplify Fractional Exponents using Power to Product
Lucia Mocz: A new Northcott property for Faltings height
Abstract: The Faltings height is a useful invariant for addressing questions in arithmetic geometry. In his celebrated proof of the Mordell and Shafarevich conjectures, Faltings shows the Faltings height satisfies a certain Northcott property, which allows him to deduce his finiteness stat
From playlist Algebraic and Complex Geometry
Proof: The Product Rule of Differentiation
This video explains the proof of the product rule using the limit definition of the derivative. Site: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Differentiation Using the Product Rule
Simplify an expression by applying the product rule and negative powers
👉 Learn how to simplify expressions using the product rule and the negative exponent rule of exponents. The product rule of exponents states that the product of powers with a common base is equivalent to a power with the common base and an exponent which is the sum of the exponents of the
From playlist Simplify Using the Rules of Exponents
Jürg Kramer: Effective bounds for Faltings' delta function
In his seminal paper on arithmetic surfaces Faltings introduced a new invariant associated to compact Riemann surfaces. For a given compact Riemann surface X of genus g, this invariant is roughly given as minus the logarithm of the distance of the point in the moduli space of genus g curve
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
David Corwin, Kim's conjecture and effective Faltings
VaNTAGe seminar, on Nov 24, 2020 License: CC-BY-NC-SA.
From playlist ICERM/AGNTC workshop updates
Learn how to use the power rule with fractional powers then simplify
👉 Learn how to simplify rational powers using the power and the product rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the product law which states that the product of numbers/expressions having the same
From playlist Simplify Fractional Exponents using Power to Product
Jacob Tsimerman, Unlikely intersections and the André-Oort conjecture
VaNTAGe Seminar, December 7, 2021 License: CC-BY-NC-SA
From playlist Complex multiplication and reduction of curves and abelian varieties
An algebraic infinitesimal approach to product and chain rules | FMP 22c | N J Wildberger
In this video we give the algebraic framework for a general infinitesimal approach to the Derivative of Faulhaber, valid for a general field F. We rely both on the notion of a dual complex number over F, and the idea of a bi-polynumber. Dual complex numbers are 2 x 2 matrices that incorpor
From playlist Famous Math Problems
VaNTAGe seminar, on Sep 15, 2020 License: CC-BY-NC-SA.
From playlist Rational points on elliptic curves
Introduction to p-adic Hodge theory (Lecture 1) by Denis Benois
PERFECTOID SPACES ORGANIZERS : Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri and Narasimha Kumar Cheraku DATE & TIME : 09 September 2019 to 20 September 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknat
From playlist Perfectoid Spaces 2019
Introduction to p-adic Hodge theory (Lecture 2) by Denis Benois
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Learn how to rewrite an expression using rational powers and simplify the expression
👉 Learn how to simplify rational powers using the power and the product rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the product law which states that the product of numbers/expressions having the same
From playlist Simplify Fractional Exponents using Power to Product
Rigid Analytic Vector in Locally Analytic Representations by Aranya Lahari
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
The Most Difficult Math Problem You've Never Heard Of - Birch and Swinnerton-Dyer Conjecture
The Birch and Swinnerton-Dyer Conjecture is a millennium prize problem, one of the famed seven placed by the Clay Mathematical Institute in the year 2000. As the only number-theoretic problem in the list apart from the Riemann Hypothesis, the BSD Conjecture has been haunting mathematicians
From playlist Math
Simplifying a radical expression into rational exponents
👉 Learn how to simplify rational powers using the power and the product rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the product law which states that the product of numbers/expressions having the same
From playlist Simplify Fractional Exponents using Power to Product
Introduction to p-adic Hodge theory (Lecture 4) by Denis Benois
PROGRAM PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France
From playlist Perfectoid Spaces 2019