Math 131 Lecture #04 091216 Complex Numbers, Countable and Uncountable Sets
Recall the complex numbers: the plane with addition and multiplication. Geometric interpretation of operations. Same thing as a+bi. Complex conjugate. Absolute value (modulus) of a complex numbers; properties (esp., triangle inequality). Cauchy-Schwarz inequality. Recall Euclidean sp
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Duality, polarity and projective linear algebra | Differential Geometry 10 | NJ Wildberger
Projective geometry is a fundamental subject in mathematics, which remarkably is little studied by undergraduates these days. But this situation is about to change---there are just too many places where a projective point of view illuminates mathematics. We will see that differential geome
From playlist Differential Geometry
What is the discriminant and what does it mean
👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. The disc
From playlist Discriminant of a Quadratic Equation | Learn About
Michael Wibmer: Etale difference algebraic groups
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
How To Determine The Discriminant of a Quadratic Equation
This algebra video tutorial explains how to determine the discriminant of a quadratic equation. If the discriminant is greater than zero or positive, then there are 2 real solutions. If the discriminant is equal to zero, then there is one real solution. If the discriminant is negative o
From playlist New Algebra Playlist
How to use the discriminat to describe your solutions
👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. T
From playlist Discriminant of a Quadratic Equation
Maxima and Minima for Quadratic and Cubics | Algebraic Calculus One | Wild Egg
Tangents of algebraic curves are best defined purely algebraically, without recourse to limiting arguments! We apply our techniques for finding such tangents to derive some familiar results for quadratic and cubic polynomial functions and their maxima and minima. We compare also with the c
From playlist Algebraic Calculus One
Interaction between invariant structures for shape analysis - Kimmel - Workshop 2 - CEB T1 2019
Ron Kimmel (Technion) / 12.03.2019 Interaction between invariant structures for shape analysis. A classical approach for surface classification is to find a compact algebraic representation for each surface that would be similar for objects within the same class and preserve dissimilari
From playlist 2019 - T1 - The Mathematics of Imaging
Minimal Discrepancy of Isolated Singularities and Reeb Orbits - Mark McLean
Mark McLean Stony Brook University April 4, 2014 Let A be an affine variety inside a complex N dimensional vector space which either has an isolated singularity at the origin or is smooth at the origin. The intersection of A with a very small sphere turns out to be a contact manifold calle
From playlist Mathematics
How to find the discriminant of a quadratic and label the solutions
👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. T
From playlist Discriminant of a Quadratic Equation
Roberto Svaldi: MMP & Foliations on 3-folds: Applications
Recorded during the research school "Geometry and Dynamics of Foliations " the may 28, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma
From playlist Virtual Conference
Alain Connes: On the Notion of Space
Talk by Alain Connes in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/3573/ on September 3, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Linear Algebra 20e: Proof that Length Preservation Implies the Orthogonal Matrix Property
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
What does the discriminant tell us about the solutions of a quadratic equation
👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. The disc
From playlist Discriminant of a Quadratic Equation | Learn About
Shihoko Ishii - On finite determination of MJ-minimal log discrepancies.
May 7, 2016 This talk was part of the Princeton-Tokyo Algebraic Geometry Conference First I show a relation of MJ-minimal log discrepancies and jet schemes. This relation was known for the base field of characteristic 0 and is proved for positive characteristic case recently. By this we
From playlist Princeton-Tokyo Algebraic Geometry Conference
Why Pythagorean scales can't be perfect: cycles of 5ths and 4ths | Maths and Music | N J Wildberger
We look at the relationships between octaves (2:1), perfect fifths (3:2) and perfect fourths (4:3) as the Pythagoreans envisioned musical intervals, and demonstrate on the piano why there is a fundamental mathematical discrepancy here. Arithmetically it comes down to the fact that a power
From playlist Maths and Music
Lie Fu: K-theoretical and motivic hyperKähler resolution conjecture
The lecture was held within the framework of the Hausdorff Trimester Program : Workshop "K-theory in algebraic geometry and number theory"
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"
Johannes Nicaise: The non-archimedean SYZ fibration and Igusa zeta functions - part 3/3
Abstract : The SYZ fibration is a conjectural geometric explanation for the phenomenon of mirror symmetry for maximal degenerations of complex Calabi-Yau varieties. I will explain Kontsevich and Soibelman's construction of the SYZ fibration in the world of non-archimedean geometry, and its
From playlist Algebraic and Complex Geometry
What is the formula for a perfect square trinomial and how does the discriminant fit in
👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of roots (solutions) the quadratic equation have. The disc
From playlist Discriminant of a Quadratic Equation | Learn About