Theorems in functional analysis
In mathematics, particularly in functional analysis and convex analysis, a convex series is a series of the form where are all elements of a topological vector space , and all are non-negative real numbers that sum to (that is, such that ). (Wikipedia).
What is the difference between convex and concave polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
What is the difference between convex and concave
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
What are four types of polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Fixed Income: Duration plus convexity to approximate bond price change (FRM T4-38)
Duration plus a convexity adjustment is a good estimate (approximation) of the bond's price change. We can express this change in percentage terms(%) as given by ΔP/P = -D*Δy + 0.5*C*(Δy)^2; or we can express this in dollar terms ($) as given by ΔP =∂P/∂y*Δy + 0.5*∂^2P/∂y^2*(Δy)^2. 💡 Dis
From playlist Valuation and RIsk Models (FRM Topic 4)
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Geometry - Ch. 1: Basic Concepts (28 of 49) What are Convex and Concave Angles?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how to identify convex and concave polygons. Convex polygon: When extending any line segment (side) it does NOT cut through any of the other sides. Concave polygon: When extending any line seg
From playlist THE "WHAT IS" PLAYLIST
An Ultraconvex Putnam Problem.
Taylor series identity: https://youtu.be/6P4V_B6iAY4 2018 Putnam A5. This Putnam competition problem brings together a ton of different ideas in calculus in a very cool way! This is one of my favorite competition problems. Check out more calculus problems: https://www.youtube.com/playlis
From playlist Calculus Problems
Ben Smith: Face structures of tropical polyhedra
Many combinatorial algorithms arise from the interplay between faces of ordinary polyhedra, therefore tropicalizing these algorithms should rely on the face structure of tropical polyhedra. While they have many nice combinatorial properties, the classical definition of a face is flawed whe
From playlist Workshop: Tropical geometry and the geometry of linear programming
Tropical Geometry - Lecture 9 - Tropical Convexity | Bernd Sturmfels
Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)
From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels
Bounds for L-functions by Ritabrata Munshi
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Gary Gordon and Liz McMahon: Generalizations of Crapo's Beta Invariant
Abstract: Crapo's beta invariant was defined by Henry Crapo in the 1960s. For a matroid M, the invariant β(M) is the non-negative integer that is the coefficient of the x term of the Tutte polynomial. Crapo proved that β(M) is greater than 0 if and only if M is connected and M is not a loo
From playlist Combinatorics
The subconvexity problem for L-functions – Ritabrata Munshi – ICM2018
Number Theory Invited Lecture 3.7 The subconvexity problem for L-functions Ritabrata Munshi Abstract: Estimating the size of automorphic L-functions on the critical line is a central problem in analytic number theory. An easy consequence of the standard analytic properties of the L-funct
From playlist Number Theory
What Is Mathematical Optimization?
A gentle and visual introduction to the topic of Convex Optimization. (1/3) This video is the first of a series of three. The plan is as follows: Part 1: What is (Mathematical) Optimization? (https://youtu.be/AM6BY4btj-M) Part 2: Convexity and the Principle of (Lagrangian) Duality (
From playlist Convex Optimization
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Stéphane Gaubert - Ambitropical Convexity, Mean Payoff Games and Nonarchimedean Convex Programming
Convex sets can be defined over ordered fields with a non-archimedean valuation. Then, tropical convex sets arise as images by the valuation of non-archimedean convex sets. The tropicalization of polyhedra and spectrahedra can be described in terms of deterministic and stochastic games wit
From playlist Combinatorics and Arithmetic for Physics: special days
Delta-gamma value at risk (VaR) with the Taylor Series Approximation (FRM T4-4)
[here is my xls https://trtl.bz/2rlVj7H] The Taylor Series lets us approximate a smooth function with a polynomial. Here we apply it to both an option position (where the second term captures gamma) and a bond position (where the second term captures convexity). 💡 Discuss this video here
From playlist Valuation and RIsk Models (FRM Topic 4)
What are the names of different types of polygons based on the number of sides
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons