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
From playlist Séminaire Mathematic Park
Dimitri Grigoryev - A Tropical Version of Hilbert Polynomial
We define Hilbert function of a semiring ideal of tropical polynomials in n variables. For n=1 we prove that it is the sum of a linear function and a periodic function (for sufficiently large values). The leading coefficient of the linear function equals the tropical entropy of the ideal.
From playlist Combinatorics and Arithmetic for Physics: special days
Optimization and Tropical Combinatorics (Lecture 2) by Michael Joswig
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stud
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
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
Lei Wang: "Tropical Tensor Networks"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop I: Tensor Methods and their Applications in the Physical and Data Sciences "Tropical Tensor Networks" Lei Wang - Chinese Academy of Sciences Abstract: I will present a unified exact tensor network ap
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
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
An incredible semicircle problem!
A semicircle contains an inscribed semicircle dividing its diameter into two lengths a and b. Can you find the formula for the inscribed semicircle's diameter in terms of the lengths a and b? What is the locus of the center of the inscribed semicircle? Thanks to Nick from Greece for the su
From playlist Math Puzzles, Riddles And Brain Teasers
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
Semir Zeki - Aesthetic Cognitivism II: Intellectual Foundations
Free access to Closer to Truth's library of 5,000 videos: http://bit.ly/376lkKN Aesthetic Cognitivism is a theory about the arts as sources of understanding. What are the scholarly or scientific fields that form its foundation? Explore art’s relationship with cognitive science, philosoph
From playlist Art Seeking Understanding - Closer To Truth - Core Topic
Semir Zeki - Art and the Philosophy of Mind
Can art inform the classic mind-body problem? While the relationship between mental activity and physical brain continues to baffle, can the existence and process of art provide insight? Free access to Closer to Truth's library of 5,000 videos: http://bit.ly/376lkKN Watch more intervie
From playlist Art Seeking Understanding - Closer To Truth - Core Topic
Semir Zeki - Neuroaesthetics: How the Brain Explains Art
Watch full broadcast episodes of Closer To Truth before they premiere. Join exclusive live discussions with top thinkers. Become a Closer To Truth Member today: https://bit.ly/3tzIXax What is happening in our brains when we perceive and appreciate the arts? What are the neural substrates
From playlist Art Seeking Understanding - Closer To Truth - Core Topic
What is the difference between a regular and irregular 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 a regular and irregular polygon
👉 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
Darij Grinberg - Noncommutative Birational Rowmotion on Rectangles
The operation of birational rowmotion on a finite poset has been a mainstay in dynamical algebraic combinatorics for the last 8 years. Since 2015, it is known that for a rectangular poset of the form [p]x[q], this operation is periodic with period p+q. (This result, as has been observed by
From playlist Combinatorics and Arithmetic for Physics: special days
👉 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
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 4)
Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perron" part). (The "Frobenius" part, for irreducible matrices, and finally the case for general nonnega
From playlist École d’été 2013 - Théorie des nombres et dynamique
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 1)
Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perron" part). (The "Frobenius" part, for irreducible matrices, and finally the case for general nonnega
From playlist École d’été 2013 - Théorie des nombres et dynamique
What are Hyperbolas? | Ch 1, Hyperbolic Trigonometry
This is the first chapter in a series about hyperbolas from first principles, reimagining trigonometry using hyperbolas instead of circles. This first chapter defines hyperbolas and hyperbolic relationships and sets some foreshadowings for later chapters This is my completed submission t
From playlist Summer of Math Exposition 2 videos
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 2)
Nonnegative matrices : Perron Frobenius theory and related algebra (Part 2) Licence: CC BY NC-ND 4.0Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perr
From playlist École d’été 2013 - Théorie des nombres et dynamique