In mathematics, dianalytic manifolds are possibly non-orientable generalizations of complex analytic manifolds. A dianalytic structure on a manifold is given by an atlas of charts such that the transition maps are either complex analytic maps or complex conjugates of complex analytic maps. Every dianalytic manifold is given by the quotient of an analytic manifold (possibly non-connected) by a fixed-point-free involution changing the complex structure to its complex conjugate structure. Dianalytic manifolds were introduced by Klein, and dianalytic manifolds of 1 complex dimension are sometimes called Klein surfaces. (Wikipedia).
Hydrostatic transmissions with fixed or variable hydraulic pumps and fixed or variable motor combinations provide an extended range of motor speeds and torques.
From playlist Pneumatic and Hydraulics
http://www.mekanizmalar.com This is a flash animation of a hydraulic closed center valve.
From playlist Pneumatic and Hydraulics
Messing with Mona: Introduction to Geometric Transformations
Link: https://www.geogebra.org/m/KFtdRvyv
From playlist Geometry: Dynamic Interactives!
Right Circular Cone Anatomy: Quick Exploration
Engage here: https://www.geogebra.org/m/j9yyv3md
From playlist Geometry: Dynamic Interactives!
Hydraulic cylinder with fixed piston
Green cylinder with machine table reciprocates. Pressure fluid is conducted into cylinder via holes on fixed piston rod. The hoses can be stationary. In case using holes on the cylinder the hoses have to move with the cylinder. The arrows show flows of pressure fluid.
From playlist Mechanisms
Eteinne Farcot - The Multiradial Represenation of IUT
http://www.nottingham.ac.uk/cmmb/people/etienne.farcot
From playlist Mathematical Shenanigans
Adding Vectors Geometrically: Dynamic Illustration
Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
Fluid-filled coffee table in motion
This is a coffee table that I built with a fluid-filled disc on the top. The disc can be rotated freely, and the speed and direction of the rotation will cause the fluid to swirl around in different patterns. The fluid is called rheoscopic fluid -- it is designed to show the intricate pat
From playlist Woodworking
Haim Sompolinsky: "Statistical Mechanics of Deep Manifolds: Mean Field Geometry in High Dimension"
Machine Learning for Physics and the Physics of Learning 2019 Workshop IV: Using Physical Insights for Machine Learning "Statistical Mechanics of Deep Manifolds: Mean Field Geometry in High Dimension" Haim Sompolinsky - The Hebrew University of Jerusalem Abstract: Recent advances in sys
From playlist Machine Learning for Physics and the Physics of Learning 2019
Fitting a manifold to noisy data by Hariharan Narayanan
DISCUSSION MEETING THE THEORETICAL BASIS OF MACHINE LEARNING (ML) ORGANIZERS: Chiranjib Bhattacharya, Sunita Sarawagi, Ravi Sundaram and SVN Vishwanathan DATE : 27 December 2018 to 29 December 2018 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore ML (Machine Learning) has enjoyed tr
From playlist The Theoretical Basis of Machine Learning 2018 (ML)
Rustam Sadykov (1/28/21): On the Lusternik-Schnirelmann theory of 4-manifolds
Title: On the Lusternik-Schnirelmann theory of 4-manifolds Abstract: I will discuss various versions of the Lusternik-Schnirelman category involving covers and fillings of 4-manifolds by various sets. In particular, I will discuss Gay-Kirby trisections, which are certain decompositions o
From playlist Topological Complexity Seminar
Jintian Zhu - Incompressible hypersurface, positive scalar curvature and positive mass theorem
In this talk, I will introduce a positive mass theorem for asymptotically flat manifolds with fibers (like ALF and ALG manifolds) under an additional but necessary incompressible condition. I will also make a discussion on its connection with surgery theory as well as quasi-local mass and
From playlist Not Only Scalar Curvature Seminar
Fitting manifolds to data - Charlie Fefferman
Workshop on Topology: Identifying Order in Complex Systems Topic: Fitting manifolds to data Speaker: Charlie Fefferman Affiliation: Princeton University Date: April 7, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Brent Pym: Holomorphic Poisson structures - lecture 3
The notion of a Poisson manifold originated in mathematical physics, where it is used to describe the equations of motion of classical mechanical systems, but it is nowadays connected with many different parts of mathematics. A key feature of any Poisson manifold is that it carries a cano
From playlist Virtual Conference
Hao Xu (7/26/22): Frobenius algebra structure of statistical manifold
Abstract: In information geometry, a statistical manifold is a Riemannian manifold (M,g) equipped with a totally symmetric (0,3)-tensor. We show that the tangent bundle of a statistical manifold has a Frobenius algebra structure if and only if the sectional K-curvature vanishes. This gives
From playlist Applied Geometry for Data Sciences 2022
Winter School JTP: Introduction to Fukaya categories, James Pascaleff, Lecture 1
This minicourse will provide an introduction to Fukaya categories. I will assume that participants are also attending Keller’s course on A∞ categories. Lecture 1: Basics of symplectic geometry for Fukaya categories. Symplectic manifolds; Lagrangian submanifolds; exactness conditions;
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
Noémie Combe - How many Frobenius manifolds are there?
In this talk an overview of my recent results is presented. In a joint work with Yu. Manin (2020) we discovered that an object central to information geometry: statistical manifolds (related to exponential families) have an F-manifold structure. This algebraic structure is a more general v
From playlist Research Spotlight
http://www.woodthatworks.com/kinetic-sculptures/infinity Infinity Kinetic sculpture by David C. Roy with actual sounds The video segments of the full sculpture have been endited to keep the total length of the video short. For a longer sequence https://youtu.be/nPUcQpyLBh0
From playlist Kinetic Sculpture
John Morgan, Perelman's work on the Poincaré Conjecture and geometrization of 3-manifolds
2018 Clay Research Conference, CMI at 20 Correction: the work cited at 1:02:30 is of Richard Bamler.
From playlist CMI at 20