In mathematics, a space, where is a real number, is a specific type of metric space. Intuitively, triangles in a space are "slimmer" than corresponding "model triangles" in a standard space of constant curvature . In a space, the curvature is bounded from above by . A notable special case is ; complete spaces are known as "Hadamard spaces" after the French mathematician Jacques Hadamard. Originally, Aleksandrov called these spaces “ domain”.The terminology was coined by Mikhail Gromov in 1987 and is an acronym for Élie Cartan, Aleksandr Danilovich Aleksandrov and Victor Andreevich Toponogov (although Toponogov never explored curvature bounded above in publications). (Wikipedia).
Ask the Space Lab Expert: What is Space?
Have you ever wanted to go to Space? In this first episode of Space Lab, Brad and Liam from "World of the Orange" take you on an adventure to discover exactly what is Space. You'll find out about the solar system, the big bang, Sci-Fi movies that are becoming reality, and more!
From playlist What is Space? YouTube Space Lab with Liam and Brad
What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:
From playlist Science Unplugged: Physics
The internet is made for cat videos, so here is mine. Only my cat isn’t real, it is computer generated. And weird. Very weird. To be honest, I'm not even sure what sort of cat it is. Seems to be a mix of various different things... Cat keyframes generated with Artbreeder Composited in Hit
From playlist Nerdy Rodent Uploads!
A01 An introduction to a series on space medicine
A new series on space medicine.
From playlist Space Medicine
7 Orbits with the Soyuz Globus Mechanical Computer #Short #InTheWrongOrientation
See full video and explanation on @CuriousMarc
From playlist Soyuz Globus Mechanical Space Nav Computer
it's 3D with a twist. the rest of the room is coherently 3D, but the cat is different in each eye! be the best multitasker you can be by delegating one cat to each eye! lol, it's higher than 1080p music by http://youtube.com/losmmorpg Not using YouTube's 3D function because I got the di
From playlist Videos with my cats!
SupRicky06's Space Playlist! #1
Click here if you're not in the playlist: http://goo.gl/6OdW1 Hey guys! Thanks for checking out my playlist! Space is incredible so I put together 3 of my favorite space videos for you to watch. Let me know what ya think! Subscribe to Space Lab for more awesome space videos! http://www.
From playlist SupRicky06's Space Playlist!
Lecture 2 | Image Classification
Lecture 2 formalizes the problem of image classification. We discuss the inherent difficulties of image classification, and introduce data-driven approaches. We discuss two simple data-driven image classification algorithms: K-Nearest Neighbors and Linear Classifiers, and introduce the con
From playlist Lecture Collection | Convolutional Neural Networks for Visual Recognition (Spring 2017)
Duality In Higher Categories III by Pranav Pandit
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Is there any place in the Universe where there's truly nothing? Consider the gaps between stars and galaxies? Or the gaps between atoms? What are the properties of nothing?
From playlist Guide to Space
P-Adic Automorphic Forms and (big) Igusa Varieties by Sean Howe
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Parallel session 1 by Pallavi Dani
Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
The Dimpled Manifold Model of Adversarial Examples in Machine Learning (Research Paper Explained)
#adversarialexamples #dimpledmanifold #security Adversarial Examples have long been a fascinating topic for many Machine Learning researchers. How can a tiny perturbation cause the neural network to change its output by so much? While many explanations have been proposed over the years, t
From playlist Papers Explained
Yonatan Harpaz - New perspectives in hermitian K-theory II
Warning: around 32:30 in the video, in the slide entitled "Karoubi's conjecture", a small mistake was made - in the third bulleted item the genuine quadratic structure appearing should be the genuine symmetric one (so both the green and red instances of the superscript gq should be gs), an
From playlist New perspectives on K- and L-theory
[Lesson 6] QED Prerequisites Dirac Formalism Part 6
In this lesson we continue to follow Sakurai and discover the origin and nature of the quantum mechanical momentum operator. Using, arguably, elementary considerations of state translation in position, we discover momentum as the generator of translations. Then we discover the connection b
From playlist QED- Prerequisite Topics
Enrique Macias-Virgo (5/27/21): Homotopic distance and Generalized motion planning
Lusternik-Schnirelmann category and topological complexity are particular cases of a more general notion, that we call homotopic distance between two maps. As a consequence, several properties of those invariants can be proved in a unified way and new results arise. For instance, we prove
From playlist Topological Complexity Seminar
CS231n Lecture 2 - Data driven approach, kNN, Linear Classification 1
Image classification and the data-driven approach k-nearest neighbor Linear classification I
From playlist CS231N - Convolutional Neural Networks
In this short explainer, Universe Today publisher Fraser Cain researchers how cold space is. What temperature do astronauts experience? What about Pluto, or the depths of space. What's the coldest possible temperature space can get? http://www.universetoday.com/77070/how-cold-is-space/ -
From playlist Guide to Space