The systole (or systolic category) is a numerical invariant of a closed manifold M, introduced by Mikhail Katz and Yuli Rudyak in 2006, by analogy with the Lusternik–Schnirelmann category. The invariant is defined in terms of the systoles of M and its covers, as the largest number of systoles in a product yielding a curvature-free lower bound for the total volume of M. The invariant is intimately related to the Lusternik-Schnirelmann category. Thus, in dimensions 2 and 3, the two invariants coincide. In dimension 4, the systolic category is known to be a lower bound for the Lusternik–Schnirelmann category. (Wikipedia).
From playlist Music.
What is hypertension? | Circulatory system diseases | Health & Medicine | Khan Academy
Learn the categories of hypertension for systolic and diastolic blood pressures. Rishi is a pediatric infectious disease physician and works at Khan Academy. Created by Rishi Desai. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/circulatory-system-diseases/
From playlist Circulatory system diseases | Health & Medicine | Khan Academy
Systolic heart failure pathophysiology | Circulatory System and Disease | NCLEX-RN | Khan Academy
Visit us (http://www.khanacademy.org/science/healthcare-and-medicine) for health and medicine content or (http://www.khanacademy.org/test-prep/mcat) for MCAT related content. These videos do not provide medical advice and are for informational purposes only. The videos are not intended to
From playlist Circulatory system diseases | NCLEX-RN | Khan Academy
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
OCR 21 Century Science, Biology A (June 2014) Part 1 - GCSE Biology Questions - SCIENCE WITH HAZEL
In part 1 of this GCSE Biology revision video, Hazel answers a selection of biology exam questions from the OCR 21st Century Science Science A course (Biology A / Further Additional Science A, Module B7, June 2014). These videos are designed to help with your GCSE science revision. For a
From playlist GCSE Science Exam Questions //
Special Relativity F1 Relativistic Addition of Velocities
Relativistic addition of velocities.
From playlist Physics - Special Relativity
Why doesn't the heart rip? | Circulatory system physiology | NCLEX-RN | Khan Academy
Understand LaPlace's law to see the effect that pressure, radius, and wall thickness each have on the "wall stress" in the left ventricle. Rishi is a pediatric infectious disease physician and works at Khan Academy. Created by Rishi Desai. Watch the next lesson: https://www.khanacademy.or
From playlist Advanced circulatory system physiology | Health & Medicine | Khan Academy
Matthew Hastings - Building Manifolds from Error Correcting Codes - IPAM at UCLA
Recorded 02 September 2021. Matthew Hastings of Microsoft Research presents "Building Manifolds from Error Correcting Codes" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Learn more online at: http://www.ipam.ucla.edu/programs/summer-schools/graduate-summer
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Symmetries show up everywhere in physics. But what is a symmetry? While the symmetries of shapes can be interesting, a lot of times, we are more interested in symmetries of space or symmetries of spacetime. To describe these, we need to build "invariants" which give a mathematical represen
From playlist Relativity
Examples related to Viterbo's conjectures - Michael Hutchings
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Examples related to Viterbo's conjectures Speaker: Michael Hutchings Affiliation: University of California, Berkeley Date: October 23, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Symplectic capacities of p-products - Pazit Haim-Kislev
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Symplectic capacities of p-products Speaker: Pazit Haim-Kislev Affiliation: Tel Aviv University Date: January 28, 2022 A generalization of the cartesian product and the free sum of two convex domains is the
From playlist Mathematics
A public health seminar recorded on February 22, 2010 with Dr. Robert Detrano. 30 years ago, levels of high blood pressure and heart disease were minimal in China, people were not dying of strokes and heart attacks at nearly the same rate as people in the West. However, under China's rap
From playlist Graduate Seminar in Public Health 2009-2010
Damian Osajda: Weakly modular graphs in group theory
HYBRID EVENT Recorded during the meeting "Metric Graph Theory and Related Topics " the December 06, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Combinatorics
Percentiles, Deciles, Quartiles
Understanding percentiles, quartiles, and deciles through definitions and examples
From playlist Unit 1: Descriptive Statistics
Julie Josse: Treatment effect estimation with missing attributes
CIRM VIRTUAL EVENT Recorded during the meeting "Mathematical Methods of Modern Statistics 2" the June 04, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians
From playlist Virtual Conference