Projective geometry | Families of sets
In mathematics, in the field of geometry, a polar space of rank n (n ≥ 3), or projective index n − 1, consists of a set P, conventionally called the set of points, together with certain subsets of P, called subspaces, that satisfy these axioms: * Every subspace is isomorphic to a projective geometry Pd(K) with −1 ≤ d ≤ (n − 1) and K a division ring. By definition, for each subspace the corresponding d is its dimension. * The intersection of two subspaces is always a subspace. * For each point p not in a subspace A of dimension of n − 1, there is a unique subspace B of dimension n − 1 containing p and such that A ∩ B is (n − 2)-dimensional. The points in A ∩ B are exactly the points of A that are in a common subspace of dimension 1 with p. * There are at least two disjoint subspaces of dimension n − 1. It is possible to define and study a slightly bigger class of objects using only relationship between points and lines: a polar space is a partial linear space (P,L), so that for each point p ∈ P andeach line l ∈ L, the set of points of l collinear to p, is either a singleton or the whole l. Finite polar spaces (where P is a finite set) are also studied as combinatorial objects. (Wikipedia).
Calculus 2: Polar Coordinates (1 of 38) What are Polar Coordinates?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are polar coordinates and Cartesian coordinates. The Cartesian coordinates use x and y to locate a point on a plane, and the polar coordinates use r and theta to locate a point on a plane
From playlist THE "WHAT IS" PLAYLIST
After a picture-perfect landing, the Phoenix Mars Lander returned unprecedented views and new findings from Mars' north polar region.
From playlist Phoenix Mars Lander
EARTH FROM SPACE: Like You've Never Seen Before
Showing cities all over the world from orbit from North America to India with a dramatic Beethoven soundtrack.
From playlist Space Videos
Polar Coordinates and Graphing Polar Equations
Everything we have done on the coordinate plane so far has been using rectangular coordinates. That's the x and y we are used to. But that's not the only coordinate system. We can also use polar coordinates, which graph points in terms of a radius, or distance from a pole, and theta, the a
From playlist Mathematics (All Of It)
Writing Equivalent Polar Coordinates Quiz
Link: https://www.geogebra.org/m/MxAvq5Yt
From playlist Trigonometry: Dynamic Interactives!
Polar Coordinates: Dynamic Illustrator
Link: https://www.geogebra.org/m/guCcvwFP
From playlist Trigonometry: Dynamic Interactives!
Landing Safely on Mars | MARS: How to Get to Mars
Navigating a rocket ship to its predetermined landing site as it plummets towards the surface of Mars, without crashing, can be tricky business. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Watch all clips of MARS here: http://bit.ly/WatchMARS ➡ Get More MARS: http://bit.ly/NatGeoMARS Ab
From playlist Outer Space | National Geographic
Traveling the Antarctic Ice Sheet
http://icestories.exploratorium.edu On their way to measure GPS stakes on the West Antarctic Ice Sheet (WAIS), glaciologists walk us through their plan and gear for the ski-doo journey.
From playlist Ice Stories: Dispatches from Polar Scientists
Polar Bear Encounter in Canada's High Arctic | National Geographic
Off the coast of Canada's Baffin Island, polar bears cavort and prowl the ice in search of food. Ice floes are a natural habitat for polar bears, but as the ice melts due to a warming climate, the species faces an uncertain future. Naturalists aboard the National Geographic Explorer share
From playlist Greatest Expedition Moments | National Geographic
Lecture 5 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 5 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded February 11, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of mod
From playlist Course | Modern Physics: Quantum Mechanics
Lecture 7 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 7 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded February 25, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of mod
From playlist Course | Modern Physics: Quantum Mechanics
Ruadhai Dervan: Moduli of algebraic varieties
Abstract: One of the central problems in algebraic geometry is to form a reasonable (e.g. Hausdorff) moduli space of smooth polarised varieties. I will show how one can solve this problem using canonical Kähler metrics. This is joint work with Philipp Naumann. Recording during the meeting
From playlist Algebraic and Complex Geometry
Angular momentum, Geometric phase and spin orbit interaction of Light by Nirmalya Ghosh
DISCUSSION MEETING STRUCTURED LIGHT AND SPIN-ORBIT PHOTONICS ORGANIZERS Bimalendu Deb (IACS Kolkata, India), Tarak Nath Dey (IIT Guwahati, India), Subhasish Dutta Gupta (UOH, TIFR Hyderabad, India) and Nirmalya Ghosh (IISER Kolkata, India) DATE: 29 November 2022 to 02 December 2022 VEN
From playlist Structured Light and Spin-Orbit Photonics - Edited
Revealing Gravity's Secrets with Gravitational Waves - Maximiliano Isi - 4/4/2018
Everhart Lecture by Maximiliano Isi, Physics Doctoral Candidate, LIGO, Caltech. Recorded in Lees-Kubota Lecture Hall, April 4, 2018. On September 14, 2015, the two LIGO instruments directly detected, for the very first time, a gravitational wave produced by the collision of two black hole
From playlist Everhart Lecture Series
Quantization, Gauge Theory, And The Analytic Approach To Geometric... (Lecture 1) by Edward Witten
PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
A Geometric and topological view of classical optics by Rajaram Nityananda
DISCUSSION MEETING : GEOMETRIC PHASES IN OPTICS AND TOPOLOGICAL MATTER ORGANIZERS : Subhro Bhattacharjee, Joseph Samuel and Supurna Sinha DATE : 21 January 2020 to 24 January 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore This is a joint ICTS-RRI Discussion Meeting on the geometric
From playlist Geometric Phases in Optics and Topological Matter 2020
Mod-07 Lec-17 Electrical Phenomenon in Insulators
Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science
Natalia Tronko: Exact conservation laws for gyrokinetic Vlasov-Poisson equations
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.
Astronomy - Ch. 12: Mars (16 of 25) The Polar Caps
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn about Mars polar ice caps. The Northern Polar Cap have milder winters compared to the Southern Ice Caps because it's wi
From playlist ASTRONOMY 12 MARS
Sylvie PAYCHA - From Complementations on Lattices to Locality
A complementation proves useful to separate divergent terms from convergent terms. Hence the relevance of complementation in the context of renormalisation. The very notion of separation is furthermore related to that of locality. We extend the correspondence between Euclidean structures o
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday