- published: 05 Oct 2019
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In mathematics, a building (also Tits building, Bruhat–Tits building, named after François Bruhat and Jacques Tits) is a combinatorial and geometric structure which simultaneously generalizes certain aspects of flag manifolds, finite projective planes, and Riemannian symmetric spaces. Initially introduced by Jacques Tits as a means to understand the structure of exceptional groups of Lie type, the theory has also been used to study the geometry and topology of homogeneous spaces of p-adic Lie groups and their discrete subgroups of symmetries, in the same way that trees have been used to study free groups.
The notion of a building was invented by Jacques Tits as a means of describing simple algebraic groups over an arbitrary field. Tits demonstrated how to every such group G one can associate a simplicial complex Δ = Δ(G) with an action of G, called the spherical building of G. The group G imposes very strong combinatorial regularity conditions on the complexes Δ that can arise in this fashion. By treating these conditions as axioms for a class of simplicial complexes, Tits arrived at his first definition of a building. A part of the data defining a building Δ is a Coxeter group W, which determines a highly symmetrical simplicial complex Σ = Σ(W,S), called the Coxeter complex. A building Δ is glued together from multiple copies of Σ, called its apartments, in a certain regular fashion. When W is a finite Coxeter group, the Coxeter complex is a topological sphere, and the corresponding buildings are said to be of spherical type. When W is an affine Weyl group, the Coxeter complex is a subdivision of the affine plane and one speaks of affine, or Euclidean, buildings. An affine building of type is the same as an infinite tree without terminal vertices.
A building is a constructed object intended for occupancy by humans or animals.
Building may also refer to:
Online creation, also referred to as OLC, online coding, online building, and online editing, is a software feature of MUDs that allows users to edit a virtual world from within the game itself. In the absence of online creation, content is created in a text editor or level editor, and the program generally requires a restart in order to implement the changes.
An aspect of online creation that separates it from "mere game play" is that online creation systems can generally be used to create new content — new objects, new locations, new creatures — rather than simply creating instances of predefined items in the game world. Some have observed that certain forms of online creation — notably those associated with creating new commands — can threaten the stability of the server.
The first publicly available MUD that featured in-game creation of the game world was Skrenta's 1988 Monster.
Match is a fictional character in the DC Comics Universe. He is a clone of Superboy. Match appeared in the Superboy title, issues of Young Justice and the Sins of Youth and Joker's Last Laugh crossover events. Currently, he is a member of the Titans East, which debuted in Teen Titans #43.
Created using Superboy's DNA, Match was made to serve "the Agenda" a secret organization specializing in creating clone armies. Agent Amanda Spence was able to kidnap Superboy and the Agenda used his DNA to create the clone Match. Match was given implanted memories, like Superboy, but they included a greater host of information that Superboy did not have. He also had improved durability as well as greater control over his powers. In fact, it is believed by some that the host of data he was given helped him hone his powers.
In the resulting battle between the two clones, Superboy managed to come out on top and the reactor holding the Agenda's compound together exploded, destroying the base. Match was left alone and ailing.
This page explains commonly used terms in chess in alphabetical order. Some of these have their own pages, like fork and pin. For a list of unorthodox chess pieces, see Fairy chess piece; for a list of terms specific to chess problems, see Glossary of chess problems; for a list of chess-related games, see Chess variants.
[adjective: prophylactic] Prophylactic techniques include the blockade, overprotection, and the mysterious rook move.
Bibliography
Prepare to be amazed as we present to you a breathtaking compilation of extraordinary sculptures created from over 100,000 meticulously arranged matchsticks! Join us on this captivating journey through the artistry of matchstick sculptures, where imagination meets dexterity and ordinary materials are transformed into extraordinary works of art. Caution: Please note that the creation of matchstick sculptures involves fire and should not be attempted indoors or in any unsafe environment. Safety should always be a top priority. Enjoy the artistry and be inspired to explore your own creative endeavors responsibly.
PLEASE DO NOT TRY THIS AT HOME! More than 100 000 matches! It took over 250 hours of work, but it was worth it. Watch till the end! I would be really grateful if you share this video... Thank you for your support! :) Music: www.bensound.com NCS: Music Without Limitations Living by PIKASONIC https://soundcloud.com/pika5onic Creative Commons — Attribution 3.0 Unported — CC BY 3.0 http://creativecommons.org/licenses/b... Music promoted by Audio Library https://youtu.be/q9sUDpIXZYo
Here are my 4 best cardboard jets experiments that use matchsticks as a power source. The top speed was about 2.5 m/s. I hope you like the experiment. Thanks...
Nuclear Art From Matches Art Chain Reaction Domino Effect #Matchsticks #Chainreaction
How to Make a Match House and Burning it Have you ever dreamed to build your own house ? Now you can do it, just take your matches and make everything like in our video. In the end you'll see how it's easy ... to burn match house :) AHAHAHA Music: "Pilots Of Stone" Audionautix. Creative Commons Attribution (https://creativecommons.org/licenses/by/4.0/). http://audionautix.com/ "Over Time" Audionautix. Creative Commons Attribution (https://creativecommons.org/licenses/by/4.0/). http://audionautix.com/
Over 100.000 matches used for making this. More than 160 hours of work. You'll be amazed by the effect of the matches. WARNING! Do not try this anywhere, the author shall not be hold liable for any of your actions performed. This video is intended for scientific and entertaining purposes only. We follow safety precautions for ourselves and for those around us.
This is one of my biggest projects. Over 400 hours of work, all in this 13 minutes video. Watch till the end, you will be surprised! If you like this video, please share it with your friends. Thank you for your support. WARNING Do not try this! Performed by a professional. Do not play with matches! Music: RYYZN - Overthinking (INSTRUMENTAL) https://youtu.be/lSKM3mVoz7w Snake on the beach - Nico Staf -------------------- MusicbyAden - Ocean https://youtu.be/kMm-OwnPqXA Markvard & Kvarmez - Brighter Days https://youtu.be/klPtoy6nq4I Music provided by Vlog No Copyright Music. Creative Commons - Attribution 3.0 Unported
In this video, you'll witness the creative process behind each stunning piece, from the first matchstick to the final chain reaction art effect. Each sculpture in this compilation is unique and showcases the endless possibilities of matchstick art. You'll be amazed at the intricate designs and mesmerizing chain reactions that each piece produces. Enjoy! Caution! Don't try in the house
In this video I show, how to build the most beautiful match house ever. But one is not enough! Let's build a small town with different houses and a clock tower. This is match art. But nothing lasts forever and, after all, matches are made for burning, so I set it on fire and burn it down. As you can see, the result is spectacular. It's like an amazing fire domino chain reaction. Don't forget to like, share and subscribe. Thank you!
Thank you for 1 MILLION subscribers. I made this special art piece to celebrate the grand milestone. It's a unique, sparkly domino schlomino. If you like asmr, you may also find some of the sounds of crackling and popping very satisfying. It took 3 months to build, as you can see in the video. The result was amazing and I hope you enjoy it. Don't forget to like and subscribe so you don't miss the next video. Mr. Beast is very jelly of my skills!
In mathematics, a building (also Tits building, Bruhat–Tits building, named after François Bruhat and Jacques Tits) is a combinatorial and geometric structure which simultaneously generalizes certain aspects of flag manifolds, finite projective planes, and Riemannian symmetric spaces. Initially introduced by Jacques Tits as a means to understand the structure of exceptional groups of Lie type, the theory has also been used to study the geometry and topology of homogeneous spaces of p-adic Lie groups and their discrete subgroups of symmetries, in the same way that trees have been used to study free groups.
The notion of a building was invented by Jacques Tits as a means of describing simple algebraic groups over an arbitrary field. Tits demonstrated how to every such group G one can associate a simplicial complex Δ = Δ(G) with an action of G, called the spherical building of G. The group G imposes very strong combinatorial regularity conditions on the complexes Δ that can arise in this fashion. By treating these conditions as axioms for a class of simplicial complexes, Tits arrived at his first definition of a building. A part of the data defining a building Δ is a Coxeter group W, which determines a highly symmetrical simplicial complex Σ = Σ(W,S), called the Coxeter complex. A building Δ is glued together from multiple copies of Σ, called its apartments, in a certain regular fashion. When W is a finite Coxeter group, the Coxeter complex is a topological sphere, and the corresponding buildings are said to be of spherical type. When W is an affine Weyl group, the Coxeter complex is a subdivision of the affine plane and one speaks of affine, or Euclidean, buildings. An affine building of type is the same as an infinite tree without terminal vertices.