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In physics and mathematics, the dimension of a space is roughly defined as the minimum number of coordinates needed to specify every point within it. For example: a point on the unit circle in the plane can be specified by two Cartesian coordinates but one can make do with a single coordinate (the polar coordinate angle), so the circle is 1-dimensional even though it exists in the 2-dimensional plane. This intrinsic notion of dimension is one of the chief ways in which the mathematical notion of dimension differs from its common usages.

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Blogs for Dimension

Dimensions Art Blog @ Yale

Dimensions Art Blog @ Yale. Friday, April 24, 2009 ... Yale Arts Library Blog. The Gaze: A Journal of Photography (at Yale) ARTFORUM ...dimensionsart.blogspot.com/

Art Dimension Blog — Graphic design and Web development

69Commentshttp://blog.artdimension.ca/blog/?p=69+Industry+insiders%27+advic e+on ... © 2006–2007 Art Dimension Blog — Sitemap — Cutline by Chris Pearson ...blog.artdimension.ca/

Blog | Canadian Dimension

Published since 1963, Canadian Dimension is a forum for debate on important ... Radio (iTunes) Articles CD Blog Best of the Web Combined Feed ...canadiandimension.com/blog

The Blog from Another Dimension

Commentary on American politics and the view from Japan from an American expatriate.www.blogd.com/

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Art Dimension Blog. Graphic design and Web development. front page. archives. about. RSS ... © 2006–2007 Art Dimension Blog — Sitemap — Cutline by Chris Pearson ...blog.artdimension.ca/blog/?cat=20

Wikipedia About Dimension

Squarecubetesseract.png

In physics and mathematics, the dimension of a space is roughly defined as the minimum number of coordinates needed to specify every point within it. For example: a point on the unit circle in the plane can be specified by two Cartesian coordinates but one can make do with a single coordinate (the polar coordinate angle), so the circle is 1-dimensional even though it exists in the 2-dimensional plane. This intrinsic notion of dimension is one of the chief ways in which the mathematical notion of dimension differs from its common usages.

There is also an inductive description of dimension: consider a discrete set of points (such as a finite collection of points) to be 0-dimensional. By dragging a 0-dimensional object in some direction, one obtains a 1-dimensional object. By dragging a 1-dimensional object in a new direction, one obtains a 2-dimensional object. In general one obtains an n+1-dimensional object by dragging an n dimensional object in a new direction. Returning to the circle example: a circle can be thought of as being drawn as the end-point on the minute hand of a clock, thus it is 1-dimensional. To construct the plane one needs two steps: drag a point to construct the real numbers, then drag the real numbers to produce the plane.

Consider the above inductive construction from a practical point of view -- ie: with concrete objects that one can play with in one's hands. Start with a point, drag it to get a line. Drag a line to get a square. Drag a square to get a cube. Any small translation of a cube has non-trivial overlap with the cube before translation, thus the process stops. This is why space is said to be 3-dimensional.

High-dimensional spaces occur in mathematics and the sciences for many reasons, frequently as configuration spaces such as in Lagrangian or Hamiltonian mechanics. Ie: these are abstract spaces, independent of the actual space we live in. The state-space of quantum mechanics is an infinite-dimensional function space. Some physical theories are also by nature high-dimensional, such as the 4-dimensional general relativity and higher-dimensional string theories.

Mathematics

In mathematics, the dimension of Euclidean n-space En is n. When trying to generalize to other types of spaces, one is faced with the question “what makes En n-dimensional?" One answer is that in order to cover a fixed ball in En by small balls of radius ε, one needs on the order of εn such small balls. This observation leads to the definition of the Minkowski dimension and its more sophisticated variant, the Hausdorff dimension. But there are also other answers to that question. For example, one may observe that the boundary of a ball in En looks localy like En − 1 and this leads to the notion of the inductive dimension. While these notions agree on En, they turn out to be different when one looks at more general spaces.

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News about Dimension

Analysis: Pope's visit puts focus on Mideast Christians

CNNGiven the delicate balancing act with Muslims and Jews facing Pope Benedict XVI in the Middle East, it can be easy to forget there's also a third faith with antique roots in the region wanting some attention from the pontiff: Christianity.http://www.cnn.com/2009/WORLD/meast/05/10/pope.mideast.chris...

Lending a new dimension to communication strategy

eyefortravel.comCommunication via mobile phones is being tipped to add a new dimension to getting in touch with consumers as they have become accustomed to a continuous flow of information.http://www.eyefortravel.com/node/16479

Rockets try to tie series without Yao

AP via Yahoo! NewsThe Houston Rockets are down 2-1 in their Western Conference semifinal against the Los Angeles Lakers and they'll be down their best player for the rest of the series.http://news.yahoo.com/s/ap/20090510/ap_on_sp_bk_ne/bkn_laker...

The Dead return to glory in SoCal

Orange County RegisterThe legends deliver one more Saturday night of jam joy at the Forum.http://www.ocregister.com/articles/dead-garcia-band-2402624-...

4 Catholic elementary schools thrive amid statewide dwindling enrollment

The Star-LedgerPrincipals mix fund-raising acumen and marketing hustle to keep their schools openhttp://www.nj.com/news/index.ssf/2009/05/4_catholic_elementa...

News about Dimension

Technology brings a new dimension to the Glastonbury experience

The IndependentAll you needed to guarantee a good night out down the disco at one time was a pair of gold lame flares and a few glasses of Babycham. This summer, however, thousands of revellers will gather in a field at Glastonbury to enjoy what is being billed as ... http://www.independent.co.uk/arts-entertainment/music/news/t...

The masterpiece that killed George Orwell

Guardian UnlimitedThe typing of the fair copy of "The Last Man in Europe" became another dimension of Orwell's battle with his book. The more he revised his "unbelievably bad" manuscript the more it became a document only he could read and interpret. It was, he told ... http://www.guardian.co.uk/books/2009/may/10/1984-george-orwe...

Spacecrafts may soon travel faster than light

Zee News ... space-time dimensions around the spaceship with a massive amount of energy, it would create a “bubble” that could push the ship faster than the speed of light. To create this bubble, the Baylor physicists believe manipulating the 11-dimension ... http://www.zeenews.com/news530604.html

The Dead return to glory in SoCal

Orange County RegisterImagine if you will, a "Lost"-y alternate universe where Jerry Garcia didn't pass away in 1995. Rest assured that in this parallel dimension, the 2009 incarnation of the Grateful Dead, now known simply as the Dead, would sound pretty much the same as ... http://www.ocregister.com/articles/dead-garcia-band-2402624-...

Nine Finalists Named in Dimension 3D Printing Contest

TradingMarkets.comExtreme Redesign: The Ultimate 3D Printing Challenge, is a design and 3D printing contest for high school and college students. The nine finalists were selected from an international pool of entries by a panel of experts from within the design and ... http://www.tradingmarkets.com/.site/news/Stock%20News/231883...

Search results for Dimension

Dimension Bike Products

At Dimension, our mission is to help make our customer’s bike experience more comfortable, more personalized and more fun than ever before. We seek to help the savvy bike ... http://www.dimensionbikeproducts.com/

dimension - Definition of dimension at YourDictionary.com

noun. any measurable extent, as length, width, depth, etc. measurements in length and width, and often depth; extent, size, or degree; scope or importancehttp://www.yourdictionary.com/dimension

dimension: Definition, Synonyms from Answers.com

dimension n. A measure of spatial extent, especially width, height, or length. Extent or magnitude; scopehttp://www.answers.com/topic/dimension

dimension definition | Dictionary.com

Copy & paste this link to your blog or website to reference this pagehttp://dictionary.reference.com/browse/dimension

dimension definition of dimension in the Free Online Encyclopedia.

dimension, in mathematics dimension, in mathematics, number of parameters or coordinates required locally to describe points in a mathematical object (usually geometric in ... http://encyclopedia2.thefreedictionary.com/dimension

Wikipedia results for Dimension

Dimension - Wikipedia, the free encyclopedia

In physics and mathematics, the dimension of a space is roughly defined as the minimum number of coordinates needed to specify every point within it [1] [2]http://en.wikipedia.org/wiki/dimension

Dimension (vector space) - Wikipedia, the free encyclopedia

In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V. It is sometimes called Hamel dimension or algebraic dimension to ... http://en.wikipedia.org/wiki/Hamel_dimension

Dimension Films - Wikipedia, the free encyclopedia

Dimension Films is a motion picture unit currently a part of The Weinstein Company. It was formerly used as Bob Weinstein 's label within Miramax Films, to produce and release ... http://en.wikipedia.org/wiki/Dimension_Films

Dimension (song) - Wikipedia, the free encyclopedia

Dimension" is the third single by Australian hard rock band Wolfmother, and the third from their debut album, Wolfmother. It was released in the United Kingdom on 17 April 2006 ... http://en.wikipedia.org/wiki/Dimension_(song)

Dimension X (Teenage Mutant Ninja Turtles) - Wikipedia, the free ...

Dimension X is a alternate dimension in the Teenage Mutant Ninja Turtles (TMNT) 1987 cartoon series and the TMNT Adventures comics. Dimension X is the home of the evil alien Krang.http://en.wikipedia.org/wiki/Dimension_X_(TMNT)
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Pokémon Battle Dimension - Double ...

Pokémon Battle Dimension - Double Team Turnover - Part 2Pokémon Battle Dimension - Double Team Turnover - Part 2Flash - Video

Sketching 3D Solids - Beyond the 2n...

Sketching 3D Solids - Beyond the 2nd DimensionDescriptive video detailing how to draw three dimensional figures on isometric dot paper.Flash - Video

LA DIMENSION DE LA CRISIS

LA DIMENSION DE LA CRISISA estas alturas parece que el problema del ¿subprime¿ no es tan limitado y concreto como deciamos hace algunas semanas en sus consecuencias¿¿pero hasta donde puede...Flash - Video

Pokemon Battle Dimension Episode 48...

Pokemon Battle Dimension Episode 48 Part 2Aiding the Enemy!Flash - Video

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Neue Dimension rechtsextremer GewaltNeue Dimension rechtsextremer GewaltFlash - Video

Answers for Dimension

l0stWhat would a fifth dimension mean for us?l0stTheoretically, there is a 5th dimension, we just don't know how to use it. In fact there is a tenth dimension. See the video on the attached link. It is very interesting, but makes my head hurt...snack_daddy10What are the dimension of a landing strip?snack_daddy10What kind of aircraft are we talking about? A cessna or a jumbo jet?AbudamdamHow specification of dimension tolerances is related to the selection of process?AbudamdamEach machine or process is cable of working within certain tolerances. The machines or processes that have wider tolerances tend to be cheaper to use. So, the design tells you what tolerance...Ana VWhat is a dimension of the concept Academic Achievement?Ana Vuhh... it might be in your text book. Look it up on google or wikipediatony_tosteHow does one put a dimension on a photo or mage?tony_tosteYou can open the scanned image in a photo editing software like photoshop or a vector software like Illustrator or Freehand and put whatever you want on top of it including dimensions. You could then...
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