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Topic: Axial vector


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  PlanetMath: axial vector
Axial vector behaves like a vector (polar vector) except that it is invariant under the inversion of its coordinate axes.
The cross product of two axial vectors stays as an axial vector, whereas the croos product of an axial vector and a polar vector turns to be a polar vector.
This is version 3 of axial vector, born on 2005-05-09, modified 2005-05-12.
planetmath.org /encyclopedia/Pseudovector.html   (114 words)

  
 Vector - Wikipedia
In differential geometry, physics, and engineering, the term vector usually refers quantities that are closely related to the coordinates from Euclidean space (or to tangent spaces of a differentiable manifold)—the notion of having a "magnitude" and "direction" is formalized by saying that the vector has components that transform like the coordinates under rotations.
Vectors can be contrasted with scalar quantities such as distance, speed, energy, time, temperature, charge, power, work, and mass, which have magnitude, but no direction (they are invariant under coordinate rotations).
The length or magnitude or norm of the vector a is denoted by
wikipedia.findthelinks.com /ve/Vector.html   (1624 words)

  
 Vector (spatial) -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-04)
A common example of a vector is ((physics) the influence that produces a change in a physical quantity) force — it has a magnitude and an orientation in three dimensions (or however many spatial dimensions one has), and multiple forces sum according to the (additional info and facts about parallelogram law) parallelogram law.
Examples are "moving north at 90 km/h" or "pulling towards the center of Earth with a force of 70 (A unit of force equal to the force that imparts an acceleration of 1 m/sec/sec to a mass of 1 kilogram; equal to 100,000 dynes) newtons".
Subtraction of two vectors can be geometrically defined as follows: to subtract b from a, place the ends of a and b at the same point, and then draw an arrow from the tip of b to the tip of a.
www.absoluteastronomy.com /encyclopedia/v/ve/vector_(spatial).htm   (2184 words)

  
 [No title]
Axial Vector Engine Corporation is a publicly-traded global solutions provider who owns, develops and licenses advanced internal combustion engine and power generator technologies that have unlimited potential in military, industrial, and commercial applications around the world.
The president of that firm was so convinced that our Axial Vector was what he had been looking for, that in no time we struck a deal that would have a profound effect on the direction of our evolution.
Now the benefits of this axial flux generator that Oyvin let us into is that it has a greater power density, and all that means is that it produces more kilowatts per pound of generator.
www.axialvectorengine.com   (5067 words)

  
 Learn more about Vector (spatial) in the online encyclopedia.   (Site not responding. Last check: 2007-11-04)
Such a vector is a special case of a tensor and is also analogous to a four-vector in relativity (and is sometimes therefore called a three-vector in reference to the three spatial dimensions, although this term also has another meaning for p-vectors of differential geometry).
Vectors are the building blocks of vector fields and vector calculus.
In differential geometry, the term vector usually refers to quantities that are closely related to tangent spaces of a differentiable manifold (assumed to be three-dimensional and equipped with a positive definite Riemannian metric).
www.onlineencyclopedia.org /v/ve/vector__spatial_.html   (1961 words)

  
 VECTOR ANALYSIS - Online Information article about VECTOR ANALYSIS
When the sum (or difference) of two vectors is to be further dealt with as a single vector, this may be indicated by the use of curved brackets, e.g.
A polar vector, as it is called, is a magnitude associated with a certain linear direction.
The members of the second class, that of axial vectors, are primarily not vectors at all.
encyclopedia.jrank.org /VAN_VIR/VECTOR_ANALYSIS.html   (2637 words)

  
 SLA_M2AV - Rotation Matrix to Axial Vector
From a rotation matrix, determine the corresponding axial vector (single precision).
The axial vector returned by this routine has the same direction as the Euler axis, and its magnitude is the amount of rotation in radians.
The magnitude and direction of the axial vector can be separated by means of the routine sla_VN.
www.starlink.ac.uk /star/dvi/sun67.htx/node127.html   (110 words)

  
 TEMP\4_5   (Site not responding. Last check: 2007-11-04)
Earlier, in simple rotational and in plane-parallel motions it was shown that the main, complementary and full vectors of accelerations of the first order are always perpendicular to their axes of rotation and intersect them in the direction of the vector's arrow, or in the opposite direction.
The structure of the space vector fields of the main (axipetal) accelerations does not depend on the arrangement of the axes of the component motions and, therefore, is similar to the earlier considered cases.
Complete absence of an axial force at a zero value of (4.106) is also possible, as in the case where the components of the angular velocities are perpendicular.
www.math.rsu.ru /zimin/4_5.html   (1666 words)

  
 SLA_M2AV - Rotation Matrix to Axial Vector   (Site not responding. Last check: 2007-11-04)
From a rotation matrix, determine the corresponding axial vector (single precision).
The axial vector returned by this routine has the same direction as the Euler axis, and its magnitude is the Euler angle in radians.
The magnitude and direction of the axial vector can be separated by means of the routine sla_VN.
www.hartrao.ac.za /nccsdoc/slalib/sun67.htx/node125.html   (114 words)

  
 Axial Vector Engine runs on hype - MarketWatch
For investors who go to the AXVC site (www.axialvectorengine.com), the highlight of the investor kit they get on request is the plastic replica of an axial vector engine -- a cool little desk toy -- rather than the financial numbers.
Axial Vector Engine's eponymous product is a motor that converts combustion energy into rotational energy without the use of a traditional crankshaft.
Alas, real-life applications of Axial Vector's technology remain a pipe dream, as the engine -- which has some true believers in the scientific as well as the investment community -- is still in the prototype-development phase.
www.marketwatch.com /News/Story/Story.aspx?guid={948DA676-EB93-44F4-8B70-599AD158408D}   (1252 words)

  
 Axial Vector(TM) Engine Corporation Announces Symbol Change
Axial Vector(TM) Engine Corporation is a publicly traded company that owns proprietary intellectual property regarding unique internal combustion engine technologies.
We are using these technologies to develop a new and exciting type of engine capable of producing significantly higher horsepower and torque on less fuel than conventional engines of similar size.
Our first prototype engine is called the "Axial Vector(TM) Engine" and we initially expect it will have a number of military and industrial applications.
www.theautochannel.com /news/2005/06/10/119243.html   (363 words)

  
 Aurelius Multimedia Network Announces Interview With Sam Higgins, Director of Axial Vector(TM) Engine Corporation : ...   (Site not responding. Last check: 2007-11-04)
Axial Vector(TM) Engine Corporation has developed the Axial Vector(TM) Engine-Electronic, a revolutionary, radial design with 80% fewer parts and spectacular power-to-weight ratio.
Higgins discussed the Axial Vector(TM) engine ("AVE"), which he considers to be the first breakthrough in over a hundred years with regard to the internal combustion engine.
Higgins described how the AVE is truly scaleable in a true linear fashion, from a two horsepower engine the size of a coffee cup to a five hundred horsepower engine capable of running a M1-A1 Abrams tank.
press.arrivenet.com /business/article.php/657254.html   (680 words)

  
 ipedia.com: Vector (spatial) Article   (Site not responding. Last check: 2007-11-04)
Although the word now has many meanings, its original and most common meaning in those fields is a quantity that has a close relation...
Often informally described as an object with a "magnitude" and "direction", a vector is more formally defined by its relationship to the spatial coordinate system under rotations.
In mathematics, a vector is any element of a vector space over some field.
www.ipedia.com /vector__spatial_.html   (1927 words)

  
 PRESS RELEASE Aurelius Internet Radio Show, the Investment Intelligence Report, Features Axial Vector Engine Corporation   (Site not responding. Last check: 2007-11-04)
Axial Vector™ Engine Corporation has developed the Axial Vector™ Engine-Electronic, a revolutionary, radial design with 80% fewer parts and spectacular power-to-weight ratio.
With its six double-ended pistons and twelve-cylinder configuration, the Axial Vector engine is amazingly efficient and powerful.
The Investment Intelligence Report is aired on Mondays and Thursdays and available for distribution at 12 noon on the day of the recording at http://www.aureliusradio.com.
www.marketwire.com /mw/release_html_b1?release_id=89024   (605 words)

  
 Axial Vector Amplitudes, Second Order Fermions, and Standard Model Photon -- Neutrino Processes (ResearchIndex)   (Site not responding. Last check: 2007-11-04)
Abstract: : We present an extension of the string-inspired technique suitable to the calculation of amplitudes and effective Lagrangians involving both vector and axial vector gauge fields.
The Structure of the Bern-Kosower Integrand for the N-Gluon..
A New Approach to Axial Vector Model Calculations II - Dilkes, McKeon, Schubert (1999)
citeseer.ist.psu.edu /322513.html   (462 words)

  
 Axial Vector Engine Corporation for Axial Vector Engine Corp (AXVC) - AlphaTrade FN
Axial Vector Engine Corporation (OTCBB: AXVC) owns, develops and commercializes proprietary intellectual property surrounding a unique and revolutionary multi-fuel internal combustion engine.
The high power density Axial Flux Generator and inverter has a systems efficiency of 98.5% and are significantly smaller and lighter than any known internal combustion driven engine generators.
As with all Axial Vector Engines, the generator engine is multi-fuel and can adjust to diesel, fuel oil and kerosene on the fly.
www.alphatradefn.com /companies/details?name=companies/data/axvc.hdf   (478 words)

  
 PRESS RELEASE Dr. Raymond Brouzes, CEO of Axial Vector Engine, Updates Shareholders in Exclusive Internet Radio ...   (Site not responding. Last check: 2007-11-04)
Axial Vector Engine Corporation owns, develops and licenses proprietary intellectual property regarding unique internal combustion engine technologies.
Axial Vector™ Engine Corporation is developing and commercializing an exciting and potentially revolutionary internal combustion engine that converts combustion energy into rotational energy without the use of a traditional crankshaft.
The Axial Vector™ Engine is able to run on multiple fuels, while making more power at lower RPMs than traditional engines.
www.marketwire.com /mw/release_html_b1?release_id=94687&tsource=3   (385 words)

  
 Axial Vector(TM) Engine Corporation To Receive Standard & Poor's Listing
PORTLAND, Ore., June 8 -- Axial Vector(TM) Engine Corporation (BULLETIN BOARD: AOME.OB) announced today that its company information will be made available via Standard & Poor's Market Access Program, an information distribution service that enables subscribing publicly traded companies to have their company financial information disseminated to users of Standard & Poor's Advisor Insight.
As part of the program, a full description of Axial Vector(TM) Engine Corporation will also be published in the Daily News section of Standard Corporation Records, a recognized securities manual for secondary trading in approximately 37 states under the Blue Sky Laws.
As with all our Axial(TM) Vector engines, the generator engine is multi-fuel and can adjust to diesel, fuel oil and kerosene on the fly.
www.theautochannel.com /news/2005/06/08/117918.html   (636 words)

  
 Vector Cross Product Polar
ordinarily meant by the term vector is called a polar vector.
A vector is an arrow that points in a particular direction.
Polar Vector -- from MathWorld Polar Vector -- from MathWorld A vector such as the position vector r that reverses sign when the coordinate axes are reversed.
www.number1-freeware.com /vector_cross_product_polar.asp   (326 words)

  
 Moped - resources mopeds moped news Axial Vector Engine Corporation Opens Licensing Office in Mumbai moped news 837 ...
Moped - resources mopeds moped news Axial Vector Engine Corporation Opens Licensing Office in Mumbai moped news 837 Mopeds Motor Scooters On Sale
Axial Vector Engine Corporation Opens Licensing Office in Mumbai
Axial Vector Engine Corporation is a publicly traded company
www.gmimotorsports.com /resources/mopeds/moped-news/Axial-Vector-Engine-Corporation-Opens-Licensing-Office-in-Mumbai-moped-news-837.shtml   (479 words)

  
 Citebase - SYMMETRIES FOR VECTOR AND AXIAL-VECTOR MESONS   (Site not responding. Last check: 2007-11-04)
All deviations in the low-energy electroweak parameters are strongly suppressed, and the vector and axial-vector states turn out to be quite narrow.
Specifically, a model with both vector and axial vector...
We study the expected phenomenology at present (Tevatron) and future (Tevatron Upgrade, LHC) hadronic colliders of a model describing a strong electroweak symmetry breaking sector with both vector and axial vector strong interacting bosons degenerate in mass.
www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:hep-ph/9502247   (1027 words)

  
 Axial Vector(TM) Engine Corporation Announces Symbol Change   (Site not responding. Last check: 2007-11-04)
Axial Vector(TM) Engine Corporation Announces Engagement of Aurelius Consulting to Lead Investor Relations
Axial Vector(TM) Engine Corporation To Receive Standard and Poor's Listing
Axial Vector Engine to Appear on World Business Review TV Series Hosted by Alexander Haig August 7th, 2005 on CNBC (As Paid Programming)
www.news-about-cars.com /axial-vector-tm-engine-corporation-announces-symbol-change,7177.html   (180 words)

  
 SLA_DM2AV - Rotation Matrix to Axial Vector   (Site not responding. Last check: 2007-11-04)
SLA_DM2AV - Rotation Matrix to Axial Vector   
From a rotation matrix, determine the corresponding axial vector (double precision).
The magnitude and direction of the axial vector can be separated by means of the routine sla_DVN.
star-www.rl.ac.uk /star/dvi/sun67.htx/node60.html   (126 words)

  
 Wiser Financial Services Invests in the Future of Axial Vector Engine Corporation (OTC Bulletin Board: AXVC)   (Site not responding. Last check: 2007-11-04)
AVEC also agreed to issue a three-year warrant to Wiser Financial Services providing it with the right to purchase 500,000 restricted common shares of Axial Vector at a price of $5.00 per share.
Axial Vector(TM) Engine Corporation is a publicly traded company that owns, develops and licenses proprietary intellectual property regarding unique internal combustion engine technologies.
We are applying these technologies to develop an exciting, new, smaller and lighter internal combustion engine that produces significantly greater horsepower and three times more torque on less fuel than conventional engines of similar size.
www.finance2007.com /20060328/wiser-financial-services-invests-in-the-future-of-axial-vector-engine-corporation-otc-bulletin-board-axvc.asp   (1131 words)

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