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Topic: Parallelopiped

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	U.S. Patent: 6025658 - Linear motor, and stage apparatus and exposure apparatus using the same - February 15, 2000
		The plurality of permanent magnets 10a to 10c are arrayed so that poles of opposite polarities (N and S poles) alternately appear, and the thicknesses and widths of the individual permanent magnets are determined so as to generate a sine magnetic field in the space between the opposing stator groups.
		A rectangular parallelopiped permanent magnet 6a is one of the plurality of permanent magnets that form the rotor, and is located at the terminal end portion of the permanent magnet array.
		Rectangular parallelopiped permanent magnets 6a to 6d are those located on the terminal end portion side of the plurality of permanent magnets that form the rotor.
	www.everypatent.com /comp/pat6025658.html (3072 words)

	History Channel Search Results (Site not responding. Last check: 2007-11-01)
		A parallelopiped is a prism that has parallelograms as the bases; a rectangular parallelopiped, or box, is one in which all six faces (four lateral faces and two bases) are rectangles; in a
		The volume, V, of a prism is given by the area, B, of a base multiplied by the altitude, h; in symbols, V = Bh.
		If a, b, c are the lengths of three edges of a rectangular parallelopiped that meet at one vertex, the volume is given by V = abc.
	www.historychannel.com /encyclopedia/article.jsp?link=FWNE.fw..pr135700.a (289 words)

	parallelopiped A Geometric Calculator
		The magnitude of the solid number is the volume of the parallelopiped defined by the three pointy numbers wedged together.
		Previous Questions The surface area the length of the diagonal of a rectangular parallelopiped are 288 sqcm 12 cm respectivelyshow that the rectangular parallelopiped is a cubeFind its volume
		Determinant Let be the parallelopiped formed with as a vertex and the vectors as adjacent vertices.
	propionicacidemia.blog3.racingnewsblog.com /1143468246.html (1224 words)

	Piezoelectric resonator and piezoelectric filter - Patent 5400001
		In a piezoelectric resonator having a piezoelectric bar formed in a substantial rectangular parallelopiped and electrodes formed on a pair of confronting surfaces of the piezoelectric bar for resonating in the length expander mode, the piezoelectric bar has at least a bevel portion extending the longitudinal direction.
		In a ladder filter having series and parallel piezoelectric resonators, the series piezoelectric resonator has the bevel portion to shift a frequency of a spurious response to that of the parallel piezoelectric resonator to suppress the spurious response.
		A piezoelectric resonator as claimed in claim 1, wherein a cross section of said piezoelectric bar perpendicular to said longitudinal direction is a trapezoid.
	www.freepatentsonline.com /5400001.html (6004 words)

	Math Forum - POW Solutions, October 2-6, 1995
		Rectangular parallelopiped a) By putting the shape down flat horizontally and rolling it to the right or left, I got a bunch of rectangles in a row connected by the shorter end of the rectangular parallelopiped.
		The rectangular parallelopiped rolled out would be a square and then a rectangle.
		The sphere would have a path in a straight line(a thin one, may curve) The square pyramid would have a path of triangles, then a point, then a square; a line, a point, then a square; a circular-like path that would create a six-sided figure.
	mathforum.org /pow/solu37.html (4818 words)

	A gentle introduction to Fokker periodicity blocks, part 1, (c)1999 by Paul Erlich
		Just like before, the area of the block is equal to the determinant of the matrix formed from the unison vectors.
		Now, even if we could draw the parallelopiped formed from these unison vectors perfectly in ASCII, we would still have a very hard time determining visually which notes were inside and which were outside.
		Now in order to determine which notes would be inside the parallelopiped, it would be helpful to apply the _inverse_ of this transformation to the whole lattice, because then we would simply have to find which notes are in a 1-by-1-by-1 cube, which is easy to do by just looking at the numbers.
	sonic-arts.org /td/erlich/intropblock3.htm (1804 words)

	Geometry of Triple Product (Site not responding. Last check: 2007-11-01)
		Use three vectors u, v and w to define a parallelopiped with edges given by the vectors.
		The volume of the parallelopiped is the base area times the height.
		Hence it is the component of u perpendicular to the base - so is just the height of the parallelopiped (or its negative if v × w and u have an obtuse angle between them).
	pear.math.pitt.edu /Calculus2/week8/8_3li7.html (159 words)

	Stand for supporting a sign or signholder - Patent 4216932
		As these inserted square tubes traverse the distance between the ground surface and the outer end of the cantilever and as this distance is adjustable or changeable, it can be chosen as dictated by the demands of the site.
		According to this preferred embodiment, it is possible to introduce batteries into the interior of the parallelopiped.
		These batteries may serve to supply a lamp with current; this lamp is used on the sign set up with the stand as its base element.
	www.freepatentsonline.com /4216932.html (3987 words)

	74.312 Assignment 1 (Site not responding. Last check: 2007-11-01)
		Please ensure that your name and student number appear on the assignment, which must be submitted in a folder, with an honesty declaration.
		Notice that each face of the parallelopiped is a polygon, and that the corners appear in a certain order on the polygon, eg, [A, A+C, A+B+C, A+B] is a list representing one of the faces of the parallelopiped.
		This is how you will draw the parallelopiped -- construct each of the 6 faces as a Maple polygon.
	www.cs.umanitoba.ca /~cs312/A1_312.html (845 words)

	36.6.4 BRAGG -- spatial extent of grid (Site not responding. Last check: 2007-11-01)
		Based on the direction of the coordinate axes, a parallelopiped (in the usual case of orthogonal axes, a cuboid) is constructed to contain the molecule completely.
		The atoms are assumed to be spherical, with an extent proportional to their Bragg radii, and the constant of proportionality can be changed from the default value using
		After the parallelopiped has been constructed, the grid is laid out with equal spacing to cover it using the number of points specified on the
	www.molpro.net /info/alpha/doc/manual/node422.html (79 words)

	Contact Lens Spectrum
		• For a parallelopiped, use moderate magnification, position the light source 30 degrees to 60 degrees from the microscope and make the beam 1mm to 2mm wide.
		• For a conic section, use a thin parallelopiped with a short beam height.
		This is most often used to look for cells and flare in the anterior chamber, which are easier to view in a darkened room with an examiner who has been dark-adapted for about five minutes.
	www.clspectrum.com /article.aspx?article=12936 (3922 words)

	Tensor of Inertia for Cube and Parallelopiped (Site not responding. Last check: 2007-11-01)
		TENSOR OF INERTIA CUBE FOR CUBE AND PARALLELOPIPED
		Hold ends of rod to detect presence or absence of wobble when spinning cube and parallelopiped about it.
		Every axis through center of mass of uniform cube is a principal axis of inertia, but not so for noncubic rectangular parallelopiped.
	www.oberlin.edu /physics/catalog/demonstrations/mech/tensors.html (73 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		(The 2n hyperplanes formed in the first paragraph of the proof contain the faces of the parallelopiped.) ********************************************************** TRIVIAL FACT: 2(b) The normal to the hyperplane H({A_{i,k}}) is the vector O{A_{i,k}}.
		Define in an appropriate way (????) a parallelopiped Pi_b corresponding to the parallelogram EFOG of our 2 dimensional version.
		Furthermore, the similtude is the composition of a translation (moving centre M of Pi_b to centre N of Pi_a) with an orthogonal transformation (being a composition of a rotation about an axis through the centre of the parallelopiped and reflections in the hyperplanes through the centre of the parallelopiped).
	www.maths.uwa.edu.au /~keady/MechEng/FourBar/Gazette02/ScalesBham02/nDimThm2.txt (430 words)

	1502notes12mar01.html (Site not responding. Last check: 2007-11-01)
		These things can be positive, negative, or zero, but their magnitude is the volume of the "parallelopiped" or three-imensional figure formed with edges parallel to
		The volume of the parallelopiped with sides parallel to
		Let's now ask about the determinant, to verify that is is defined the same way:
	www.math.gatech.edu /~harrell/1502/XTRAS/1502notes12mar012.html (213 words)

	World Web Math: Vector Calculus: Cross Product
		It's most important property is that if you have a parallelopiped (the three dimensional version of the parallelogram -- a solid with eight pairwise parallel faces) with vertices
		"> a · (b × c) which is the base of the parallelopiped times its height.
		If you found the above proofs a little abstract, you may find it useful to interactively play around with the cross product to develop your intuitions.
	web.mit.edu /wwmath/vectorc/3d/crossp.html (1019 words)

	7.2 Position and clipping (Site not responding. Last check: 2007-11-01)
		P is inside the parallelopiped defined by MASQ.
		performs a split of segment P1 P2 by a rectangular parallelopiped.
		P1 and P2: the extremities of the part of the segment which falls inside the parallelopiped.
	www.math.psu.edu /local_doc/modulef/GB/Guide6/node94.html (584 words)

	No Title (Site not responding. Last check: 2007-11-01)
		This shows us how to make uniform random variables on sets which are not parallelopipeds.
		Given a set A, find a parallelopiped P which contains A.
		Construct uniform random variables on P (using Theorem 1).
	www.uwm.edu /~ericskey/571F99/simu (222 words)

	A J2SE Application Enhances and Classifies Map Data (Site not responding. Last check: 2007-11-01)
		The parallelopiped classifier is a bit more sophisticated than the minimum-distance-to means classifier.
		It works by delineating the boundaries of a training class using straight lines.
		On the other hand, using straight lines to delineate the classes limits the method's effectiveness, and having pixels classified as unknown may be undesirable for some applications.
	www.intel.com /cd/ids/developer/asmo-na/eng/dc/pentium4/54212.htm?page=5 (257 words)

	Whats the term for a 'cube' with sides not equal? - GameDev.Net Discussion Forums (Site not responding. Last check: 2007-11-01)
		This isn't a correct answer, since a parallelopiped doesn't necessarily have 90 degree angles.
		Yes a cuboid is a parallelopiped but a parallelopiped is not necessarily a cuboid.
		Hence the answer is incorrect for the question posed.
	www.gamedev.net /community/forums/viewreply.asp?ID=1369404 (435 words)

	Edo Timmermans' Parallelopipeds (Site not responding. Last check: 2007-11-01)
		Edo Timmermans informed me that he had found 8-piece solutions for parallelopipeds for 3
		Second, it is possible to assemble and disassemble the parallelopipeds without any rotation.
		For the 4-parallelopiped, slide piece H off to the north northeast.
	www.cs.purdue.edu /homes/gnf/book/Booknews/edosppd.html (359 words)

	vtalkd2_.html
		The determinant gives a natural formula for a generalized parallelopiped formed by the
		, it means that the three vectors lie in a plane and so the parallelopiped is squashed down.
		In general, it says that they lie in a smaller than
	www.ms.uky.edu /~sohum/ma322/open_files/talks/vtalkd2_6.html (216 words)

	"Sports Night" Celebrities (2000) (Site not responding. Last check: 2007-11-01)
		Goofs: Errors made by characters (possibly deliberate errors by the filmmakers): Jeremy is at a bar making a wireframe out of toothpicks and olives.
		A parallelogram is a 2-dimensional figure; what he was constructing was a parallelopiped, the 3-dimensional solid analogue.
		Quotes: Jenny: Do you think your career progress is being thwarted by your inability to make a parallelogram?
	imdb.com /title/tt0707421 (256 words)

	In Magic Math Space Tour, kids effectively learn math with a friendly natural animals and/or worms accompanied. With ...
		An exciting comprehensive space tour and return-to-Earth game helps children study math by providing positive stimulation.
		It contains many animations along with the articles like multiples and common multiples, divisors and common divisors, the greatest common divisor, the least common multiples, addition and subtraction of fractions with different denominators, multiplication and division of fractions, proportional graphs, plane geometry (the volume of a cube, rectangular parallelopiped)
		The children can effectively learn mathematics with friendly natural animals and/or worms.
	www.nes-lab.com /english2/mk6.htm (302 words)

	parallelopiped - English-French Dictionary - WordReference.com
		We found no French translation for 'parallelopiped' in our English to French Dictionary.
		Or did you want to translate 'parallelopiped' from French to English?
		Forum discussions with the word(s) 'parallelopiped' in the title:
	www.wordreference.com /enfr/parallelopiped (57 words)

	CFD Software From ACRi -- CFDStudio, ANSWER, PORFLOW, TIDAL and RADM
		CASE 7.01: PARALLELOPIPED CAVITY WITH MOVING WALL - March 2, 1996
		CASE 7.02: FLOW AND HEAT TRANSFER IN AN ANNULAR SPACE
		TITLE CASE 7.01: PARALLELOPIPED CAVITY WITH MOVING WALL - March 2, 1996
	www.acricfd.com /software/porflow/examples/7.htm (311 words)

	Search F-Terms 2B101 FC09 - Devices whereby the entire configuration is a rectangular parallelopiped (Site not responding. Last check: 2007-11-01)
		Search F-Terms 2B101 FC09 - Devices whereby the entire configuration is a rectangular parallelopiped
		- Search FC09 Devices whereby the entire configuration is a rectangular parallelopiped
		Tip: Click term codes to search higher subgroups.
	cxp.paterra.com /ftermsrch2B101FC090.html (75 words)

	Linear Algebra Lecture Notes, 02/23/05 (Site not responding. Last check: 2007-11-01)
		Area of Parallelogram: The parallelogram that is described by the vectors u and v (assuming that the initial points of u and v coincide) has area equal to the absolute value of uxv.
		Volume of Parallelopiped: The parallelopiped that is described by the vectors u, v, and w (assuming that the initial points of the vectors coincide) has volume equal to the absolute value of u*(vxw), where our product involving u is a dot product.
		This scalar triple product is equal to the determinant of the following matrix:
	www.assumption.edu /Alfano/MAT203-SP05/Notes/022305.html (354 words)

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