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Topic: Cube arithmetics

	CUBE - OneLook Dictionary Search
		cube, cube : Encarta® World English Dictionary, North American Edition [home, info]
		Cube, cube : UltraLingua English Dictionary [home, info]
		cube, cube (m) : AllWords.com Multi-Lingual Dictionary [home, info]
	www.onelook.com /?w=CUBE&ls=a (410 words)

	Cube - Wikipedia
		The cube is a special kind of square prism and of triangular trapezohedron[?], and is dual to the octahedron.
		A cube can be inscribed in a dodecahedron so that each vertex of the cube is a vertex of the dodecahedron and each edge is a diagonal of one of the dodecahedron's faces; taking all such cubes gives rise to the regular compound of five cubes.
		In arithmetics and algebra, the cube of an entity x is the result of multiplying it with itself two times.
	wikipedia.findthelinks.com /cu/Cube.html (251 words)

	Arithmetic Summary
		Arithmetic is a branch of mathematics concerned with the numerical manipulation of numbers using the operations of addition, subtraction, multiplication, division, and the extraction of roots.
		Arithmetic or arithmetics (from the Greek word αριθμός = number) is the oldest and simplest branch of mathematics, used by almost everyone, for tasks ranging from simple daily counting to advanced science and business calculations.
		Algorism comprises all of the rules of performing arithmetic computations using a decimal system for representing numbers in which numbers written using ten symbols having the values 0 through 9 are combined using a place-value system (positional notation), where each symbol has ten times the weight of the one to its right.
	www.bookrags.com /Arithmetic (3476 words)

	cube (Site not responding. Last check: )
		Cube (geometry) — a shape in three or higher dimensions.
		Cube (arithmetics) — the third power of a number.
		Nintendo GameCube, often referred to as cube for short.
	www.yourencyclopedia.net /Cube.html (160 words)

	Cube (arithmetic) - Wikipedia, the free encyclopedia
		The term cube or cube number is often used to refer to a perfect cube i.e.
		With even cubes, there is considerable restriction, for only 00, o2, e4, o6 and e8 can be the last two digits of a perfect cube.
		The inverse operation of finding a number whose cube is n is called extracting the cube root of n.
	en.wikipedia.org /wiki/Cube_(arithmetics) (413 words)

	APEmille - towards TFlops Systems (Site not responding. Last check: )
		The main architectural enhancements over the previous generation are the availability of local addressing on each node, the support of floating-point (FP) arithmetics in double precision and for complex data types, and the realisation of a multiple SIMD architecture.
		The arithmetic processor (called "Jmille") supports several data types: Floating-point normal operations (a*b + c) are implemented for 32- and 64-bit IEEE format, as well as for single precision complex and vector (pairs of 32-bit) operands.
		The local address generation unit, which is independent of the arithmetic operations of Jmille, combines the global address received from Tmille with a local address offset on the node.
	www-zeuthen.desy.de /ape/html/APEmille (893 words)

	cube - Hutchinson encyclopedia article about cube
		Cubes and cuboids are both six-faced solid shapes.
		The faces on a cube are all squares while the faces on a cuboid are all rectangles.
		In geometry, a solid shape whose faces are all squares.
	encyclopedia.farlex.com /cube (156 words)

	Puzzle Playground - Puzzles with Numbers
		It is said that two cubes with twelve digits on their faces are enough to produce any date of year from them.
		Three cubes with three numbers on them should be arranged to create a number divisible by 7.
		Despite the fact you need just simple arithmetic skills to get to the solution, it will make you be thinking slightly out of the box.
	www.puzzles.com /PuzzlePlayground/Numbers.htm (408 words)

	wikien.info: Main_Page (Site not responding. Last check: )
		Cube (geometry) — a shape in three or higher dimensions.Cube (arithmetics) — the third power of a number.Cube (movie) — a 1997 Canadian movie.Nissan Cube — a type of car.Nintendo GameCube, often referred to as cube for short.Cube (game)..
		It is the volume of a cube with edges 1 megametre (106 m) in length.
		In combinatorics and recreational mathematics, cubing the cube refers to the analogue in three dimensions of squaring the square: that is, given a cube C, to divide it into finitely many smaller cubes, not all congruent.
	www.alanaditescili.net /browse.php?title=C/CU/CUB (4220 words)

	bigrational (Site not responding. Last check: )
		A bigrational consists of a pair of two bigints (num, den), the numerator num and the denominator den.
		The numerator num and the denominator den of a bigrational are always coprime; the denominator den is positive.
		Arithmetic is done using the algorithms described in [
	www.math.psu.edu /local_doc/LiDIA/node23.html (994 words)

	Leonardo of Pisa - LoveToKnow 1911
		Leonardo cannot be regarded as the inventor of that very great variety of truths for which he mentions no earlier source.
		The Liber abaci, which fills 459 printed pages, contains the most perfect methods of calculating with whole numbers and with fractions, practice, extraction of the square and cube roots, proportion, chain rule, finding of proportional parts, averages, progressions, even compound interest, just as in the completest mercantile arithmetics of our days.
		Among the contents of this book we simply mention a trigonometrical chapter, in which the words sinus versus arcus occur, the approximate extraction of cube roots shown more at large than in the Liber abaci, and a very curious problem, which nobody would search for in a geometrical work, viz.
	www.1911encyclopedia.org /Leonardo_of_Pisa (970 words)

	genetics
		Indeed, it proposes a generalization of the conventional arithmetic freed from the rigorous counting requirements specific of the sapiens, in the same way as geometry was generalized by freeing it from Euclid's postulate required for the measurement of the human properties.
		Such is nevertheless the case of the arithmetic carried out by Nature on the scale of quantum micro-physics, the counting of which is affected by a bug that one could refer to as a dual bug.
		One edge of the latter is situated on the central axis of the cube.
	perso.wanadoo.fr /xavier.sallantin/genetics.html (10679 words)

	Arnoux cube
		The second of Boyer’s cubes contains 48 simple magic squares and because all planar squares have diagonals that sum correctly, the tube is classed as ‘diagonal’ magic.
		He probably did not construct the actual cube, because he claimed the cube was associated (which it is not).
		This cube is repeated 27 times, using the consecutive numbers from 1 to 3375 to form the order 15 cube.
	members.shaw.ca /hdhcubes/cube_big.htm (2377 words)

	Cube (Site not responding. Last check: )
		The cube is a special kind of square prism and of triangular trapezohedron[?], and is dual to the octahedron.
		A cube can be inscribed in a dodecahedron so that each vertex of the cube is a vertex of the dodecahedron and each edge is a diagonal of one of the dodecahedron's faces; taking all such cubes gives rise to the regular compound of five cubes.
		In arithmetics and algebra, the cube of an entity x is the result of multiplying it with itself two times.
	www.city-search.org /cu/cube.html (569 words)

	Abacus - Wikipedia, the free encyclopedia (Site not responding. Last check: )
		Unlike the simple counting board used in elementary schools, very efficient suanpan techniques have been developed to do multiplication, division, addition, subtraction, square root and cube root operations at high speed.
		Bead arithmetic is the calculating technique used with various types of abaci, in particular the Chinese abacus.
		The khipu of the Inkas was a system of knotted cords used to record numerical data - like advanced tally sticks - but was not used to perform calculations.
	www.hartselle.us /project/wikipedia/index.php/Abacus (1101 words)

	Mathematics (Site not responding. Last check: )
		Apart from discussing astronomy, he laid down procedures of arithmetic, geometry, algebra and trigonometry.
		The procedures of arithmetic, geometry, algebra and trigonometry were laid down by him, apart from the tremendous impetus provided by his rules and calculations to the field of astronomy.
		Arithmetics made its first appearance in the Agnichayana section of the Shatapatha Brahmana.
	www.indiaheritage.com /science/math.htm (2103 words)

	z-fail shadowing problem - GameDev.Net Discussion Forums
		Suppose you have a cube in the scene and you are looking at it from one side.
		the cube is inbetween the light source and you.
		Given such situation, the z-fail shadowing algorithm is shadowing the inner faces of the cube, which techniqually is correct becase the inner surfaces [ the back faces ] are inside the shadow volume, but I AM NOT SUPPOSE TO SEE the shadows on the inner faces, isn't it.
	www.gamedev.net /community/forums/topic.asp?topic_id=160040&whichpage=1󣋴 (1082 words)

	Citations: A Library for Computational Number Theory - LiDIA (ResearchIndex) (Site not responding. Last check: )
		The simple arithmetics were normal C floating point arithmetic, and null arithmetic, which only counts the number of calls to each operation.
		To generate the public basis from R, we performed 2n number of mixing steps, where each step is performed by a unimodular matrix whose all elements in its diagonal are 1 and one of its columns is composed of....
		The simple arithmetics were normal C double floating point arithmetic, and null arithmetic, which only counts the number of calls to each operation.
	citeseer.ist.psu.edu /context/628393/0 (1188 words)

	The Millennium Sphere
		We have chosen the Platonic solids - the four-sided tetrahedron, the six-sided cube, the eight-sided octahedron, the twelve-sided dodecahedron and the twenty-sided icosahedron - as the fundamental geometry of these patterns.
		Although instrinsically beautiful, these figures link us through Plato - one of the key figures in Western thought - to the most ancient intellectual tradition on the one hand, and to the most recent thinking on the other; they are applicable to the cellular structure of viruses, to engineering construction and to many other applications.
		The little-known fact that the entire geometry of the Platonic solids results, like the natural musical scale, from the simple ratios of the first three whole numbers - one, two and three - is of such elegance that it is a perpetual source of wonder and deserves to be better appreciated.
	doc1.cooper.edu:8080 /gateway/millennium_sphere/site/physical_element.html (1127 words)

	ADASS 2003 Conference Proceedings
		Several Python scripts are written to produce the needed calibration data and to generate the final result, a wavelength calibrated data cube with the instrumental signatures removed.
		The near-IR integral field spectrometer SPIFFI built at MPE was attached to the UT2 (Kueyen) telescope of the VLT between February and April 2003 as a guest instrument with a total amount of 20 observing nights.
		The resulting monochromatic images are stacked behind each other in z-direction to form a cube with 2560 spectral pixels which is stored as a FITS data cube.
	www.adass.org /adass/proceedings/adass03/P4-2/P4-2.html (978 words)

	Problems Statement: CERC 2000
		All parts of the transceiver are shipped in unit blocks that have the form of cubes of exactly the same size.
		the whole side of one cube is connected to the whole side of another cube.
		Note that the IRDA beam can go between two cubes that touch each other by their edge, although there is no space between them.
	www.acm.inf.ethz.ch /ProblemSetArchive/B_EU_CERC/2000 (5052 words)

	BSHM: Education -- New Abstracts
		Comparing the cube root algorithm from Hammond’s Elements of algebra (1772), a book the author has worked from with her class, with the algorithm she found on a sheet of paper belonging to a John Martin in early C19.
		Among the reasons why secondary school teachers might consider using history are to show: that today’s ‘elementary’ concepts may not have been obvious to even great past mathematicians; that the personalities of mathematicians have the same problems as everyone else; and that even today there can be disputes about ideas.
		Arithmetic copybooks or exercise books from the 19th century reflect the contents of the textbooks from which they were copied, often with a utilitarian purpose and stressing rules rather than reasons.
	www.dcs.warwick.ac.uk /bshm/education/new.html (3432 words)

	ALIAS, a System Solving Library Based on Interval Analysis
		Interval arithmetics is a well known method that enables one to compute bounds for almost any analytically defined expression F(X), being given ranges for the unknowns.
		The interval obtained by applying interval arithmetics on a mathematical expression is called the ‘interval evaluation’ of the expression and can be implemented so that numerical round-off errors are taken into account, ie the interval evaluation will always include the exact value of the mathematical expression for any instance of the unknowns within their ranges.
		Due to the mechanical structure of the robot only a limited workspace may be reached by the hand of the robot.
	www.ercim.org /publication/Ercim_News/enw50/merlet.html (1231 words)

	Binghamton Math Club
		It can be used to prove that there is no algebraic formula for the solutions of polynomials of fifth degree or higher involving taking roots and using the basic arithmetical operations.
		It also shows that using just ruler and compass, a general angle cannot be trisected, and a cube cannot be doubled in volume.
		Some other important topics that may be covered include the congruence theorems of Euler and Fermat, and such methods of solving congruences as the Chinese remainder theorem, leading to the quadratic reciprocity theorem, a remarkable relationship between quadratic equations in different modular arithmetics.
	www.math.binghamton.edu /MATH/dept/math_club/courses.htm (1405 words)

	ACSIS DATA REDUCTION COOKBOOK
		Double-clicking at a position show the spectrum within the collapse window (this in general is not useful, but you can always change the plot limits again on the spectrum tab).
		Note that splat can be used on cubes in which case it will show the averaged spectrum I believe.
		The other method is to, after the trial fit, in the control window select the 'Two spectra arithmetics' button (^%^), select the original spectrum on the left and the fit on the right and hit 'Subtract'.
	www.jach.hawaii.edu /JCMT/spectral_line/acsis_reduction_crash.html?printable=1 (1331 words)

	TESSERAL ADDRESSING
		The addressing mechanism is supported by an arithmetic (mathematically the system is a field), which in turn provides for both translation and rotation.
		Tesseral arithmetic is essentially translation, the translation distance being the number added/subtracted.
		Multi-digit addition is performed by using a carry in a fashion exactly analogous to ordinary arithmetic with numbers expressed to the base ten.
	www.csc.liv.ac.uk /~frans/OldResearch/dGKBIS/tesseral.html (2927 words)

	RF21 Freeware Complex Arithmetic
		Some of complex arithmetic is done by standard vector functions such as plus##(...) and minus##(...) for addition and subtraction, and norm2(...) for computing the absolute value of a complex number.
		The rest of complex arithmetics is done by the specialized functions of the following table.
		For polynomials up to grad 4, computing their complex roots is supported (see the polynomial page).
	www.members.aol.com /rf24exe/complex.html (544 words)

	Untitled Document
		We have chosen the Platonic solids - the four-sided tetrahedron, the six-sided cube, the eight-sided octahedron, the twelve-sided dodecahedron and the twenty-sided icosahedron - as the fundamental geometry of these patterns.
		Although instrinsically beautiful, these Þgures link us through Plato - one of the key Þgures in Western thought - to the most ancient intellectual tradition on the one hand, and to the most recent thinking on the other; they are applicable to the cellular structure of viruses, to engineering construction and to many other applications.
		As shown on the models, the ratios 1/1, 1/2, 1/3 and 2/3 give rise in turn to the octahedron, the icosohedron, the cube and tetrahedron and Þnally the dodecahedron.
	www.cooper.edu /engineering/me/sphere/5phisical.html (1094 words)

	sum difference cubes
		A perfect cube is a number or polynomial that is an exact third power.
		Factoring the sum or difference of two cubes requires the use of a special factorization pattern that you need to memorize.
		Factoring the sum or difference of 2 cubes yields 2 factors.
	www.algebra-online.com /sum-difference-cubes-1.htm (208 words)

	Real numbers 1
		The Arabic mathematicians went further with constructible magnitudes for they used geometric methods to solve cubic equations which meant that they could construct magnitudes whose ratio to a unit length involved cube roots.
		It is a very common thing amongst authors of arithmetics to treat numbers like √8 and similar ones, which they call absurd, irrational, irregular, inexplicable or surds etc and which we deny to be the case for number which turns up.
		His first thesis was to argue against the Greek idea that 1 is not a number but a unit and the numbers 2, 3, 4,...
	www-groups.dcs.st-and.ac.uk /~history/HistTopics/Real_numbers_1.html (2733 words)

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