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Topic: Unit square

	Playpen Demos
		Squares within these windows represent the units in the network, but most windows will appear completely fl at first because the units begin at their resting activation, which is 0 for most units.
		For layers of relation units, the square are arranged in groups of five, surrounded by a magenta border, each representing a single relation unit.
		The brightness of the square depicts the magnitude of the activation: maximum brightness corresponds to the maximum activation of the unit, and fl corresponds to an activation of 0.
	www.cs.indiana.edu /pub/gasser/Demos/PP/demos.html (937 words)

	square (Site not responding. Last check: 2007-10-22)
		square, each with an area of A. Thus the total area of the original square is 5A, or the ratio of the area of the shaded square to the original square is 1/5.
		Now, the area of the shaded square is four grid units; the area of smallest circumscribing square is 16 grid units; the area of each of the right triangles on each side of the original square is 3/2 grid units, or a total of 6 grid units in the four right triangles.
		The area of the shaded square is one unit of the grid.
	jwilson.coe.uga.edu /squareF/square.html (1667 words)

	Square - Wikipedia, the free encyclopedia
		A square as a geometric shape is described and illustrated at square (geometry).
		a square is a difficult astrological aspect of approx.
		Square Pictures was a movie studio spin-off of that company.
	en.wikipedia.org /wiki/Square (212 words)

	The Length of the Diagonal of the Unit Square
		The Length of the Diagonal of the Unit Square
		The length of the diagonal of the unit square equals the square root of 2.
		The length of the diagonal of the unit square equals
	www.cut-the-knot.com /do_you_know/SqRtOf2.shtml (399 words)

	The MSDS HyperGlossary: Area Unit Conversions
		The area of a square measuring one rod (16.5 feet) on a side.
		The area of a square measuring one millimeter (0.001 meters) on a side.
		The area of a square measuring one centimeter (0.01 meters) on a side.
	www.ilpi.com /msds/ref/areaunits.html (646 words)

	Square kilometre article - Square kilometre unit surface area derived units square kilometre hectares square - ... (Site not responding. Last check: 2007-10-22)
		Square kilometre (symbol km²) is an SI unit of surface area.
		It is one of the SI derived units.
		Square kilometre article - Square kilometre definition - what means Square kilometre
	www.what-means.com /encyclopedia/Square_kilometre (105 words)

	NCTM : Illuminations Lessons : Grid and Percent It
		Once the student recognizes that 100 percent is represented by one whole square (i.e., a unit square) and that one percent is represented by one small square, or one-hundredth of a unit square, then 10 × 10 grids can be shaded to illustrate percents less than 1 percent and greater than 100 percent.
		Let the unit square (10 × 10 grid) represent given amounts, and then determine the value of one of the small squares (1 percent).
		Similarly, if the unit square represents 85 pounds, then each small square has a value of 0.85 pounds; and, if the unit square represents 162 days, then the value of each small square is 1.62 days.
	illuminations.nctm.org /index_d.aspx?id=249 (1642 words)

	[No title]
		Therefore the left corner of the square is (1 + tanθ (1 - sinθ) - cosθ - sinθ, cosθ).
		Proof: If 7 unit squares are packed in a square of side 3-ε, at most 5 squares cover the 5 points in the almost unavoidable set shown in Figure 29.
		Proof: If 14 unit squares are packed in a square of side 4-ε, at most 12 squares cover the 12 points in the almost unavoidable set shown in Figure 31.
	www.combinatorics.org /Surveys/ds7.html (3418 words)

	[No title]
		The game is played by opponents moving their units on the gameboard (map) and attacking enemy units until one player fulfills the conditions necessary to win the game.
		The entered forest square may not be adjacent to an enemy Artillery/Horse Battery unit and must be closer to the retreating unit's Reserve Area than the exited forest square.
		LI/Infantry/Guard and Artillery units defending in a forest square may RETREAT into an adjacent forest square provi ded the entered square is not adjacent to an enemy Artillery/Horse Battery unit and is closer to the retreating unit's Reserve Area than the exited square.
	www.dvgc.com /gk/nap_sqrs.rtf (2705 words)

	Unit square - Wikipedia, the free encyclopedia
		The unit square in a Cartesian coordinate system with coordinates (x,y) is defined as the square consisting of the points where both x and y lie in the unit interval from 0 to 1.
		Whether the interval used is open or closed, and at which ends, is at the discretion of the user of the term, who should make it clear which precise definition they are using.
		This page was last modified 19:33, 5 August 2004.
	en.wikipedia.org /wiki/Unit_square (114 words)

	Math Forum - Geometry Problem of the Week (Site not responding. Last check: 2007-10-22)
		Angle OCP is 90 degrees because segment CP is tangent to the circle and perpendicular to the radius CO. The measure of angle OCP minus the measure of the angle OCB equals the measure of angle BCP.
		The radius of the circle is 1 because it is a unit circle.
		The angle is measured to be 45 degrees because all angles of a square are 90 degrees and the diagonal of a square bisects the angle.
	mathforum.org /geopow/fullsolutions/041197.fullsolution.html (13347 words)

	ORDINANCE _____
		Accessory units that utilize alternative green construction methods that cause the exterior wall thickness to be greater than normal shall have the unit square footage size measured similar to the interior square footage of a traditional frame house.
		The square footage of an attached accessory unit shall be counted with the square footage of the single family home in determining whether a large home design permit is required.
		Existing accessory dwelling units shall be relieved of the affordability condition upon payment of fees in the amount previously waived as a result of affordability requirements, subject to an annual CPI increase commencing with the date of application for Building Permit.
	www.ci.santa-cruz.ca.us /cc/archives/03/5-27meeting/5-27rpt/pl146.htm (4460 words)

	Minutes Halkidiki 2004, Appendix I
		Cancellation of an attack on a square - (content of a) motif as a result of which a given square is taken out of range of a white unit (square control cancellation by negative motifs).
		Cancellation of a guard on a square - (content of a) motif as a result of which a given square is taken out of range of a fl unit (square control cancellation by positive motifs).
		Antibattery - a placing of two or more units, which enables one of them to start to act on certain squares as a consequence of the arrival of another unit on its line of action or on the line of another unit by which its mobility is controlled.
	www.saunalahti.fi /~stniekat/pccc/motifs.htm (1089 words)

	[No title]
		That is, the destination square is at the same location, relative to the starting square, as it would be if the maze were an international 16x16 maze.] 3.3 Small square zones, each 1.2 cm x 1.2 cm, at the four corners of each unit square are called lattice points.
		For example, if a mouse re-enters the start square (before entering the destination square) on a run, that run is aborted, and a new run will be deemed begun, with a new time that starts when the starting square is exited.
		The destination square is still located as if it were in the center of a 16x16 unit square.
	alumni.cse.ucsc.edu /~johnw/Projects/uMouse/rules.txt (2085 words)

	Square root of 2 home page (Site not responding. Last check: 2007-10-22)
		While PI is the circumference of a unit circle, the square root of 2 is the diagonal of a unit square.
		The square root of 2 is, of course, related to PI as that sqrt(2)=2sin(PI/4).
		The proof of the irrationality of the square root of 2 is actually quite elegant.
	www.rossi.com /sqr2.htm (187 words)

	Perimeter/Area and Surface Area/Volume Formulae
		Notice each square in the area grid is a unit square.
		Area of a rectangle is represented by a grid of unit squares.
		Area of a square is represented by a grid of unit squares.
	argyll.epsb.ca /jreed/math9/strand3/formulae.htm (408 words)

	[No title]
		The problem of packing equal squares in a square is only recently becoming well known.
		Results were less plentiful, as the computer-aided methods available for circles did not generalize for squares, until recently when an effective algorithm was found [20].
		That is, 272 squares can be packed into a square of side 17 in such a way that the the square can be squeezed together slightly (see Figure 8).
	www.stetson.edu /~efriedma/papers/squares/squares.html (3563 words)

	Unit: Square Tower - Tactics Arena Community Forums
		If the square tower is within two spaces of the edge of the battle area, the wall also continues to the edge of the battle area.
		* a unit can enter a space with a wall in it, or leave such a space.
		In other words, if a unit wants to climb onto the wall, it must start its move from a space adjacent to a vacant section of the wall.
	www.tacticsarena.com /forum/showthread.php?t=6830 (266 words)

	Preschool Express by Jean Warren
		Place one square from each pair in a feelie box and the other squares in a pile.
		Let each child select a square from the pile and use the sense of touch to find its match in the feelie box.
		Staple two 4-inch paper squares together around three sides to make a "pocket." With the opening facing downward, draw small squares on the pocket to create the puppet's face.
	www.preschoolexpress.com /teacher_station/nov03_squares.shtml (459 words)

	Lévy Dragon Tiles the Plane
		Divide each unit square into four congruent isoceles right triangles, each a congruent copy of L0, the isoceles right triangle with base along the unit interval and vertex at (1/2, 1/2).
		But of course, we are also doing this construction to each of the surrounding unit squares, and as Figure 2 illustrates, some of the triangles from those surrounding squares produce new triangles that fill in the gaps.
		Notice in the tilings using L2 that the unit square can be split into 4 smaller squares of area 1/4 that resemble the original pattern of four isoceles right triangles in the tiling with L0.
	ecademy.agnesscott.edu /~lriddle/ifs/levy/tiling.htm (540 words)

	Day to Day Schedule (Site not responding. Last check: 2007-10-22)
		There is an assignment due on Tuesday about these units.
		We worked on ruler and compass constructions, and discussed how to construct a line segment whose length is the square root of a given positive integer.
		The assignment about this unit will be due next Wednesday.
	www.math.nmsu.edu /~pmorandi/math111f98/daytoday.html (513 words)

	Measurement Unit Converter
		A new result appears in the right-hand text box whenever the input value (left-hand box) or either of the unit selections is changed.
		The enormous Hubble unit (one billion light years or 306.595 megaparsecs) is not included here due to size constraints.
		Note: The pound force (lbf) unit represents the force exerted by Earth gravity on a mass of one pound.
	www.people.virginia.edu /~rmf8a/convert.html (427 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-22)
		You can certainly define things like the sine and the cosine using a unit square (or an ellipse or a rectangle, or any other geometric figure).
		For example, if you draw a unit square from (1,0) to (1,1) to (0,1) to (0,0) and graph the y-coordinate as you move around the square counter-clockwise you will get something very similar to the graph y = sin x, except it will be made up of straight line segments rather than a smooth curve.
		But the reason that the trig functions are defined using the unit circle is that scientists often want to describe circular motion (like planets around the sun or satellites around the Earth).
	mathforum.org /library/drmath/view/52321.html (246 words)

	Math Forum: Suzanne Alejandre: Magic Squares
		Magic squares received their name because there are so many relationships between the sums of the numbers filling the squares.
		In these pages you will find that the magic square mathematical game has existed throughout history and in many different parts of the world.
		Allan Adler defines and discusses some special properties of magic squares.
	mathforum.org /alejandre/magic.square.html (120 words)

	RTC # 00-177 attachment
		The following chart indicates the number of units permitted per acre and the minimum lot square footage required per unit in all of the residential Zoning Districts.
		4,000 square feet/unit – this zoning district requires a minimum of 2 acres.
		The R-3 Zoning District permits up to 24 units per acre, and the R-2 Zoning District permits up to 12 units per acre.
	sunnyvale.ca.gov /200005/rtcs/00-177e.htm (143 words)

	Dyadic Equipartitions of the Unit Square - Lagarias, Spencer, Vinson (ResearchIndex) (Site not responding. Last check: 2007-10-22)
		Abstract: Let u_n be the number of ways to divide the unit square into dyadic rectangles of area 2^-n.
		Random Dyadic Tilings of the Unit Square - Janson, Randall, Spencer (2002)
		Lagarias, J., Spencer, J. and Vinson, J. Dyadic Equipartitions of the Unit Square.
	citeseer.ist.psu.edu /lagarias99dyadic.html (453 words)

	Random Dyadic Tilings of the Unit Square (ResearchIndex) (Site not responding. Last check: 2007-10-22)
		A dyadic tiling is a tiling of the unit square with dyadic rectangles.
		In this paper we study n-tilings, which consist of 2 nonoverlapping dyadic rectangles, each of area 2 -n, whose union is the unit square.
		2 Dyadic Equipartitions of the Unit Square - Lagarias, Spencer et al.
	citeseer.ist.psu.edu /619288.html (394 words)

	Square Foot Unit (Site not responding. Last check: 2007-10-22)
		The Square Foot Retaining Wall System features the same Versa-Lok technology and is constructed of the same low absorption, high-strength concrete as other Marshall Stone Versa-Lok Systems.
		The unique trapezoidal shape of the Square Foot Unit allows for straight walls as well as a number of inside and outside curves.
		Providing one of the tightest radiuses among all segmental retaining wall systems, the Square Foot System is available in both weathered and non-weathered finishes and in a variety of colors.
	www.marshallstone.com /retainingwalls/versaloksqft.asp (104 words)

	Area: Unit Square Grid (Site not responding. Last check: 2007-10-22)
		A unit square grid, like the one shown below can be used to measure the area of enclosed spaces.
		By placing a grid of unit squaresof dimensions of 1 cm, over the shape and counting the number of unit squares inside the enclosed space, it is possible to estimate the area.
		Okay, so now you know how to determine area using a unit square grid.
	science.kennesaw.edu /~avesper/scaling/area2.html (165 words)

	Area: Unit Square Grid (Site not responding. Last check: 2007-10-22)
		There are 20 squares inside the image, so the area of the rectangle is 20 cm
		Count all the squares that are either completely inside the shape or more than half inside the shape as 1 and count those less than half inside the shape as 0.
		The total is then an estimate of the are of the shape.
	science.kennesaw.edu /~avesper/scaling/area2b.html (201 words)

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