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Topic: Ceiling function

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Greatest integer function

Modular arithmetic

Monogastric

Floor function

	Ackermann function - Wikipedia, the free encyclopedia
		Ackermann proved that A is a recursive function, a function a computer with infinite memory can calculate, but it is not a primitive recursive function, a class of functions including almost all familiar functions such as addition and factorial.
		In combination with the Ackermann function's applications in analysis of algorithms, discussed later, this debunks the theory that all useful or simple functions are primitive recursive functions.
		The Ackermann function, due to its definition in terms of extremely deep recursion, can be used as a benchmark of a compiler's ability to optimize recursion.
	en.wikipedia.org /wiki/Ackermann_function (1824 words)

	Floor function - Wikipedia, the free encyclopedia
		In mathematics, the floor function is the function defined as follows: for a real number x, floor(x) is the largest integer less than or equal to x.
		Being a piecewise constant function, its derivative is zero where it exists, that is, at all points which are not integers.
		In fancy language: the floor function is part of a Galois connection; it is the upper adjoint of the function which embeds the integers into the reals.
	en.wikipedia.org /wiki/Ceiling_function (619 words)

	Numeric Functions (Site not responding. Last check: 2007-11-06)
		The sine function is used to calculate sine value of a numeric expression passed as an argument.
		The Ceiling function returns the smallest (closest to negative infinity) double the value that is not lesser than the argument and is equal to a mathematical integer.
		Function returns theta component of the point (r, theta) in polar coordinates that corresponds to the point (b, a) in Cartesian coordinates.
	www.daffodildb.com /dbhelp/Numeric_Functions.htm (1433 words)

	CEIL, CEILING, XLCEILING
		CEIL returns the smallest integer that is greater than or equal to X.
		It is functionally equivalent to CEIL, except that the parameter S is required.
		Excel function: XLCEILING is compatible with Excel's CEILING (In Excel compatibility mode, the ``XL'' prefix is not used.)
	www.greytrout.com /manuals/SS_user_guide/node49.html (127 words)

	Math Forum - Ask Dr. Math
		Date: 10/16/2000 at 11:42:14 From: Raymond Subject: Differentiate a ceiling Hi Dr. Math, I have a problem involving differentiating the ceiling function, as follows: D = ceiling(M/p) * (p+H)/b - (k-1) * (p+H)/b where M, H, b and k are constants.
		By the way, the question you asked is not particularly relevant to the problem you were trying to solve: minimizing D as a function of P. Differentiating will only work if the function is continuous and differentiable on the interval where you are seeking the minimum.
		Functions which involve the ceiling function are discontinuous every place that the argument of the ceiling takes an integer value.
	mathforum.org /library/drmath/view/52115.html (617 words)

	DevGuru XPath core functions
		The ceiling function returns the smallest integer that is equal to or is larger than the numeric value of the number argument.
		The lang function tests whether the language specified by the language argument matches the language of the context node (which is normally assigned by the xsl:lang element).
		The namespace-uri function returns a string that is the namespace URI of the node cited in the optional node argument.
	www.devguru.com /Technologies/xslt/quickref/xslt_functions_xpath.html (810 words)

	Ceiling
		For the socioeconomical usage, see glass ceiling.'' A ceiling is the lower surface of a horizontal slab covering a room or internal space.
		The join between a ceiling and a wall is often covered by a molding, which serves to disguise and decorate the join.
		A glass ceiling is an unofficial barrier to an upper management or other prominent position within a company or other organization which certain groups, particularly women, are perceived to be unable to cross, due to discrimination.
	www.awonky.com /pages2/16/ceiling.html (1090 words)

	[No title]
		The Exp function is the inverse of the Ln function.
		Get(WindowLeft) function Format Get(WindowLeft) Parameter None Data type returned number Description Returns a number representing the horizontal distance, in pixels, of the outer edge of the window that the script is acting on (not necessarily the foreground window) relative to the left-most edge of the screen.
		Get(WindowTop) function Format Get(WindowTop) Parameter None Data type returned number Description Returns a number representing the vertical distance, in pixels, of the outer edge of the window that the script is acting on (not necessarily the foreground window) relative to the bottom edge of the menu bar or toolbar.
	www.digfm.org /ref/FMP7Functions.doc (16248 words)

	Ceiling
		The Ceiling function returns the first integer that is greater or equal to a given value.
		The Ceiling of the number is the first integer that is greater or equal to a given number.
		Note: This function is based on the C math library definition of the ceil function.
	www.tradingsolutions.com /functions/Ceiling.html (174 words)

	Interactive Math (Site not responding. Last check: 2007-11-06)
		The ceiling function is a round up function, that is, like the number line is an apartment building, and the ceiling is the smallest integer larger than your number.
		The floor function is a round down function, that is, also treat the number line as an apartment building, and the floor is the largest integer small than your number.
		Periodic functions are useful to study waves in nature, such as sound and electricity.
	home.earthlink.net /~josephmak/math/chapter11_4.html (466 words)

	THE FOUR NINES PUZZLE
		[ceiling] 312 = {300 made with two nines} + 9 + sqrt 9 314 = 315 = _ sqrt sqrt sqrt sqrt sqrt sqrt {101!} _
		Of interest are such functions as the smallest number whose complexity exceeds a given value, and upper and lower bounds on the ratio of a number to its complexity.
		Although the phase observable, which is roughly speaking conjugate to the number operator, does not exist as a hermitian operator -- this is a longstanding and still popular problem, initiated by Dirac in 1927 -- it exists as a so-called general observable and permits a probability interpretation via a phase distribution on the unit circle.
	www.magicdragon.com /EmeraldCity/Nonfiction/four9s.html (17298 words)

	Smart Computing Article - Microsoft Excel 2000 (Site not responding. Last check: 2007-11-06)
		The ROUND function is handy when you want to round values up or down to the nearest power of 10.
		For example, you can use this function to quickly round a number such as 25.8768 to a specific number of decimal places, such as two decimal places (25.88).
		CEILING rounds the value up (away from zero) to the nearest multiple or fraction you designate—what it terms a "significant" value.
	www.smartcomputing.com /editorial/article.asp?article=articles/2000/s1105/20s05/20s05.asp&guid=4g91o400&searchtype=0&WordList=excel (708 words)

	PlanetMath: growth of exponential function
		"growth of exponential function" is owned by pahio.
		Cross-references: power functions, exponential function, real, function, ceiling, positive, lemma
		This is version 8 of growth of exponential function, born on 2004-11-26, modified 2005-06-22.
	planetmath.org /encyclopedia/GrowthOfExponentialFunction.html (106 words)

	Ceiling Fans - Faq's (Site not responding. Last check: 2007-11-06)
		The primary function of ceiling fans is to move air so you feel more comfortable, cooler in summer and warmer in winter utilizing minimal energy to achieve this.
		Ceiling fans make air behave, and a properly directed and main air flow can have either a cooling or warming effect.
		A ceiling fan moves counter-clockwise to cool and provides a breeze that makes the air feel cooler, even through they don't actually lower the temperature.
	www.hansenwholesale.com /faq.html (1576 words)

	Floor function : Ceiling function (Site not responding. Last check: 2007-11-06)
		The floor function is also denoted by $[ x ]$ or $\lfloor x \rfloor$ .
		The floor function isn't continuous, but it is upper semi-continuous.
		The ceiling function is also denoted by $\lceil x \rceil$ .
	www.termsdefined.net /ce/ceiling-function.html (286 words)

	Functions
		The function ceiling is applied against the value 9.6, returning the next highest whole number; which is 10.
		This function is used to perform a rule over a given period of time.
		If a rule is found to be TRUE during this period, the function returns the date that the rule was TRUE on.
	www.aiqsystems.com /Functions.htm (2068 words)

	Ceiling Function Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-11-06)
		Looking For ceiling function - Find ceiling function and more at Lycos Search.
		Find ceiling function - Your relevant result is a click away!
		Look for ceiling function - Find ceiling function at one of the best sites the Internet has to offer!
	www.karr.net /encyclopedia/Ceiling_function (787 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		A=B evaluates B and binds the result to the symbol A. On the other hand, the function definition A(X)=B does not evaluate B until A itself is evaluated.
		Functions with no arguments are treated as dependent on any variable.
		The eigen function does not return anything but stores the eigenvalue matrix in D and the eigenvector matrix in Q. Example 1.
	eigenmath.sourceforge.net /help.html (2172 words)

	Tin Ceilings from The American Tin Ceiling Co. #1 Manufacturer of authentic Tin Ceilings, cornice, backsplash, molding, ...
		Tin Ceilings from The American Tin Ceiling Co. #1 Manufacturer of authentic Tin Ceilings, cornice, backsplash, molding, wall decor and accessories.
		As the Manufacturer of the original.010 gauge tin plated steel 24"x24" tin ceiling panel, we can guarantee that our prices are the lowest on the Internet for nailup and dropin tin ceiling panels in unfinished and powder coated white.
		American Tin Ceiling and SnapLock™ are registered trademarks of The American Tin Ceiling Co. 1825 60th Place East, Bradenton, FL 34203 Toll free : 888-231-7500.
	AmericanTinCeilings.com (581 words)

	Save money with new ceiling fan heater: ceiling fan and space heater in one
		You control the heating function, ceiling fan function and lighting fixture with the touch of a button on the included programmable remote control.
		Choose either a ceiling mount or use the included 4 or 6 inch downrods for high or cathedral ceilings.
		The Reiker ceiling fan heater, hand-painted in Swiss Gold with five 54-inch diameter wooden ceiling fan blades (Swiss Gold on one side and White on the other), fits in with any decor.
	www.buyreiker.com (350 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		Round numbers using the CEILING or FLOOR function The mathematical CEILING function will return an integer that is equal to or greater than the argument given.
		Similar to CEILING is the FLOOR mathematical function, which will return an integer that is equal to or less than the argument given.
		Following is a sample script that illustrates rounding up with the CEILING function and rounding down with the FLOOR function.
	www.geocities.com /s_kamal_kannan/SQL/att-142.txt (219 words)

	ASP Emporium - code library > Math Procedures > Ceiling Function
		Ceiling returns the smallest integer greater than or equal to the given numeric expression.
		Ceiling raises an error if the function input is not convertible to a variant sub-type of double.
		Ceiling always returns a variant of sub-type int.
	www.aspemporium.com /codelib.aspx?pid=113&cid=14 (151 words)

	Visual Basic Math Reals
		Function returns the leftmost of the maximum arguments.
		Function returns the leftmost of the minimum arguments.
		Perform a benchmark on the built-in Visual Basic functions.
	www.entisoft.com /ESTools/MathReals.HTML (695 words)

	SYNTAX - CEILING( ) Function (Site not responding. Last check: 2007-11-06)
		Returns the next highest integer that is greater than or equal to the specified numeric expression.
		Specifies the number whose next highest integer CEILING() returns.
		CEILING rounds a number with a fractional portion to the next highest integer.
	www.laborkey.com /CHM/Key_Syntax_CEILING.htm (38 words)

	Ceiling MathReals Function -- Entisoft Tools 2.0 Object Library (Site not responding. Last check: 2007-11-06)
		Public Function Ceiling(_ ByVal vNumber As Variant _, Optional ByVal vPrecision As Variant _) As Variant
		Function returns Null if vNumber is Null or cannot be fixed up to a number.
		Note: With a precision of 1 (one), function returns the smallest integer greater than or equal to vNumber.
	www.entisoft.com /ESTools/MathReals_Ceiling.HTML (129 words)

	Excel Rounding up hours :: MrExcel Message Board
		If you don't understand a Function ALWAYS try the help files first, they're can be more informative than any advice on the board, the reason I generally find is that people are nearly always saying the same as the help file but in a longer way (I'm VERY guilty of this myself).
		That function was never mentioned by me prior to those posts and up until those posts I DID NOT KNOW ABOUT THE EXISTENCE OF THE CEILING function let alone what it did.
		In her post she ALSO mentioned CEILING along with Floor, average etc. I kindly thanked her and explained that I knew NOTHING about the CEILING function.
	www.mrexcel.com /archive2/3200/3543.htm (1531 words)

	Technology Tip (Site not responding. Last check: 2007-11-06)
		However, the function rounds in multiples of whatever value is specified by the significance argument.
		If the value in C2 is 44, the CEILING function rounds the value 44 up to 50.
		One restriction to keep in mind is that both the number the function is evaluating and the significance argument must be of the same sign.
	www.mocpa.org /tt011105.html (699 words)

	Reiker RRC1200001 Room Conditioner - - Ceiling Fan Space Heater with Remote Control (Swiss Gold Finish)
		Room Conditioner installs just like a ceiling fan; uses the same three standard wires used to install a ceiling fan or a light fixture: a hot wire, a neutral wire, and a ground wire.
		The "close to ceiling" mounting is recommended in rooms with less than 8' ceilings or in areas where additional space is desired from the floor to the room conditioner blades.
		When using a standard downrod installation, the distance from the ceiling to the bottom of the room conditioner blades will be approximately 12".
	comforthouse.org /comfort/ceilingfan.html (620 words)

	Comparing CEILING and FLOOR (Accessing and Changing Relational Data (SQL Server))
		The CEILING function returns the smallest integer greater than or equal to the given numeric expression.
		The FLOOR function returns the largest integer less than or equal to the given numeric expression.
		The return value of both FLOOR and CEILING has the same data type as the input numeric expression.
	msdn.microsoft.com /library/en-us/acdata/ac_8_con_11_3x2q.asp?... (76 words)

	kbAlertz: The mathematical ceiling function (which rounds up to the next higher integral value for any fraction) is not ...
		kbAlertz: The mathematical ceiling function (which rounds up to the next higher integral value for any fraction) is not built into the BASIC language.
		The mathematical ceiling function (which rounds up to the next higher integral value for any fraction) is not built into the BASIC language.
		This function is equivalent to the ceil() function in the C language.
	www.kbalertz.com /kb_Q45686.aspx (477 words)

	Contemporary Home Lighting and Modern Ceiling Fans - Form Plus Function
		Find the contemporary lighting and modern ceiling fans that fit your office or home decor.
		Choose from fresh, new designs as well as the great modern classics in contemporary home lighting and ceiling fans.
		With cutting-edge new technology in contemporary office and home lighting fixtures and modern ceiling fans, the choices can be daunting.
	www.formplusfunction.com (240 words)

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