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	New Mappings · The Sign Function in Science Fiction
		It is precisely this sign function which helps create the cognitive estrangement typically seen as a defining feature of sf.
		In this way, the footnote functions as a form of reality effect, in Barthes sense, to convince the reader of the real status of this text, even though it is clearly fictional.
		Thereby, the sign refers exclusively to a conventionalised architext where the illusion of reality (although absent) is maintained with the same bold confidence in language and referentiality which realist fiction exhibits.
	www.newmappings.net /archives/theory/the-sign-function-in-science-fiction (3278 words)

	Continuous function - Wikipedia, the free encyclopedia
		In mathematics, a continuous function is a function in which arbitrarily small changes in the input produce arbitrarily small changes in the output.
		Such a function can be represented by a graph in the Cartesian plane; the function is continuous if, roughly speaking, the graph is a single unbroken curve with no "holes" or "jumps": if it can be drawn by hand without lifting the pencil from the paper.
		Again consider a function f that maps a set of real numbers to another set of real numbers, and suppose c is an element of the domain of f.
	en.wikipedia.org /wiki/Continuous_function (1432 words)

	Encyclopedia: Sign function
		In mathematics, a function is a relation, such that each element of a set (the domain) is associated with a unique element of another (possibly the same) set (the codomain, not to be confused with the range).
		The signum function is the derivative of the absolute value function (up to the indeterminacy at zero): In mathematics, the derivative is one of the two central concepts of calculus.
		The Dirac delta function, sometimes referred to as the unit impulse function and introduced by the British theoretical physicist Paul Dirac, can usually be informally thought of as a function δ(x) that has the value of infinity for x = 0, the value zero elsewhere such that the total integral...
	www.nationmaster.com /encyclopedia/Sign-function (574 words)

	Semiotic Terms
		A proper sign where the motivation is due to some kind of physical resemblance or similarity between the signified and siginifier.
		For CS Peirce, a sign where the sign function is a conventional rule or coding.
		A functional regularity or stability which is conventional, and thus necessary within the system which manifests it, but within a wider universe it is contingent, or arbitrary.
	pespmc1.vub.ac.be /SEMIOTER.html (517 words)

	The semiotic function and the genesis of pictorial meaning
		The sign, then (synonymous, it would appear so far, with the semiotic function), is not comprehensive enough to delimit the field of semiotics: rather, the domain of semiotics is meaning (or “mediation”), in some wider, yet to be specified sense.
		Whereas the items forming the sign are conceived to be clearly differentiated entities and indeed as pertaining to different “realms” of reality, the “mental” and the “physical” in terms of naive consciousness, the items of the context continuously flow into each other, and are not felt to be different in nature.
		More importantly, perhaps, he argues that imitation does not manifest the semiotic function, but is a prerequisite for it: indeed, it will function as a sign only to the extent that it is taken to refer back to the imitated act, instead of just being another instance of the same kind.
	www.arthist.lu.se /kultsem/sonesson/ImatraCourseTx1.html (3786 words)

	REBOL: Sign? - Function Summary (Site not responding. Last check: 2007-10-22)
		Returns sign of number as 1, 0, or -1 (to use as multiplier).
		function returns a positive, zero, or negative integer based on the sign of its argument.
		The sign is returned as an integer to allow it to be used as a multiplication term within an expression:
	www.rebol.com /docs/words/wsignq.html (68 words)

	Methods and apparatus for implementing and using processors with sign function capability - US Patent 6397237 (Site not responding. Last check: 2007-10-22)
		While the sign(x) function appears to be much less complicated than the mismatch control, the cost in terms of required computations for that function is about 20% of the total number of computations required.
		The hardware required to implement the sign(x) function in accordance with the present invention is relatively simple and allows for the sign(x) function to be determined in a single processor clock cycle.
		Accordingly, the circuit for computing the sign(x) function for the n/k quantized coefficients simultaneously may be viewed as multiple instances of one "atomic" circuit which operate in parallel.
	www.patentstorm.us /patents/6397237.html (4559 words)

	Fortran Lesson 4
		Observe that variables plugged into the function need not be the same variables used in defining the function.
		It is possible to use a previous statement function in the definition of another.
		The practical effect is that sign(x,y) has the same absolute value as x, but it has the same sign as y; thus the sign of y is transferred to x.
	www.math.hawaii.edu /lab/197/fortran/fort4.htm (631 words)

	The semiotic function and the genesis of pictorial meaning
		To master the semiotic function is simply to become capable of using one object, which is felt to be different from another, as the expression of that of which the other is the content.
		An icon, then, is a sign in the case of which the “thing” which serves as its expression in one or other respect is similar to, or shares properties with, another “thing”, which serves as its content.
		If a particular iconic sign produces the illusion of literally seeing in the two-dimensional surface of the expression plane the projection of a scene extracted from real world three-dimensional existence (with or without a suggestion of lineal perspective), then it is more particularly a pictorial sign.
	www.arthist.lu.se /kultsem/sonesson/ImatraCourseTx2.html (4086 words)

	What Does the Bible Say About Tongues? -- WHY DID GOD GIVE THE GIFT OF TONGUES? (Site not responding. Last check: 2007-10-22)
		It served as a sign, authenticating the apostles as representatives of the risen Christ.
		Paul further defined this sign function by de- claring that it was a sign "not to those who believe but to unbelievers" (14:22).
		Tongues-speaking on Pentecost served as an assuring sign to the disciples and a credential sign to the nonbelievers by authenticating the apostles as truly representing Jesus Christ.
	www.rbc.org /ds/q0302/point3.html (1492 words)

	Sign function -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-22)
		To avoid confusion with the (Ratio of the opposite side to the hypotenuse of a right-angled triangle) sine function, this function is often called the signum function.
		The signum function is the ((linguistics) a word that is derived from another word) derivative of the absolute value function (up to the indeterminacy at zero):
		Also, the derivative of the signum function is two times the (Click link for more info and facts about Dirac delta function) Dirac delta function,
	www.absoluteastronomy.com /encyclopedia/s/si/sign_function.htm (182 words)

	Using The Matrix Sign Function To Compute Invariant Subspaces - Bai, Demmel (ResearchIndex) (Site not responding. Last check: 2007-10-22)
		However, the numericalbehavior of the matrix sign function, and its associated divideand -conquer algorithm for computing invariant subspaces, are still not completely understood.
		In this paper, we present a new perturbation theory for the matrix sign function, the conditioning of its computation, the numerical stability of the divide-and-conquer algorithm, and iterative refinement schemes.
		20 The matrix sign decomposition and its relation to the polar..
	citeseer.ist.psu.edu /14000.html (808 words)

	The Matrix Sign Function Method and the Computation of Invariant Subspaces - Byers, He, Mehrmann (ResearchIndex) (Site not responding. Last check: 2007-10-22)
		Abstract: A perturbation analysis shows that if a numerically stable procedure is used to compute the matrix sign function, then it is competitive with conventional methods for computing invariant subspaces.
		15 A parallel algorithm for the matrix sign function (context) - Kenney, Pandey et al.
		3 Condition estimation for the matrix sign function via the sc..
	citeseer.ist.psu.edu /byers94matrix.html (788 words)

	freshmeat.net: Tutorials - SQLite Tutorial
		Next, I demonstrate the simple sign function and the amazingly powerful trick of using this function in SQL select statements to solve complex queries with a single pass through the data, after making a brief mathematical case for how the sign function defines the absolute value and IF conditions.
		The sign function does not exist in sqlite, but that is not a problem, since we can easily create it.
		The sign function can define the absolute value function abs() as the value of a number times its sign, or sign(x)*(x), abbreviated sign(x)(x).
	freshmeat.net /articles/view/1428 (7284 words)

	MATH2070: LAB 3: Roots of Equations (Site not responding. Last check: 2007-10-22)
		Give an example of a function that has a root in the interval [-1, 1], but for which bisection could not be used.
		There are two reasons for writing it as a function instead of a script m-file (without the function header) or by typing everything at the command line.
		In Matlab, function names are passed as quoted strings and their use is only a little more difficult than for numbers.
	www.math.pitt.edu /~sussmanm/2070Fall04/lab_03/lab_03.html (1389 words)

	eBay Begins Rollout of New Sign-In Function
		Signing in to the Community forums will not sign members into other eBay functions (My eBay, selling, bidding, etc.), even though the Sign-In pages look similar.
		Members will need to sign in for each area separately, as is true today.
		Eventually, once the new sign-in function is rolled out across the entire site, members will only have one URL they can sign into: http://signin.ebay.com.
	www.auctionbytes.com /cab/abn/y03/m12/i11/s02 (268 words)

	Ratios (Site not responding. Last check: 2007-10-22)
		One is that a number of functions that are commonly used in scientific applications -- trigonometric functions, logarithms, exponentiation to fractional powers (including square roots) -- yield irrational numbers as values even when applied to rational arguments.
		The numerator and the denominator are natural numbers, and it is an invariant of this module that in every ratio that is released, the numerator and denominator are relatively prime.
		This function presupposes that D is non-zero and that N and D are relatively prime.
	www.math.grin.edu /~stone/courses/fundamentals/ratios.html (1889 words)

	The Generalized Newton Iteration for the Matrix Sign Function
		In this paper we present modified algorithms for computing deflating subspaces of matrix pairs using the matrix sign function.
		Our new algorithms achieve a considerable reduction of the computational cost of the generalized Newton iteration for the matrix sign function and improve the accuracy of the computed deflating subspaces.
		The matrix sign function is thus revealed as an effective technique for applications in which bases for the deflating subspaces are required.
	epubs.siam.org /sam-bin/dbq/article/34869 (187 words)

	Methods and apparatus for implementing a sign function - Patent 6292814 (Site not responding. Last check: 2007-10-22)
		The method of claim 4, further comprising the step of using a bus to perform the steps of setting the sign bit of the output value y and setting said plurality of bits located between the sign bit and said at least one additional bit.
		In this manner, bits y.sub.1 through y.sub.k-1 of the output value y are populated with the value S of the sign bit x.sub.k-1 of the input value x.
		The bit-value S is set to equal the sign bit, x.sub.k-1, and the bit-value T is derived by performing a logical OR of all k bits of x.
	www.freepatentsonline.com /6292814.html (4863 words)

	SQLite Tutorial \| Linux Gazette
		The coalesce function is used in an interesting way for this example.
		Below is an example of the sign function.
		It is possible to have a function name 'S' in this case defined as both an aggregate function and a simple function.
	www.linuxgazette.com /node/view/9663 (5265 words)

	Clarence Irving Lewis [Internet Encyclopedia of Philosophy]
		Cognition, as a vital function, is a response to the significance which items in an organism's experiential environment have for that organism.
		Linguistic signs are secondary to something more basic in our experience which we share with animals generally and which occurs when something within our experience stands for something else as a sign.
		These expectancies, although partly a function of past learning and knowledge of the intension of terms, are simply given in the experience, they are the part we do not invent and cannot change but merely find.
	www.iep.utm.edu /l/lewisci.htm (8415 words)

	ASPN : Python Cookbook : Using introspection to verify Eiffel like contracts (Site not responding. Last check: 2007-10-22)
		Python introspection is really powerfull and the recipe use the inspect module to dynamically create a function wraper wich verify the contract.In fact signature and callsignature functions can be used for any kind of wraper functions, not only for design by contract.
		The basic idea of design by contract as implemented in the Eiffel language is that a system is being made of a number of complementary components -- classes -- which cooperate on the basis of precisely defined statements of mutual obligations and benefits: "contracts", as in contracts between two businesses.
		Preconditions are the obligations that must respect the caller of the function.
	aspn.activestate.com /ASPN/Cookbook/Python/Recipe/81790 (272 words)

	dBforums - Sign function in C++
		Some languages have a function which returns the sign of an integer or double.
		One problem with this function is that there really isn't a zero sign so the sign is
		copysign() function that you have suggested is declared in , and hence alters
	www.dbforums.com /t350252.html (952 words)

	Sign function - Encyclopedia, History, Geography and Biography (Site not responding. Last check: 2007-10-22)
		Sign function - Encyclopedia, History, Geography and Biography
		where the 0.5 subscript of the step function means that $h_{0.5}(0) = 0.5.$
		This encyclopedia, history, geography and biography article about Sign function contains research on
	www.arikah.net /encyclopedia/Signum_function (236 words)

	SIGN Function (Site not responding. Last check: 2007-10-22)
		The SIGN function transfers the sign of a REAL or INTEGER argument.
		If either or both arguments are arrays, the result is an array with the same shape.
		Each element of the result is as though the scalar SIGN operation were performed on each respective element of the argument arrays.
	www.lahey.com /docs/LFENTHELP/NLMARSIGNFn.htm (128 words)

	Oracle/PLSQL: Sign Function
		In Oracle/PLSQL, the sign function returns a value indicating the sign of a number.
		number is the number to test for its sign.
		We are not responsible for any loss or liability incurred by using this information.
	www.techonthenet.com /oracle/functions/sign.php (71 words)

	Sign function - Wikipedia, the free encyclopedia
		The signum function is differentiable with derivative 0 everywhere except at 0.
		It is not differentiable at 0 in the ordinary sense, but under a somewhat generalised notion of differentiation (see distribution), we can say that the derivative of the signum function is two times the Dirac delta function,
		where the 1/2 subscript of the step function means that h
	en.wikipedia.org /wiki/Sign_function (196 words)

	Using the Matrix Sign Function to Compute Invariant Subspaces
		Using the Matrix Sign Function to Compute Invariant Subspaces: SIAM Journal on Matrix Analysis and Applications Vol.
		However, the numerical behavior of the matrix sign function, and its associated divide-and-conquer algorithm for computing invariant subspaces, are still not completely understood.
		An extension of the matrix-sign-function-based algorithm to compute left and right deflating subspaces for a regular pair of matrices is also described.
	epubs.siam.org /sam-bin/dbq/article/29771 (168 words)

	Sign
		The Sign function determines the sign (-1, 0, 1) of a given value.
		The sign of a negative number is -1.
		The sign of a positive number is 1.
	www.tradingsolutions.com /functions/Sign.html (78 words)

	Solution to "The Zero One Puzzle" (Site not responding. Last check: 2007-10-22)
		The closest I could figure was to use the SIGN function, which has the property:
		* sign of B. If B is negative, the sign of B is -1, otherwise it is 1.
		While this solution works for all arguments M and N, it is complicated, non-intuitive, and uses the SIGN function, which is on the borderline between a true arithmetic function and a logical function.
	orion.math.iastate.edu /burkardt/puzzles/zero_one_solution.html (551 words)

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