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Topic: Constant term

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	Constant
		Usually the term constant is used in connection with mathematical functions of one or more variable arguments.
		Constants are usually denoted by lower-case letters from the beginning of the English alphabet, such as a, b, and c.
		In a polynomial (or a generalisation of a polynomial, such as a Taylor expansion or Fourier expansion[?]), the constant term is associated to the exponent zero.
	www.ebroadcast.com.au /lookup/encyclopedia/co/Constant.html (694 words)

	Constant - Wikipedia, the free encyclopedia
		Usually the term constant is used in connection with mathematical functions of one or more variable parameters.
		Constants are by convention, usually denoted by lower-case letters from the beginning of the English alphabet, such as a, b, and c.
		In a polynomial (or a generalisation of a polynomial, such as a Taylor series or Fourier expansion), the constant term is associated to the exponent zero.
	en.wikipedia.org /wiki/Constant (653 words)

	Basics of Bode Plots
		To convert from pole-zero to time constant form in factored form, factor out each pole or zero and multiply the gain K by all the zeros (not at s=0) and divide K by all the poles (not at s=0).
		Since the log of a product of terms is the sum of the logs of the terms, the plot of the overall magnitude for the transfer function is simply the sums of the individual plots when the magnitudes are expressed in decibels.
		Since the overall phase shift is the sum of the terms in the numerator minus the sum of the terms in the denominator, the curve for the overall phase is just the sum of these individual curves.
	ece.gmu.edu /~gbeale/ece_421/bode_basics.html (2032 words)

	Numerical Representation in Algebra - Algebraic Expression (Site not responding. Last check: 2007-10-10)
		The variables of a term are called literal factors, and the constants the numerical coefficient (or simply coefficient), of the term.
		Terms that have the same literal factors differ only in their numerical coefficients, and are called similar terms.
		The new term has the same literal factors as the similar terms, but its coefficient is the sum of the coefficients of the similar terms.
	library.thinkquest.org /10030/3algebr.htm (351 words)

	Limbo Manual (January 1997) [8.1]
		The whole term designates a member of the array or string, indexed by the bracketed expression; the index origin is 0.
		When the term is an array, the value is an array of the same type beginning at the indicated lower bound and extending to the element just before the upper bound.
		When the term is a string, the value is similarly the substring whose first character is indexed by the lower bound and whose last character lies just before the upper bound.
	www.cs.rit.edu /~ats/inferno/limbo/8.1.html (1182 words)

	Geodesy for the Layman
		Each harmonic term has two parts: the trigonometric part which is harmonic and controls the frequency of the oscillations, and a constant multiplier which controls the amplitude.
		Existence of the terms indicate a shift of the center of mass away from the center of the coordinates in the positive hemisphere.
		In the figure, the constant C(sub20) is assumed to be negative, thus representing a mass excess in the equatorial region and a mass deficiency in the polar regions.
	www.floridageomatics.com /publications/gfl/spherical-harmonics.htm (1855 words)

	Cosmological constant - Wikipedia, the free encyclopedia
		The cosmological constant (usually denoted by the Greek capital letter lambda: Λ) was proposed by Albert Einstein as part of his theory of general relativity to achieve a stationary universe.
		In lieu of the cosmological constant, cosmologists often quote the ratio between the energy density due to the cosmological constant and the current critical density of the universe.
		Einstein included the cosmological constant as a term in his field equations for general relativity because he was dissatisfied that otherwise his equations did not allow, apparently, for a static universe.
	en.wikipedia.org /wiki/Cosmological_constant (1027 words)

	Polynomial functions - Topics in precalculus
		The degree of a term is the sum of the exponents of all the variables in that term.
		The constant term of a polynomial is the term of degree 0; it is the term in which the variable does not appear.
		In the general form, the number of constants, because of the term of degree 0, is always one more than the degree of the polynomial.
	www.themathpage.com /aPreCalc/polynomial.htm (1064 words)

	Polynomials: Definitions / Evaluation
		Any term that doesn't have a variable in it is called a "constant" term because, no matter what value you may put in for the variable
		The first term in the polynomial, when it is written in decreasing order, is also the term with the biggest exponent, and is called the "leading term".
		I suppose, technically, the term "polynomial" should only refer to sums of many terms, but the term is used to refer to anything from one term to a zillion terms.
	www.purplemath.com /modules/polydefs.htm (441 words)

	Polynomial Functions Notes
		The polynomial is named or identitied by the term of the highest power.
		r is a divisor of the constant term, a
		and -2 is a factor of 4, the constant term.
	www.mathnstuff.com /math/spoken/here/2class/300/fx/polyn.htm (461 words)

	WMAP Cosmology 101: Cosmological Constant
		For this energy density to be comparable to other forms of matter in the universe, it would require new physics: the addition of a cosmological constant term has profound implications for particle physics and our understanding of the fundamental forces of nature.
		The main attraction of the cosmological constant term is that it significantly improves the agreement between theory and observation.
		A cosmological constant term added to the inflationary model, an extension of the Big Bang theory, leads to a model that appears to be consistent with the observed large-scale distribution of galaxies and clusters, with COBE's measurements of cosmic microwave background fluctuations, and with the observed properties of X-ray clusters.
	map.gsfc.nasa.gov /m_uni/uni_101accel.html (474 words)

	5.4 - Partial Fractions
		Each of those (x-2) factors would receive a constant term in the numerator because x-2 is linear, no matter what power it is raised to.
		Since each factor in the denominator is linear and the rational expressions need to be proper, a constant term was placed in each numerator of each term.
		The simplification would be to reduce the number of signs (don't have the first term negative if possible) and to eliminate the compound fractions by factoring out the least common denominator of the numerators.
	www.richland.edu /james/lecture/m116/systems/partial.html (1322 words)

	Syntax
		Terms are used to denote objects in the world being described; sentences are used to express facts about the world; and definitions are used to define constants.
		An optional term at the end allows for the specification of a default value when all of the conditions are false.
		As with functional terms, there is no syntactic restriction on the number of argument terms in a relation sentence -- the same relation constant can be applied to any finite number of arguments.
	logic.stanford.edu /kif/syntax.html (1676 words)

	GMC Types
		This is a term in an arithmetic constraint of a resource metric.
		The resource is characterized in terms of its measurement capacity in the "capacity" attribute (which is again a constrainable Metric datatype) in the uints in the "units" attribute.
		The type of measurement accomplished is given in the "type" attribute, expressed in the broad terms of the MeasurementType datatype.
	www.isi.edu /~faber/GMC/html/resources.html (1230 words)

	Introduction to ARIMA models (Site not responding. Last check: 2007-10-10)
		This is a first-order autoregressive, or "AR(1)", model with one order of nonseasonal differencing and a constant term--i.e., an "ARIMA(1,1,0) model with constant." Here, the constant term is denoted by "mu" and the autoregressive coefficient is denoted by "phi", in keeping with the terminology for ARIMA models popularized by Box and Jenkins.
		The one-period-ahead forecasts from this model are qualitatively similar to those of the SES model, except that the trajectory of the long-term forecasts is typically a sloping line (whose slope is equal to mu) rather than a horizontal line.
		Upon comparing terms, we see that the MA(1) coefficient corresponds to the quantity 2*(1-alpha) and the MA(2) coefficient corresponds to the quantity -(1-alpha)^2 (i.e., "minus (1-alpha) squared").
	www.duke.edu /~rnau/411arim.htm (1227 words)

	Knowledge Interchange Format
		The value of a functional term without a terminating sequence variable is obtained by applying the function denoted by the function constant in the term to the objects denoted by the arguments.
		If a functional term has a terminating sequence variable, the value is obtained by applying the function to the sequence of arguments formed from the values of the terms that precede the sequence variable and the values in the sequence denoted by the sequence variable.
		In the first case, the content is the equation involving (1) the term formed from the function constant in the definition and the variables in its argument list and (2) the defining term.
	logic.stanford.edu /kif/dpans.html (7938 words)

	Constant term streams (Site not responding. Last check: 2007-10-10)
		Constant term streams allow the user to consider a constant term (atom, character list or character code list) as a source/sink by associating to them a stream.
		Reading from a constant term stream will deliver the characters of the constant term as if they had been read from a standard file.
		Characters written on a constant term stream are stored to form the final constant term when the stream is closed.
	www.wiu.edu /users/mfbg/Prolog/manual034.html (435 words)

	PowerLoom Manual: PowerLoom Grammar
		Terms are used to denote objects in the world being described:
		A relation definition introduces a new logical constant, and states some facts about that constant (e.g., who its parents are in a subsumption taxonomy).
		A rule definitions binds a new constant to a proposition (so that the constant denotes the proposition) and asserts the truth of that proposition.
	www.isi.edu /isd/LOOM/PowerLoom/documentation/manual/manual_12.html (415 words)

	Why do Taylor series work?
		This is because we are scaling the linear term to increase the region in which it is dominant.
		We can do this with a quadratic term: near the origin, the quadratic term is less dominant than the linear and quadratic so we won't destroy the agreement we have so far.
		To increase the agreement, we can use a cubic term; this will be less dominant that what we have so far near the origin and so it will not disturb the agreement we have worked so hard to obtain.
	www.ugrad.math.ubc.ca /coursedoc/math101/notes/series/powers.html (921 words)

	Mathwords: Constant
		As a noun, a term or expression with no variables.
		Also, a term or expression for which any variables cancel out.
		As an adjective, constant means the same as fixed.
	www.mathwords.com /c/constant.htm (51 words)

	Multiplication of a Pronumeral by a Number
		Terms often include pronumerals but may also be a number called a constant term.
		Examples of terms include 4a, c, 5, 9, 5b, 8p, 15q, 20r, 26, n, 14x, 40y, 56z and 28v.
		coefficient of a pronumeral, term, algebraic term, constant
	www.mathsteacher.com.au /year7/ch05_algebra/02_mult/mul.htm (290 words)

	How to do LEAST SQUARES problems in Maple
		This is because the desired equation has a constant term added, "a".
		If there were no such added constant term, this column would not be needed.
		The proper way to get the estimates for the constants in the non-linear case would be to derive an expression for the squared error and then use other Maple functions to minimize this expression.
	web.mit.edu /answers/maple/maple_leastsqrs.html (722 words)

	Constant term streams
		Constant term streams allow the user to consider a constant term (atom, character list or character code list) as a source/sink by associating to them a stream.
		Characters written on a constant term stream are stored to form the final constant term when the stream is closed.
		However, very often, a constant term stream is created to be only read or written once and then closed.
	contraintes.inria.fr /~haemmerl/gprolog-rh/doc/manual034.html (446 words)

	A development of the asymptotic phase and magnitude plots
		First note that this expression is made up of four terms, a constant (0.1), a zero (at s=-1), and two poles (at s=-10 and s=-100).
		The magnitude term is not so straightforward because of the fact that the magnitude terms are multiplied, it would be much easier if they were added - then we could draw each term on a graph and just add them.
		Plotting the constant term is trivial, however the other terms are not so straightforward.
	www.swarthmore.edu /NatSci/echeeve1/Ref/LPSA/Bode/BodeHow.html (3006 words)

	How does the cosmological constant fit into general relativity?
		The inclusion of the cosmological constant term in this equation is of course dictated by whether it is zero or not.
		Because the cosmological constant term is proportional to the metric, the pressure associated with the vacuum is then given by the relation:
		Therefore the cosmological constant remains truly constant, and its gravitational repulsion (or attraction) never changes during the universe's evolution.
	super.colorado.edu /~michaele/Lambda/gr.html (608 words)

	Standard Quadratic (Site not responding. Last check: 2007-10-10)
		Effect of the a constant will be the same as in the general form because a still represents the leading coefficient of the quadratic function.
		The effect of the c constant will also be the same as the general form because the c constant still represents the constant term of the quadratic function.
		The b constant will be different than the b constant in the general form so we will focus on b.
	www.auburn.edu /~gillijm/stnquad.html (249 words)

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