
	Where results make sense

Topic: Functional derivative

Related Topics

DeWitt notation

Derivative

Calculus of variations

Functional analysis

Lie derivative

Gaussian integral

Lagrangian

Statistical mechanics

Feynman diagram

Lagrangian mechanics

Perturbation theory (quantum mechanics)

List of publications in physics

Vertex

Mnemonic

Cross section

In the News (Tue 14 Feb 12)

EXECUTIVE POWER

Iran

ANALYSIS

Pakistan

Family compact

	Viral vectors expressing fusion of viral large envelope protein and protein of interest - Patent 20070099262
		Functional derivatives of the instant L polypeptide include fragments, parts or portions of the parent molecule which retain the ability of the L polypeptide to associate with the particle formed by S polypeptide, or at least where such ability is not substantially lost.
		Functional derivatives of the instant S polypeptide retain the ability of the ability of the S polypeptide to form virus-like particles, or at least where such ability is not substantially lost.
		Functional derivatives of the subject nucleic acid molecules retain the ability of the parent molecule to encode a polypeptide having the particle assembly function of S polypeptide or the particle associating function of L polypeptide.
	www.freepatentsonline.com /20070099262.html (12174 words)

	Derivative - Real Time & Delayed Quotes, Charts, News and Data for Futures, Stocks, Commodities and Indexes - ...
		The derivative of a function f at x is geometrically the slope of the tangent line to the graph of f at x.
		In this case, the Second Derivative Test can still be used to characterize critical points, by considering the eigenvalues of the Hessian matrix of second partial derivatives of the function at the critical point.
		The common thread is that the derivative at a point serves as a linear approximation of the function at that point.
	www.tradesignals.com /glossary/Derivative (2160 words)

	An algorithm for RELAX NG validation
		If we can compute derivatives, then we can determine whether a pattern matches a node: a pattern matches a node if the derivative of the pattern with respect to the node is nullable.
		Computing the derivative with respect to an attribute done in a similar to computing the derivative with respect to a text node.
		Computing the derivative of a pattern with respect to a list of children involves computing the derivative with respect to each pattern in turn, except that whitespace requires special treatment.
	www.thaiopensource.com /relaxng/derivative.html (2774 words)

	Functional (mathematics) - Wikipedia, the free encyclopedia
		The secondary usage in the compound linear functional arises from functional analysis.
		While in the foundational period of functional analysis from 1900-1920, it was largely the study of vector spaces such as the Lp spaces that are function spaces, the later axiomatic approach made no such assumption.
		The name linear functional, however, was carried over and applied to the dual space construction, in the general case.
	en.wikipedia.org /wiki/Functional_(mathematics) (408 words)

	The Beverage Institute for Health & Wellness
		In other words, functional ingredients are believed to promote health or, in some cases, as part of a healthy diet, reduce the risk of certain diseases.
		Functional food components can be naturally found in foods and beverages or may be added to certain foods.
		The safety of functional foods is assured by the same legal and regulatory regulations that apply to all foods in the US.
	www.beverageinstitute.org /nutrition/functional_ingredients.shtml (585 words)

	Joomla! - Open Source Does Matter ...
		and not be considered a derivative work according to copyright law but this would have to be evaluated on a case-by-case basis.
		If you believe your extension is not a derivative work we strongly recommend that you seek professional legal advice.
		We believe that the code elements of a template must be licensed under the GNU GPL because they are derivative works.
	www.joomla.org /content/view/3510/1 (1685 words)

	Enjay Functional Solutions - Conditions of Use
		In addition, when you use any current or future Enjay Functional Solutions service or visit or purchase from any business affiliated with Enjay Functional Solutions, whether or not included in the Enjay Functional Solutions Web site, you also will be subject to the guidelines and conditions applicable to such service or business.
		All other trademarks not owned by Enjay Functional Solutions or its subsidiaries that appear on this site are the property of their respective owners, who may or may not be affiliated with, connected to, or sponsored by Enjay Functional Solutions or its subsidiaries.
		By visiting Enjay Functional Solutions, you agree that the laws of the state of California, without regard to principles of conflict of laws, will govern these Conditions of Use and any dispute of any sort that might arise between you and Enjay Functional Solutions or its affiliates.
	enjayonline.com /conditions_of_use.htm (1240 words)

	TagCommons » Blog Archive » Functional Requirements for Sharing Tag Data
		These days, a good way to look at functional requirements for software is to identify use cases and then derive engineering requirements.
		An excellent example of this is the Revyu.com site, which is a user review site with tagging that exposes its tag data using a tag ontology and exposes its data in RDF.
		For example, it is possible to capture the date of a tag relationship being asserted, but the information in the relation can be meaningfully used without knowing its date.
	tagcommons.org /2007/02/28/functional-requirements-for-sharing-tag-data (2666 words)

	The Functional Catalogue (FunCat)
		The FunCat is an annotation scheme for the functional description of proteins from prokaryotes, unicellular eukaryotes, plants and animals.
		Taking into account the broad and highly diverse spectrum of known protein functions, the FunCat consists of 28 main functional categories (or branches) that cover general fields like cellular transport, metabolism and cellular communication/signal transduction.
		After species selection, pasting or loading a local file of systematic or gene names the functional distribution of your gene set will be shown as an interlinked WEB page (up to 500 entries) and/or a tab delimited table for download.
	mips.gsf.de /projects/funcat (467 words)

	FASB: Foreign Currency Hedges: Measuring the Amount of Ineffectiveness in a Net Investment Hedge
		It should be noted that, in order to designate a derivative as a hedge of a net investment, an entity is required to have an expectation that the derivative will be effective as an economic hedge of foreign exchange risk associated with the hedged net investment.
		For example, if an entity designates a derivative that has an underlying exchange rate involving a currency other than the functional currency of the net investment, that exchange rate must be expected to move in tandem with the exchange rate between the functional currency of the hedged net investment and the investor's functional currency.
		The determination of whether the derivative qualifies for net investment hedge accounting should be consistent with the approach used in the prior application of Statement 52 to determine whether a hedging instrument would be economically effective as a net investment hedge.
	www.fasb.org /derivatives/issueh8.shtml (1578 words)

	Functional derivative - Wikipedia, the free encyclopedia
		In mathematics and theoretical physics, the functional derivative is a generalization of the directional derivative.
		For example, when the space of functions is a Banach space, the functional derivative becomes known as the Fréchet derivative, while one uses the Gâteaux derivative on more general locally convex spaces.
		We give a formula to derive a common class of functionals that can be written as the integral of a function and its derivatives (a generalization of the Euler-Lagrange equation), and apply this formula to three examples taken from physics.
	en.wikipedia.org /wiki/Functional_derivative (889 words)

	Functionals and functional derivatives
		F is thus a function of the function y.
		A functional takes as input a function y(x) on a domain--not the value of the function at a specific point x, but all the values of y at all the x's in the domain.
		This is the prototype for all calculations of the functional derivative.
	julian.tau.ac.il /~bqs/functionals/node1.html (466 words)

	[No title]
		The primes on the quantities in the foregoing equation denote the functional derivatives with respect to the density r, e.g.
		Here "well-behaved" means that all of the indicated functional derivatives exist and that the indicated functional series converges, at least in a region near r.
		All that is necessary is for the functional derivatives to exist and the series to converge, at the density of interest.
	www.unc.edu /~shubin/part2/thesis1.htm (2083 words)

	9.7.1 Continuum formulation
		The connection between a functional and the friction is afforded through the self-adjointness of the friction operator.
		More general boundary conditions can be derived from the second type of natural boundary condition, yet they are not considered here since MOM employs no-slip on the side boundaries.
		Hence, the horizontal tension is functionally dependent on both the velocity and its partial derivatives, whereas the shearing strain is dependent only on the velocity partial derivatives.
	www.gfdl.noaa.gov /~smg/MOM/web/guide_parent/s2node123.html (395 words)

	[No title]
		Using one particle wave functions expanded variationally in a basis set, the computational requirements grow in powers anywhere from 3-7 of the number of basis functions.
		Density of states derivable* from assumption that, for high quantum numbers, the number of distinct E levels for E
		The Hartree-Fock equations are derived by minimization of the total energy expressed in terms of this determinental wave function.
	www.sdsc.edu /~kimb/dft_lecture.html (1259 words)

	FASB: Embedded Derivatives: When Embedded Foreign Currency Derivatives Warrant Separate Accounting
		Statement 52 defines functional currency as the currency of the primary economic environment in which the entity operates; normally, that is the currency of the environment in which an entity primarily generates and expends cash.
		The currency used by a substantial party to the contract as if it were the functional currency because the primary economic environment in which the party operates is highly inflationary (as discussed in paragraph 11 of Statement 52).
		Thus, the functional currency of a guarantor is not relevant to the application of paragraph 15(a).
	www.fasb.org /derivatives/issueb21.shtml (1445 words)

	Evaluation of the QFT generating functional (Site not responding. Last check: )
		The functional approach to quantum field theory often uses a generating functional from which one can obtain all the interesting quantities such as n-point-functions and, through the reduction formula, S-matrix-elements.
		The generating functional of an interacting field with source J is given by the formula (which, I hope, is not too unreadable): / 4 i
		Now, one mostly evaluates the generating functional for interacting fields by power-expanding the operator on the right-hand side of the above formula, but I heared that there are also situations where one can evaluate the functional exactly.
	www.lns.cornell.edu /spr/2004-04/msg0060594.html (224 words)

	The Catholic University of America - Mathematics Department (Site not responding. Last check: )
		Functions and their graphs; linear functions; functional models; derivative, rate of change and marginal analysis; approximation by differentials; chain rule, implicit differentiation and higher-order derivatives; curve sketching: relative extrema, concavity; absolute extrema; exponential functions and natural logarithms and their derivatives; compound interest.
		Coordinate systems, functions, graphs, one-to-one and inverse functions; composition of functions; lines and slopes; limits, continuity, maximum and minimum, derivative of a function of one variable; differentiation of polynomials, chain rule; derivatives of trigonometric functions and their inverses; implicit differentiation; antiderivative and definite integral; fundamental theorem of calculus.
		Riemann-Stieltjes integral; equicontinuous families of functions and Arzela-Ascoli theorem; Tietze's extension theorem; Baire category theorem; differentiation and integration of a function of several variables; fixed point theorem; implicit function theorem; inverse function theorem; existence and uniqueness theorems for ordinary differential equations.
	math.cua.edu /courses.cfm (2191 words)

	numerical analysis MAPLE library - diffquo_uniform (Site not responding. Last check: )
		a function of three arguments (described below) which represents a finite difference approximation to the specified order of derivative using "left" number of equally spaced points to the left of x = x0 and "right" number of equally spaced points to the right of
		derivative using two points to the left and four points to the
		approximation to the derivative of the exponential function using
	www.pcs.cnu.edu /~bbradie/380manual/diffquo_uniform.html (238 words)

	The Euler equation
		When the functional is a simple integral, Euler's equation gives a powerful formula for quick calculation of the functional derivative.
		(18) is a handy formula that is applicable whenever the functional is of the form (16).
		This is Euler's formula, an extremely useful short cut to the functional derivative when the functional is of the form (19).
	julian.tau.ac.il /~bqs/functionals/node3.html (320 words)

	Sundance 2.1
		Deriv represents a first-order functional derivative used in the internal automatic differentiation process
		Derivative is an expression subtype representing a first-order spatial partial derivative operator
		Class MultipleDeriv is a multiple functional derivative operator represented as a multiset of first-order derivatives
	software.sandia.gov /sundance/annotated.html (2560 words)

	Variational Statement of the Poisson Eq.
		The discretized Laplacian operator is a finite difference (FD) approximation to the second derivative operator, summed over three Cartesian directions.
		These are considered in Section 2.4.4.] Thus the second derivative function can be thought of as a vector (indexed by position along the x axis) which can be obtained by linear transformation of the function
		is the 1-d finite difference second derivative matrix, with non-zero elements of -2 on the diagonal and +1 one off-diagonal.
	bessie.che.uc.edu /tlb/rctb6/node7.html (526 words)

	Variational Derivatives
		is a functional, i.e., a mapping from the space possible voltage functions of time onto a subset of the real numbers that describes the average activation.
		The functional derivative of the average activation is defined as
		The partial derivatives with respect to the peak conductance, conductance slope, and midpoint voltage require the computation of
	www.klab.caltech.edu /~stemmler/sec2.html (372 words)

	Exact Density Functional Theory with Quantum Monte Carlo
		Density functional theory is the standard method for studying the electronic structure of molecules and solids.
		The fact that an exact density functional exists which gives the energy doesn't tell us what the functional is. Practitioners use a variety of approximations to this true density functional.
		The unknown density functional is traditionally written as the sum of five pieces.
	people.ccmr.cornell.edu /~cyrus/ExactDFT/ExactDFT.html (654 words)

	Kohn-Sham theory
		9], which is the basis of all modern implementations of density functional theory.
		Such a functional would be of no use, however, if it did not lend itself to variational calculation.
		We have consequently reposed the problem of minimizing the energy functional as the solution of a set of one-particle problems.
	www.cchem.berkeley.edu /mhggrp/garnet/density/node5.html (509 words)

	d/dx' (x) ? WTF
		(1) d/dx (x')^2, where x is a function of t and x' is the first derivative of x with respect to t.
		I think the answer to the first one is 2x'' where x'' is the second derivative of x with respect to t, but I'm really not sure and I have no idea with the second one.
		Since x'(t)^2 is a functional of x as well as x(t) is a functional of x'.
	www.physicsforums.com /showthread.php?t=73812 (1062 words)

	Advanced Topic: The Representation of Derivatives
		With functions of more than one argument, the simple notation based on primes breaks down.
		is the result of applying the differentiation functional to the function
		This is the full form of the derivative of the function
	documents.wolfram.com /v4/MainBook/3.5.4.html (399 words)

	Louis Kauffman: Abstract (Site not responding. Last check: )
		(x) of the gauge connection go to infinity, and that the same is true for all functional derivatives of the function.
		This function class satisfies integration by parts and change of variables formulas for functions with power series expansions.
		By eliminating the functional integral and making the above definitions, the heuristic domain is transformed into a mathematical domain.
	www.und.nodak.edu /instruct/lapeters/mgc2002/abs/Kauffman.html (283 words)

	Springer Online Reference Works
		One of the first concepts of a derivative in an infinite-dimensional space.
		In theoretical questions the concept of a functional derivative has only historical interest, and in practice has been supplanted by the concepts of the Gâteaux derivative and the Fréchet derivative.
		But the concept of a functional derivative has been applied with success in numerical methods of the classical calculus of variations (see Variational calculus, numerical methods of).
	eom.springer.de /F/f042040.htm (180 words)

Try your search on: Qwika (all wikis)