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	Operator - Wikipedia, the free encyclopedia
		Operators are often in practice just partial functions, a common phenomenon in the theory of differential equations since there is no guarantee that the derivative of a function exists.
		It is another integral operator; it is useful mainly because it converts a function on one (spatial) domain to a function on another (frequency) domain, in a way that is effectively invertible.
		Three main operators are key to vector calculus, the operator ∇, known as gradient, where at a certain point in a scalar field forms a vector which points in the direction of greatest change of that scalar field.
	en.wikipedia.org /wiki/Operator (0 words)

	Operator (physics) Info - Bored Net - Boredom (Site not responding. Last check: 2007-10-08)
		In quantum mechanics, one definition of an operator is a linear transformation from a Hilbert space to itself.
		Often, a special real subspace of operators is set apart and called the space of observables.
		Another closely related use of the term is as an element of a C* algebra.
	www.borednet.com /e/n/encyclopedia/o/op/operator__physics_.html (67 words)

	Bug ID: 4905919 RFE: Operator overloading (Site not responding. Last check: 2007-10-08)
		Operator overloading is one of the most vile, confusing, and consistently mis-used facilities of C++.
		Operator overloading is cute, giving that symbolic feel, but when used by a development team rather than an individual it quickly becomes very difficult to understand what's going on by reading the code.
		Operator overloading is a prime example of what's C# got wrong when it tried to copy Java and throw in much of the C++ kitchen sink.
	bugs.sun.com /bugdatabase/view_bug.do?bug_id=4905919 (0 words)

	ipedia.com: Operator Article (Site not responding. Last check: 2007-10-08)
		In mathematics, an operator is some kind of function ; if it comes with a specified type of operand as functi...
		Overloading, in which addition, say, is thought of as a single operator able to act on numbers, vectors, matrices...
		This is not commonly used for operators taking greater than 2 arguments, ie binary operators.
	www.ipedia.com /operator.html (0 words)

	SourceForge.net: GUN-TACTYX Player's Manual (Site not responding. Last check: 2007-10-08)
		The ++ operator increments its operand by one; that is, ++i is equal to i = i + 1.
		Using the "sizeof" operator to set the default value of a function argument is a special case: the calculation of the value of the sizeof expression is delayed to the point of the function call and it takes the size of the actual argument rather than that of the formal argument.
		The definition of an operator is similar to the definition of a function, with the difference that the name of the operator is composed by the keyword "operator" and the character of the operator itself.
	sourceforge.net /docman/display_doc.php?docid=18793&group_id=65456 (0 words)

	PHYCS 3730/5720 lab exercise
		This is a review of operator overloads, based on your vec2d class from the previous exercise.
		Note: operators which can handle only one argument are labeled "unary", whereas operators with both left and right arguments are "binary".
		E.g., the "" operator* has three forms in the vec2d case, on of which cannot be put inside the class definition.
	www.physics.utah.edu /~p5720/exers/cppopover.html (0 words)

	PHYCS 3730/5720 lab exercise
		The default equal operator merely copies the address of the array (the pointer's values is this address), whereas you might want it to copy the array data itself to a new address.
		Instead, the first argument in the operator overload function definition ("lhs" in the above example) is the thing that appears on the left-hand side of the operator (LHS, hence the name "lhs" for the argument), while the second argument is the thing that appears on the right-hand side (RHS).
		Note that here the LHS of the operator is a double, not a vec2d object; there is no way we could have included this overload inside of the class definition since there all LHS's are assumed to be vec2d objects.
	www.physics.utah.edu /~p5720/exers/cppclass.html (0 words)

	Disambiguated Glommable Expression Templates Reintroduced - C++ Report - ADTmag.com (Site not responding. Last check: 2007-10-08)
		The actual job of composing the full, final, matrix-sized answer (the left-hand side) is reserved for the assignment operator, which itself actually loops through all the elements in the indexing domain and assigns the result of the expression on the right at that location to each element in the left-hand side.
		In this manner, the whole mathematical expression evaluation is accomplished in a single loop (embodied within the assignment operator) irrespective of the number of terms in the expression, and each element of each operand on the right-hand side of the expression is fetched from memory exactly once.
		that was a templated container for holding the data, along with a family of template classes and global operator functions that constructed the expression template (basically the assemblage of a parse tree for the mathematical expression).
	www.adtmag.com /joop/crarticle.asp?ID=627 (0 words)

	Stan Lippman's BLog : The Revised C++ Language Design Supporting .NET -- Part 1
		C++ supports a static (that is, compile-time) physics - even when we push the envelope and poke into the run-time, it is all strictly set up at compile-time: not just the virtual mechanism, but the exception-handling model as well.
		When push comes to shove, and the user is hard-pressed to pull a rabbit out of the hat, she tunnels under the program abstractions, picking apart types into addresses and offsets.
		In a sense, a reference represents a quantum anomaly in the physics of the C++ Object Model: (a) they take up space but, except for temporary objects, they are immaterial, (b) they exhibit deep copy on assignment and shallow copy on initialization, and (c) unlike const, they really are immutable.
	blogs.msdn.com /slippman/archive/2003/11/26/58433.aspx (0 words)

	QIMatrix: matrix.h File Reference
		Provides arithmetic operators, various matrix functions and an output operator.
		These are all the basic matrix arithmetic operations that you'd expect.
		This wouldn't happen if the functions took const refererences, but then we wouldn be able to use the element access operator M(i,j) in these functions.
	www.physics.uq.edu.au /people/dawson/matrix/doc/matrix_8h.html (0 words)

	CINT Documentation
		All kinds of operators can be defined in template container class, however, only ones that defined in element class can be instantiated.
		It is needed to conditionally turn on/off linkage of operator functions regarding property of the element class.
		Validity of each operator function is evaluated in stl/G__postprocess.h and linkage is controlled on and off.
	root.cern.ch /root/Cint.phtml?ref (0 words)

	BibTeX bibliography cppreport.bib (Site not responding. Last check: 2007-10-08)
		The design of storage management in a library must operate efficiently in the face of unpredictable usage patterns and a variety of usage contexts.
		This is a useful simplification for many ADTs in those cases where the abstract operations of the type can be represented cleanly in the public (or public and protected) regions of a single class declaration.
		The set of objects may be a group of files, and the operation may be displaying the name of each of the files.
	www.math.utah.edu:8080 /pub/tex/bib/cppreport.html (0 words)

	C++ class constructor chewing my framerate. - GameDev.Net Discussion Forums
		Posted - 11/12/2003 6:13:58 PM I did some profiling on my physics engine, and noticed that my 3d-vector's constructor is hogging 15% of the performance.
		It gets called a lot, as all my vector operators use it to return the result.
		The compiler won't be able to optimize temporaries away from the operators as easilly, if you have them on.
	www.gamedev.net /community/forums/viewreply.asp?ID=1189790 (0 words)

	[No title]
		Responsibilities most often assigned to paralegals/legal assistants are maintaining client files, drafting correspondence, performing factual research, monitoring deadlines, drafting and investigation and analyzing documents, and acting as liaison with clients and others.
		Task include, monitoring propulsion machinery operating parameters and taking initial action for equipment casualties.³Technician is familiar with performing preventative maintenance on all CG versions on the WSC-3 transceiver.
		¼X-Ray Technician (Adv) shall operate X-ray equipment to perform photodosimetric duties, and to assist the radiologist in radiation therapy, fluoroscopy and special radiographic procedures.¡Demonstrated knowledge necessary to develop skills in successfully awarding and administering simplified acquisitions under the appropriate thresholds in accordance with all applicable laws, regulations, and policies.
	www.uscg.mil /hq/psc/da/CompetencyDictionary.xls (0 words)

	OUP: Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic : Longo
		The beauty and the mystery surrounding the interplay between mathematics and physics is captured by E. Wigner's famous expression, ``The unreasonable effectiveness of mathematics''.
		We don't know why, but physical laws are described by mathematics, and good mathematics sooner or later finds applications in physics, often in a surprising way.
		Landsman: Bicategories of operator algebras and Poisson manifolds
	www.oup.co.uk /isbn/0-8218-2814-2 (0 words)

	Physics in 3D (Site not responding. Last check: 2007-10-08)
		As long as we only have single floating point values for position and velocity, our physics simulation will be limited to motion in a single dimension, and a point moving from side to side on the screen is pretty boring.
		This is because we added overloaded operators for adding two vectors together, and multiplying a vector by a scalar.
		By combining the linear and rotational physics into a single physics state and integrating, we can simulate the motion of a cube in three dimensions as it moves and spins around.
	www.gaffer.org /articles/Physics3D.html (0 words)

	Translation Guide: Moving Your Programs from Managed Extensions for C++ to C++/CLI (Site not responding. Last check: 2007-10-08)
		The declaration of properties and operators has been extensively reworked in the revised language design, hiding the underlying implementation details that were exposed in the original design.
		More onerous, however, is the fact that the invocation of an operator had to be explicitly invoked through that name, thus precluding the two primary benefits of operator overloading: (a) the intuitive syntax, and (b) the ability to intermix new types with existing types.
		In physics, the obstacle is the second law of thermodynamics, and the existence of entropy.
	msdn.microsoft.com /library/en-us/dnvs05/html/TransGuide.asp?frame=true (0 words)

	Science Fair Projects - Correlation function (quantum field theory)
		In quantum field theory, correlation functions generalize the concept of correlation functions in statistics.
		In the quantum mechanical context they are computed as the matrix element of a product of operators inserted between two vectors, usually the vacuum states.
		Depending on n (the number of inserted operators), the correlation functions are called one-point function (tadpole), two-point function, and so on.
	www.all-science-fair-projects.com /science_fair_projects_encyclopedia/Correlation_function_%28quantum_field_theory%29 (0 words)

	Overloaded Operators (Site not responding. Last check: 2007-10-08)
		With these exceptions the operators can be defined for user defined classes (only) to perform some function appropriate for the type.
		In order to define an operator for a user defined class e.g.
		The number of arguments depend on whether it is a unitary or binary operator and whether the function is a member or not.
	hepwww.ph.qmw.ac.uk /mcps/overload.html?menu=1 (0 words)

	Amazon.com: Books: Operator Algebras, Mathematical Physics, and Low Dimensional Topology (Research Notes in Mathematics) (Site not responding. Last check: 2007-10-08)
		We discuss some basic issues that arise when one attempts to model quantum mechanical systems on a computer, and we describe the mathematical structure of the resulting discretized cannonical communication relations.
		operator approximation property, banded links, real rank zero, cocycle conjugacy, exchange algebras, intertwining semigroup, cocycle conjugate, outer conjugacy, unital endomorphisms, fixed point algebra, relative commutant, pentagon equation, point norm topology, pointwise inner, stably trivial, quadratic algebras, primitive quotient, braid representations, noncommutative tori, separable predual, framed links, tracial states, rotation algebra, conjugacy invariant, injective factors
		Vertex Operators in Mathematics and Physics: Proceedings of a Conference November 10-17, 1983 (Mathematical Sciences Research Institute Pub, Vol 3) by J. Lepowsky on page 85
	www.amazon.com /exec/obidos/ASIN/156881027X/xq23-20 (0 words)

	www.cpp-home.com : View topic - Adding matrixes.
		Can You help me? This is my first project with operator overloading and I don't know where should be and and where shouldn't it be.
		Because A is being intialised will a value the copy constructor will be used, if it were just an assignment the '=' operator would be used.
		In an expression like this you have to realise that a temporary variable comes into play (the one returned by the '+' operator).
	www.cpp-home.com /forum/viewtopic.php?p=62148 (0 words)

	TCut.cxx File Reference
		operator * (const char *lhs, const TCut andrhs)
		operator andand (const TCut andlhs, const char *rhs)
		operator andand (const char *lhs, const TCut andrhs)
	www.fi.uib.no /~loizides/roothtml-v3.05.07/TCut_8cxx.html (0 words)

	Operator (physics) Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-08)
		Looking For operator physics - Find operator physics and more at Lycos Search.
		Find operator physics - Your relevant result is a click away!
		Look for operator physics - Find operator physics at one of the best sites the Internet has to offer!
	www.karr.net /encyclopedia/Operator_%28physics%29 (0 words)

	Operator (physics) -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-08)
		Operator (physics) -- Facts, Info, and Encyclopedia article
		An (Click link for more info and facts about observable) observable is a (Click link for more info and facts about self-adjoint) self-adjoint operator.
		By extension, operator is also used to refer to an element of a (Click link for more info and facts about C-algebra) C-algebra.
	www.absoluteastronomy.com /encyclopedia/O/Op/Operator_(physics).htm (0 words)

	Amazon.de: English Books: Operator Algebras, Mathematical Physics, and Low Dimensional Topology (Site not responding. Last check: 2007-10-08)
		This volume touches upon some significant themes that have arisen in the fields of operator algebras, low-dimensional topology and mathematical physics.
		Gathering together a collection of papers from a NATO-sponsored Advance Research Workshop, its intention is to reveal that these seemingly diverse fields are now inextricably interconnected.
		While operator algebras and mathematical physics have enjoyed a mutually beneficial relationship dating back to the time of von Neumann, the link between operator algebras and low-dimensional topology only emerged with the work of Vaughan Jones.
	www.amazon.de /exec/obidos/ASIN/156881027X/geometrynet01-21 (0 words)

	M6
		Purpose: to familiarize you with classes, constant parameter and overloading operators.
		Complex numbers have vast applications in mathematics, physics, and engineering.
		Also print out the magnitude of the result of these operations.
	math.scu.edu /~bshao/m10/a6.html (0 words)

	Weblogs Forum - Metaprogramming on Steroids: Overloaded Type Operators
		Writing type operators is as natural as breathing for physicists and engineers.
		So it seems to me to be perfectly reasonable to allow programmers to overload operators for types as well.
		This is actually only scratching the surface of possibilities of operator overloading on types.
	www.artima.com /forums/flat.jsp?forum=106&thread=128905 (0 words)

	[No title]
		On the other hand, a forward iterator can be copied and both copies advanced at any time, passing over the same sequence of values: the values are remembered, or cached.
		In order to implement the cache, we must use a data structure which permits advancing forward quickly, inserting a new element at the end quickly, and eliding an element at the beginning quickly -- obviously, the cache is a queue.
		In particular, the insert and remove operations must not invalidate the forward iterators.
	www.zeta.org.au /~jon/pharmacy/maxtal.html (0 words)

	SR2k4 Assembler: Compound Member Index
		operator+ : MRAmrange, MRAmlevel, MRAcrange, MRAclevel, MCFTPrequest, MCFTPquote
		operator- : MRAmrange, MRAmlevel, MRAcrange, MRAclevel, MCFTPrequest, MCFTPquote
		Generated on Mon May 31 21:40:41 2004 for SR2k4 Assembler by
	www.physics.ohio-state.edu /~gorse/.work/functions_rela.html (0 words)

	Nonstandard Analysis (Site not responding. Last check: 2007-10-08)
		In treating very complex problems of quantum theory and mathematical physics often one encounters difficult limiting procedures which may be solved especially easy (and in most cases for the first time) by methods of nonstandard analysis.
		This includes questions of stability of one-parameter semigroups of linear operators as well as questions concerning intensive variables or fluctuations in quantum lattice models or the question for the "limit" of quantum mechanics for h -> 0.
		In all of these problems the possibility to treat "infinitely small" and "infinitely large" quantities in a mathematically rigorous way using nonstandard analysis leads to new insights and solutions.
	www.uni-tuebingen.de /uni/mmm/nonstandard.html (0 words)

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