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	Shift operator - Wikipedia, the free encyclopedia
		In mathematics, and in particular functional analysis, the shift operators are examples of linear operators, important for their simplicity and natural occurrence.
		This operation respects typical convergence conditions, such as absolute convergence of the corresponding infinite series; it therefore gives rise to continuous operators on the standard sequence spaces used in functional analysis, usually with norm 1.
		The bilateral shift operators are the related operators in which the sequences are bi-infinite (functions on the integers, rather than just the natural numbers).
	www.wikipedia.org /wiki/Shift_operator (379 words)

	C's Bitwise Operators
		left shift operator shifts the bits of the value of the left operand to the left by the number of places given by the right operand.
		This operator shifts the bit in the variable to its left by the number of places given by the right-hand value.
		These shift operations are analogous to the decimal system procedure of shifting the decimal point to multiply or divide by 10.
	robotics.snu.ac.kr /~brighton/books/C_Primer_Plus/ch15lev1sec3.html (1865 words)

	HP OpenVMS systems - C (Site not responding. Last check: 2007-10-22)
		The shift operators << and >> shift their left operand to the left or to the right, respectively, by the number of bits specified by the right operand.
		The effect of shifting left is to multiply the left operand by 2 for each bit shifted.
		For a nonnegative left operand, the effect of shifting right is to divide the left operand by 2 for each bit shifted.
	h71000.www7.hp.com /commercial/c/docs/6180p017.html (2807 words)

	Delta operator : Shift-equivariance (Site not responding. Last check: 2007-10-22)
		In mathematics, a delta operator is a shift-equivariant linear operator Q on the vector space of polynomials in a variable x that reduces degrees by one.
		That the operator reduces degrees by one means that if f is a polynomial of degree n, then Qf is either a polynomial of degree n - 1, or, in case n = 0, Qf is 0.
		Sometimes a delta operator is defined to be a shift-equivariant linear transformation on polynomials in x that maps x to a nonzero constant.
	www.explainthis.info /sh/shift-equivariance.html (472 words)

	Bitwise Right Shift Operator (>>) (Site not responding. Last check: 2007-10-22)
		Shifts the bits of an expression to the right, maintaining sign.
		The >> operator shifts the bits of expression1 right by the number of bits specified in expression2.
		For information on when a run-time error is generated by the >> operator, see the Operator Behavior table.
	www.devexamples.com /aspexamples/objects/JScript/jsoprrshift.htm (87 words)

	The Heredity Shift Operator in Descent Approach to the Optimal Periodic Hereditary Control Problem -- from Mathematica ...
		The description of the periodic hereditary process in the equivalent integral form using the forward heredity shift operator is considered.
		The normal Lagrange functional approach is applied to derive the integral adjoint equation with the backward heredity shift operator, and to obtain the gradient formula of the goal functional with respect to the control.
		To verify the properness of the problem, and to estimate the best operation period the II test specialized to the case of many lumped and distributed delays is obtained.
	library.wolfram.com /infocenter/Articles/3174 (212 words)

	KCGL1 Help BLISS Tutorial_language_topics Operators shift-operator (Site not responding. Last check: 2007-10-22)
		The shift operator (^) shifts the left operand (e1) by the number of bits specified by the right operand (e2).
		The shift is right if e2 is negative and left if e2 is positive.
		On a left shift, high-order bits are discarded and low-order bits are zero-filled.
	data.club.cc.cmu.edu /htbin/helpgate/HELP/BLISS/TUTORIAL_LANGUAGE_TOPICS/OPERATORS/SHIFT-OPERATOR (60 words)

	VAX MACRO and Instruction Set Reference Manual
		A unary operator modifies a term or an expression and indicates an action to be performed on that term or expression.
		The textual operators are the ASCII operator (^A) and the register mask operator (^M).
		The use of the numeric control operators is explained in Section 3.6.3.1 and Section 3.6.3.2.
	www.itec.suny.edu /scsys/vms/vmsdoc/72final/4515/4515pro_002.html (1754 words)

	Bitwise Left Shift Operator (<<)
		The << operator shifts the bits of expression1 left by the number of bits specified in expression2.
		Otherwise, if the shift amount exceeded the number of bits in the data type of expression1, all the original bits would be shifted away to give a trivial result.
		To ensure that each shift leaves at least one of the original bits, the shift operators use the following formula to calculate the actual shift amount: mask expression2 (using the bitwise AND operator) with one less than the number of bits in expression1.
	msdn2.microsoft.com /library/8xftzc7e(en-us,vs.80).aspx (248 words)

	2.4.4 User, General Physicist on shift, Operator (Site not responding. Last check: 2007-10-22)
		The operator, in this restricted context, is the user, or general physicist, who operates all the parts of the CMS Data Acquisition System, including those which are specific to the Calorimeter Trigger Data Acquisition Sub-system.
		The operator is not necessarily an expert of the sub-system, nor a computer scientist, therefore he needs to have a standardised and user-friendly access to useful information, regardless of the providing data acquisition sub-system.
		The operator may be an expert of a sub-system but without a deep knowledge of the other sub-systems.
	www.lip.pt /soft/das/cms/doc/URD/URD-31.html (203 words)

	shift - OmniMark operator (Site not responding. Last check: 2007-10-22)
		operator is: the bit sequence specified by the first operand shifted up by the number of places indicated by the second operand.
		As bits are shifted, the positions which are no longer occupied are filled with zeros.
		Thus, shifting a bit sequence by 32 or more in either direction will result in a sequence of all zeros.
	europe.omnimark.com /documentation/keyword/305.htm (174 words)

	KCGL1 Help MACRO /ALPHA Binary_Operators Arithmetic_Shift_Operator (Site not responding. Last check: 2007-10-22)
		The first argument is shifted left or right by the number of bit positions that you specify in the second argument.
		If the second argument is positive, the first argument is shifted left and the low-order bits are set to zero.
		If the second argument is negative, the first argument is shifted right and the high-order bits are set to the value of the original high-order bit (the sign bit).
	www.waisman.wisc.edu /HELP/MACRO/_ALPHA/BINARY_OPERATORS/ARITHMETIC_SHIFT_OPERATOR (110 words)

	Nikol§skiæi (1986) Treatise on the shift operator: Spectral function theory (Site not responding. Last check: 2007-10-22)
		Nikol§skiæi (1986) Treatise on the shift operator: Spectral function theory
		Treatise on the shift operator: Spectral function theory
		Shift operators (Operator theory); Invariant subspaces; Spectral theory (Mathematics)
	www.getcited.org /pub/102382415 (27 words)

	Shift Operator Induced Approximations of Delay Systems
		Certain shift operator induced finite-dimensional approximations of an important class of delay systems are studied.
		Furthermore, a multiple shift formula, generated by a second-order Padé shift, is analyzed further, and an exact asymptotic $H_\infty$ error formula is derived.
		The studied class of shift operator induced approximations provides an appealing and most transparent approach for determining good finite-dimensional models of delay systems.
	epubs.siam.org /sam-bin/dbq/article/33967 (126 words)

	Shift and Delta Operator Realizations for Digital Controllers with Finite-Word-Length Considerations - Wu, Chen, Li, ...
		Both the shift and delta operator parameterizations of a general controller structure are considered.
		A unified formulation is adopted to derive a computationally tractable stability related measure that describes FWL closed-loop stability characteristics of di erent controller realizations.
		Within a given operator parameterization, the optimal FWL controller realization, which...
	citeseer.ist.psu.edu /wu01shift.html (589 words)

	C++ Programming: What is the use of the shift operator <<?
		In the #define's, the shifts are just to scale the values up by 2^14in order to use integer values rather than floats.
		In the final line, the value is shifted back (scaled down by 2^14) to get back to a normal integer grayscale value.
		The way this code is written, there is only one shift actually done in the executable code - the final right shift.
	www.experts-exchange.com /Programming/Programming_Languages/Cplusplus/Q_21120041.html (386 words)

	(<<) Bitwise Shift Left Operator (Site not responding. Last check: 2007-10-22)
		Returns the bitwise shift left of an integer value.
		This operator performs a bitwise shift left on an integer value and returns the result.
		The second operand bits specifies the number of bits to shift.
	www.intellidimension.com /pages/rdfgateway/reference/script/left.rsp (35 words)

	.NET Languates / VB - shift operator anomaly/ambiguity when it comes to bytes? (Site not responding. Last check: 2007-10-22)
		The rule I determined is: whatever the shift operator S is, its real value is (S mod 8).
		The specification is not so bad, but just by looking at some IL code it could definitely provide more details.
		bits shifted off one end of the result are not reintroduced at the other
	www.mcse.ms /archive107-2004-1-336874.html (732 words)

	shift operator anomaly/ambiguity when it comes to bytes? (Site not responding. Last check: 2007-10-22)
		The rule I determined is: whatever the shift operator S is, its real value i s (S mod 8).
		Markus, MSDN clearly states "Arithmetic shifts are not circular, which means the bits shifted off one end of the result are not reintroduced at the other end".
		> Markus, > MSDN clearly states "Arithmetic shifts are not circular, which means the > bits shifted off one end of the result are not reintroduced at the other > end".
	www.mcse.ms /message336874.html (908 words)

	Ericsson Education North America (Site not responding. Last check: 2007-10-22)
		Our goal is to identify, develop, and deliver high quality educational solutions that will build the competence of your installation, operations and optimization staffs.
		Our focus is on developing comprehensive customized solutions that will support the specific needs of our operators and service providers, enabling them to plan, design, build and manage their businesses and networks in a competitive and profitable manner.
		In addition to their ability to deliver highly effective classroom education, our instructors are also very experienced as mentors, performing knowledge transfer activities with their students in a "live" operational environment.
	www.ericsson.com /US/e-tec/2003CourseDescriptions/LZU1085162.htm (229 words)

	SHIFT OPERATOR X 5 - Vacancy Details - Matchtech (Site not responding. Last check: 2007-10-22)
		We are currently looking for ex-military telecomms engineers to work on the control and routing of communications for the RN and RAF Services.
		You will be working as a member of the operations team to support the shift leader and to carry out a range of operational activities within the operations centre, particularly those concerned with the control and routing of communications for RN and RAF services.
		You will be involved in the provision of RN communications and expected to monitor the operation of remote site "Man Safety" equipment, while also providing Help Desk services, maintain accurate logs, records and other documentation relating to operations;
	www.matchtech.com /job/61200 (352 words)

	OPT.SMUL-4 Use the left shift operator for multiplication by powers of 2
		OPT.SMUL-4 Use the left shift operator for multiplication by powers of 2
		Use the left shift operator for multiplication by powers of 2
		Using the shift operator is faster and more efficient.
	www.cs.indiana.edu /csg/links/parasoft/jtest/optsmul.htm (123 words)

	dBforums - Re: Regarding left shift operator
		> "Is it valid to shift a byte value by an 8-bit".
		named 'a' is promoted to int before the shift.
		I think that he expected the result to be 3, because he shifted out the
	www.dbforums.com /t1084878.html (222 words)

	OPT.SDIV-4 Use the right shift operator for division by powers of 2
		OPT.SDIV-4 Use the right shift operator for division by powers of 2
		Use the right shift operator for division by powers of 2
		Note that this rule only checks for 2, 4, 8, 16, 32, 64, and 128.
	www.cs.indiana.edu /csg/links/parasoft/jtest/optsdiv.htm (129 words)

	dBforums - shift operator
		Operators on bits are happier with unsigned arguments.
		the shift amount, so that a shift of 32 is equal to a shift of 0 on a 32
		> the shift amount, so that a shift of 32 is equal to a shift of 0 on a 32
	dbforums.com /t707048.html (1693 words)

	Circular Shift Operator
		In C# left and right shift operators are there.
		Those aren't circular shift operators--they discard bits that shift out.
		I don't know of any circular shift operators in C#.
	www.dotnetmonster.com /Uwe/Forum.aspx/dotnet-csharp/3589/Circular-Shift-Operator (176 words)

	Dubi's talk (Site not responding. Last check: 2007-10-22)
		Recently V. Bolotnikov and L. Rodman characterized finite dimensional backward shift invariant subspaces of the Arveson space.
		In this note we study finite dimensional backward shift invariant Hilbert spaces contractively included in the Arveson space.
		To that purpose we redefine in an appropriate way the backward shift operators in terms of power series expansions.
	www.math.bgu.ac.il /~vinnikov/otseminar/abstracts/Dubi_26May2003/index.html (76 words)

	SHIFT OPERATOR - Vacancy Details - Matchtech (Site not responding. Last check: 2007-10-22)
		We currently have two opportunities for Shift Operators to carry out a range of operational activities at a Defence High Frequency Communications site in Yorkshire.
		Candidates will need to be familiar with the operation of land-based HF Communications equipment.
		We would be particularly interested to hear from Candidates that have gained this experience in the RAF or RN.
	www.matchtech.com /job/74447 (386 words)

	Brookfield: Building Shift Operator (Site not responding. Last check: 2007-10-22)
		Reporting to the Supervisor, Operations, your primary responsibilities include provision of Petro-Canada Centre's daily functions through the operation and control of various mechanical and electrical systems, in a 1.9 million square foot Class AA facility.
		As the successful candidate, you are a seasoned operator with a minimum of five years' experience, with Alberta Operator A or Fourth Class Power Engineering Certification.
		You are willing to work shifts, including weekends and holidays.
	www.brookfieldproperties.com /job_listings_17.htm (122 words)

	FIX: Unsigned Right Shift Operator Returns Incorrect Result (259989) (Site not responding. Last check: 2007-10-22)
		When you perform an unsigned right shift assignment on a byte variable while the Just In Time compiler (JIT) is turned on, the results obtained are incorrect.
		This is caused by a bug in the JIT in which the shift operation is incorrectly optimized.
		A possible way to work around this problem is to turn off the JIT (although this can cause some Java programs to run slower).
	wwwtest.sunsite.org.uk /sites/ftp.microsoft.com/MISC/KB/en-us/259/989.HTM (283 words)

	GCC Help Mailing List -- RE: Bitwise shift operator on 8-byte integers
		Subject: RE: Bitwise shift operator on 8-byte integers
		Prev by Date: Re: Bitwise shift operator on 8-byte integers
		Previous by thread: Re: Bitwise shift operator on 8-byte integers
	www.spinics.net /lists/gcchelp/msg05017.html (72 words)

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