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Topic: State vectors

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Density matrix

Wave function

	SSL 3.0 Specification
		A variable length vector with an actual length field of zero is referred to as an empty vector.
		It is the responsibility of the SSL Handshake protocol to coordinate the states of the client and server, thereby allowing the protocol state machines of each to operate consistently, despite the fact that the state is not exactly parallel.
		Logically the state is represented twice, once as the current operating state, and (during the handshake protocol) again as the pending state.
	wp.netscape.com /eng/ssl3/3-SPEC.HTM (7165 words)

	Orbital state vectors - Wikipedia, the free encyclopedia
		State vectors are excellent for pre-launch orbital predictions when combined with time (epoch) expressed as an offset to the launch time.
		Orbital state vectors are equivalent to orbital elements (Keplerian elements) and each can be computed with each other (and used to derive other parameters of the orbit).
		A time-independent state vector can be combined with the launch time using xxx method in order to arrive at a valid set of orbital elements whereas computed in advance orbital elements are valid only when launch occurs without the slip.
	en.wikipedia.org /wiki/Orbital_state_vectors (361 words)

	Mathematical formulation of quantum mechanics - Wikipedia, the free encyclopedia
		A quantum description consists of a Hilbert space of states, observables are self-adjoint operators on the space of states, time evolution is given by a one-parameter group of unitary transformations on the Hilbert space of states, and physical symmetries are realized by unitary transformations.
		The state is given by a differentiable map (with respect to the Hilbert space norm topology) from time, which is an infinite one dimensional manifold parameterized by t, to the Hilbert space of states.
		The Stone-von Neumann theorem states all irreducible representations of the finite-dimensional Heisenberg commutation relations are unitarily equivalent.
	en.wikipedia.org /wiki/Mathematical_formulation_of_quantum_mechanics (3039 words)

	What is a State Vector? (Site not responding. Last check: )
		A state vector is a set of data telling exactly where the shuttle is in its orbit in space.
		State vectors are as important to the ground support personnel as they are to the shuttle itself.
		The form of a state vector is just a way of identifying which set of orbit parameters is being used to define the orbit.
	liftoff.msfc.nasa.gov /academy/rocket_sci/orbmech/state/state.html (564 words)

	Quantum mechanics the way I see it
		Nevertheless, possibly due to a tendency to interpret the state vector in a realist way (to be observed also in the Copenhagen interpretation) the paradox has gained considerable importance in the form of the so-called "measurement problem", the cat being comparable to a (macroscopic) measuring instrument.
		The quantum mechanical state vector is thought to refer to an ensemble of identically prepared microscopic objects (for instance, a beam of electrons, produced by a cyclotron without knob settings being varied, and assuming the electrons to be non-interacting).
		An empiricist interpretation of the quantum mechanical state vector is necessarily an ensemble one, because one and the same quantum mechanical preparation procedure may yield different individual objects, to be regarded as different elements of an ensemble.
	www.phys.tue.nl /ktn/Wim/qm11.htm (3859 words)

	Orbital state vectors -- Facts, Info, and Encyclopedia article (Site not responding. Last check: )
		The state vectors must be considered in a particular (Click link for more info and facts about inertial frame of reference) inertial frame of reference setting.
		Orbital velocity vector together with orbital position vector describe uniquely state of the orbiting body and thus are called (Click link for more info and facts about Orbital state vectors) Orbital state vectors.
		Orbital state vectors are equivalent to (Click link for more info and facts about orbital elements) orbital elements (Keplerian elements) and each can be computed with each other (and used to derive other parameters of the (The (usually elliptical) path described by one celestial body in its revolution about another) orbit).
	www.absoluteastronomy.com /encyclopedia/O/Or/Orbital_state_vectors.htm (730 words)

	GLOSSARY.DOC - State Vectors (Site not responding. Last check: )
		State Vectors are Cartesian coordinates describing the position and velocity, or state of a satellite.
		As with the keplerian elements, 6 basic coordinates are required to fully specify the position at a given epoch.
		State Vectors can be use in place of Keplerian Elements as a source of information for the Satellite Database in WinOrbit.
	www.sat-net.com /winorbit/help/defstatevector.html (152 words)

	Computer system for simulating physical processes using multiple-integer state vectors - Patent 5594671
		the state vector comprising a plurality of integers,
		The state vector, instead of being a set of bits, is now a set of integers (e.g., a set of eight bit bytes providing integers in the range of 0 to 255), each of which represents the number of particles in a given state.
		The 4-dimensional velocity vector for state i is denote by c.sub.i.
	www.freepatentsonline.com /5594671.html (11725 words)

	Quantum Mechanics
		The internal relations among states and quantities, and everything this entails about the ways quantum mechanical systems behave, are all woven into the structure of these spaces, embodied in the relations among the mathematical objects which represent them.
		Vector addition maps any pair of vectors onto another vector, specifically, the one you get by moving the second vector so that it's tail coincides with the tip of the first, without altering the length or direction of either, and then joining the tail of the first to the tip of the second.
		Mixed states are weighted sums of pure states, and they can be used to represent the states of ensembles whose components are in different pure states, or states of individual systems about which we have only partial knowledge.
	plato.stanford.edu /entries/qm (3833 words)

	rdStorage class Reference
		In an rdStorage object, statevectors (or rows) are indexed by the TimeIndex, and a particular state (or column) is indexed by the StateIndex.
		Ordinarily, the number of states is the same in each state vector; however, this is not required.
		State vector to subtract from the state vectors.
	www.stanford.edu /~shimm/HTML/a00263.html (3163 words)

	[No title]
		b is input as the right hand c..side vector and returns with the solution vector x.
		input are the dependent variable vector y(1:nv) and its c..derivative dydx(1:nv) at the independent variable x.
		dependent variable vector y(1:nvar) and its c..derivative vector dydx(1:nvar) are input at xs.
	www.cococubed.com /codes/ephem/fxt_routines.f (1273 words)

	Vector » Principles of Quantum Scattering Theory (Dz Belkic) » Convergence of series of operators, state ... (Site not responding. Last check: )
		Generally speaking, in scattering theory one employs certain expansions of operators, state vectors (or vectors, for short) and matrix elements.
		However, the series of matrix elements are complex numbers obtained by the action of operators on certain vectors followed by their projection onto some other vectors.
		Therefore, it is of crucial importance to examine the operator and vector series, with the purpose of gaining some insight into convergence of the pertinent physical matrix elements.
	dx.doi.org /10.1887/0750304960/b493c14 (264 words)

	Recurrent Tower Networks
		The activations of the k+1st state vector are copies of the corresponding units of the k-th state vector from the previous time step.
		Jordan, 1986), where the the activations of the k-th state vector are copies of the corresponding output layer units from the k-th previous time step, and input-window networks, where the the activations of the k-th state vector are copies of the corresponding input layer units from the k-th previous time step.
		The HU vectors are pushed onto a limited-depth stack of state vectors in preparation for subsequent steps in the sequence.
	www.psy.uq.edu.au /CogPsych/acnn96/case4.html (2319 words)

	Software: FAQs - Orbit (Site not responding. Last check: )
		In general, there are three kind of state vectors that are used for different purposes.
		The predicted state vectors are available before the data acquisition and are used to produce near real-time quicklooks of the data.
		There are two Institutions that calculate precise state vectors for ERS data: the Technical University Delft, the Netherlands and the German Aerospace Research Center (DLR), Germany.
	www.asf.alaska.edu /software/faq/orbit.html (324 words)

	Comp210 Lab 13: More state, including vectors
		Vectors can be of any length, although you cannot change the length of a particular vector.
		element of the vector to be the given element.
		We repeatedly look at data elements somewhere in the middle, and thus this algorithm is naturally suited for vectors, since vectors have constant-time access to arbitrary elements.
	www.owlnet.rice.edu /~comp210/00fall/Labs/lab13 (988 words)

	COMP 210 Lab 12: More State, Including Vectors
		Vectors can be of any length when created, although you cannot change the length of a particular vector.
		element of the vector to be the given element (counting from zero).
		Develop a function that, given a vector of numbers, returns a new vector of the same length containing the squares of the numbers in the original vector.
	www.owlnet.rice.edu /~comp210/02fall/Labs/Lab12 (1630 words)

	Reference Frames
		The first vector is parallel to one axis of the frame; the component of the second vector orthogonal to the first is parallel to another axis of the frame, and the cross product of the two vectors is parallel to the remaining axis.
		The inertially referenced velocity of the sun relative to the earth is the secondary vector: the Y axis is the component of this velocity vector orthogonal to the X axis.
		The earth's geomagnetic centered north dipole vector is secondary: the Z axis is the component of this vector orthogonal to the X axis.
	www.gps.caltech.edu /~marsdata/req/frames.html (14906 words)

	STATES AS VECTORS:
		State vectors obey the properties of vectors, see list p98 for addition and mult by const.
		If a> and b> are possible state vectors, then Aa> +Bb> is also a possible state vector.
		The probability that a particle in the ground state would be found in the first excited state is zero.
	helios.augustana.edu /~cv/401/401_10.htm (491 words)

	[No title] (Site not responding. Last check: )
		By convention, the input and output vectors are given the extension `.STM' and the file containing the matrix are given the extension `.NEU'.
		Figure 2 shows the screen after the contents of several vectors (f1, f2, and f3) have been replaced with ASCII character strings and f4 is about to be replaced.
		The '.Name' of this type of state vector will appear in the L)isting as, for example, 'Sum f01 f02 f03' if it was the sum of stimulus vectors F[1], F[2], and F[3].
	www.cog.brown.edu:16080 /courses/cg102/appendices/manual.mem (3944 words)

	Relating State vectors to Propositions (Site not responding. Last check: )
		The first is to describe the current world as the contents of a state vector.
		However, for notational convenience we assume that the frame is recoverable from the state vector, so we keep the ternary a and the binary c whenever what frame we are using is clear from the context.
		The propositions that our state vector gives us may not be all the facts about the world.
	www.formal.stanford.edu /pub/jmc/counterfactuals/node11.html (686 words)

	TIQM: 2.0 The Copenhagen Interpretation
		In the present context it should be clear that elements CI1 and CI2 fulfill the function of relating the formalism to experiment, while elements CI3-5 perform the function of avoiding paradoxes, and particularly those associated with the collapse of the state vector and with nonlocality (see Sections 2.3 and 2.4).
		This approach asserts that the state vector of an electron, for example, is the QM equivalent of the electric field of an electromagnetic wave.
		We suspect that the broad acceptance of the CI's identification of the state vector with knowledge is attributable more to the lack of a satisfactory alternative than to its compelling logic.
	mist.npl.washington.edu /npl/int_rep/tiqm/TI_20.html (3062 words)

	Geometry Glossary
		Radar polarisation is the orientation of the electric (E) vector in an electromagnetic wave, frequently horizontal or vertical, in conventional imaging radar systems.
		Reflectivity of microwaves from an object depends on the relationship between the polarisation state and the geometric structure of the object.
		Possible states of polarisation, in addition to vertical and horizontal, include all angular orientations of the E vector, and time varying orientations leading to elliptical and circular polarisations.
	envisat.esa.int /dataproducts/asar/CNTR5-5.htm (3295 words)

	State Vectors
		Table 9: Heliocentric position and velocity vectors of the Earth and the Ulysses spacecraft on Jul 31, 1994 23:59:00 UTC.
		In the following we describe how to derive the state vectors for Ulysses and Earth from the orbital elements for this date and compare the values with the respective data of the JPL SPICE system.
		Given the low precision of the Ulysses position this would already be good enough to get the geocentric Ulysses state vector but to compare with SPICE data or the Astronomical Almanac we now apply eqn.
	www.space-plasma.qmw.ac.uk /heliocoords/systems2art/node28.html (376 words)

	Representing State
		These abstractions (relative position, velocity, etc.), usually termed state vectors, are required in order to arrive at guidance decisions, are the quantities that devices try to measure, and thus must serve as the basis for designing the representational, or attribute structure of models.
		State vector types are not restricted to descriptions of objects as they are in the world, but also include information about the future and past.
		Finally, because most ACS models represent estimates of the state of the world, there are bottom-up, local, and top-down forces influencing the calculation and use of these representations with respect to their intrinsic accuracy, the computational limitations of estimation techniques, and/or system-wide control of the ACS.
	g.oswego.edu /dl/acs/acs/node3.html (1315 words)

	Quantum Entanglement and Bell's Theorem
		is the initial state vector of the electron, and we decide to perform a spin measurement corresponding to a particular operator
		The outcome of (3) is unambiguous, because the eigenvector on the right side is the same as the eigenvector on the left side. However, since the arbitrary initial state Y
		It's interesting that the expressions on the left side of these equations are formally the same as the queing theory "transition rates" of the functions 2g and 2f if we identify these functions with the state probabilities and the arguments a and b with the model time.
	www.mathpages.com /home/kmath521/kmath521.htm (1516 words)

	From Heliocentric State Vectors to Orbital Elements (Site not responding. Last check: )
		A state vector is the combination of a position and a velocity.
		The h vector corresponds to the angular momentum of the planet in the heliocentric ecliptic coordinate system.
		We have determined the orbital elements of Mars from its state vector at noon Greenwich on 21 March 2003.
	www.jabpage.org /posts/trans2a.html (826 words)

	Racist Celestial Mechanics, Lecture 2: Heliocentric State Vectors to Orbital Elements (Site not responding. Last check: )
		State vector is a combination of the components of the position and velocity vectors of an orbit, referred to the same coordinate system and to the same instant of time.
		Angular momentum is a conserved quantity, and the components of h are constant for the entire transfer orbit.
		Notice that e>1 and is therefore the orbit is a hyperbola in agreement with the sign of the semimajor axis resulting from the Vis Viva equation.
	www.jabpage.org /posts/trans2.html (1283 words)

	Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations (Site not responding. Last check: )
		The space of state vectors is a nonstandard Hilbert space with hyperfinite dimension, which includes all square-integrable functions, together with vectors representing states of definite position or momentum.
		The connection with the standard theory is established by postulating the existence of 'hyper-observables' and nonstandard states.
		Consistency extends to time evolution, in the sense that if an initial nonstandard state is 'near-standard', then the state after a finite time shall be infinitely near the standard state obtained through the Schroedinger equation.
	www.osti.gov /energycitations/product.biblio.jsp?osti_id=20546661 (294 words)

	AMSAT - Keplerian Elements
		Orbital State Vectors describe the Position and Velocity of spacecraft at some specified Epoch time.
		For further information, see the State Vector tutorial.
		Keplerian elements are available from NASA, CelesTrak and Space-Track (see links below.) The orbital state vectors for Space Shuttle missions are also available from NASA
	www.amsat.org /amsat-new/tools/keps.php (284 words)

	Racist Celestial Mechanics, Lecture 1: Orbital Elements to Heliocentric State Vectors (Site not responding. Last check: )
		The position vector [ x, y, z ] is the heliocentric position of the spaceship (or planet) at the moment of interest (t).
		The state vector of the object in an elliptical orbit of elements [ a, e, i,
		The state vector of the object in a hyperbolic orbit of elements [ a, e, i,
	www.jabpage.org /posts/trans1.html (4181 words)

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