Help


[permalink] [id link]
+
Page "Mathematical formulation of quantum mechanics" ¶ 54
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Alternatively and by
Alternatively, if characters ' attribute ranks are close, the weaker character can try to change the relevant attribute by changing the nature of the conflict.
Alternatively, a Greek derivation from " manless, without husbands " ( a-privative and a derivation of * man-also found in Slavic muzh ) has been proposed, an explanation deemed " unlikely " by Hjalmar Frisk.
Alternatively they can be organized by whether the raw stock is of natural, or synthetic origin, or by their starting physical phase.
Alternatively, the line is divided into three four-syllable sections by two caesuras.
Alternatively, these experiments provide an operational definition of what is meant by " absolute rotation ", and do not pretend to address the question of " rotation relative to what?
Alternatively, rasterization can be done in a more complicated manner by first rendering the vertices of a face and then rendering the pixels of that face as a blending of the vertex colors.
Alternatively, if Bishop Cellach was appointed by Giric, it may be that the gathering was intended to heal a rift between king and church.
Alternatively, the coordinates of a point p can also be taken as the ( signed ) distances from p to the three planes defined by the three axes.
Alternatively, the image can be photographically recorded by exposing a photographic film or plate directly to the electron beam, or a high-resolution phosphor may be coupled by means of a lens optical system or a fibre optic light-guide to the sensor of a CCD ( charge-coupled device ) camera.
Alternatively, basic beliefs may be justified by some special property of the belief itself, such as its being self-evident or infallible.
Alternatively, it is possible to express an even-length real-input DFT as a complex DFT of half the length ( whose real and imaginary parts are the even / odd elements of the original real data ), followed by O ( N ) post-processing operations.
Alternatively, in engineering applications, such as swimming pool water treatment plants, they may be cleaned by backwashing.
Alternatively, the liquid may flow through the filter by the force exerted by a pump, a method commonly used in industry when a reduced filtration time is important.
Alternatively, shear strength may be decreased by weathering, changes in pore water pressure, and organic material.
Alternatively the determinant may be a noun in the genitive case, placed before or after the base-word, either directly or separated from the base-word by intervening words.
" Alternatively, such quotations have been interpreted by Anarcho-Communists supportive of Marx and Engels to suggest the abolition of capitalism and the state simultaneously, not the creation of a new state.
Alternatively, ' forward ' may be the direction pointed by the observer's nose, defining ' backward ' as the direction from the nose to the sagittal border in the observer's skull.
Alternatively, functioning may be affected by the stress of having to hide a condition in work or school etc., by adverse effects of medications or other substances, or by mismatches between illness-related variations and demands for regularity.
Alternatively, sparring may continue with the point noted by the judges.
Alternatively, under penultimate hop popping this function may instead be performed by the LSR directly connected to the LER.

Alternatively and theorem
Alternatively, one may invoke Mitchell's embedding theorem.
Alternatively, the requirement that Det ( Dφ )≠ 0 can be eliminated by applying Sard's theorem.
( Alternatively, we could use the theorem that every compact metric space is a continuous image of the Cantor set to get the function.
Similarly, the complement of an odd cycle of length 2k + 1 cannot be perfect, because its chromatic number is k + 1 and its clique number is k. ( Alternatively, the imperfection of this graph follows from the perfect graph theorem and the imperfection of the complementary odd cycle ).
Alternatively, the maximum modulus principle can be viewed as a special case of the open mapping theorem, which states that a nonconstant holomorphic function maps open sets to open sets.
Alternatively, the existence of A and φ is guaranteed from these two laws using the Helmholtz's theorem.
Alternatively, this result can also be demonstrated by applying a multidimensional generalization of the central limit theorem, or through symmetry arguments.

Alternatively and one
Alternatively, atomic orbitals refer to functions that depend on the coordinates of one electron ( i. e. orbitals ) but are used as starting points for approximating wave functions that depend on the simultaneous coordinates of all the electrons in an atom or molecule.
Alternatively, if using more than one or two techniques for every experiment is infeasible, some of the benefits of consilience may still be obtained if it is well-established that these techniques usually give the same result.
Alternatively, some units allow or require each member to wear one laced into their boot in lieu of the second around the neck.
Alternatively, two figures are congruent if one can be moved on top of the other so that it matches up with it exactly.
Alternatively, two-thirds of the population have IQ scores within one SD of the mean, i. e. within the range 85-115.
Alternatively, one may say that the predicted values corresponding to the above model, namely
Alternatively, 5 ml from a neutron star of radius 20 km radius ( average density ) has a mass of about 400 million metric tons, or about the mass of all humans .</ ref > The resulting force of gravity is so strong that if an object were to fall from a height of one meter it would only take one microsecond to hit the surface of the neutron star, and would do so at around 2000 kilometers per second, or 7. 2 million kilometers per hour.
Alternatively one could also consider combinations of five cubes that are themselves 3D, i. e., are not part of one layer of cubes.
Alternatively, when a self-balancing binary search tree is used, insertion and removal also take O ( log n ) time, although building trees from existing sequences of elements takes O ( n log n ) time ; this is typical where one might already have access to these data structures, such as with third-party or standard libraries.
Alternatively, one may write even more concisely
Alternatively one can start with the threats and examine which resources they would affect, or one can begin with the consequences and determine which combination of threats and resources would be involved to bring them about.
Alternatively, in the words of the Darqawi Sufi teacher Ahmad ibn Ajiba, " a science through which one can know how to travel into the presence of the Divine, purify one's inner self from filth, and beautify it with a variety of praiseworthy traits ".
Alternatively, one may point out that greater good theodicies lead us to see every conceivable state of affairs as compatible with the existence of God, and in that case the notion of God's goodness is rendered meaningless.
Alternatively, such a system is one that can simulate a universal Turing machine.
Alternatively, a Turing-equivalent system is one that can simulate, and be simulated by, a universal Turing machine.
Alternatively, the setter moves into the right front and has both a middle and an outside attacker ; the disadvantage here lies in the lack of an offside hitter, allowing one of the other team's blockers to " cheat in " on a middle block.
Alternatively, one could use some of the following criteria:
Alternatively, a digital TDM multiplexer may combine a limited number of constant bit rate digital data streams into one data stream of a higher data rate, by forming data frames consisting of one timeslot per channel.
Alternatively the difference is not really fixed, but it changes twice a year a round amount, usually one hour, see Daylight saving time.
Alternatively, an exciton may be thought of as an excited state of an atom, ion, or molecule, the excitation wandering from one cell of the lattice to another.

1.634 seconds.