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Page "Bra-ket notation" ¶ 24
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Some Related Sentences

For and example
For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
For example, suppose a man wearing a $200 watch, driving a 1959 Rolls Royce, stops to ask a man on the sidewalk, `` What time is it ''??
For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;
For example, No. 56 printed the patent giving the Electoral Prince the title of Duke of Cambridge.
For example, he captured some persons from York County, who with teams were taking to Philadelphia the furniture of a man who had just been released from prison through the efforts of his wife, and who apparently was helpless to prevent the theft of his household goods.
For example, even the most successful executive lives in a two-room apartment while ordinary people rent space in the stairwells of office buildings in which to sleep at night ; ;
For example, in the third chapter of Matthew, verses 13-16, describing the baptism of Jesus, the 1611 version reads:
For example: 1.
For example, it probably will be necessary for the Corps to have authority to pay medical expenses of volunteers.
For example, the importance of the Regulus 2, a very promising aerodynamic ship-to-surface missile designed to be launched by surfaced submarines, was greatly diminished by the successful acceleration of the much more advanced Polaris ballistic missile launched by submerged submarines.
For example, the interest of past members of the Foundation's Advisory Board remains such that they place their knowledge and judgments at our disposal much as they had done when they were, formally, members of that Board.
For example, out of the social evils of the English industrial revolution came the novels of Charles Dickens ; ;
For example, a 12-to-one engine would power a supersonic VTOL fighter.
For example: Af.
For example: Af.
For example, for the problem Af, 10 from 25 equals 15, then 6 from 15 equals 9.
For example: Af.
For example, let's consider a standard 283 cubic inch Chevy Aj.
For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.
For example, a Browning trap version of the Superposed over/under, the Broadway ( from $350 up, depending on grade ), differs from standard models in that it is equipped with a full beavertail fore end, a cushion recoil pad and a barrel-wide ventilated rib for fast sighting.
For example, the Chamber of Commerce of Gatlinburg, Tennessee, sponsors special camera tours into the Great Smoky Mountains to get pictures of the profusion of wild flowers flourishing in these wooded regions.
For example, the Friday after Thanksgiving can be substituted for Washington's birthday.
For example, the officials of Poughkeepsie town ( township ) where the project is located think highly of it because it simplifies their snow clearing problem.
For example, don't pay in a truck policy for medical coverage that you may be paying for in a health and accident policy.
For example: If your bodily injury claims start payment after the first $250, a 25% premium saving is often made.

For and three-dimensional
For specialized types of displays, such as large three-dimensional units reproducing a product, package, human or animal figures, etc., reinforced plastics and rotationally molded vinyl plastisols are other materials frequently used.
For example, in a print called " Reptiles ", he combined two and three-dimensional images.
For an irrotational vector field in three-dimensional space the inverse-square law corresponds to the property that the divergence is zero outside the source.
For such waves, the three-dimensional wave equation takes the form
For example, bigger stones are first scanned to get the three-dimensional shape, which is then used to find the optimal usage.
For two-and three-dimensional collisions the velocities in these formulas are the components perpendicular to the tangent line / plane at the point of contact.
For objects below this distance, the angle of view is different for each eye, allowing the brain to process scenes with a stereoscopic or three-dimensional result.
For example, the transformation R < sup > 4 </ sup > → R < sup > 4 </ sup > described by the matrix above maps all of R < sup > 4 </ sup > to some three-dimensional subspace.
For hyperbolic local geometry, many of the possible three-dimensional spaces are informally called horn topologies, so called because of the shape of the pseudosphere, a canonical model of hyperbolic geometry.
For instance, in the three-dimensional real vector space we have the following example.
For example, the three-dimensional object physics calls angular velocity is a differential rotation, thus a vector in the Lie algebra tangent to SO ( 3 ).
For a more complete discussion of three-dimensional turtle coordinate systems and some examples of each, see Cheloniidae Turtle Graphics.
For example, the orbit of the Earth in space is approximately a circle, a three-dimensional ( closed ) curve in space: the Earth returns every year to the same point in space.
For example, the three-dimensional maze view in the upper-left window was similar to Might & Magic or Bard's Tale, both released in the mid-1980s.
For instance, in Anuszkiewicz's " temple " paintings, the juxtaposition of two highly contrasting colors provokes a sense of depth in illusionistic three-dimensional space so that it appears as if the architectural shape is invading the viewer's space.
For general three-dimensional flows, it is necessary to apply the full Prandtl-Glauert transformation to the geometry, and then apply Göthert's Rule to get the physical pressure coefficient and forces.
For comparison: in classical mechanics events are described by their ( three-dimensional ) position at each moment in time.
For example, Einstein's theory of general relativity has static solutions in which space containing a gravitational field is ( locally ) described by three-dimensional elliptic geometry, but the theory does not posit the existence of a fourth spatial dimension, or even suggest any way in which the existence of a higher-dimensional space could be detected.
For structural classification, the sizes and spatial arrangements of secondary structures described in the above paragraph are compared in known three-dimensional structures. Classification based on sequence similarity was historically the first to be used.
For example, the function which maps the point ( x, y, z ) in three-dimensional space R < sup > 3 </ sup > to the point ( x, y, 0 ) is a projection onto the x-y plane.
For example one may talk about an infinitesimal rotation of a rigid body, in three-dimensional space.
For a true crystal ( as opposed to a quasicrystal ), the group must also be consistent with maintenance of the three-dimensional translational symmetry that defines crystallinity.
For techniques used to display pictures with a three-dimensional appearance, see the 3-D film article for some movie history and the stereoscopy article for technical information.
For in vitro culture of follicles, there are various techniques to optimize the growth of follicles, including the use of defined media, growth factors and three-dimensional extracellular matrix support.

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