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Page "Shape of the Universe" ¶ 7
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section and spacetime
** The present ( without the specification of a hypersurface or " section ") often means the single spacetime event being considered.
From the form of Ricci spinor given in the preceding section, it is immediately apparent that a pp-wave spacetime ( written in the Brinkmann chart ) is a vacuum solution if and only if is a harmonic function ( with respect to the spatial coordinates ).
In the remainder of this section ( and in the next section ), we'll assume our spacetime is Minkowski spacetime.

section and can
He has employed from his section rich immediate materials which in a loose sense can be termed Southern.
How else can one explain, for example, allowing the survival of the right to amortize bond discount and premium ( section 381(c)(9) ), but not the right to amortize bond issue expenses ; ;
This section deals with some of the sources of information that can be tapped by the classroom teacher ; ;
* Poverty threshold, the section of people who can fulfil their minimum basic needs
According to Lucas, Bayley, and Valli, each sign has a handshape ( see handshape section in American Sign Language grammar ) and these handshapes can resemble signs of numbers or letters.
However, its decisions can be overruled by the Australian Governor-General ( effectively by the national government ) under section 35 of the Australian Capital Territory ( Self-Government ) Act 1988.
In Analytical Geometry a section of a line can be given by the formula where ( c, d )&( e, f ) are the endpoints of the line & m: n is the ratio of division
The electric string bass and upright string bass — depending on the circumstance — can be treated by the arranger as either string section or rhythm section instruments.
A string section can be utilized on its own ( this is referred to as a string orchestra ) or in conjunction with any of the other instrumental sections.
Naming the central ray passing through the entrance pupil the axis of the pencil or principal ray, it can be said: the rays of the pencil intersect, not in one point, but in two focal lines, which can be assumed to be at right angles to the principal ray ; of these, one lies in the plane containing the principal ray and the axis of the system, i. e. in the first principal section or meridional section, and the other at right angles to it, i. e. in the second principal section or sagittal section.
Often the same section of a sketch can be found in several different pictures.
As the endmost edge becomes dull, it can be broken off the remaining blade, exposing the next section, which is sharp and ready for use.
Modern returning boomerangs can be of various shapes or sizes as can be seen in a photo in the Modern use section.
Scholars have identified several passages in Jeremiah that can be understood as “ confessions ;” they occur in the first section of the book ( chapters 1-25 ) and are 11. 18-12. 6, 15. 10-21, 17. 14-18, 18. 18-23, and 20. 7-18.
In an N-dimensional Hilbert space, can be written as a 1 × N row vector, and A ( as in the previous section ) is an N × N matrix.
Cross section view of the structures that can be formed by phospholipids in aqueous solutions

section and be
And while he had headed Batista's anti-Communist section, the Batista regime did not disturb the Communists so much as more open opponents who were alleged to be Communists.
They must be persuaded to adopt the other necessary self-help measures which are described in the preceding section.
All moneys received from dispositions under this section shall be paid into the Treasury as miscellaneous receipts ).
The Secretary of the Interior or any duly authorized representative shall be entitled to admission to, and to require reports from the operator of, any metal or nonmetallic mine which is in a State ( excluding any coal or lignite mine ), the products of which regularly enter commerce or the operations of which substantially affect commerce, for the purpose of gathering data and information necessary for the study authorized in the first section of this Act.
No corporation engaged in commerce shall acquire, directly or indirectly, the whole or any part of the stock or other share capital of another corporation engaged also in commerce, where the effect of such acquisition may be to substantially lessen competition between the corporation whose stock is so acquired and the corporation making the acquisition, or to restrain such commerce in any section or community, or tend to create a monopoly of any line of commerce.
in a remote section there might be no restrictions at all.
This calculation results in an enthalpy rise which is somewhat high because it assumes a mass flow equally distributed over the plug cross section whereas in reality the mass velocity is expected to be smaller in the regions of higher temperatures.
In fact, they went so far as to caution the writer that if he attempted to design a section exclusively for married students there should be, at the beginning, some `` hindsight '' study ; ;
Incidentally, it needs to be noted that because auditors were permitted the section began increasing in numbers each week, until at last it swelled to such proportions that this `` free '' auditing policy had to be retracted.
The writer never knew from week to week just where the section might be.
The parent of a group filing consolidated returns might be treated as the same corporation following a reorganization defined in section 368(a)(1), but as a different corporation for this purpose after a tax-free acquisition by another corporation which had not, for example, elected to file consolidated returns with its own subsidiaries.
When this is the case, the appropriate section of this manual will indicate that `` Continuation Cards '' may be used.
Proceeds will be used by the section to further its program in science, education and social action on local, national and international levels.
The sons of Bor then constructed Asgard ( to be identified with Troy, Snorri insists in section 9 ) as a home for the Æsir, who were divinities.
He emphasizes in this section, by way of warning, that philosophers with nuanced thoughts will likely be cast aside in favor of those whose conclusions more intuitively match popular opinion.
A zone was a subdivision of the network that made sense to humans ( for example, " Accounting Department "); but while a network number had to be assigned to a topologically-contiguous section of the network, a zone could include several different discontiguous portions of the network.
Colangelo's group was so certain that they would be awarded a franchise that they held a name-the-team contest for it ; they took out a full-page ad in the sports section of the February 13, 1995 edition of the state's leading newspaper, the Arizona Republic.

section and observed
A longer section follows on the " life world ", one not observed by the objective logic of science, but a world seen in our subjective experience.
Trials is a test of skill on a motorcycle whereby the rider attempts to traverse an observed section without placing a foot on the ground ( and traditionally, although not always, without ceasing forward motion ).
A sort of reverse sexual imprinting has been observed in heterosexual humans ; see the section on the " Westermarck effect " in Behavioral imprinting.
Each section has been observed in several insects as well as the influence it has on behavior, however the exact function of this neuropil has proven elusive.
Target features such as variation in the radar cross section or jet engine modulation may be observed by transmitter-receiver pairs within a multistatic system.
The gates of the original racecourse remain in Petts Hill, and a section of the track can be observed as a long, flat stretch of land alongside Mandeville Road.
The remains of Civil War field fortifications can be observed along U. S. 21 and 17A between Yemassee and Pocotaligo ( that section of highway is now a part of Yemassee, as the town has now greatly expanded into Beaufort County of 2006 ).
The following section describes behaviors observed outside of Western societies.
Although it had been placed in the wrong section of the LZ, the ' Tee ' shape formed by green Holophane marker lights was observed by pilots of the arriving C-47s.
A large section of exposed granite can be observed at the highway cut for Route 24, near the Main Road interchange.
However, prior to, and concurrent with, some of the given timelines of his activities at the campus, Bias's vehicle was observed and recorded by undercover agents of the Washington, D. C. metropolitan police department " cruising " one of the city's most notorious drug neighborhoods along Montana Avenue, in the northeast section of the city.
While engaged, about 1851, in examining the effects produced in the temperature of various parts of the body by section of the nerve or nerves belonging to them, he noticed that division of the cervical sympathetic gave rise to more active circulation and more forcible pulsation of the arteries in certain parts of the head, and a few months afterwards he observed that electrical excitation of the upper portion of the divided nerve had the contrary effect.
Also called body-bridging, this is a specific defensive behavior against ophiophagous snakes, first observed in certain rattlesnake ( Crotalus ) species by Klauber ( 1927 ), that involves raising a section of the middle of the body above the ground to varying heights.
He went on to give an example of the observed effect following the opening of the Doncaster Bypass section of the A1 ( M ) in 1961.
Many of the habitat characteristics discussed in the Preferred Habitat section have been observed in the area immediately around nest sites.
It was ultimately decided to observe a section of the Chandra Deep Field South, due to existing deep X-ray observations from Chandra X-ray Observatory and two interesting objects already observed in the GOODS sample at the same location: a redshift 5. 8 galaxy and a supernova.
Single layers of graphite were also observed by transmission electron microscopy within bulk materials ( see section Occurrence ), in particular inside soot obtained by chemical exfoliation.
However, as the scattering cross section of photons with energies near that of the Lyman-alpha limit with neutral hydrogen is very high, even a small fraction of neutral hydrogen will make the optical depth of the IGM high enough to cause the suppression of emission observed.
The observed corneal area then lies between the incident light section through the cornea and the irradiated area of the iris.
The lieutenant then observed that gun fire from another pill-box was holding up the assault, so with a Lewis gun section he attacked it capturing another 35 prisoners and their guns.
A fourth value, the internally maintained reference r ( a variable ′ setpoint ′), is deduced from the value at which the organism is observed to maintain q < sub > i </ sub >, as determined by the Test for controlled variables ( described at the beginning of this section ).
Thick section ( 0. 4 micrometers ) observed in a TEM.
For 2009, the highest traffic levels were observed on the section north of US 10 at 7, 579 vehicles per day.
As Goethe notes in the historical section, Louis Bertrand Castel had already published a criticism of Newton's spectral description of prismatic colour in 1740 in which he observed that the sequence of colours split by a prism depended on the distance from the prism — and that Newton was looking at a special case.

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