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Page "Trajectory" ¶ 42
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While and same
While it must be said that these same Protestants have built some new churches during this period, and that religious population shifts have emptied churches, a principal reason for this phenomenon of redundancy is that fewer Protestants are going to church.
While Nicomachus ' algorithm is the same as Euclid's, when the numbers are prime to one another it yields the number " 1 " for their common measure.
While citizens voting in the assembly were the people and so were free of review or punishment, those same citizens when holding an office served the people and could be punished very severely.
While the ULA would read the display from memory in the usual fashion, the SAA5050 would listen to the data it was reading and produce a mode 7 interpretation of the same information.
While seemingly giving the students individualized results, he instead gave each student exactly the same sheet that discussed their personality.
While there is an official locality named Akibahara, which is also 秋葉原 in kanji, nearby ( as part of Taitō-ku ), the area known to most people as Akihabara ( including the railway station of the same name ) also include Soto-Kanda, a part of Chiyoda-ku.
While not considered orthodox Christian, the Ecclesia Gnostica Catholica uses roles and titles derived from Christianity for its clerical hierarchy, including bishops who have much the same authority and responsibilities as in Roman Catholicism.
While still a graduate student in 1934, Parkinson was commissioned into the Territorial Army as a member of the 22nd London Regiment ( The Queen's ), was promoted Lieutenant later the same year, and commanded an infantry company at the jubilee of King George V in 1935.
While he continued to be prolific throughout the 1930s and 1940s, he is probably best known for his 1956 film The Ten Commandments ( which is very different from his 1923 film of the same title ).
While some jurisdictions regard crossbows same as firearms, many others do not even require any sort of license to own a crossbow even for people, such as felons, who may not legally possess a firearm.
While references to the sexual exploitation of maidservants appear in literature, it was considered disgraceful for a man to keep such women under the same roof as his wife.
While the budget consists of limited amount of donations and business operations owned by the party, its majority comes from the grant of national treasury, the same way that supports the other 8 subordinative registered parties, which making a bizarre exception among modern political parties.
While the serfs were of the same race and religion, serfs were not free to marry whomever their heart desired.
While some are dark skinned and insist on their own customs, others are of the same color and are Christians or Muslim like the communities they live in.
While they had the same skin color and religion as the majority, in the Churches, they had to use segregated doors, drink from segregated fonts, receive communion on the end of long wooden spoons.
While both versions serve much the same purpose, the details of the protocol for IPv4 and IPv6 are sufficiently different that they may be considered separate protocols.
While the reformers and the Baptists shared the same beliefs in baptism by immersion and congregational polity, it was soon clear that the reformers were not traditional Baptists.
While TT is strictly uniform ( being based on the SI second, every second is the same as every other second ), it is in practice realised by International Atomic Time ( TAI ) with an accuracy of about 1: 10 < small >< sup > 14 </ sup ></ small >.
While this could be at infinity, a much more useful reference is the Earth itself, which is assumed to be at the same potential everywhere.
While the divergence point of the mtDNA was unexpectedly deep in time, the full genomic sequence suggested the Denisovans belonged to the same lineage as Neanderthals, with the two diverging shortly after their line split from that giving rise to modern humans.
While contemporary folk music is a genre generally distinct from traditional folk music, in English it shares the same name, and it often shares the same performers and venues as traditional folk music.
However, these images are still mediated by the same factors as traditional film, such as the “ moving camera, composition, editing, lighting, and all varieties of sound .” While acknowledging the value in inserting positive representations of women in film, some critics asserted that real change would only come about from reconsidering the role of film in society, often from a semiotic point of view.
While in her early works Daly expressed a desire to reform Christianity from the inside, she would later come to the same point as several other feminists, that Christianity is not able to enact the necessary changes as it is.
While the soft value of ⟨ g ⟩ varies in different Romance languages ( in French and Portuguese, in Catalan, in Italian and Romanian, and in Castilian Spanish, and in other dialects of Spanish ), in all except Romanian and Italian, soft ⟨ g ⟩ has the same pronunciation as the ⟨ j ⟩.

While and equation
While the equation is definitely superior to the ideal gas law and does predict the formation of a liquid phase, the agreement with experimental data is limited for conditions where the liquid forms.
While the van der Waals equation is commonly referenced in text-books and papers for historical reasons, it is now obsolete.
While superior to the van der Waals equation of state, it performs poorly with respect to the liquid phase and thus cannot be used for accurately calculating vapor-liquid equilibria.
While numerous theories and principles are related to the Fermi paradox, the most closely related is the Drake equation.
While studying these languages, Abel published his first notable work in 1824, Mémoire sur les équations algébriques où on démontre l ' impossibilité de la résolution de l ' équation générale du cinquième degré ( Memoir on algebraic equations, in which the impossibility of solving the general equation of the fifth degree is proven ).
While linear, this equation has a more complex form than the equations given above, as it must account for both longitudinal and transverse motion:
While this equation suggests that the activation energy is dependent on temperature, in regimes in which the Arrhenius equation is valid this is cancelled by the temperature dependence of k. Thus, E < sub > a </ sub > can be evaluated from the reaction rate coefficient at any temperature ( within the validity of the Arrhenius equation ).
While the complex form has an imaginary component, after the necessary calculations are performed in the complex plane, its real value can be extracted giving a real valued equation representing an actual plane wave.
While precise calculation of positronium energy levels uses the Bethe-Salpeter equation, the similarity between positronium and hydrogen allows for a rough estimate.
While de Broglie – Bohm theory has Lagrangians and Hamilton-Jacobi equations as a primary focus and backdrop, with the icon of the quantum potential, Bohmian mechanics considers the continuity equation as primary and has the guiding equation as its icon.
While the 1 drops out of this equation, it is important to note that the number X is divided by is the value of the lower decade line.
The above equation is known as the fundamental thermodynamic relation, for which the independent variables are taken as S and V, with respect to which T and P are partial derivatives of U. While this has been derived for quasistatic changes, it is valid in general, as U can be considered as a thermodynamic state function of the independent variables S and V.
While still a student, Ambartsumian thoroughly studied the theory of atomic structure, the formation of energy levels, and the Schrödinger equation and its properties, and when he mastered the theory of eigenvalues of differential equations, he pointed out the apparent analogy between discrete energy levels and the eigenvalues of differential equations.
While sharing an office at Brookhaven National Laboratory, in 1954, Chen Ning Yang and Mills proposed a tensor equation for what are now called Yang-Mills fields.
While the ordinary Schrödinger equation does not admit advanced solutions, its relativistic version does, and these advanced solutions are the ones used by TIQM.
While in theory all stars or other " point sources " of a given wavelength and seen through a given aperture have the same Airy disk radius characterized by the above equation ( and the same size diffraction pattern ), differing only in intensity ( the " height " of the surface plot at upper right ), the appearance is that fainter sources appear as smaller disks, and brighter sources appear as larger disks.
While still a student Hambardzumyan was very much interested in quantum physics, and thoroughly studied the theory of atomic structure, the formation of energy levels, and Schroedinger's equation and its properties, and when he mastered the theory of eigenvalues of differential equations, he pointed out the apparent analogy between discrete energy levels and the eigenvalues of differential equations.
While B < sub > o </ sub > in the previous equation is mass-independent, it is not explicitly independent of temperature.
While stressing there can be no equation between genocide and war crimes, Alison Des Forges of Human Rights Watch says RPF leaders do have a case to answer.
While the choice of which variables to include in each equation was partly guided by economic theory ( for example, including past income as a determinant of consumption, as suggested by the theory of adaptive expectations ), variable inclusion was mostly determined on purely empirical grounds.
While homogeneous equations are relatively easy to solve, this method allows the calculation of the coefficients of the general solution of the inhomogeneous equation, and thus the complete general solution of the inhomogeneous equation can be determined.

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