Therefore, c divides the initial remainder r < sub > 0 </ sub >, since r < sub > 0 </ sub > = a − q < sub > 0 </ sub > b = mc − q < sub > 0 </ sub > nc = ( m − q < sub > 0 </ sub > n ) c. An analogous argument shows that c also divides the subsequent remainders r < sub > 1 </ sub >, r < sub > 2 </ sub >, etc.

Therefore, in industries with large initial investment requirements, average total cost declines as output increases over a much larger range of output levels.

Therefore, the assertion that an object R → R * is initial in E, that is, that there is a morphism from it to any other element of E, means that the ring R * is a most efficient solution to our problem.

Therefore, in any geometric problem we have an initial set of symbols ( points and lines ), an algorithm, and some results.

Therefore, the initial hierophany that establishes the Center must be a point at which there is contact between different planes — this, Eliade argues, explains the frequent mythical imagery of a Cosmic Tree or Pillar joining Heaven, Earth, and the underworld.

Therefore, when purchasing initial breeding stock, the breeder seeks a group of birds that will most closely fit the purpose intended.

Therefore, while Nintendo was the winner of the initial trial, before they could actually enforce the ruling they would need to have the patent hold up under scrutiny, as well as address Tengen ’ s antitrust claims.

Therefore, for the predator to succeed, it must have sufficient strength ( financial reserves, guaranteed backing or other sources of offsetting revenue ) to endure the initial lean period.

Therefore, heavy initial investment necessarily needs to be made in social overhead capital ( this is approximated to be about 30 to 40 percent of the total investment undertaken by underdeveloped countries ).

Therefore the transmission diameter of the variator pulley has to be changed one increment during an interval where the variator pulley rotates from an initial position where a portion of the toothed section of the variator pulley is positioned at the open section of the chain loop but not covering the entire open section, to the final position where the toothed section of the variator pulley passes by the open section of the chain loop and is about to re-engage with the chain.

Therefore, a medical faculty was included in the initial university, established in 1669 by emperor Leopold I, making it the first of its kind in the Alpine region.

Therefore, the letter " Gamma " was chosen to be added since it is the third letter of the Greek alphabet, thus corresponding with the " C " in the Latin alphabet -- " C " being the initial of Christ.

Therefore its initial jurisdiction, as defined by the Statute of Rhuddlan, was as a court where only the king could bring cases.

Therefore, repeat doses of flumazenil may be required to prevent recurrent symptoms of overdosage once the initial dose of flumazenil wears off.

Therefore is it possible that Holungen ’ s founding could date back as far as the initial colonisation of modern Germany by Germanic peoples.

Therefore, the initial Spätlese terminology was for any late harvest wine, and the initial 1775 Spätlese wine was made from grapes that were affected by noble rot to the extent that they appeared unpalatable, and gave a very sweet wine.

Therefore, one reason for the play's outstanding initial success was its political allusiveness.

Therefore they were not likely to have been used in the initial capture of prey and Acrocanthosaurus probably led with its mouth when hunting.

Therefore, whatever contents of that memory at the time will appear as initial values of the variables which occupy those addresses.

Therefore, primary chloroma could be considered an initial manifestation of acute leukemia, rather than a localized process, and could be treated as such.

Therefore, a federal court may still apply the " procedural " rules of the state of the initial filing, if the federal law would " abridge, enlarge, or modify " a substantive right provided for under the law of the state.

"" Therefore the community cannot be thought of as abody, as a corporation in which individuals are reflected in each other so as to confirm their initial identity ; as a collective bond that comes at a certain point to connect individuals that before were separate.

Therefore, by 1958, a campus site of was acquired in southwest Houston, and, in 1960, the initial financial goal of repaying the loan was reached as a result of a campaign among the churches.

Therefore, discs with capacities larger than 650 MB, and especially those larger than 700 MB, are less interchangeable among players / drives than standard discs and are not very suitable for archival use, as their readability on future equipment, or even on the same equipment at a future time, is not assured, even under the assumption that the discs will not degrade at all.

Therefore, they do not accept results based on the assumption of a well-defined probability distribution.

Therefore the delta-v required for the Hohmann transfer can be computed as follows, under the assumption of instantaneous impulses:

Therefore, the significant terms near the origin under this assumption are only those lying on the line and the others may be ignored it produce a simple approximate equation for the curve.

Therefore, bite marks found at the scene are often analyzed under the assumption that they have undergone minimal distortion.

Therefore, the X-ray flux at the peak of the burst should correspond to Eddington luminosity, which can be calculated once the mass of the neutron star is known ( 1. 5 solar masses is a commonly used assumption ).

Therefore, many macroeconomists feel that price flexibility is a good assumption for studying long-run issues, such as growth in real GDP.

Therefore, he spoke of the relativity principle as the " Lorentz-Einsteinian " basic assumption.

Therefore, the assumption of normality imposes the minimal prior structural constraint beyond these moments.

Therefore, the assumption that is false is an expansion.

Therefore we always called it an illness, or a malady — a far safer term for us to use.

Therefore it is Excellent in the beginning ( Sīla — Moral principles ), Excellent in the middle ( Samadhi — Concentration ) and Excellent in the end ( Pańña — Wisdom ).

Therefore, some of the symptoms of hyperthyroidism may be nervousness, irritability, increased perspiration, heart racing, hand tremors, anxiety, difficulty sleeping, thinning of the skin, fine brittle hair, and muscular weakness — especially in the upper arms and thighs.

" Therefore in this early period it was Wycliffe who recognised and formulated one of the two major formal principles of the Reformation — the unique authority of the Bible for the belief and life of the Christian.

The other triose, the aldose H ( C = O )( CHOH )< sub > 2 </ sub > H ( glyceraldehyde ), has one chiral carbon — the central one, number 2 — which is bonded to groups-H ,-OH ,-C ( OH ) H < sub > 2 </ sub >, and -( C = O ) H. Therefore, it exists as two stereoisomers whose molecules are mirror images of each other ( like a left and a right glove ).

Therefore a log-log plot that is slightly " bowed " downwards can reflect a log-normal distribution — not a power law.

Therefore, all of these color systems compromise luma quality to some extent in exchange for the addition of color — i. e. all of these color signals look worse at some time or other than they would if the color signal were absent.

Therefore, it is proper to accord to them a fervent and reverent adoration, not, however, the veritable worship which, according to our faith, belongs to the Divine Being alone — for the honor accorded to the image passes over to its prototype, and whoever adores the image adores in it the reality of what is there represented.

Therefore, for synthetic elements the total nucleus count ( protons plus neutrons ) of the most stable isotope, i. e. the isotope with the longest half-life — is listed in brackets as the atomic mass.

Therefore, that same businessperson in Y2008 can make an " elective deferral " of $ 15, 500 plus a profit sharing contribution of $ 25, 000 ( i. e. 25 %), and — if this person is over age 50 — make a catch-up contribution of $ 5, 000 for a total of $ 45, 500.

Therefore these arguments held that a group of people can join a government because it has the capacity to exercise a single will and make decisions with a single voice in the absence of sovereign authority — a notion rejected by Hobbes and later contract theorists.

Therefore, the Bayeux Tapestry was not unique at the time it was created — rather it is remarkable for being the sole surviving example of Middle Ages ' narrative needlework.

Therefore, the word " vaccination " — first used by Edward Jenner ( an English physician ) in 1796 — has the Latin root vaccinus meaning of or from cows.

Therefore, when mechanically stimulated — by boat, swimming or waves, for example — a blue sparkling light can be seen emanating from the sea surface.

Therefore both factions belong to the same sovereign country — China.

Therefore, some scholars associate Mopsus ' activities along the coast of Asia Minor and the Levant with the famous Sea Peoples ' attacking Egypt in the beginning of the 12th century BC, one of those peoples being the Denyen — comparable to the d-n-n-y-m of the Karatepe inscription.

Therefore I think that — if you want it made clear to the meanest intelligence — I love you more than I love Others.