Therefore, it does not apply exclusively to materials in their entirely unprocessed state, for instance dimensional lumber, glass and steel.

Therefore, it is plain that the clear distinctions of the nineteenth century are no longer with us.

Therefore, what we must prove or disprove is that there were Saxons, in the broad sense in which we must construe the word, in the area of the Saxon Shore at the time it was called the Saxon Shore.

Therefore, under our longstanding allocation rules, on some of these channels no station other than the dominant ( class 1 ) -- A ) station is permitted to operate at night, so that the 1, -- A station can render service, interference free, wherever it can be received.

Therefore, if the target can significantly change its location in something less than 30 minutes, the probability of having destroyed it is drastically lowered.

Therefore, neglecting the extreme outbursts, reflected solar radiation is not expected to cause sizable errors in the measurements of planetary radiation in the centimeter- and decimeter-wave-length range.

Therefore, N is inversely proportional to the radius cubed and in fair agreement with the inverse 7/2 power derived from 1958 Alpha and 1959 Eta data.

Therefore, Af is single-valued near Q.

Therefore, for any value of T the number of values of f{t} is equal to the ( finite ) number of tangent points corresponding to the argument T plus an odd number.

Therefore, the congruence of its secants, that is the image of a general plane field of lines, is of order Af and class Af.

Therefore, it is not only a question of honor but of life and death for the Soviet state ''.

Therefore, if the sense of touch is functioning normally and there is a complete absence of spatial awareness in a psychically-blind person when the eyes are closed and an object is handled, the conclusion seems unavoidable that touch by itself cannot focus and take possession of the third-dimensionality of things and that actual sight or visual representations are necessary.

Whereas, John Brown has cheerfully risked his life in endeavoring to deliver those who are denied all rights and is this day doomed to suffer death for his efforts in behalf of those who have no helper: Therefore,

Therefore, a broad concept of over-all submarine defense is needed for co-ordination of the Navy's efforts, for a logical presentation to the public, for industry's guidance, and as a basis for a program to the Congress.

Therefore the second principle of the plan must be that, while providing for all-out hostilities, its effectiveness is not dependent on general war.

Therefore, it is recommended that in such cases the sample be replaced, or if used, the results of dimensional change or dimensional restorability tests be considered as indicative only.

Therefore, her wardrobe is largely mobile, to be packed at a moment's notice and to shake out without a wrinkle.

Therefore, by contraposition, a necessary condition for unit-treatment additivity is that the variance is constant.

Therefore the perfect of these verbs would be ich bin gesessen, ich bin gelegen and ich bin geschlafen respectively ( note: ich bin geschlafen is a very rare form, usually you will hear ich habe geschlafen ; but ich bin eingeschlafen fell asleep is quite normal ).

Therefore, pure antimony is not used to make hard objects: coins made of antimony were issued in China's Guizhou province in 1931, but because of their rapid wear, their minting was discontinued.

Therefore, the two Deccas became separate companies and remained so until American Decca's parent company bought British Decca's parent company in 1998.

Therefore when a modern road groupset is bought after-market ( as an upgrade for an older bike, or for someone building their own bike ), the customer can choose which parts they require, the price of the groupset is just the individual prices of the chosen parts added together.

Therefore, in 1919, a private residence named ' Netherton ' on Wellesley Road was bought by the Ruskin House committee.

Therefore successful farmers, especially on the Great Plains, bought up as much land as possible, purchased very expensive mechanical equipment, and depended on migrating hired laborers at harvesting time.

Therefore, special boards can't be used / bought while he is selected, and his boards can't be re-painted.

Therefore it was a major landmark when in 1865 Johann Josef Loschmidt measured the size of the molecules that make up air.

Therefore, given any positive integer n, it produces a string with Kolmogorov complexity at least as great as n. The program itself has a fixed length U. The input to the program GenerateComplexString is an integer n. Here, the size of n is measured by the number of bits required to represent n, which is log < sub > 2 </ sub >( n ).

Therefore, it works as a neutron reflector and neutron moderator, effectively slowing the neutrons to the thermal energy range of below 0. 03 eV, where the total cross section is at least an order of magnitude lower – exact value strongly depends on the purity and size of the crystallites in the material.

Therefore, local changes in concentration ( e. g. Creaming and Sedimentation ) and global changes in size ( e. g. flocculation, coalescence ) are detected and monitored.

Therefore, local changes in concentration ( i. e. creaming ) and global changes in size ( i. e. flocculation, coalescence ) can be detected and monitored.

More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.

Therefore landing on a gas giant may or may not be possible, depending on the size and composition of its core.

Therefore it is not possible to produce an algorithm that reduces the size of every possible input sequence.

Therefore, it seems that the large crests only developed in males when they reached their large, adult size, making the sex of immature specimens difficult to establish from partial remains.

Therefore, the size the track will determine where the 200-meter line is ( for 250 m tracks, it is about two-thirds of the way through the first bend ; for 200-meter tracks, it is the finish line ; for 400-meter tracks, it is the start line in the back straight ).

Therefore, the resonant frequency of the plate, which depends on its size, will not change much, either.

Therefore, considering the fact that the " Discount " must match the benefits obtained from a similar Investment Asset, the " Discount Yield " must be used within the same compounding mechanism to negotiate an increase in the size of the " Discount " whenever the time period the payment is delayed or extended .< Ref Name =" Economics_Discount "/> The “ Discount Rate ” is the rate at which the “ Discount ” must grow as the delay in payment is extended .< Ref Name =" MathEcon_Chiang "> Alpha C Chiang, " Fundamental Methods of Mathematical Economics, Third Edition ", McGraw Hill Book Company, 1984 .</ ref > This fact is directly tied into the " Time Value of Money " and its calculations.

Therefore the area under the frequency curve between two sizes a and b represents the total fraction of the particles in that size range:

Dingoes howl in chorus with significant pitches and with increasing number of pack-members the variability of pitches also increases Therefore, it is suspected that dingoes can measure the size of a pack without visual contact.

Therefore the design, size, and construction of the telescopes vary as well.

Therefore, as viewed from any point on Earth, both objects have approximately the same solid angle as well as apparent size.

Therefore, brute-force search is typically used when the problem size is limited, or when there are problem-specific heuristics that can be used to reduce the set of candidate solutions to a manageable size.

Therefore, pigments and other ingredients in the cosmetic need to be further ground through some specific milling apparatus to form a homogeneous and fine particle dispersed paste like products ( the ideal pigment particle size should be in 10-30 nm ).

Therefore, sand mills is hard to decrease the particle size to the nano range.

Therefore polymer in good solvent has larger size and behaves like a fractal object.

Therefore it changed its name to the Independent Socialist League, an acknowledgement that its size and capacities did not warrant the name " party.

Therefore, local changes in concentration ( drainage, syneresis ) and global changes in size ( ripening, coalescence ) are detected and monitored.

Therefore in MacRitchie's view the Irish myths and folkloric accounts which describe the Fianna as " giants " only did so in a non-literal figurative sense to describe their savage type nature, not size.