Therefore, the compounds SgF < sub > 6 </ sub > and SgCl < sub > 6 </ sub > are predicted, and " eka-tungsten character " may show itself in increased stability of the hexabromide, SgBr < sub > 6 </ sub >.

Therefore, comparing the observed X-ray flux to the predicted value yields relatively accurate distances.

Therefore, although the observed variables in logistic regression are categorical, the predicted scores are actually modelled as a continuous variable ( the logit ).

Therefore, the heat capacity of a gas of N diatomic molecules is predicted to be 7N · k < sub > B </ sub >: the momenta p < sub > 1 </ sub > and p < sub > 2 </ sub > contribute three degrees of freedom each, and the extension q contributes the seventh.

Therefore, the central atom is predicted to adopt a linear geometry.

Therefore the information flow is only in one direction, and it is not until the end of the chain that errors, changes and corrections can be relayed to the start of the sequence, causing estimated costs to be under predicted.

Therefore, four loose families of more-efficient light transport modelling techniques have emerged: rasterization, including scanline rendering, geometrically projects objects in the scene to an image plane, without advanced optical effects ; ray casting considers the scene as observed from a specific point-of-view, calculating the observed image based only on geometry and very basic optical laws of reflection intensity, and perhaps using Monte Carlo techniques to reduce artifacts ; and ray tracing is similar to ray casting, but employs more advanced optical simulation, and usually uses Monte Carlo techniques to obtain more realistic results at a speed that is often orders of magnitude slower.

Therefore, even though the relative geometry of the Earth-Sun-Moon system will be nearly identical after a saros, the Moon will be in a different position with respect to the stars.

Therefore, in Euclidean geometry, any two lines that are both perpendicular to a third line are parallel to each other, because of the parallel postulate.

" Therefore any result in Euclidean geometry that follows from these three postulates will hold in elliptic geometry, such as proposition 1 from book I of the Elements, which states that given any line segment, an equilateral triangle can be constructed with the segment as its base.

Therefore, this case is what usually is meant when talking about Hilbert's sixteenth problem in real algebraic geometry.

Therefore, to produce the image which the retina beholds, using projective geometry techniques, it may be convenient to substitute a spherical surface of projection for a plane of projection, i. e., use a " picture sphere " rather than a " picture plane " and place the eye, or " station point ," at the center of the picture sphere.

Therefore distance geometry has immediate relevance where distance values are determined or considered, such as in surveying, cartography and physics.

Therefore, the relative satellite-receiver geometry plays a major role in determining the precision of estimated positions and times.

Therefore the multistatic ambiguity function is mostly usefully defined as a function of two-or three-dimensional position and velocity vectors for a given multistatic geometry and transmitted waveform.

Therefore, since geometry is important in screen applications, screen materials should be at least specified by their gain and their total reflectance.

Therefore this is also the geometry of a C < sup > 2 </ sup >/ Z < sub > n </ sub > orbifold in string theory after its conical singularity has been smoothed away by its " blow up " ( i. e., deformation ).

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, the lumber is bought in planks and ripped to size for battens, etc., on a table saw.

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, in one way Kemble and Lappenberg have been vindicated.

Therefore the government wanted no part of him.

Therefore, he decided he was unfair to the young man and should make an effort to understand and sympathize with his point of view.

Therefore, give Him your affection and store up His love for you.

Therefore, sharp turns in a shelter entrance will reduce radiation intensity inside the shelter.

Therefore, civil defense instructions received over CONELRAD or by other means should be followed.

Therefore, the only unknown structural feature would appear to be whether the hydrogen atoms are located symmetrically ( 1 ) or asymmetrically ( 3 ).

Therefore, detergents are used.

Therefore, an explanation of this alveolar bronchial artery supply might be the nutritive requirement of an increased amount of supportive tissue, not primarily diffusing in nature, in the region of the alveolus.

Therefore, under independent voting, Af or 0.36 of the couples would cast two votes for picture A, and Af or 0.16 would cast two votes for picture B.

Therefore each binomial trial can be thought of as producing a value of a random variable associated with that trial and taking the values 0 and 1, with probabilities Q and P respectively.

Therefore, third-grade children were chosen as subjects for this study.