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, 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, the change du < sub > θ </ sub > is orthogonal to u < sub > θ </ sub > and proportional to dθ ( see image above ):

Therefore, each image engenders its opposite.

Therefore, looking at an image of oneself with the front / back axis flipped is the same as looking at an image with the left / right axis flipped and the whole figure rotated 180 degrees about the vertical axis, which is exactly what one sees when standing in front of a mirror.

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, they may be represented as two radial vectors in a sphere in reciprocal space, which shows the values of q that are sampled in a given diffraction image.

Therefore we can express all the image frequencies as for any integer N ( with being the actual signal frequency ).

Therefore, the angle of view for any given focal-length lens will be narrower than it would be in a full-frame camera because the smaller sensor " sees " less of the image projected by the lens.

Therefore, although the specific terms " corporate image " and " brand identity " didn ’ t enter business or design vocabulary until the 1940s, within twenty years they became key elements to business success.

Therefore, the theory has been used to explore an array of dependent variables including disordered eating, mental health, depression, motor performance, body image, idealized body type, stereotype formation, sexual perception and sexual typing.

Therefore the visual image should be accurate in terms of dimensions and proportions, and should provide " an overall impression of what an object is or does, to enhance the viewer's interest and understanding ".

Therefore, is linearly independent and indeed a basis of image T. This proves that the dimension of image T is n, as desired.

Therefore, the lines seen in the image above are the wavelengths corresponding to on the right, to on the left ( there are infinitely many spectral lines, but they become very dense as they approach to ( Lyman limit ), so only some of the first lines and the last one appear ).

Therefore, a green image will produce a magenta afterimage.

Therefore, one can conclude that it is a very convenient framework to address numerous applications of computer vision and medical image analysis.

Therefore, one can seek for a probabilistic model towards explaining the variation of the shape of the organ and then when segmenting an image impose constraints using this model as prior.

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, secondary electrons are emitted from the surface of the isolating material when the electron image reaches the target, and the resulting positive charges are stored directly onto the surface of the isolated material.

Therefore users generally use either an existing Linux installation on a real partition or ready made filesystem image distributed by the project.

Therefore it is claimed that chorostasi gave both the name choros and the circular arrangement of the movement in the dance.

Therefore Rare Earth proponents conclude that a life-bearing star must have a galactic orbit that is nearly circular about the center of its galaxy.

Therefore the King created an official circular to all the press that listed the engagements carried out by his family.

Therefore, the time it would take a body to fall inward, turn around, and return to its original position is the same as the period of a circular orbit of radius, or

Therefore a rod of an active Kerr medium works like a lens for high intensity light.

Therefore any angular bandwidth contained in the source, which extends past the edge angle of the lens ( i. e., lies outside the bandwidth of the system ), is essentially wasted source bandwidth because the lens can't intercept it in order to process it.

Therefore, often this insertion must be done in concert with stopping down the lens in order to compensate enough to make any shift negligible given a greater depth of focus.

Therefore all communication can be looked at through a narrative lens, even though it may not meet the traditional literary requirements of a narrative.

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, 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.