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Therefore and lines
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, to reduce the number of chips required, it included features such as clock generator, interrupt controller, timers, wait state generator, DMA channels, and external chip select lines.
Therefore, language, in the absence of translation, comprises a barrier to a worldwide community of debate and opinion, although it is also true that media within any given society may be split along class, political or regional lines.
Therefore the concept is especially good at explaining many forms of altruism, regardless of a common misuse of the term along the lines of a selfishness gene.
Therefore, in any geometric problem we have an initial set of symbols ( points and lines ), an algorithm, and some results.
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, if lines a and b are parallel, any of the following conclusions leads to all of the others:
Therefore Voronoi diagram boundaries consist of segments of such lines or planes.
Therefore, healthy young women would need to be induced to sell eggs to be used in the creation of custom stem cell lines that could then be purchased by the medical industry and sold to patients.
" Therefore, automakers differentiate among their product lines in " collusion " with the car-buying public.
Therefore another piece can make the Novotny interference in those lines.
Therefore, the workers ' party must use their autonomous organisation to push a political programme which threatens the bourgeois status quo, along the following lines:
Therefore, pages 1 to 9 and pages 256 to 265, presumably the first ones printed, have 40 lines each.
Therefore, Shakespeare must rewrite the plays and help the actors re-learn their lines.
Therefore, at the intersection point of these two lines, all three powers must be equal, h < sub > 1 </ sub > = h < sub > 2 </ sub > = h < sub > 3 </ sub >.
Every block was inscribed with 23 lines of text with 14 characters per line, Therefore, each block, counting both sides, contained a total of 644 characters.
The points A, B, a, and b are coplanar because of the assumed concurrency of A. a and B. b. Therefore, the lines ( A. B ) and ( a. b ) belong to the same plane and must intersect.
Therefore these lines by an unknown poet describes the condition of Kanpur today:
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, to find ( x1 = 0, x2 = 1, x3 = 1 ), begin at x1, traverse down the dotted line to x2 ( since x1 has an assignment to 0 ), then down two solid lines ( since x2 and x3 each have an assignment to one ).
Therefore, much less finger pressure is needed, much greater precision is possible ( approaching that of a stylus, with a little experience ), much less skin oil is smeared onto the screen, and the fingernail can be silently moved across the screen with very little resistance, allowing for selecting text, moving windows, or drawing lines.
Therefore certain conventions must be used to indicate contrapuntal lines and chords, situations where more than one note is played simultaneously within a single staff.

Therefore and projective
Therefore, if the sections never simultaneously vanish, they determine a form: ...: s < sub > r </ sub > which gives a map from X to P < sup > r </ sup >, and the pullback of the dual of the tautological bundle under this map is L. In this way, projective space acquires a universal property.
Therefore the classifying space BC < sub > 2 </ sub > is of the homotopy type of RP < sup >∞</ sup >, the real projective space given by an infinite sequence of homogeneous coordinates.
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.
These are ten in number ; therefore the cubic curves form a projective space of dimension 9, over any given field K. Each point P imposes a single linear condition on F, if we ask that C pass through P. Therefore we can find some cubic curve through any nine given points, which may be degenerate, and may not be unique, but will be unique and non-degenerate if the points are in general position ; compare to two points determining a line and how five points determine a conic.
* Therefore, the collection of projective sets has the uniformization property.
Therefore it follows from projective determinacy, which in turn follows from sufficient large cardinals, that every projective set ( in a Polish space ) has the property of Baire.

Therefore and plane
Therefore, the flat surfaces tend to grow larger and smoother, until the whole crystal surface consists of these plane surfaces.
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 convex hull of a set X of three or more points in the plane is the union of all the triangles determined by triples of points from X, and more generally in N-dimensional space the convex hull is the union of the simplices determined by at most N + 1 vertices from X.
Therefore, more generally, a map projection is any method of " flattening " into a plane a continuous surface having curvature in all three spatial dimensions.
Therefore, any surface that is not in line with the three major axis needs its own projection plane to show the features correctly.
Therefore, the state vector remains in the plane spanned by and after each application of the operators and, and it is straightforward to check that the operator of each Grover iteration step rotates the state vector by an angle of.
Therefore, despite the snow, the passengers were called back out to the plane just 15 minutes after leaving it.
Therefore, the shape of the open surface of a fluid equals the equipotential plane of the applied outer conservative force field.
Therefore, the displacement vector r and its velocity v are always in the plane perpendicular to the constant vector L.
Therefore, the image of a circular lens is equal to the object plane function convolved against the Airy function ( the FT of a circular aperture function is J < sub > 1 </ sub >( x )/ x and the FT of a rectangular aperture function is a product of sinc functions, sin x / x ).
Therefore, letting r tend to infinity ( we let r tend to infinity since f is analytic on the entire plane ) gives a < sub > k </ sub >
Therefore, knowing the radius of the sphere, and the distance from the plane of the small circle to C, the radius of the small circle can be determined using the Pythagorean theorem.
Therefore the radio itself, and possibly the user's hand, serves as a rudimentary ground plane.
Therefore, a Fischer projection cannot be rotated by 90 ° or 270 ° in the plane of the page or the screen, as the orientation of bonds relative to one another can change, converting a molecule to its enantiomer.
Therefore use of the functional equation is basic, in order to study the zeta-function in the whole complex plane.
Therefore, to map back into the real plane we must perform the homogeneous divide or perspective divide by dividing each component by w < sub > c </ sub >:
Therefore, compressive stress in the direction perpendicular to the half plane promotes positive climb, while tensile stress promotes negative climb.
Therefore, the converging ( partial ) spherical wave shown in the figure above produces an Airy disc in the image plane.
Therefore in terms of the affine plane its equation is
Therefore on that plane language does not matter in the least ; but helpers working in the astral world, who have not yet the power to use the mental vehicle.

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