Thus in his friends are stranger than his sisters' strong stresses are normal for his and sisters', but in his friends are stranger than his sisters strong stresses are normal for friends and sisters.

Thus, Cowboy Bebop was not just a normal anime series produced by Sunrise.

Thus, if an emerald has no visible inclusions to the eye ( assuming normal visual acuity ) it is considered flawless.

Thus, although there is an esoteric tradition in Judaism ( Kabbalah ), Rabbinic scholar Max Kadushin has characterized normative Judaism as " normal mysticism ", because it involves everyday personal experiences of God through ways or modes that are common to all Jews.

Thus the area of S < sub > D </ sub > is obtained by integrating the length of the normal vector to the surface over the appropriate region D in the parametric uv plane.

Thus, on a weight-for-weight basis they are significantly more energetic than normal condensed explosives.

Thus, some regard Goodall's observations as distortions of normal chimpanzee behavior.

Thus, protein is not normally used for fuel, and so should not be counted as a food calorie in normal situations ; nevertheless, it is usually taken into account.

Thus, this cherry-red spot is the only normal part of the retina ; it shows up in contrast to the rest of the retina.

Thus, all the sugars manufactured by leaves on that branch have no sinks to go to but the one fruit / vegetable, which thus expands to many times normal size.

Thus it is important that PS is maintained only in the inner leaflet of the bilayer to ensure normal blood flow in microcirculation.

Thus, it was quite normal for a powerful person to use a T-form but expect a V-form in return.

Thus " normal asexual reproduction " of plants, such as propagation from cuttings or leaves, has never been considered to be apomixis, but replacement of the seed by a plantlet, or replacement of the flower by bulbils are types of apomixis.

Thus an eye care professional, having determined that a myopic ( nearsighted ) person requires a basic correction of, say, − 2 dioptres to restore normal distance vision, might then make a further prescription of ' add 1 ' for reading, to make up for lack of accommodation ( ability to alter focus ).

Thus, in a significant sense, plaintext is the ' normal ' representation of data before any action has been taken to conceal, compress, or ' digest ' it.

Thus some prior information of the geometry is needed to define the correct normal direction.

Thus, while in England " Maundy Thursday " is the normal term, this term is rarely used in Ireland or Scotland in religious contexts.

Thus the normal vector space and the normal affine space have dimension 1 and the normal affine space is the z-axis.

Thus, in scenarios where the TCP port used by XMPP is blocked, a server can listen on the normal HTTP port and the traffic should pass without problems.

If a coagulation factor is part of the contact activation or tissue factor pathway, a deficiency of that factor will affect only one of the tests: Thus hemophilia A, a deficiency of factor VIII, which is part of the contact activation pathway, results in an abnormally prolonged aPTT test but a normal PT test.

Thus we see an extremely luminous supernovae of extended duration even though the initial explosion energy was the same as that of a normal supernova.

Thus, for example, Euclidean space, affine space and projective space are all in natural ways homogeneous spaces for their respective symmetry groups.

Thus, there is no affine plane of order 6 or order 10.

Thus, for example, a quantity X which is known to lie in the range can be represented by the affine form, for some k. Conversely, the form implies that the corresponding quantity X lies in the range.

Thus, because of roundoff errors, even affine operations like Z =

Thus the copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus, the binding energy to contain or trap a particle in a smaller region of space, increases without bound, as the region of space grows smaller.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

Thus, the vector space B ( X, Y ) can be given the operator norm

By a theorem of Gelfand and Naimark, given a B * algebra A there exists a Hilbert space H and an isometric *- homomorphism from A into the algebra B ( H ) of all bounded linear operators on H. Thus every B * algebra is isometrically *- isomorphic to a C *- algebra.

Thus, the material body will occupy different configurations at different times so that a particle occupies a series of points in space which describe a pathline.

Thus, the most stable configuration of nuclei and electrons is one in which the electrons spend more time between nuclei, than anywhere else in space.

Thus if one chooses an infinite number of points in the closed unit interval, some of those points must get arbitrarily close to some real number in that space.

Thus a representation that compresses a 10MB file to 2MB would yield a space savings of 1-2 / 10 =

Thus, a field due to any particular particle or time-varying electric or magnetic field contributes to the fields present in the same space due to other causes.

Thus, actual address space utilization rates will be small in IPv6, but network management and routing efficiency is improved by the large subnet space and hierarchical route aggregation.

Thus, we might as well treat that eigenspace as the actual Hilbert space of the system.

Thus Euclidean geometry corresponds to the choice of the group E ( 3 ) of distance-preserving transformations of the Euclidean space R < sup > 3 </ sup >, conformal geometry corresponds to enlarging the group to the conformal group, whereas in projective geometry one is interested in the properties invariant under the projective group.

This identifies the tangent space T < sub > e </ sub > at the identity with the space of left invariant vector fields, and therefore makes the tangent space at the identity into a Lie algebra, called the Lie algebra of G, usually denoted by a Fraktur Thus the Lie bracket on is given explicitly by = < sub > e </ sub >.

Within the space of these tendencies there has developed a coherent critique of " orthodox Marxism " that includes not only a rejection of the concept of " the transition " but a reconceptualization of the process of transcending capitalism that has remarkable similarities to ( Peter ) Kropotkin's thinking on this subject ... Thus one of the earliest political tendencies within which this approach appeared after the Russian revolution of 1917 was that of " Council Communism " which saw the " workers councils " in Germany ( see Bavarian Soviet Republic ), or the soviets in Russia, as new organizational forms constructed by the people.

Thus, special relativity " mixes " electricity and magnetism into a single, inseparable phenomenon called electromagnetism, analogous to how relativity " mixes " space and time into spacetime.

Thus it made sense to not map the memory between programs for IPC, but instead migrate the program code being used into the local space of the program.

Thus, in place of God's role as guarantor of the coherence of the world, Kant posits a faculty of reason structured by the forms of our intuition ( our sense of time and space ) and the categories of our understanding ( like the notion of cause and effect ).

" Thus, it is She who becomes the time and space, the cosmos, it is She who becomes the five elements, and thus all animate life and inanimate forms.