Thus, the boundary layer over the body grows and can often merge with the shock wave.

Thus, the DCT-I corresponds to the boundary conditions: x < sub > n </ sub > is even around n = 0 and even around n = N-1 ; similarly for X < sub > k </ sub >.

Thus chunks with odd lengths will be " padded " to an even byte boundary by adding a so-called " pad byte " after their regular end.

Thus Pennsylvania's southern boundary as defined in its charter was contradictory and unclear.

Thus it protects these shallow water areas ( in the Baltic Sea, the National Park boundary is based on the ten-metre depth contour ) with their rich flora and fauna.

Thus, the DST-I corresponds to the boundary conditions: x < sub > n </ sub > is odd around n =- 1 and odd around n = N ; similarly for X < sub > k </ sub >.

Pakistan believes that under uti possidetis juris it should not require one because courts in several countries around the world and the Vienna Convention have universally upheld via uti possidetis juris that binding bilateral agreements are " passed down " to successor states Thus, a unilateral declaration by one party has no effect ; boundary changes must be made bilaterally.

If the problem is to solve a Dirichlet boundary value problem, the Green's function should be chosen such that vanishes when either x or x < nowiki >'</ nowiki > is on the bounding surface. Thus only one of the two terms in the surface integral remains.

Thus, Creating a sharp boundary between the cells expressing the transcription factor Nkx2. 2 ventral to the cells expressing Olig2.

Thus every cycle c in X is the boundary of some " cone "; one may take the cone to be the image of c under the homotopy.

) Thus, for example, the boundary of ( a curve going from to ) is the formal sum ( or " formal difference ").

Thus, in most of western and northern Norway ( the so-called high-pitch dialects ) accent 1 is falling, while accent 2 is rising in the first syllable and falling in the second syllable or somewhere around the syllable boundary.

Thus, general solutions can be specified by convolving the ( periodic ) boundary condition at t

Thus the A11 now starts at Aldgate, just inside the eastern boundary of the City of London.

Thus, we are quickly led to the case where has no boundary.

Thus, the smoother a boundary is, the shorter coding length it attains.

Thus a precise number of Saturnian moons cannot be given, as there is no objective boundary between the countless small anonymous objects that form Saturn's ring system and the larger objects that have been named as moons.

Thus he was Member of Parliament ( MP ) for Cardigan ( 1974 – 1983 ) and Ceredigion and Pembroke North ( 1983 – 1992 ) after boundary changes.

Thus, although the low-status nature of working poor people's jobs may have some negative psychological effects, some, but probably not all, of these negative effects can be counteracted through coping mechanisms such as boundary work.

Thus an LMS ( Load Memory Scan ) instruction is needed for data crossing a 4K boundary.

Thus, if the boundary of a field is a straight vertical line, a vertical slit forms between the two different color areas where they meet.

Thus, in two dimensions, the level set method amounts to representing a closed curve ( such as the shape boundary in our example ) using an auxiliary function, called the level set function.

Thus the hegemonic and homophobic press has read the pollution of the body that AIDS brings about as corresponding to the pollution of the homosexual's sexual activity, in particular his crossing the forbidden bodily boundary of the perineum.

Thus, the red regions deceivingly hint that they are centered on a pole ; this is not the case, as the poles lie on the disk boundary.

Thus, his estimate lies between Oliver's suggestion of at least 37 feet and the 50-foot `` monstrous freaks '' intimated by Heuvelmans.

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus it is reasonable to believe that there is a significant difference between the two groups in their performance on this task after a brief `` structuring '' experience.

Thus, if we are to observe American folklore in the twentieth century, we will do well to establish the relationships between folklore, nationalism and imperialism at the outset.

Thus it blurred the distinctions between a reliability trial, a general event and a race.

Thus, at pH between 2. 2 and 9. 4, the predominant form adopted by α-amino acids contains a negative carboxylate and a positive α-ammonium group, as shown in structure ( 2 ) on the right, so has net zero charge.

Thus, boundaries between CAM and mainstream medicine, as well as among different CAM systems, are often blurred and are constantly changing.

Thus in the spring of 1912, consultations between the various Christian Balkan nations resulted in a network of military alliances which became known as the Balkan League.

Thus the Bauhaus style, also known as the International Style, was marked by the absence of ornamentation and by harmony between the function of an object or a building and its design.

Thus permanent building societies quickly became mortgage banks and in such institutions there always existed a conflict of interest between borrowers and savers.

Thus, according to the Bank of England's Boxall and Gallagher ( 1997 ), "... there was virtually no difference between banks and building society ' listed ' interest rates for home finance mortgage lending between 1984 and 1997.

Thus, what started as an effort to translate between languages evolved into an entire discipline devoted to understanding how to represent and process natural languages using computers.

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, covalent bonding involves sharing of electrons in which the positively charged nuclei of two or more atoms simultaneously attract the negatively charged electrons that are being shared between them.

Thus, no two nuclear powers have yet fought a conventional war directly, with the exception of brief skirmishes between for example, China and Russia in the 1969 Sino-Soviet conflict and between India and Pakistan in the 1999 Kargil War.

Thus, Cyril followed his uncle in a position that had become powerful and influential, rivalling that of the prefect in a time of turmoil and frequently violent conflict between the cosmopolitan city's Pagan, Jewish, and Christian inhabitants.

Thus, the struggle between the sees of Alexandria and Antioch now included Constantinople.

Thus, it might be used to challenge the sharp distinction made in U. S. v. E. C. Knight ( 1895 ) between commerce, which was subject to federal regulation, and manufacturing, which was not.

Thus he divides perceptions between strong and lively " impressions " or direct sensations and fainter " ideas ", which are copied from impressions.

Thus, a short path between the hot surface and the cold surface is necessary, typically by suspending a hot plate covered with a film of feed next to a cold plate with a line of sight in between.

Thus any popular general-purpose data model usually well balances between being intuitive and relatively simple, and very complex with high expressive power.

Thus it works as a separation sign and not as an indication for an alternative version of the i. Diacritics can be used for emphasis ( érg koud for very cold ) or for disambiguation between a number of words that are spelled the same when context doesn't indicate the correct meaning ( één appel