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Thus and represents
Thus, mD represents a case with hypomania and major depression.
Thus, at a given angular rate of rotation, a concave surface represents the stable situation, and the more rapid the rotation, the more concave this surface.
Thus in Modern Greek, Eta is pronounced and represents the sound / i / ( a close front unrounded vowel ).
Thus, in the word ship ( pronounced ), the digraph ⟨ sh ⟩ ( two letters ) represents the sound.
Thus if a represents Socrates then Phil ( a ) asserts the first proposition, p ; if a instead represents Plato then Phil ( a ) asserts the second proposition, q.
Thus, the Jones vector represents ( relative ) amplitude and ( relative ) phase of electric field in x and y directions.
) Thus the main sequence represents the primary hydrogen-burning stage of a star's lifetime.
Thus, in several languages of the Banks Islands, including Mwotlap, the simple m stands for, but an m with a macron ( m ̄) is a labial-velar nasal ; while the simple n stands for the common alveolar nasal, an n with macron ( n ̄) represents the velar nasal ; the vowel ē stands for a ( short ) higher by contrast with plain e ; likewise ō contrasts with plain o.
Thus Kim Jong-il was, until 2011, in substance head of the state, but theoretically the chairman of the SPA Presidium represents the state and is responsible for foreign affairs, such as reception.
Thus represents a sequence of three phonemes,, ( the word push in standard English ), while represents the phonetic sequence of sounds ( aspirated " p "),, ( the usual pronunciation of push ).
Thus AB represents shadows and reflections of physical things, and BC the physical things themselves.
Thus, a cap of 13 million tons could be credited to Japan ( which represents about 4 % of its base-year emissions ).
Thus, in the language of some Jewish poets, the beloved one's curls indicate the mysteries of the Deity ; sensuous pleasures, and especially intoxication, typify the highest degree of divine love as ecstatic contemplation ; while the wine-room represents merely the state through which the human qualities merge or are exalted into those of God.
Thus for a transition, K represents the core level hole, the relaxing electron's initial state, and the emitted electron's initial energy state.
Thus, the reading is given by the number of whole divisions that are visible on the scale of the frame, multiplied by 25 ( the number of thousandths of an inch that each division represents ), plus the number of that division on the thimble which coincides with the axial zero line on the frame.
Thus, on these processors, the bit represents an ' is_quiet ' flag.
Thus, on these processors, the bit represents an ' is_signaling ' flag.
Thus the set of functions, where g is any one-argument function, represents the entire set of functions in variables x, y that could have produced the x-partial derivative 2x + y.
Thus if S. tchadensis is an ancestral relative of the chimpanzees ( or gorillas ) then it represents the first known member of their lineage.
Thus, E ( k ) dk represents the contribution to the kinetic energy from all the Fourier modes with k < | k | < k + dk, and therefore,
Thus the premium represents the ability to instantly participate in the fruits of the fund manager's decisions.
Thus, maximin in the original position represents a formulation of social equality.
Thus a cask standing on end represents the mountain on which Christ is tempted by the Devil ; thunder is imitated by the report of a gun ; in order to signify that the Devil had entered into him, Judas holds a bird of black plumage before his mouth and makes it flutter.

Thus and sequence
Thus, an algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete system.
Thus for a limit ordinal, there exists a δ-indexed strictly increasing sequence with limit α.
Thus, knowing the students ' level on a developmental sequence provides information on the kind and level of knowledge they can assimilate, which, in turn, can be used as a frame for organizing the subject matter to be taught at different school grades.
Thus, the algorithm can be written as a sequence of equations
Thus the DTFT of the s sequence is also the Fourier transform of the modulated Dirac comb function .< ref group =" note "> We may also note that:
Thus we have the important result that when a discrete data sequence, s, is proportional to samples of an underlying continuous function, s ( t ), one can deduce something about the continuous Fourier transform, S ( ƒ ).
( Thus, they are called " macros " because a big block of code can be expanded from a small sequence of characters ).
Professional dance teachers in the US saw this approach to dancing as " extreme ", " undisciplined ", and thus, deemed it necessary to standardize the dance to present it as a sell-able commodity for the social or ballroom market Thus, compared to the mambo in Cuba, mambo had a different movement sequence in the United States and elsewhere, as it was popularized internationally.
Thus a point y in V is a cluster point of the net if and only if every neighborhood Y of y contains infinitely many elements of the sequence.
Thus, Y and Ba are stacked in the sequence along the c-axis.
e. g. The square-free number 42 has factorisation 2 × 3 × 7, or as an infinite product: 2 < sup > 1 </ sup > · 3 < sup > 1 </ sup > · 5 < sup > 0 </ sup > · 7 < sup > 1 </ sup > · 11 < sup > 0 </ sup > · 13 < sup > 0 </ sup > · ...; Thus the number 42 may be encoded as the binary sequence < tt >... 001011 </ tt > or 11 decimal.
Thus, if in the defining sequence of a recursive function the functions and appear, then terms of the form ' g ( 5 )= 7 ' or ' h ( 3, 2 )= 10 ' might appear.
Thus, two parties talking via satellite are subject to about a half second delay in a round-trip message / response sequence.
" Thus epigenetic can be used to describe anything other than DNA sequence that influences the development of an organism.
Thus, is a bounded monotonic sequence ( in m ), which must converge.
Thus the sequence "" is replaced with "".
Thus, Richard says, the real number r will not be included as any r < sub > n </ sub >, because the definition of r does not meet the criteria for being included in the sequence of definitions used to construct the sequence r < sub > n </ sub >.
Thus a valid sequence of die throws can be described by an
Thus long ē ( eta: η ) can be understood as a sequence of two short vowels: ee.
Thus, the sampled function is given by the sequence:
Thus, staining the flies for LacZ expression or activity and cloning the sequence surrounding the integration site can identify the enhancer sequence.

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