Therefore, because the breasts are especially sensitive to developmental interference ( genetic and environmental ), breast symmetry indicates a woman of good health and thus of good breeding stock, who shall successfully bear more ( surviving ) children than will a woman with asymmetrical breasts.

Therefore, the often-perceived symmetry between Mahāyāna and Hīnayāna can be deceptive, as the terms were not actually coined in relation to one another in the same era.

Therefore, it will have to be constant in the external reference frame, but the moment of inertia tensor ( I ) is non-constant in this frame because of the lack of symmetry.

Therefore, aperiodic or quasiperiodic structures can be divided into two main classes: those with crystallographic point-group symmetry, to which the incommensurately modulated structures and composite structures belong, and those with non-crystallographic point-group symmetry, to which quasicrystal structures belong.

Therefore, to obtain a full set of Fourier transform data, it is necessary to rotate the crystal through slightly more than 180 °, or sometimes less if sufficient symmetry is present.

Therefore the symmetry group of a Euclidean space is the Euclidean group and for a Minkowski space it is the Poincaré group.

Therefore the Lorentz group is said to express the fundamental symmetry of many of the known fundamental Laws of Nature.

Therefore, in a way, this frieze group contains the " largest " symmetry groups, which consist of all such transformations.

Therefore mirror symmetry allows one to find the full nonperturbative solutions to the theory.

Therefore, Cs < sub > 2 </ sub > C < sub > 2 </ sub > O < sub > 4 </ sub > is more closely approximated by a D < sub > 2d </ sub > symmetry structure because the two CO < sub > 2 </ sub > planes are staggered.

Therefore, the SO ( 3 ), SO ( 4 ) and SO ( 3, 1 ) groups cited above are not the full symmetry groups of their orbits ; the full groups are O ( 3 ), O ( 4 ) and O ( 3, 1 ), respectively.

Equivalently, is conjugate to in if and only if and satisfy the Cauchy – Riemann equations in As an immediate consequence of the latter equivalent definition, if is any harmonic function on the function is conjugate to, for then the Cauchy – Riemann equations are just and the symmetry of the mixed second order derivatives, Therefore an harmonic function admits a conjugated harmonic function if and only if the holomorphic function has a primitive in in which case a conjugate of is, of course, So any harmonic function always admits a conjugate function whenever its domain is simply connected, and in any case it admits a conjugate locally at any point of its domain.

Therefore the symmetry condition can be written in matrix form as

Therefore the global Poincaré symmetry, consisting of translational symmetry, rotational symmetry and the inertial reference frame invariance central to the theory of special relativity must apply.

Therefore the symmetry group is Z.

Therefore, this group is generally now either included in the Brassicaceae or as its own family, Cleomaceae.

Therefore Latinos are Americans who are descendants of the Latin group ( namely Spain, France, Italy and Portugal ) and Hispanic refers to the descendants from the Iberian Peninsula ( also known as Ibero-American ).

Therefore, negative values of the group velocity will occur in these areas.

Therefore, one may alternatively define a group action of G on X as a group homomorphism from G into the symmetric group Sym ( X ) of all bijections from X to X.

Therefore, in addition to its strictly communicative uses, language also has many social and cultural uses, such as signifying group identity, social stratification, as well as for social grooming and entertainment.

Therefore the topology on a topologically finitely-generated profinite group is uniquely determined by its algebraic structure.

Therefore, f induces a group homomorphism from the ( multiplicative ) group of units of R to the ( multiplicative ) group of units of S.

Therefore in 1863, the tribes from the area surrounding the middle Sacramento and Feather rivers, the Konkow group, were removed and marched forcibly to the Round Valley Indian Reservation near the Eel River.

Therefore its fundamental group H is free.

Therefore, in general Euclidean spaces every similarity is an affine transformation, because the Euclidean group E ( n ) is a subgroup of the affine group.

Therefore these arguments held that a group of people can join a government because it has the capacity to exercise a single will and make decisions with a single voice in the absence of sovereign authority — a notion rejected by Hobbes and later contract theorists.

Therefore group theoretic arguments underlie large parts of the theory of those entities.

) Therefore a subgroup of a group G is a subset S of G such that:

Therefore, according to its meaning in common usage in English, any given people, ethnic group or community may be described as being indigenous in reference to some particular region or location.

Therefore every finite simple group has even order unless it is cyclic of prime order.

Therefore, this group of compounds causes electrons to accumulate on chlorophyll molecules.

Therefore, in the context of Meyerhoff ’ s research, " eh " can be equated as a device to establish and maintain a group identity.

Therefore the existence and number of inner automorphisms that are not the identity mapping is a kind of measure of the failure of the commutative law in the group.

Therefore, it has the formula RCO -, where R represents an alkyl group that is attached to the CO group with a single bond.

Therefore, it has a rotational kinetic energy of 2. 138 × 10 < sup > 29 </ sup > J.

Therefore, highly-resolved vibrational spectra will contain fine structure corresponding to the rotational transitions that occur at the same time as a vibrational transition.

Therefore, the line spacing for the rotational mode changes to,

Therefore, each wheel can apply as much rotational force as the traction under it will allow, and the torques on each side-shaft will be unequal.

Therefore, the rotational rate in degrees per second per second is

Therefore, both the normal to the orbital plane and the Moon's rotational axis precess around the Ecliptic pole with the same period.

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, the congruence of its secants, that is the image of a general plane field of lines, is of order Af and class Af.

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.