Therefore, the field autocorrelation ( d ) is shorter than ( c ), because the spectrum is the Fourier transform of the field autocorrelation ( Wiener-Khinchin theorem ).

Therefore a temporary location is needed to preserve the return address of the caller of this function.

Therefore, a country's ability to learn from the leader is a function of its stock of " human capital ".

Therefore every function on such a set is a net.

Therefore OD mutations have a dominant negative effect on the function of p53.

Therefore, display was probably the main function of the crest, and any other functions were secondary.

Therefore, its quantum state can be represented as a wave of arbitrary shape and extending over space as a wave function.

Therefore, ftp. wikipedia. org might be an FTP server, www. wikipedia. org would be a World Wide Web server, and mail. wikipedia. org could be an email server, each intended to perform only the implied function.

Therefore, if a program makes several calls to the same function with the same arguments, the compiler can immediately infer that the function's result need be computed only once.

On a logarithmic scale, the function x < sup > n </ sup > translates into a straight line with slope of n. Therefore, the linearly amplified signal will exhibit a slope of 1.

Therefore, Japan ceased to function as the lynchpin of the intra-Asiatic trade of the VOC by 1685.

Therefore, cryptographers study models which explicitly allow for the use of a random function or a related object.

Therefore, many insulating materials function simply by having a large number of gas-filled pockets which prevent large-scale convection.

Therefore, by dimensional analysis, the only possible form for the energy spectrum function according with the third Kolmogorov's hypothesis is

Therefore, the traditional concept that the treatment of delirium is ' treat the cause ' is not adequate ; patients with delirium actually require a highly detailed and expert analysis of all the factors which might be disrupting brain function.

Therefore, the objective function attains the global maximum ( subject to the constraints ) at and the global minimum at The point is a local minimum and is a local maximum, as may be determined by consideration of the Hessian matrix of.

Therefore, we can define the error function in terms of the incomplete Gamma function:

Therefore, when λ is very small, the solution approaches that of the unscreened Poisson equation, which, in dimension, is a superposition of 1 / r functions weighted by the source function f:

Therefore the Council was also a means of allowing them to use their titles, but only as honorifics and without any political function.

Therefore, in cases of pneumothorax, the other lung will still function normally unless there is a tension pneumothorax or simultaneous bilateral pneumothorax, which may collapse the contralateral parenchyma, blood vessels and bronchi.

Therefore, cristae are a necessity for the mitochondria to function efficiently.

Therefore it is expected that the theory involves some sort of boundary conditions, involving information on the function further out.

Therefore, impaired liver function is unlikely to result in lorazepam accumulation to an extent causing adverse reactions.

Therefore, c divides the initial remainder r < sub > 0 </ sub >, since r < sub > 0 </ sub > = a − q < sub > 0 </ sub > b = mc − q < sub > 0 </ sub > nc = ( m − q < sub > 0 </ sub > n ) c. An analogous argument shows that c also divides the subsequent remainders r < sub > 1 </ sub >, r < sub > 2 </ sub >, etc.

Therefore, these numerical values ( such as 299, 792, 458 for the constant speed of light c expressed in units of meters per second ) are not values that a theory of physics can be expected to predict.

Therefore, a < sup > 2 </ sup > + b < sup > 2 </ sup > < a < sup > 2 </ sup > + 2ab + b < sup > 2 </ sup > ≤ c < sup > 2 </ sup >.

Therefore, just as bradyons are forbidden to break the light-speed barrier, so too are tachyons forbidden from slowing down to below c, because infinite energy is required to reach the barrier from either above or below.

Therefore the normal mode of operation when invoking < tt > umssync </ tt > after switching from Windows to Linux ( which is usually done by running the tool at Linux boot time from a startup script ) is to employ the < tt >- c </ tt > option to the command, which prevents the creation of any new < tt >-- LINUX -.---</ tt > files in directories that do not already possess them.

Therefore, Article 6 of the Charter was drafted to include not only traditional war crimes and crimes against peace, but in paragraph 6. c, Crimes Against Humanity defined as

Assuming that the cost of traversing any network segment is 1, the least cost path from bridge 4 to the root bridge goes through network segment c. Therefore, the root port for bridge 4 is the one on network segment c.

* Therefore there exists c in C with h ( c )

Therefore, for any c in C, exists k in ker t such that c

1122, which is greater than c. Therefore c is not greater than d < sup >( 1 + ε )</ sup > for any ε and a, b, c is not such a triple.

Therefore γ is null-homotopic in C, so that the kernel of p < sub >#</ sub >: π < sub > 1 </ sub >( C, c ) → π < sub > 1 </ sub >( X, x ) is trivial and thus p < sub >#</ sub >: π < sub > 1 </ sub >( C, c ) → π < sub > 1 </ sub >( X, x ) is an injective homomorphism.

Therefore π < sub > 1 </ sub >( C, c ) is isomorphic to the subgroup p < sub >#</ sub > ( π < sub > 1 </ sub >( C, c )) of π < sub > 1 </ sub >( X, x ).

Therefore, the successful rhinoplastic outcome depends entirely upon the respective maintenance or restoration of the anatomic integrity of the nasal skeleton, which comprises ( a ) the nasal bones and the ascending processes of the maxilla in the upper third ; ( b ) the paired upper-lateral cartilages in the middle third ; and ( c ) the lower-lateral, alar cartilages in the lower third.

Additionally, calcium is also linked to apoptosis by causing the release of cytochrome c. Therefore, mutations in the RETGC-1 can cause COD by increasing intracellular calcium levels and stimulating cone photoreceptor death.

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, the greatest common divisor g must divide r < sub > N − 1 </ sub >, which implies that g ≤ r < sub > N − 1 </ sub >.

Therefore, the relative position vector remains bounded, having its smallest magnitude at periapsis r < sub > p </ sub > which is given by:

Therefore r ( x ) has n + 1 roots.

For every change of 1 magnitude in the limiting magnitude of the observer, the number of meteors observed changes by a factor of r. Therefore we must take this into account.

Furthermore, replacing the unit circle by the unit square, the error term for the general problem can be as large as a linear function of r. Therefore getting an error bound of the form

Therefore, the displacement vector r and its velocity v are always in the plane perpendicular to the constant vector L.

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 d and r are the sides of a right angled triangle with hypotenuse R and the area is given by:

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.

omits text Εἰπέ οὖν ἡμῖν ( Therefore, tell us ) with it < sup > a, b, d, e, ff < sup > 1 </ sup >, ff < sup > 2 </ sup >, q, r < sup > 1 </ sup ></ sup > syr < sup > s </ sup > co < sup > bo < sup > ms </ sup ></ sup > Codex Schøyen

Therefore, increases in r must decrease the duration ( or, in the case of zero-coupon bonds, leave the unmodified duration constant ).

Therefore the coefficients of all the terms except r < sup > p </ sup > and s < sup > p </ sup > are divisible by p, the characteristic, and hence they vanish.

Therefore, the change in φ over one oscillation of u ( or, equivalently, one oscillation of r ) equals

Therefore if then there is no lifting of r to a root of f ( x ) mod p < sup > k + 1 </ sup >, while if then every lifting of r to modulus p < sup > k + 1 </ sup > is a root of f ( x ) mod p < sup > k + 1 </ sup >.

Therefore, s ≤ r and if equality holds then s