Therefore, it seems that the large crests only developed in males when they reached their large, adult size, making the sex of immature specimens difficult to establish from partial remains.

Therefore, this Act can at best be considered a " partial patriation " of the Canadian Constitution.

Therefore, only partial elements of the 470-ship French Navy put to sea on 22 July 1870.

: Therefore, it is equal to the partial pressure in bars ( compared to a standard pressure of 1 bar ).

Therefore, this surgery is often combined with partial fundoplication to reduce the incidence of postoperative acid reflux.

Therefore, each religion can hold an authentic but ultimately inadequate concept of divine reality, producing a partial understanding of the universal truth, which requires syncretism to achieve a complete understanding as well as a path towards salvation or spiritual enlightenment.

Therefore the problem of computing derivatives, antiderivatives, integrals, power series expansions, Fourier series, residues, and linear functional transformations of rational functions can be reduced, via partial fraction decomposition, to making the computation on each single element used in the decomposition.

Therefore any attempt to divide a month into days or a year into days will leave a fractional remainder of a partial day.

Therefore, the actual amount of Americans of at least partial Polish ancestry, could be well over 10 million.

Since f < sup > 0 </ sup >< sub > k </ sub > is a constant it does not contribute to the error on f. Therefore, the propagation of error follows the linear case, above, but replacing the linear coefficients, A < sub > ik </ sub > and A < sub > jk </ sub > by the partial derivatives, and.

Each time g changes in this procedure, it gets strictly smaller relative to the partial lexicographic order on polynomials where h > h ' iff the largest monomial which is in exactly one of h and h ' is in h. Therefore this process will eventually terminate.

Therefore, an explicit specialization ( one where all the template arguments are specified ) will be preferred to a partial specialization if all the template arguments match.

Therefore, those four capable of breeding have been returned to their former range in Kenya where they are held in partial captivity.

Therefore we can generate a great variety of solutions by translating and summing spherical waves.

Therefore a general solution for spherical waves has the form

Therefore, to produce the image which the retina beholds, using projective geometry techniques, it may be convenient to substitute a spherical surface of projection for a plane of projection, i. e., use a " picture sphere " rather than a " picture plane " and place the eye, or " station point ," at the center of the picture sphere.

Therefore each wave takes slightly less time to reach the observer than the previous wave.

Therefore the time between the arrival of successive wave crests at the observer is reduced, causing an increase in the frequency.

Therefore, these equations allow self-sustaining " electromagnetic waves " to travel through empty space ( see electromagnetic wave equation ).

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

Therefore, for the first part of its history, the torpedo was guided only in the sense that its course could be regulated so as to achieve an intended impact depth ( because of the sine wave running path of the Whitehead, this was a hit or miss proposition, even when everything worked correctly ) and, through gyroscopes, a straight course.

Therefore, a strong shock wave forms ahead of the ejecta, that heats the upstream plasma up to temperatures well above millions of K. The shock continuously slows down over time as it sweeps up the ambient medium, but it can expand over hundreds of thousands of years and over tens of parsecs before its speed falls below the local sound speed.

Therefore, the pressure wave produced by a high explosive is not significantly increased by confinement as detonation occurs so quickly that the resulting plasma does not expand much before all the explosive material has reacted.

Therefore an electromagnetic wave consists of two transverse waves, visible light being an example of an electromagnetic wave.

Therefore, s-waves attenuate completely in the outer core, and the only s-waves that appear after a wave exits the outer core do so due to splitting of p-waves into an s-wave component.

Therefore, many of the standard measurements of coherence are indirect measurements, even in fields where the wave can be measured directly.

Therefore the Hartree product does not satisfy the Pauli principle ; that is to say: on the one hand, the interchange of fermions must give rise to negation of the wave function because fermions must have antisymmetric wavefunctions, yet on the other hand, they should still be indistinguishable, meaning the exchange of particles does not change the results of measurements performed on the system.

Therefore, problems in quantum mechanics center around the analysis of the wave function for a system.

Therefore, the wave energy between rays is concentrated as they converge, with a resulting increase in wave height.

Therefore, a " P " wave must be present for every " QRS " complex in a ratio of 1: 1.

Therefore, the velocity of an electromagnetic wave in such a medium is

In both cases a 4-spinor is obtained and for both linearizations the g-factor is found to be equal to 2 ; Therefore, the factor 2 is a consequence of the wave equation dependency on the first ( and not the second ) derivatives with respect to space and time.

Therefore, ship hulls are generally designed to produce as small a bow wave as possible.

In fact the shape resonance occurs where the integral number of wave lengths of the particle sit within the potential of the nucleus of radius R. Therefore the measure of the energies of the shape resonances in the neutron-nucleus scattering have been used in the years from 1947 to 1954 to measure the radii R of the nuclei with the precision of ± 1 x10-13 cm as it can be seen in the chapter " Elastic Cross Sections " of a textbook in Nuclear Physics by R. D.

Therefore reentry heating is largely convective heat transfer between the shock wave and the orbiter's skin through superheated plasma.

Therefore giving the surfer the speed needed to catch the wave successfully.

Therefore volumes from 1mL up to several hundred gallons per minute can be sonicated today in order to achieve all kinds of results from the link that is shown below.

Therefore, the domestic producers gain an amount shown by the area A.

Therefore, gas in the peritoneal cavity, shown on an erect chest X-ray or supine lateral abdominal X-ray, is an omen of perforated peptic ulcer disease.

On June 20, 1653 the Nuremberg town council issued the following order: " Where experience herefore have shown, that after the old heathen use, on John's day in every year, in the country, as well in towns as villages, money and wood have been gathered by young folk, and there upon the so-called sonnenwendt or zimmet fire kindled, and thereat winebibbing, dancing about the said fire, leaping over the same, with burning of sundry herbs and flowers, and setting of brands from the said fire in the fields, and in many other ways all manner of superstitious work carried on --- Therefore the Hon.

In the Sermon on the Mount, Jesus repeatedly spoke of forgiveness, “ Blessed are the merciful, for they will be shown mercy .” Matthew 5: 7 ( NIV ) “ Therefore, if you are offering your gift at the altar and there remember that your brother has something against you, leave your gift there in front of the altar.

Therefore, the students ' self-perceptions became negative after failing to get into college, signs of depression were shown.

Therefore, the graph of the function ƒ ( x − h ) = ( x − h )< sup > 2 </ sup > is a parabola shifted to the right by h whose vertex is at ( h, 0 ), as shown in the top figure.

Now Therefore, We The Government of Rhodesia, in humble submission to Almighty God who controls the destinies of nations, conscious that the people of Rhodesia have always shown unswerving loyalty and devotion to Her Majesty the Queen and earnestly praying that we and the people of Rhodesia will not be hindered in our determination to continue exercising our undoubted right to demonstrate the same loyalty and devotion, and seeking to promote the common good so that the dignity and freedom of all men may be assured, Do, By This Proclamation, adopt, enact and give to the people of Rhodesia the Constitution annexed hereto ;

Therefore, he took out a page that follows the one in which Tintin has shown Haddock all the bugs and hidden cameras in their villa, and Sponsz has told Alvarez how it was he who framed Castafiore.

Therefore volumes from 1mL up to several hundred gallons per minute can be sonicated today in order to achieve all kinds of results from the link that is shown below.

Therefore, a positive correlation between price level and output is shown by the SRAS curve.

Therefore, the more stable radical could react with the neutral species, forming head-to-tail couplings as shown in Figure 6 ( top ).

Therefore, a fair percentage of the film is wasted, because the cropped top and bottom are never meant to be shown.

Therefore, a model of the new boat was shown to Dundas and was named after one of his daughters in an attempt to secure his interest.

Therefore, just because it cannot be shown does not mean that there has been no breach.

Therefore, just because it cannot be shown, or is attempted to be shown but fails, does not mean that there has been no breach.

Therefore, the Hopfield network model is shown to confuse one stored item with that of another upon retrieval.

Therefore certain filmed news stories could be shown on the same day they happened and even live during the broadcast itself.

Therefore, by the authority which Christ conferred upon Peter and his Successors, in communion with the Bishops -- who on various occasions have condemned abortion and who in the aforementioned consultation, albeit dispersed throughout the world, have shown unanimous agreement concerning this doctrine -- I declare that direct abortion, that is, abortion willed as an end or as a means, always constitutes a grave moral disorder, since it is the deliberate killing of an innocent human being.

Therefore, members shown as " Government " or " Opposition " only ran under that slate and had no necessary allegiances or party loyalties to follow.

Therefore, CRY is involved in light perception and is an input to the circadian clock, however it is not the only input for light information as a sustained rhythm has been shown in the absence of the CRY pathway, in which it is believed that the rhodopsin pathway is providing some light input.

Therefore, to show that abortion is morally impermissible, " it is by no means enough to show that the fetus is a person and to remind us that all persons have a right to life — we need to be shown also that killing the fetus violates its right to life, i. e., that abortion is unjust killing.

Therefore if something will not be true, it will never be possible for it to be true, and thus proposition 3 is shown to be false.