Therefore, the energy of the electrons will increase upon compression, so pressure must be exerted on the electron gas to compress it, producing electron degeneracy pressure.

Therefore, under certain conditions, when the orbitals of the unpaired outer valence electrons from adjacent atoms overlap, the distributions of their electric charge in space are further apart when the electrons have parallel spins than when they have opposite spins.

Therefore magnetism is seen whenever electrically charged particles are in motion --- for example, from movement of electrons in an electric current, or in certain cases from the orbital motion of electrons around an atom's nucleus.

Therefore, neutron scattering is very useful for observing the positions of light atoms with few electrons, especially hydrogen, which is essentially invisible in the X-ray diffraction.

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

Therefore in this wire the electrons are flowing at the rate of-0. 00029 m / s, or very nearly-1. 0 m / hour.

Therefore the sample can no longer be considered to be absorbing electrons, via a Beer's law effect, rather the sample can be modelled as an object that does not change the amplitude of the incoming electron wavefunction.

Therefore, when p-type and n-type silicon are put into contact – called a p – n junction – electrons will spontaneously flow from the n-type to the p-type.

Therefore carbocations are often reactive, seeking to fill the octet of valence electrons as well as regain a neutral charge.

Therefore, if electrons are to be used in an application which requires a high activation energy, positive coronas may support a greater reaction constants than corresponding negative coronas ; though the total number of electrons may be lower, the number of a very high energy electrons may be higher.

Therefore, the greater number of electrons of a negative corona leads to an increased production.

Therefore, whilst for many reactions the increased electron density will increase the reaction rate, the lower energy of the electrons will mean that reactions which require a higher electron energy may take place at a lower rate.

Therefore, secondary electrons are emitted from the surface of the isolating material when the electron image reaches the target, and the resulting positive charges are stored directly onto the surface of the isolated material.

Therefore, the macroscopic picture of the current flow through the diode involves electrons flowing through the N-type region toward the junction, holes flowing through the P-type region in the opposite direction toward the junction, and the two species of carriers constantly recombining in the vicinity of the junction.

Therefore not all of the states are occupied by electrons (" filled ") at any time.

Therefore, the length of the barrier that electrons have to pass decreases and electrons can escape from the atom ( molecule ) easily.

Therefore, a carbon atom has four valence electrons.

Therefore when N-doped and P-doped pieces of semiconductor are placed together to form a junction, electrons migrate into the P-side and holes migrate into the N-side.

At large separations, however, the terms describing both electrons located at one atom remain, which corresponds to dissociation to H < sup >+</ sup > + H < sup >−</ sup >, which has a much larger energy than H + H. Therefore, the persisting presence of ionic terms leads to an unphysical solution in this case.

Therefore, the goals of an aerodynamicist have shifted from understanding the behavior of fluid flow to understanding how to engineer a vehicle to interact appropriately with the fluid flow.

Therefore, since sound is in fact an infinitesimal pressure difference propagating through a fluid, the speed of sound in that fluid can be considered the fastest speed that " information " can travel in the flow.

Therefore, earthquakes lower the Earth's available elastic potential energy and raise its temperature, though these changes are negligible compared to the conductive and convective flow of heat out from the Earth's deep interior.

Therefore, we may assume the flow to be an inviscid flow, an approximation in which we neglect viscosity completely, compared to inertial terms.

Therefore, to calculate net forces on bodies ( such as wings ) we should use viscous flow equations.

Therefore, red blood cell mechanics is the major determinant of flow properties of blood.

Therefore, for the same cooling load, a gas refrigeration cycle needs a large mass flow rate and is bulky.

Therefore, these pumps are less suitable where a smooth consistent flow is required.

Therefore many people prefer to refer explicitly to incompressible materials or isochoric flow when being descriptive about the mechanics.

" Therefore a house that cost you money is a liability, and a rental property that produce positive cash flow income is considered to be an asset.

Therefore, facial processing has been studied using measurements of mean cerebral blood flow velocity in the middle cerebral arteries bilaterally.

Therefore, red blood cell mechanics is the major determinant of flow properties of blood.

Therefore, the amount of minority diffusion in the near-neutral zones determines the amount of current that may flow through the diode.

Therefore, no current will flow until the diode breaks down.

Therefore, based on the principles of fluid dynamics, in a tube of cross sectional area, A, and an average fluid velocity, u, the volume flow rate is given by the equation:

Therefore, vWF deficiency or dysfunction ( von Willebrand disease ) leads to a bleeding tendency, which is most apparent in tissues having high blood flow shear in narrow vessels.

Therefore, the reduced flow and altered flow regime is likely to be the primary cause of reduced densities of these taxa in the upper Snowy River rather than the barrier effects of Jindabyne Dam.

Therefore, the latest efforts by emitter manufacturers are focused toward developing new technologies that deliver irrigation water at ultra-low flow rates, i. e. less than 1. 0 liter per hour.

Therefore, it is also argued that the Plantation itself was less important in the distinctiveness of the North East of Ireland than natural population flow between Ulster and Scotland.

Therefore will not we fear, though the earth be removed, and though the mountains be carried into the midst of the sea Come, behold the works of the Lord, what desolations He hath made in the earth.

Therefore as through one man sin entered into the world and through sin death, and thus death has passed unto all men because all have sinned.

" Therefore I should infer from analogy that probably all the organic beings which have ever lived on this earth have descended from some one primordial form, into which life was first breathed.

Therefore it is no great thing if his ministers also transform themselves into ministers of righteousness, whose end will be according to their works.

Therefore, at the design stage either digital components are mapped into the continuous domain and the design is carried out in the continuous domain, or analog components are mapped in to discrete domain and design is carried out there.

Therefore in 340 he marched into Italy at the head of his troops.

Therefore unless we can gain insight into that truth, and understand what is really able to provide lasting happiness, and what is unable to provide happiness, the experience of dissatisfaction will persist.

Therefore, if Alice measures + x, the system ' collapses ' into state Ia, and Bob will get − x.

Therefore unless we can gain insight into that truth, and understand what is really able to give us happiness, and what is unable to provide happiness, the experience of dissatisfaction will persist.

" Therefore, scholars are no longer looking for the identity of a single writer but for numerous authors whose authorship has been absorbed into the gospel's development over a period of time and in several stages.

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 the engine cannot convert all of the input energy into work!

Therefore, proteins that do not fit into the crevice will not undergo hydrolysis.

Therefore, the abundance of < sup > 60 </ sup > Ni present in extraterrestrial material may provide insight into the origin of the solar system and its early history.

Therefore, the pixel grid is divided into single-color regions that contribute to the displayed or sensed color when viewed at a distance.

Therefore, protons will not decay into other particles on their own, because they are the lightest ( and therefore least energetic ) baryon.

It is the business of the pope to look after the interests of the Roman empire, since the empire derives its origin and its final authority from the papacy ; its origin, because it was originally transferred from Greece by and for the sake of the papacy ... its final authority, because the emperor is raised to his position by the pope who blesses him, crowns him and invests him with the empire .... Therefore, since three persons have lately been elected king by different parties, namely the youth son of Henry VI, Philip Hohenstaufen, brother of Henry VI, and Otto Brunswick, of the Welf family, so also three things must be taken into account in regard to each one, namely: the legality, the suitability and the expediency of his election ...... Far be it from us that we should defer to man rather than to God, or that we should fear the countenance of the powerful .... On the foregoing grounds, then, we decide that the youth should not at present be given the empire ; we utterly reject Philip for his manifest unfitness and we order his usurpation to be resisted by all .... since Otto is not only himself devoted to the church, but comes from devout ancestors on both sides ..... therefore we decree that he ought to be accepted and supported as king, and ought to be given the crown of empire, after the rights of the Roman church have been secured.

In this approximately 800-word document about methods of franking letters he states, " Therefore, of Mr Hill ’ s plan of a uniform rate of postage … I conceive that the most simple and economical mode … would be by Slips … in the hope that Mr Hill ’ s plan may soon be carried into operation I would suggest that sheets of Stamped Slips should be prepared … then be rubbed over on the back with a strong solution of gum …".

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.

He then attempted to sell extracted lime juice as a medicine, but the lime juice had no effect in treating scurvy, due to the oxidization of vitamin C. Therefore, this solution was not adopted by the Royal Navy until the 1790s, and the idea that any acid would suffice continued in Britain into the late 19th century.

Therefore, the ministry sponsored cultural workshops throughout the country until October 1988 when the Ministry of Culture was integrated into the Ministry of Education because of financial troubles.

Therefore the handler will normally have to throw into the cup, allowing the defenders to more easily make blocks.

: Therefore, since everything asserted by the inspired authors or sacred writers must be held to be asserted by the Holy Spirit, it follows that the books of Scripture must be acknowledged as teaching solidly, faithfully and without error that truth which God wanted put into sacred writings

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.