Therefore as analog signal processing systems become more complex, they may ultimately degrade signal resolution to such an extent that their performance is surpassed by digital systems.

Therefore, differences with Dutch often lie in a more regular morphology, grammar, and spelling of Afrikaans.

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, as clock rate increases, so does heat dissipation, causing the CPU to require more effective cooling solutions.

Therefore, four loose families of more-efficient light transport modelling techniques have emerged: rasterization, including scanline rendering, geometrically projects objects in the scene to an image plane, without advanced optical effects ; ray casting considers the scene as observed from a specific point-of-view, calculating the observed image based only on geometry and very basic optical laws of reflection intensity, and perhaps using Monte Carlo techniques to reduce artifacts ; and ray tracing is similar to ray casting, but employs more advanced optical simulation, and usually uses Monte Carlo techniques to obtain more realistic results at a speed that is often orders of magnitude slower.

Therefore, in this variant even more than in the standard version, it is sometimes strategically important to keep one's pieces bunched in order to prevent a long opposing hop.

Therefore, The Cottagers have had 12 grounds overall ( including a temporary stay at Loftus Road ), meaning that only their former ' landlords ' and rivals QPR have had more home grounds ( 14 ) in British football.

Therefore, more robust means of estimating the central value x < sub > 0 </ sub > and the scaling parameter γ are needed.

Therefore I propose to the comrades that they devise a way of shifting Stalin from this position and appointing to it another man who in all other respects falls on the other side of the scale from Comrade Stalin, namely, more tolerant, more loyal, more polite and considerate of comrades, less capricious and so forth.

Therefore, virginity is as much more honorable than marriage, as the angel is higher than man.

Therefore, although not all languages have been investigated on this point, phoneticians have recently come to use the term lingual ( made with the tongue ) as being more accurate for this airstream mechanism than velaric ( made at the velum ).

Therefore the English-speaker's seems more similar to the desired Chinese than the alternative.

Therefore, some argue that Dao is in that sense more " accurate " than Tao.

Therefore, most Spiritual Deists are more comfortable contemplating the universe as a mystery than they are in filling it with belief systems such as eternal reward, reincarnation, karma, etc.

Therefore, it is reasonable to believe that if we set out to be ' our brother's keeper ,' we would often bungle the job and end up doing more mischief than good.

Therefore, a number of more accurate equations of state have been developed for gases and liquids.

Therefore in the past often more or less normal nonlinear amplifiers or just single diodes have been used as mixers, instead of a more complex multiplier.

Therefore a more conventional but significantly more aerodynamic body was designed for the subsequent development of the J-car which was officially known as the GT40 Mk IV.

Therefore, existing racist graffiti is mostly more subtle and at first sight not easily recognized as " racist ".

Therefore, it was more profitable for Attila to conclude peace and retreat back to his homeland.

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.

Therefore no complete system, i. e. including the electromagnetic modes, can have negative temperatures, since there is no highest energy state, so that the sum of the probabilities of the states would diverge for negative temperatures.

" Therefore, it is imperative for persons to act in accordance with their nature and develop their latent talents in order to be content and complete.

Therefore, the idea was born that only the elite should know the truth in its complete form and the rulers, Plato said, must tell the people of the city " The Noble Lie " to keep them passive and content, without the risk of upheaval and unrest.

Therefore the probability of producing a Set from 3 randomly drawn cards from a complete deck is 1 / 79.

Therefore, like his father and his brothers, Grace chose a professional career in medicine, though because of his cricketing commitments he did not complete his qualification as a doctor until 1879 when he was 31 years old.

Therefore, even new systems usually contain one or more batch applications for updating information at the end of the day, generating reports, printing documents, and other non-interactive tasks that must complete reliably within certain business deadlines.

Therefore in one complete charge / discharge cycle, a total of Q = C < sub > L </ sub > V < sub > DD </ sub > is thus transferred from V < sub > DD </ sub > to ground.

Therefore, in order for aspects of larger fictional universes to adhere to certain conditions of the overall continuity and even believability of the WNU ( whose root conceit has always been that characters the world knows as fictional actually lived, or are yet living, and that their adventures are based on true events embroidered by the genre authors who serve as their " biographers "), certain accounts of the characters ' lives that overly strain suspension of disbelief are often labeled as " distortion " of actual events, or dismissed as complete fabrication.

Therefore, they were compelled to complete this tribute to science.

Therefore the resulting civil war and eventual 2002 Timorese vote for complete separation are better described as an independence movement.

Therefore, previous concept testing methods have failed to provide market researchers with the complete information necessary for them to create products specifically tailored to satisfy a consumer group balance of purchase criteria.

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, claiming an earlier date for the silver hoards is untenable and contradicts the first complete recording of the Qumran silver hoards made in 2007 by Lönnqvist, which includes the first photographic evidence of the coin hoards, and the regional coin evidence from other hoards.

Therefore, the track was originally designed to be a high-banked superspeedway, but there was not enough money to complete the project and thus only one of the bankings was ever designed.

Therefore, the complete privatization of land and residencies, as well as of all small and medium state enterprises, was accomplished over the period ’ 92 -’ 96 ; prices and exchange rates were fully liberalized, and Albania changed from a country of a three figure inflation rate and economic growth regression of − 20 % into a country with a one-figure inflation rate and with an average economic growth rate of 9 % in ’ 92 and, in ’ 93 – ’ 96, 75 % of GDP was generated from the private sector.

Therefore we can either abandon the principle of locality ( which most physicists are reluctant to do ) or we are forced to accept that the electromagnetic 4-potential-composed of Φ and A-offers a more complete description of electromagnetism than the electric and magnetic fields can.

Therefore, the topological structure of a complete non-positively curved manifold is determined by its fundamental group.

Therefore, when the completeness axiom is added, it can be proved that any two models must be isomorphic, and so in this sense, there is only one complete ordered Archimedean field.

Therefore, the first Persian invasion of Greece effectively began in the following year, 492 BC, when Mardonius was dispatched ( via Ionia ) to complete the pacification of the land approaches to Greece and push on to Athens and Eretria if possible.

Therefore, to complete the system of equations and obtain 6 equations and 6 variables:

Therefore, all their original religious beliefs and traditions were likely passed down orally over the generations, and basically forgotten over the centuries following their rapid conversion into Christianity ( which began with conversion of Bulgaria in 864 and was largely complete by the late 11th century.

Therefore, the planar graphs have a forbidden minor characterization, which in this case is given by Wagner's theorem: the set H of minor-minimal nonplanar graphs contains exactly two graphs, the complete graph K < sub > 5 </ sub > and the complete bipartite graph K < sub > 3, 3 </ sub >, and the planar graphs are exactly the graphs that do not have a minor in the set