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, fractional distillation must be used in order to separate the components by repeated vaporization-condensation cycles within a packed fractionating column.

In fact, the collection of all left cosets ( or right cosets ) of C in G is equal to the collection of all components of G. Therefore, the quotient topology induced by the quotient map from G to G / C is totally disconnected.

Therefore, all frequency components of the signal will experience the same magnitude of fading.

Therefore, even if the computer components responsible for simulating a brain were not significantly smaller than a biological brain, and even if the temperature of these components was not significantly lower, Eliezer Yudkowsky of the Singularity Institute for Artificial Intelligence calculates a theoretical upper bound for the speed of a future artificial neural network.

Therefore, the material displacement gradient components and the spatial displacement gradient components are approximately equal.

Therefore, some restrictions, named compatibility equations, are imposed upon the strain components.

Therefore the components of a tangent vector transform via

Therefore, unless V and W have the same dimension, the array of components need not be square.

Therefore, good designs incorporating slower but otherwise useful technologies usually combine them with faster-acting components, to provide more comprehensive protection.

Therefore, all MOV-based protectors intended for long-term use should have an indicator that the protective components have failed, and this indication must be checked on a regular basis to insure that protection is still functioning.

Therefore, Hsp 70 not only saves important components of the cell ( the proteins ) but also directly saves the cell as a whole.

Therefore, the company can use the least expensive components that satisfy product lifetime projections.

Therefore the records held by courts, executive components, or non-agency government entities are not subject to the provisions in the Privacy Act and there is no right to these records.

Therefore, using proteomic patterns and new hybrid materials, nanobiosensors can also be used to enable components configured into a hybrid semiconductor substrate as part of the circuit assembly.

Therefore, these components can be used in a circuit-protection role similar to fuses, or for feedback in circuits, or for many other purposes.

Therefore, the optical quality of the telescope is ensured by an active optics system performing real-time corrections of the optical components and compensating, in particular, for the deformations of the primary mirror, which is too thin to be completely rigid.

Therefore, the software components and how they integrate the data into one system are very important.

Therefore, they pick out a single object, or even components of an individual object, without being able to see the global " big picture.

Therefore, knowing the stress components and on any particular plane, one can draw a line parallel to that plane through the particular coordinates and on the Mohr circle and find the pole as the intersection of such line with the Mohr circle.

Therefore, a decision was made to separate out the open-source components into its own organisation by creating an Annodex Foundation similar in spirit to the many other foundations that have been created around other FOSS technologies.

Therefore, if B is true, then there is a truth ( viz.

Therefore, if B is not true, then there is a truth ( viz.

Therefore, on one hand a song like " She's Out of My Life " by a non-core artist like Michael Jackson would be heard on some of these stations ; similarly, " Crazy for You " or " Live to Tell " by Madonna.

Therefore, a condition of the sale to Life was that frame 313, showing the fatal shot, would be withheld.

Theatrical Manager Noah Ludlow, who was performing with Booth at the time at the American theatre in New Orleans, recounts the actual events starting on page 230 of his memoir Dramatic Life As I Found It and concludes: " Therefore I consider the story of Mr. Booth having performed Orestes in the French language, on the French stage, altogether a mistake arising from his having acted that character in the French theatre of New Orleans in 1822, but in the English language.

* 1970 – George Wald, Therefore Choose Life

Therefore, Conway's Game of Life is not locally injective, and the Garden of Eden theorem implies that it has a Garden of Eden configuration.

Therefore, he founded the " Life "- Team, life being the English translation of his family name.

Therefore, an additional aspect to the symbolism is to be found in the fact that the geometrical structure of crystallized water is also the basic structure of the Flower of Life.

Therefore, it's necessary to double-check the Consumer Price Index for the applicable amount for the current year.

Therefore, the definition and measurement of poverty in general must extend beyond measurements like per capita GDP, which tools such as the Human Development Index attempt to accomplish.

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 University of Jyväskylä is active in a variety of international programmes, such as the Lifelong Learning Programme, Nordplus, North-South-South Higher Education Exchange, FIRST and ISEP.

Therefore many students in the Campus Universities, particularly in the post war period 1950 to 1970 were the first member of their family ever to go to University and studying new and " exciting " topics, which lent a radical edge to the experience of Higher Education.

Therefore he trained first as a school teacher, sponsored by the Education Department, from 1908 and taught at Port Pirie in 1910 and 1911.

Therefore, after an August 2008 Board of Education meeting, the turf was reopened.

Therefore, it is plain that the clear distinctions of the nineteenth century are no longer with us.

Therefore, the only unknown structural feature would appear to be whether the hydrogen atoms are located symmetrically ( 1 ) or asymmetrically ( 3 ).

Therefore, detergents are used.

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 employment and education in all the schools in a metropolitan area are related in different ways from those which are characteristic of the comprehensive high school described in my first report.

Therefore, the only conceivable alternatives are those represented, on the one hand, by the two at least apparently self-consistent but mutually exclusive positions of Buri and Barth and, on the other hand, by the third but really pseudo position ( analogous to a round square ) of Bultmann.

Therefore, neither merit the beatific vision, nor yet are subjected to any punishment, because they are not guilty of any personal sin although they have not received baptism, so still bear original sin.

Therefore, by the " elsewhere " convention, the oral allophones are considered basic ; nasal vowels in English are considered to be allophones of oral phonemes.

Therefore rings and Z-algebras are equivalent concepts, in the same way that abelian groups and Z-modules are equivalent.

Therefore, they are considered two forms of antibodies: soluble form or membrane-bound form ( Parham 21-22 ).

Therefore the interpretation of what kinds of sexual activity are acceptable for a layman is not a religious matter as far as Buddhism is concerned.

J. B. Curtis in his 1979 paper " On Job's Response to Yahweh ", argues that Job's final responses to Yahweh are a total rejection of Yahweh rather than an expression of repentance, and translates Job 42: 6 as " Therefore I feel loathing contempt and revulsion ( toward you, O God ); and I am sorry for frail man.

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, local changes in concentration ( e. g. Creaming and Sedimentation ) and global changes in size ( e. g. flocculation, coalescence ) are detected and monitored.

Therefore, while the basic features of this epoch have been worked out in the Big Bang theory, the details are largely based on educated guesses.

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, the stresses considered in continuum mechanics are only those produced by deformation of the body, sc.

Therefore, strictly speaking, root vegetables ( such as potatoes, carrots or onion ) are not to be used as this will result in death of vegetables.