Therefore, the study of heterocyclic chemistry focuses especially on unsaturated derivatives, and the preponderance of work and applications involves unstrained 5-and 6-membered rings.

Therefore, stress induced in one's arms is reduced meaning less muscle is needed in this event than events like still rings or parallel bars.

Therefore, in order to transmit light through a double ring resonator system, we will need to satisfy the resonant condition for both rings as follows:

Therefore all current inner moons and rings can be products of disruption of several Puck-sized satellites during the last four and half billion years.

Therefore, for noncommutative Noetherian rings, these two versions coincide and one is justified in talking about the global dimension.

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, 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.

Therefore, the metric equivalent of 1 siliqua was approximately 189 mg.

Therefore, class-D amplifiers are typically smaller than an equivalent class-AB amplifier.

Therefore, output and income are usually considered equivalent and the two terms are often used interchangeably.

Therefore May in the Southern Hemisphere is the seasonal equivalent of November in the Northern Hemisphere and vice versa.

Therefore November in the Southern Hemisphere is the seasonal equivalent of May in the Northern Hemisphere and vice versa.

) Therefore, the 5 XT slots of the original Tandy 1000, 1000 TX, 1000 SX, and similar models remained available for other hardware, making them equivalent or better than the 8 slots in IBM's XT and AT models ( which had 8 slots because the original PC's 5 proved inadequate.

Therefore, the decimal odds of an outcome are equivalent to the decimal value of the fractional odds plus one.

Therefore, if Y is an unprovable statement in a formal system, there is no statement X in that system such that X is equivalent to the implication ( X → Y ).

Therefore, charging customs duty on an import is not a violation of national treatment even if locally-produced products are not charged an equivalent tax.

Therefore, several of these great magnates began styling themselves " Count Palatine ", signifying great counts ruling regions equivalent to duchies, such as the Counts Palatine of Champagne in the 1200s.

Therefore, the value of the monetary pound sterling was equivalent to only 3. 87 troy ounces of sterling silver.

Therefore, the election of members of a certain party to Parliament is the equivalent to a vote for that party's leader for Prime Minister.

Therefore this phase difference can be observed by placing a solenoid between the slits of a double-slit experiment ( or equivalent ).

Therefore, it is possible to convert all existing MMX code to an SSE2 equivalent.

Therefore, the statement that every square matrix A can be put in Jordan normal form is equivalent to the claim that there exists a basis consisting only of eigenvectors and generalized eigenvectors of A.

Therefore, German bombers were smaller than their British equivalents, and Germany never developed a fully successful four engined heavy bomber equivalent to the Lancaster or B-17, with only the similarly sized Heinkel He 177 placed into production and made operational for such duties with the Luftwaffe in the later war years.

Therefore, the election of members of a certain party to parliament is the equivalent to a vote for that party's leader for Prime Minister.

Therefore the total normalised delay of an inverter driving an equivalent inverter is

Therefore, the Scottish equivalent to the English baron is the Lord of Parliament.

Therefore, proportional positive vectors are equivalent when considered as compositions.

Therefore in digital signal processing applications IIR filters use fewer computing resources than an equivalent FIR filter.

Therefore, the unit metre per second squared is equivalent to newton per kilogram, N · kg < sup >− 1 </ sup >, or N / kg.

Equivalently, is conjugate to in if and only if and satisfy the Cauchy – Riemann equations in As an immediate consequence of the latter equivalent definition, if is any harmonic function on the function is conjugate to, for then the Cauchy – Riemann equations are just and the symmetry of the mixed second order derivatives, Therefore an harmonic function admits a conjugated harmonic function if and only if the holomorphic function has a primitive in in which case a conjugate of is, of course, So any harmonic function always admits a conjugate function whenever its domain is simply connected, and in any case it admits a conjugate locally at any point of its domain.