Therefore the formula fails in this case.

Therefore φ follows from this formula.

Therefore, using Euler's formula to expand

Therefore, if given a delay value in microseconds, it must first be divided by 10 before using it in the weighted formula.

Therefore, Coca-Cola's original formula did include Cocaine.

Therefore, the USCF and some chess sites use a formula based on the logistic distribution.

Therefore, it has the formula RCO -, where R represents an alkyl group that is attached to the CO group with a single bond.

Therefore to estimate the distance to an object that is a known height the formula is:

Therefore, we get Stirling's formula:

Therefore, Stirling's formula is at its best in the region where it is less needed.

Therefore, the precise formula is: MC

Therefore, the current formula for VORP is:

Therefore we find a " corrected " formula

Therefore, the truth assignment constructed by this procedure satisfies the given formula, which also completes the proof of correctness of the necessary and sufficient condition identified by Aspvall et al.

Often it is very difficult to determine the exact buckling load in complex structures using the Euler formula, due to the difficulty in deciding the constant K. Therefore, maximum buckling load often is approximated using energy conservation.

Therefore, as the formula states, any subdivision of the torus into regions can be colored using at most seven colors.

Therefore, when assuming that the universe has four dimensions that are related by Minkowski's formula, the speed of light appears as a constant, and does not need to be assumed ( postulated ) to be constant as in Einstein's original approach to special relativity.

Therefore, a test of whether two pairs of points and define skew lines is to apply the formula for the volume of a tetrahedron,, and testing whether the result is nonzero.

Therefore, a new readability formula was computed that has for its predictors letters per 100 words and sentences per 100 words.

Therefore the pantheist formula " One and All " would apply to Spinoza only if the " One " preserves its transcendence and the " All " were not interpreted as the totality of finite things.

Therefore, minimization is done on predicates in the first-order logic version of circumscription: the circumscription of a formula is obtained forcing predicates to be false whenever possible.

Therefore, the formula for a players score for a single level is given by, where x is the total area filled ( in percentage ), y is the current level and z is the number of lives remaining.

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

Therefore, it is not only a question of honor but of life and death for the Soviet state ''.

Therefore, his only recourse was to learn the shape all over again for each new visual experience of the same individual object or type of object ; ;

Therefore, it is recommended that in such cases the sample be replaced, or if used, the results of dimensional change or dimensional restorability tests be considered as indicative only.

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, only a small proportion of trial court decisions result in appeals.

Therefore there were only lifts on every second floor so people had to communicate with one another on different floors.

Therefore only the one who was in the temple can be worshipped.

Therefore, only king-like bodhicitta is actual bodhicitta.

Therefore, a liquid will normally catch fire only above a certain temperature: its flash point.

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

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, 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, the only motivation for labour was either the possibility of great reward or fear of hunger.

Therefore, compound crossbows generally use only pulleys that are both round and concentrically mounted, in order to capture the maximum available energy from the relatively short draw length.

Therefore the Knights could only wage a defensive war if pagans violated natural rights of the Christians.

Therefore the change is not as large as might appear, and the only plants to have moved across the borders of the order are those belonging to family Nartheciaceae.

Therefore, the set of all equivalence classes of forms a partition of: every element of belongs to one and only one equivalence class.

Therefore an ordination ceremony that concerns only the individual himself does not, they say, correspond to the definition of an ordination and is without effect.

Therefore it only discusses planets that orbit stars or brown dwarfs.

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 enthalpy can only accurately be used in a closed system.

Therefore, it is difficult to conclude that forgetting is a result of only the time duration.

Therefore, search requests would often be dropped, and most queries reached only a very small part of the network.