Therefore the formula fails in this case.

Therefore this formula only applies when is at least as large as.

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, 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.

For example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N / ln N. Therefore the proportion of prime integers is roughly 1 / ln N, which tends to 0.

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, he stands third in the line of succession to the thrones of sixteen independent sovereign states known as the Commonwealth realms, and to the governorship of the Church of England, preceded by his father and elder brother, Prince William, Duke of Cambridge.

states Isaac's blessing: " Therefore God give thee of the dew of heavens, and the fatness of the earth, and plenty of corn and wine: Let people serve thee: be lord over thy brethren, and let thy mother's sons bow down to thee: cursed be every one that curseth thee, and blessed be he that blesseth thee.

Therefore, the borders between those states are open.

Therefore, Weber states that it was this difference in social attitudes and mentality, shaped by the respective, dominant religions, that contributed to the development of capitalism in the West and the absence of it in China.

Therefore, when the numbers of atoms in the ground and excited states are equal, the rate of stimulated emission is equal to the rate of absorption for a given radiation density.

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, it is helpful to use different words to describe states having uncertain values and states having definite values ( eigenstates ).

Therefore, Gauss and Weber chose to encode the alphabet in a binary code, using positive current and negative as the two states.

Kleiber ’ s law states that the metabolic rate ( q < sub > 0 </ sub >) of an animal is the mass of the animal ( M ) raise to the 3 / 4 power: q < sub > 0 </ sub >= M < sup > 3 / 4 </ sup > Therefore, the mass of the animal increases at a faster rate than the metabolic rate. There are many types of feeding strategies employed by herbivores.

Therefore, it is not surprising that many different proposals have been made and continue to be made, including an Arab state, with or without a significant Jewish population, a Jewish state, with or without a significant Arab population, a single bi-national state, with or without some degree of cantonization, two states, one bi-national and one Arab, with or without some form of federation, and two states, one Jewish and one Arab, with or without some form of federation.

Therefore, unpolarized light cannot be described by any pure state, but can be described as a statistical ensemble of pure states in at least two ways ( the ensemble of half left and half right circularly polarized, or the ensemble of half vertically and half horizontally linearly polarized ).

Therefore, there were two kinds of boyars: those whose ancestors, as chiefs of the ancient rural communities, had held land before the formation of the feudal states, such that the prince merely confirmed their preexisting status as landowners ; and those who acquired their domain from a princely donation or who had inherited it from an ancestor who acquired it through such a donation ( cf.

* United States of America – Our Lady of the Immaculate Conception unofficial due to the Establishment Clause of the First Amendment to the Constitution of the United States which states, " Congress ( Therefore the U. S. Government ) shall make no law respecting an establishment of religion ,..."

Therefore the space is recommended in the SI / ISO 31-0 standard, and the International Bureau of Weights and Measures states that " for numbers with many digits the digits may be divided into groups of three by a thin space, in order to facilitate reading.

Therefore the sequence of tokens generated by an HMM gives some information about the sequence of states.

Therefore, it is the only city in the United States that borders two other states on two sides, and its own state on the other two sides.

Therefore, individual states are limited in their ability to legislate on such matters.

Therefore, states remain free to structure their constitutions to permit bills of attainder.

Therefore, international politics is a struggle for power between self-interested states.

Therefore, the special sciences presuppose the existence of minds which can have these states.

Therefore, most galleons were originally consigned for trade, although those captured by rival states were usually put into military service.