Therefore, given any positive integer n, it produces a string with Kolmogorov complexity at least as great as n. The program itself has a fixed length U. The input to the program GenerateComplexString is an integer n. Here, the size of n is measured by the number of bits required to represent n, which is log < sub > 2 </ sub >( n ).

Therefore it is no great thing if his ministers also transform themselves into ministers of righteousness, whose end will be according to their works.

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

Therefore the cardinal commissioned Sebastiano del Piombo who was great Venetian colourist and a friend of Michelangelo to paint “ The Raising of Lazarus ”.

Therefore, a great deal of the record of human activity throughout the Ice Age is now to be found under water.

Therefore, Bangladeshi society is to a great extent linguistically and culturally homogeneous, with very small populations of foreign expatriates and workers, although there is a substantial number of Bengali workers living abroad.

Therefore Osnabrück hoped for a great relief becoming neutralised and demilitarised.

Therefore the marriage came as a great surprise to the world-wide Bahá ' í community when the mother of Shoghi Effendi cabled the Bahá ' ís:

Therefore, the United States and the Soviet Union went to great lengths to establish connections in these countries by offering economic and military support in order to gain strategically located alliances ( e. g. United States in Vietnam or Soviet Union in Cuba ).

Therefore we can generate a great variety of solutions by translating and summing spherical waves.

Therefore, O Arjuna, best of the Bharatas, in the very beginning curb this great symbol of sin —( lust ) by regulating the senses, and slay this destroyer of knowledge and self-realization.

'" Returning toward Antioch, the troops of Antiochus sacked Jerusalem and removed the sacred objects from the Jerusalem Temple, slaughtering an unknown, but large, number of Jews :" And after that Antiochus had smitten Egypt, he returned again in the hundred forty and third year, and went up against Israel and Jerusalem with a great multitude, And entered proudly into the sanctuary, and took away the golden altar, and the candlestick of light, and all the vessels thereof ... And when he had taken all away, he went into his own land, having made a great massacre, and spoken very proudly. Therefore there was a great mourning in Israel, in every place where they were.

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, Mulde probably means " the milling river " and corresponds to the great number of water mills driven by the river in former times.

Therefore, in his twenty-ninth year, Atiśa was formally declared a monk under an ordination of the great Śīlarakṣita, and given the new name of Dīpaṃkara Śrījñāna, meaning " He Whose Deep Awareness Acts as a Lamp.

Therefore, this caused a great deal of controversy.

Therefore, the BGB had a great deal of influence on later codification projects in countries as diverse as Japan, Greece, Turkey, Portugal ( 1966 Civil Code ) and Macau ( 1999 Civil Code ).

Therefore, in Chabad, the Baal Shem Tov and Schneur Zalman, who share the same birthday, are called the " two great luminaries " ( after Genesis 1: 16, according to the Midrashic account, before the moon was diminished ), representing heart and mind.

Therefore, it has been argued that the great nomarch families were never subdued, but were simply absorbed into the Pharaonic administration of the country.

Therefore, a breach of human rights has become a source of great concern to most liberal Muslims.

Therefore, newer glycerite products are showing great promise and even rivaling alcoholic tinctures in many ways.

Therefore, for any value of T the number of values of f{t} is equal to the ( finite ) number of tangent points corresponding to the argument T plus an odd number.

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, after combining like terms, the coefficient of x < sup > n − 2 </ sup > y < sup > 2 </ sup > will be equal to the number of ways to choose exactly 2 elements from an n-element set.

Therefore, one argues that the most likely number of non-compact ( large ) spatial dimensions is three.

Therefore, native Caymanians do not have any Amerindian heritage from their own islands ; however, a significant number of Jamaicans have settled in the Cayman Islands over the years, so they and their descendants may have some Amerindian blood via Jamaica.

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

Therefore, the change in enthalpy can be devised or represented without the need for compressive or expansive mechanics ; for a simple system, with a constant number of particles, the difference in enthalpy is the maximum amount of thermal energy derivable from a thermodynamic process in which the pressure is held constant.

Therefore, to reduce the number of chips required, it included features such as clock generator, interrupt controller, timers, wait state generator, DMA channels, and external chip select lines.

Therefore, the overall performance of existing systems could be improved more by reducing the number of luminaires than by switching to full cutoff designs.

The other triose, the aldose H ( C = O )( CHOH )< sub > 2 </ sub > H ( glyceraldehyde ), has one chiral carbon — the central one, number 2 — which is bonded to groups-H ,-OH ,-C ( OH ) H < sub > 2 </ sub >, and -( C = O ) H. Therefore, it exists as two stereoisomers whose molecules are mirror images of each other ( like a left and a right glove ).

Therefore the number 11 is a prime.

Therefore, the condition of being a prime can also be restated as: a number is prime if it is greater than one and if none of

Therefore, the same point can be expressed with an infinite number of different polar coordinates or, where n is any integer.

Therefore, because there are an infinite number of points Achilles must reach where the tortoise has already been, he can never overtake the tortoise.

Therefore, if you exclude the " T " piece, the maximum number of corners that can be filled by the remaining six pieces is seven ( one corner each for five pieces, plus two corners for the " L " piece ).

Therefore, the number is identified with chaos and the reason Persians leave their houses to avoid bad luck on the thirteenth day of the Persian Calendar, a tradition called Sizdah Bedar.

Therefore, to measure the spectroscopic MO activity, a large number of measurements over the full spectra is required to obtain satisfactory wavelength resolution and thus is very time consuming.

Therefore, English cannot be said to have a singulative number.

Therefore Asner has a Bacon number of 1, and Presley ( who has never appeared in a film with Bacon ) has a Bacon number of 2.

Therefore, one may divide 72 by the percent interest rate to determine the approximate amount of time it would take to double one's money in an investment.

Therefore, a more accurate fix can be made if the time of year and approximate latitude are factored in.

Therefore the approximate point spectrum of T is its entire spectrum.

Therefore, the significant terms near the origin under this assumption are only those lying on the line and the others may be ignored it produce a simple approximate equation for the curve.

Therefore, many statistical tests can be conveniently performed as approximate Z-tests if the sample size is large or the population variance known.

Therefore conclusions drawn from models will be approximate representations of economic facts.

Therefore, numerical methods obtain approximate solutions.

Therefore, GPS is mostly a theoretical tool for benchmarking practical scheduling algorithms that approximate the GPS ideal.