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, 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, 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 great number of approximate methods strive to achieve the best trade-off between accuracy and computational cost.

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, 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, 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 a comprehensive study was conducted and finally a floor height of 3. 6 m ( 11. 8 ft ) was adopted.

Therefore, at 10: 00 am on Monday, 11 February 1963, The Beatles and George Martin started recording what was essentially their live act in 1963, and finished 585 minutes later ( 9 hours and 45 minutes ).

Therefore, heavy trucks over 40 tons are permitted to use the bridge only between 11: 00 PM and 5: 00 AM, when traffic is lightest.

Therefore about 75 % of the U. S. Divisions were still equipped with the Chauchat-in its original French M1915 version in 8 mm Lebel-at the time of the Armistice of November 11, 1918.

Therefore, the Cooperative Observer Program ( COOP ) network of approximately 11, 000 mostly volunteer weather observers provides much of the meteorological and climatological data to the country.

Therefore, C ++ 11 introduced a new pointer type:.

Therefore, the universe is not in thermodynamic equilibrium and objects can do physical work .< sup >, § VID .</ sup > The decay time for a supermassive black hole of roughly 1 galaxy-mass ( 10 < sup > 11 </ sup > solar masses ) due to Hawking radiation is on the order of 10 < sup > 100 </ sup > years, so entropy can be produced until at least that time.

Therefore, the U. S. sent Task Force 67 ( TF 67 )— a large reinforcement and re-supply convoy, split into two groups and commanded by Rear Admiral Richmond K. Turner — to Guadalcanal on 11 November.

Therefore, the very young Sor ( less than 11 years old ) began to write songs to words in Latin to impress his parents.

Therefore on August 11, 1804 he created the new title Emperor of Austria for himself and his successors as heads of the Habsburg Lothringen dynasty.

Therefore the Erosion of A by B is given by this 11 x 11 matrix.

" Likewise with the chalice ; then Paul states ( 11: 27 ) " Therefore whosoever shall eat this bread, or drink the chalice of the Lord unworthily, shall be guilty of the body and of the blood of the Lord.

Therefore his number of days in one year was 365. 25016, which is 11 minutes longer than the current value.

Therefore, most of the individuals interviewed generally did not see brain fingerprinting as being useful for their primary purposes under the prevailing conditions prior to 9 / 11 / 2001.

Therefore, models with climate sensitivities as high as 11 ° C are included even though they are inaccurate.

Therefore, the Year 11 date can only be assigned to Psusennes II and constitutes the first securely attested date for this pharaoh's reign.

Therefore the Senior Campus was built on Civic Drive in Epping, and was operational in time for the original year 7 students of 92 to attend year 11 in 1996.

Therefore although it was midnight March 11 outside the House of Commons, inside it was still March 10.

John 11: 3 is also relevant: " Therefore his sisters sent unto him, saying, Lord, behold, he whom thou lovest is sick.

Therefore, the early dreadnought battleships featured " all big gun " armaments of 11 or 12 inches calibre, some of which were mounted in wing turrets.

Therefore, effectively in the end, a total of 11. 5 places were granted to Europe while only 0. 5 places were granted to Africa and Asia.

Therefore a qualification round was created and 11 clubs split into 3 groups.

Therefore according to the new classification system a high anion gap is anything above 11 mEq / L and a normal anion gap is often defined as being within the prediction interval of 3 – 11 mEq / L, with an average estimated at 6 mEq / L.