Therefore, 5 ml of such material is, or 5 500 000 000 metric tons.

Therefore, the 10 / 90 or 20 / 80 knife-edge width is a useful metric when the user wishes to be sure that the width encompasses a fixed fraction of total beam power.

Therefore a good metric of efficient energy use while driving is to note how much one is braking.

Therefore an algorithm that finds a minimum spanning tree is a polynomial-time factor-2 approximation algorithm for the metric Steiner tree problem.

Therefore, its variation with respect to the inverse metric is given by

Therefore the metric is said to be asymptotically

This was facilitated because the furlong ( one eighth of a mile ) is close to 200 m. Therefore the Melbourne Cup was changed from 2 miles ( about 3218 m ) to 3200 m. The first metric Melbourne Cup was raced in November 1972.

Therefore rings and Z-algebras are equivalent concepts, in the same way that abelian groups and Z-modules are equivalent.

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.

Therefore, under our longstanding allocation rules, on some of these channels no station other than the dominant ( class 1 ) -- A ) station is permitted to operate at night, so that the 1, -- A station can render service, interference free, wherever it can be received.

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

Therefore each binomial trial can be thought of as producing a value of a random variable associated with that trial and taking the values 0 and 1, with probabilities Q and P respectively.

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, a base on balls does not increase nor decrease a player's batting average, but it does increase his on-base percentage, unless a player's on-base percentage is 1. 000, in which case it remains the same.

Therefore players get 1 to 2 for the numbers 4 and 10, 2 to 3 for the numbers 5 and 9, and 5 to 6 for the numbers 6 and 8.

Therefore, the eigenvalues of are the fourth roots of unity: is + 1, − 1, + i, or − i.

Therefore it was a primary mission of the Deep Space 1 demonstration to show long duration use of an ion thruster on a science mission.

Therefore both and are inverses of By Theorem 1. 5,

Therefore, c divides the initial remainder r < sub > 0 </ sub >, since r < sub > 0 </ sub > = a − q < sub > 0 </ sub > b = mc − q < sub > 0 </ sub > nc = ( m − q < sub > 0 </ sub > n ) c. An analogous argument shows that c also divides the subsequent remainders r < sub > 1 </ sub >, r < sub > 2 </ sub >, etc.

Therefore, the greatest common divisor g must divide r < sub > N − 1 </ sub >, which implies that g ≤ r < sub > N − 1 </ sub >.

Therefore, p < sub > 1 </ sub > =

More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.

Therefore, these two correspond to the elements 1 and 5 of Z < sub > 6 </ sub >, in that order or conversely.

Therefore a * b * b < sup >− 1 </ sup > * a < sup >− 1 </ sup > is also defined.

Therefore, it is equally likely to flip 21 heads as it is to flip 20 heads and then 1 tail when flipping a fair coin 21 times.

Therefore the start address of the data should be shifted such that this logic can be implemented avoiding unnecessary +/- 1 offsets in the coded algorithm.

In Genesis 2: 24, there is a commandment stating " Therefore shall a man leave his father and his mother, and shall cleave unto his wife: and they shall be one flesh " () In 1 Corinthians, Christians are advised:

Therefore every A < sub > n </ sub > has the same evaluation as A < sub > 1 </ sub >.

Therefore, the digit ' 1 ' may easily be confused with the letter ' l '.