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Therefore and N
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, the greatest common divisor g must divide r < sub > N − 1 </ sub >, which implies that g ≤ r < sub > N − 1 </ sub >.
Therefore, the convex hull of a set X of three or more points in the plane is the union of all the triangles determined by triples of points from X, and more generally in N-dimensional space the convex hull is the union of the simplices determined by at most N + 1 vertices from X.
Therefore, if one would give the product topology of R < sup > N </ sup > where the topology of R is the usual topology rather than the discrete one, then the above limit would converge to exp ( X ).
Therefore we can express all the image frequencies as for any integer N ( with being the actual signal frequency ).
Therefore, it barely rises from cities such as Miami, Florida, or Karachi, Pakistan ( both around 25 ° N ) and not at all from New Orleans, Louisiana, or Cairo, Egypt ( both about 30 ° N ).
Therefore we can use this K to construct another machine, N, which takes a machine description and runs K on the tuple (, ), and then accepts only if K rejects, and rejects if K accepts.
Therefore, for N even the convolution is cyclic, but in this case N is composite and one would normally use a more efficient FFT algorithm such as Cooley – Tukey.
Therefore, reactions such as the S < sub > N </ sub > 1 reaction and the E1 elimination reaction normally do not occur if a primary carbocation would be formed.
Therefore, to maximise the rate of the S < sub > N </ sub > 2 reaction, the back of the substrate must be as unhindered as possible.
Therefore, the heat capacity of a gas of N diatomic molecules is predicted to be 7N · k < sub > B </ sub >: the momenta p < sub > 1 </ sub > and p < sub > 2 </ sub > contribute three degrees of freedom each, and the extension q contributes the seventh.
Obviously, if J belongs to N, then any of its subsets is also in N. Therefore N is an abstract simplicial complex.
Therefore the name can be translated as " Army of N &# 257 ; ga " or " Host of Dragons ", signifying a very powerful supernatural presence.
Therefore if a restriction appears below for a given number N of spinors of supercharges, then it also holds for all greater values of N.
Therefore, the unit metre per second squared is equivalent to newton per kilogram, N · kg < sup >− 1 </ sup >, or N / kg.

Therefore and is
Therefore, it is plain that the clear distinctions of the nineteenth century are no longer with us.
Therefore, what we must prove or disprove is that there were Saxons, in the broad sense in which we must construe the word, in the area of the Saxon Shore at the time it was called the Saxon Shore.
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, if the target can significantly change its location in something less than 30 minutes, the probability of having destroyed it is drastically lowered.
Therefore, the lumber is bought in planks and ripped to size for battens, etc., on a table saw.
Therefore, neglecting the extreme outbursts, reflected solar radiation is not expected to cause sizable errors in the measurements of planetary radiation in the centimeter- and decimeter-wave-length range.
Therefore, Af is single-valued near Q.
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.
Therefore, the congruence of its secants, that is the image of a general plane field of lines, is of order Af and class Af.
Therefore, it is not only a question of honor but of life and death for the Soviet state ''.
Therefore, if the sense of touch is functioning normally and there is a complete absence of spatial awareness in a psychically-blind person when the eyes are closed and an object is handled, the conclusion seems unavoidable that touch by itself cannot focus and take possession of the third-dimensionality of things and that actual sight or visual representations are necessary.
Whereas, John Brown has cheerfully risked his life in endeavoring to deliver those who are denied all rights and is this day doomed to suffer death for his efforts in behalf of those who have no helper: Therefore,
Therefore, a broad concept of over-all submarine defense is needed for co-ordination of the Navy's efforts, for a logical presentation to the public, for industry's guidance, and as a basis for a program to the Congress.
Therefore the second principle of the plan must be that, while providing for all-out hostilities, its effectiveness is not dependent on general war.
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, her wardrobe is largely mobile, to be packed at a moment's notice and to shake out without a wrinkle.
Therefore, by contraposition, a necessary condition for unit-treatment additivity is that the variance is constant.
Therefore the perfect of these verbs would be ich bin gesessen, ich bin gelegen and ich bin geschlafen respectively ( note: ich bin geschlafen is a very rare form, usually you will hear ich habe geschlafen ; but ich bin eingeschlafen fell asleep is quite normal ).
Therefore, pure antimony is not used to make hard objects: coins made of antimony were issued in China's Guizhou province in 1931, but because of their rapid wear, their minting was discontinued.

Therefore and inversely
Therefore, the momentum imbalance per unit area decreases inversely as the square of the distance.
Therefore pressure vessels are designed to have a thickness proportional to the radius of tank and the pressure of the tank and inversely proportional to the maximum allowed normal stress of the particular material used in the walls of the container.
Therefore, it is possible for one parent to have physical custody while sharing legal custody, or inversely, it is possible for one parent to have legal custody while sharing physical custody.

Therefore and proportional
( Note: bandwidth is proportional to where = bit time ) Therefore, the bandwidth of the data signal is and the bandwidth of the spread spectrum signal is.
Therefore, the change du < sub > θ </ sub > is orthogonal to u < sub > θ </ sub > and proportional to dθ ( see image above ):
Therefore, like other single seat methods, if used to elect a council or legislature it will not produce proportional representation ( PR ).
Therefore, the activity level in the inferior frontal gyrus and the level of lexical ambiguity are directly proportional to each other, because of the increased retrieval demands associated with highly ambiguous content.
Therefore, the result indicates that the force on the dielectric particle, when treated as a point dipole, is proportional to the gradient along the intensity of the beam.
* That resistance of the flux is proportional to uv ( where v is the velocity of the particles and u that of gross matter ) and gravity is proportional to v < sup > 2 </ sup >, so the ratio resistance / gravity can be made arbitrarily small by increasing v. Therefore he suggested that the ultramundane corpuscles might move at the speed of light, but after further consideration he adjusted this to 10 < sup > 5 </ sup > times the speed of light.
Therefore, as the maximum energy density is proportional to J < sub > s </ sub >< sup > 2 </ sup >, this magnetic phase has the potential for storing large amounts of magnetic energy ( BH < sub > max </ sub > ~ 512 kJ / m < sup > 3 </ sup > or 64 MG · Oe ), considerably more than samarium cobalt ( SmCo ) magnets, which were the first type of rare earth magnet to be commercialized.
Therefore, proportional positive vectors are equivalent when considered as compositions.
Therefore, both numbers are proportional to powers of 1. 324718, the plastic number.
Therefore, vacuum solutions of Einstein's equation are ( Lorentzian ) Einstein manifolds with k proportional to the cosmological constant.
Therefore, these gamblers on either side of the wager will both bet less than they would have at fair odds ( assuming proportional vigorish ).
Therefore rise time is proportional to the time constant:
Therefore it can be said that the proportional counter has the key design feature of two distinct ionisation regions:
Therefore, the number of pairs of particles that actually interact is roughly proportional to A, giving the volume term its form.
Therefore the length of each parallel on the map is proportional to the cosine of the latitude, as it is on the globe.
Therefore, the contrast threshold required for detection is proportional to the signal-to-noise ratio multiplied by the noise divided by the area.

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