Therefore, N is inversely proportional to the radius cubed and in fair agreement with the inverse 7/2 power derived from 1958 Alpha and 1959 Eta data.

( 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, both numbers are proportional to powers of 1. 324718, the plastic number.

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, 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.

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 the divergence of the velocity field in that region would have a positive value, as the region is a source.

Therefore, a deficit is expected and should even be regarded as positive at this point.

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

Therefore, the vapor pressure will be greater than expected from the Raoult's law, showing positive deviation.

Therefore, the matrix being positive definite means that f has a unique minimum ( zero ) when z is zero, and is strictly positive for any other z.

Therefore the form is an inner product on if and only if is real and positive for all nonzero z ; that is if an only if M is positive definite.

Therefore, the network and producer William Asher decided to fire Whitmore and combine the positive elements of both series.

Therefore the hole is taken to have positive charge of + e, precisely the opposite of the electron charge.

Therefore, a special linear matrix can be written as the product of a special unitary matrix ( or special orthogonal matrix in the real case ) and a positive definite hermitian matrix ( or symmetric matrix in the real case ) having determinant 1.

Therefore early vitalists were aware that the vital forces that they proposed were not capable of standing as positive scientific theories.

Therefore, it is hypothesized that music therapy helps stroke victims recover faster and with more success by increasing the patient's positive emotions and motivation, allowing them to be more successful and driven to participate in traditional therapies.

Therefore, bringing the notional leader together with the team to explore these similarities ( rather than focusing on the differences ) brings positive results.

Therefore, positive functions and dysfunctions cannot be simply added up and objectively determine which outweighs the other.

Therefore, the nucleophile attacks the more substituted carbon because it retains more positive character than the lesser substituted carbon.

Therefore, if electrons are to be used in an application which requires a high activation energy, positive coronas may support a greater reaction constants than corresponding negative coronas ; though the total number of electrons may be lower, the number of a very high energy electrons may be higher.

Therefore, positive liberty is a contractarian philosophy.

" Therefore a house that cost you money is a liability, and a rental property that produce positive cash flow income is considered to be an asset.

Therefore, secondary electrons are emitted from the surface of the isolating material when the electron image reaches the target, and the resulting positive charges are stored directly onto the surface of the isolated material.

Therefore his closest disciples included not only leading rabbis of the next generation but also laymen who would come to exert a tremendous positive influence on the physical and spiritual lot of their brethren.

Therefore in photography: Object height and distance are always real and positive.

Therefore the standard form of hypothesis H is that if Q defined as above has no fixed prime divisor, then all f < sub > i </ sub >( n ) will be simultaneously prime, infinitely often, for any choice of irreducible integral polynomials f < sub > i </ sub >( x ) with positive leading coefficients.

Therefore, if the determinant equals zero then the parallelogram has no area, and that will happen when two vectors are on the same line.

Therefore, they may be represented as two radial vectors in a sphere in reciprocal space, which shows the values of q that are sampled in a given diffraction image.

Therefore, the three vectors

Therefore, through the use of second nature and third nature society is able to use and explore new vectors of possibility where information can be moulded to create new forms of interaction ( Wark, 1997, p. 28 ).

Therefore all tangent vectors in a point p span a linear space, called the tangent space at point p. For example, taking a 2-dimensional space, like the ( curved ) surface of the Earth, its tangent space at a specific point would be the flat approximation of the curved space.

Therefore these two vectors differ by a phase, which can depend on the two group elements ( a, L ) and ( b, M ).

Therefore, the column vectors of constitute a set of linearly independent solutions for.

Therefore, one also talks about tangent vectors.

Therefore the vectors of the root system are in eight-dimensional Euclidean space: they are described explicitly later in this article.

It turns out that S ( V ) is in effect the same as the polynomial ring, over K, in indeterminates that are basis vectors for V. Therefore this construction only brings something extra when the " naturality " of looking at polynomials this way has some advantage.

Therefore the multistatic ambiguity function is mostly usefully defined as a function of two-or three-dimensional position and velocity vectors for a given multistatic geometry and transmitted waveform.

Therefore, it is evident that many mistakes will occur if you try to store a large number of vectors.

Therefore, the g and h vectors are also subject to a related arbitrary rotation, despite the fact that the space spanned by the two vectors is invariant.