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Therefore the classifying space BC < sub > 2 </ sub > is of the homotopy type of RP < sup >∞</ sup >, the real projective space given by an infinite sequence of homogeneous coordinates.
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Therefore and classifying
Therefore, voice teachers only use vocal range as one factor in classifying a singer's voice.
Therefore, many metal fans oppose classifying Antestor's style to the category of black metal, as their lyrics are often contrary to the ideology of black metal.
Therefore we may further restrict ourselves to classifying the irreducible, simply connected Riemannian symmetric spaces.
Therefore and space
Therefore, when continuum mechanics refers to a point or particle in a continuous body it does not describe a point in the interatomic space or an atomic particle, rather an idealized part of the body occupying that point.
Therefore, the careful searching of radio emissions from space for non-natural signals may lead to the detection of alien civilizations.
Therefore, under certain conditions, when the orbitals of the unpaired outer valence electrons from adjacent atoms overlap, the distributions of their electric charge in space are further apart when the electrons have parallel spins than when they have opposite spins.
Therefore, these equations allow self-sustaining " electromagnetic waves " to travel through empty space ( see electromagnetic wave equation ).
Therefore, uranium was positioned below tungsten, and thorium below zirconium, leaving the space below tantalum empty, and until the 1950s periodic tables were published with this structure.
Therefore, the absence of life in Venus, with a somewhat similar composition to Earth's primitive conditions or the absence of life on Mars, given the proposed " resilience " of life in space, damages the panspermia theory, at least based on observations of our own Solar System-the theory suggests that life would be more abundant in the Solar system.
Therefore LQG predicts that not just matter, but also space itself, has an atomic structure.
Therefore, its quantum state can be represented as a wave of arbitrary shape and extending over space as a wave function.
Therefore, the dimension of the column space of is.
Therefore, the dimension of the row space of is and suppose that is a basis of the row space of.
Therefore, the column space of is a subspace of the column space of.
Therefore, the space Δ is also a Lie algebra representation of called a spin representation.
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 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, those without access to a private space are often criminalized.
Therefore, the receiver would choose to partition the space into " spheres " with 2 < sup > n </ sup > / 2 < sup > nR </ sup > = 2 < sup > n ( 1 − R )</ sup > potential outputs each.
Therefore, this space is ever filled up completely by the woman ( or the feminine principle ) surely.
Therefore the space is recommended in the SI / ISO 31-0 standard, and the International Bureau of Weights and Measures states that " for numbers with many digits the digits may be divided into groups of three by a thin space, in order to facilitate reading.
Therefore, the column space of A consists of all possible products Ax, for x ∈ R < sup > n </ sup >.
) Therefore, the first, second, and fourth columns of the original matrix are a basis for the column space:
Therefore, since ( according to the Heisenberg uncertainty principle ) < span style =" white-space: nowrap "> ΔpΔx ≥ ħ / 2 </ span > where Δp is the uncertainty in the particle's momentum and Δx is the uncertainty in position, then we must say that their momentum is extremely uncertain since the particles are located in a very confined space.
Therefore LQG predicts that not just matter, but also space itself, has an atomic structure.
Therefore and BC
Therefore, three eclipse records indicate that Romulus reigned from 746 BC to 709 BC.
Therefore induced conflicts started from 171 BC, when consul C. Cassius Longinus first attacked Iapydes.
Therefore, some scholars associate Mopsus ' activities along the coast of Asia Minor and the Levant with the famous Sea Peoples ' attacking Egypt in the beginning of the 12th century BC, one of those peoples being the Denyen — comparable to the d-n-n-y-m of the Karatepe inscription.
Therefore if 8900 / 9000 years are added to about 600 BC the date of creation comes to 9600-9500 BC.
Therefore, the first Persian invasion of Greece effectively began in the following year, 492 BC, when Mardonius was dispatched ( via Ionia ) to complete the pacification of the land approaches to Greece and push on to Athens and Eretria if possible.
( Therefore, the years 163 BC and on, for the rest of his reign, was known as the later era of his reign.
Therefore in 22 BC, Marcus Agrippa split Gallia Comata into three regions ( Gallia Aquitania, Gallia Lugdunensis and Gallia Belgica.
Therefore the only conclusion can be that the disrobing of Phryne must have been a later invention, sometime after 290 BC, when Poseidippus was active as a poet.
Therefore, it has been suggested that Ashurbanipal died in 631 BC and that Ashur-etil-ilani was the Assyrian king until 627 BC.
Therefore, AC > BC ; which is how it is reported clinically for a normal or positive Rinne result.
Therefore, Pro-Line is a parlay game where bettors wager on the outcome of anywhere from two to six ( BC and Atlantic ) and three to six ( Quebec, Ontario and Western Canada ) of the matches offered by the lottery corporation.
Therefore, around 471 BC, a law was passed to allow the plebeians to begin organizing by tribe.
Therefore could not be later than 394 / 3 BC.
Therefore this play must be brought out later than 408 BC, the year in which the Orestes was exhibited.
Therefore and <
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, more robust means of estimating the central value x < sub > 0 </ sub > and the scaling parameter γ are needed.
Therefore the change in u < sub > ρ </ sub > is
Therefore, the change du < sub > θ </ sub > is orthogonal to u < sub > θ </ sub > and proportional to dθ ( see image above ):
Therefore, if an electric field, E < sub > inc </ sub >( x, y ) is incident on the aperture, the field produced by this aperture distribution is given by the surface integral:
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 > =
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 the encoder must emit extra CLEAR codes at intervals of 2 < sup > n </ sup > − 2 codes or less to make the decoder restart.
Therefore every A < sub > n </ sub > has the same evaluation as A < sub > 1 </ sub >.
Therefore, two sources of light which produce the same intensity ( W / m < sup > 2 </ sup >) of visible light do not necessarily appear equally bright.
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