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Thus and definition
Thus, an expanded definition for data warehousing includes business intelligence tools, tools to extract, transform and load data into the repository, and tools to manage and retrieve metadata.
Thus, despot is found to have different meanings and interpretations at various times in history and can not be described by a single definition.
Thus another approach is to incorporate the notion of suffering into the definition.
Thus, it was not until two centuries had passed that in 1872 Karl Weierstrass presented the first definition of a function with a graph that would today be considered fractal, having the non-intuitive property of being everywhere continuous but nowhere differentiable.
However, a second definition and usage has historically been in practice in many fields of computer science and information technology, which defines the prefix kilo when used with byte or bit units of data as 1024 ( 2 < sup > 10 </ sup >); this is due to the mathematical coincidence that Thus, in these fields 1 kilobyte is equal to 1 kibibyte, a new unit standardized as part of the binary prefixes to resolve the ambiguity.
Thus their definition of " liberal " includes the RAND Corporation, a nonprofit research organization with strong ties to the Defense Department.
Thus, any system of policies that benefited one group would by definition harm the other, and there was no possibility of economics being used to maximize the " commonwealth ", or common good.
Thus, each instance has a " master ", or " definition ".
Thus, the original definition was limited to structures of unicellular organisms.
Thus, the 1960 SI definition abandoned any explicit relationship between the scientific second and the length of a day, as most people understand the term.
Thus it broadens the range of sign systems and sign relations, and extends the definition of language in what amounts to its widest analogical or metaphorical sense.
Thus a person who is not or who has ceased to qualify for the benefits afforded by the UN High Commissioner for Refugees, may still qualify for assistance as a refugee by the UNRWA definition.
Thus, by definition, one mole of pure < sup > 12 </ sup > C has a mass of exactly 12 g. It also follows from the definition that X moles of any substance will contain the same number of molecules as X moles of any other substance.
Thus, the legal definition of a narcotic is whether or not it is listed on the Schedules of the Convention.
Thus the definition of " nurture " has expanded to include influences on development arising from prenatal, parental, extended family, and peer experiences, and extending to influences such as media, marketing, and socio-economic status.
Thus the definition of Christian propitiation asserted by Calvin, Packer and Murray holds that within God there is a dichotomy of love and anger, but through propitiation love trumps anger, abolishing it.
Thus, his definition of continuity required an infinitesimal change in x to correspond to an infinitesimal change in y.
Thus, the definition or analysis of " bachelor " is thought to be an unmarried male.
Thus, the new definition of trademark in India broadly encompasses almost all the elements of trade dress under the US law.
Thus, Euthyphro is brought to a realization by this dialectical method that his definition of piety is not sufficiently meaningful.
Thus a definition reflects the ultimate object of our understanding, and is the foundation of all valid inference.
Thus, the example of a definition of oak given above ( something that has catkins and grows from acorns ) is not completely useless, even if " acorn " and " catkin " are defined in terms of " oak ", in that it supplies additional concepts ( e. g., the concept of catkin ) in the definition.

Thus and T
Thus T is not diagonalizable.
Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.
Thus D' and N' commute with any polynomial in T ; ;
Thus the multiplicity of Af for a given T must be an even number.
Thus for clocks on or near the geoid, T < sub > eph </ sub > ( within 2 milliseconds ), but not so closely TCB, can be used as approximations to Terrestrial Time, and via the standard ephemerides T < sub > eph </ sub > is in widespread use.
Thus this code number of a proof of contradition of T must be a non-standard number.
This identifies the tangent space T < sub > e </ sub > at the identity with the space of left invariant vector fields, and therefore makes the tangent space at the identity into a Lie algebra, called the Lie algebra of G, usually denoted by a Fraktur Thus the Lie bracket on is given explicitly by = < sub > e </ sub >.
Thus for a theory " T ", " G " is true, but not provable in " T ".
Thus, T ' ai chi ch ' uan in spite of its roots in martial arts has become similar in scope to Qigong, the purely meditative practice based on notions of circulation of qi.
Thus, one would expect to find a factor that roughly corresponds to " left " and " right ", as this is the dominant framing for politics in our society, but the basis of Eysenck's " tough / tender-minded " thesis ( the second, " T "- factor ) may well represent nothing beyond an abstract mathematical construct.
Thus, in DNA, the purines adenine ( A ) and guanine ( G ) pair up with the pyrimidines thymine ( T ) and cytosine ( C ), respectively.
Thus T: X → X ** is an injective linear mapping, though it is not surjective unless X is reflexive.
where D denotes the continuum derivative operator, mapping f to its derivative f. The expansion is valid when both sides act on analytic functions, for sufficiently small h. Thus, T < sub > h </ sub >= e < sup > D </ sup >, and formally inverting the exponential yields
Its change is equal to the amount of reversible work done on, or obtainable from, a system at constant T. Thus its appellation " work content ", and the designation A from Arbeit, the German word for work.
Thus the identifier " Model T " identifies the class ( model ) of automobiles that Ford's Model T comprises ; whereas the unique identifier " Model T Serial Number 159, 862 " identifies one specific member of that class — that is, one particular Model T car, owned by one specific person.
This question has two fundamental physical units: time t and length, and three dimensional variables: distance D, time taken T, and velocity V. Thus there is 32 = 1 dimensionless quantity.
There are 3 fundamental physical units in this equation: time t, mass m, and length l, and 4 dimensional variables, T, M, L, and g. Thus we need only 4 − 3 = 1 dimensionless parameter, denoted π, and the model can be re-expressed as
Thus T is uncountable: it cannot be placed in one-to-one correspondence with the set of natural numbers.
Thus the Fourier coefficients are just the values of the Fourier transform sampled on a grid of width 1 / T.

0.321 seconds.