Thus, to be valid, any law must conform to natural law and coercing people to conform to that law is morally acceptable.

Thus, law has an internal morality that goes beyond the social rules by which valid laws are made.

Thus the court accepted that a modified doctrine of tenure operated in Australia, and that the law of tenure ( as a product of the common law ) could co-exist with the law of native title ( as a product of customary laws and traditions ), though where there had been a valid grant of fee simple by the Crown the latter title would be extinguished.

Thus if the same type of thermometer is calibrated in the same way its readings will be valid even if it is slightly inaccurate compared to the absolute scale.

While this equation suggests that the activation energy is dependent on temperature, in regimes in which the Arrhenius equation is valid this is cancelled by the temperature dependence of k. Thus, E < sub > a </ sub > can be evaluated from the reaction rate coefficient at any temperature ( within the validity of the Arrhenius equation ).

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

Thus, whilst modern economists rightly consider manufacturing to be productive and wealth-creating, the underlying principles laid down by the Physiocrats remain valid.

Thus, ' Gasteromycetes ' and ' Gasteromycetidae ' are now considered to be descriptive, morphological terms ( more properly gasteroid or gasteromycetes, to avoid taxonomic implications ) but not valid cladistic terms.

Thus a definition reflects the ultimate object of our understanding, and is the foundation of all valid inference.

Thus the Conservative movement recognizes the right of Jews to form such denominations, and recognizes their clergy as rabbis, but does not generally accept their decisions as valid.

Thus, most modern halakhic authorities hold that hearing a shofar on the radio or the Internet would not be valid to satisfy the mitzvah because " electronically reproduced sounds do not suffice for mitzvot that require hearing a specific natural sound.

Thus, there were 29. 93 % invalid votes and 70. 07 % valid votes.

Thus, LDS doctrine teaches that plural marriages which were valid at the time of the sealing, whether biblical or 19th-century Mormon, will continue in force in the afterlife.

Thus, their conception of Stegosaurus would include three valid species ( S. armatus, S. homheni, and S. mjosi ) and would range from the Late Jurassic of North America and Europe to the Early Cretaceous of Asia.

Thus a particular coordinate system ( equinox and equator / ecliptic of a particular date, such as J2000. 0 ) could be used forever, but a set of osculating elements for a particular epoch may only be ( approximately ) valid for a rather limited time, because osculating elements such as those exampled above do not show the effect of future perturbations which will change the values of the elements.

Thus each integer is a valid address, and each memory location has exactly one valid address.

Thus it was asserted that no critical response to the Syllabus which did not take the cited documents and their context into account could be valid ( Newman 1874 ).

Thus, the insights of one era are not unshakeable or valid in another time or culture —" there are no eternal truths.

Thus we may debate how well a particular government fits the concept of democracy, but there is no room for debate over whether a given sequence of moves is or is not a valid game of chess.

Thus combined with other descriptive truths of what is good ( goods in particular considered in terms of whether they suit a particular end and the limits to the possession of such particular goods being compatible with the general end of the possession of the total of all real goods throughout a whole life ), a valid body of knowledge of right desire is generated.

Thus, it is possible that two or more sisters ( and their heirs after their deaths ) have an equally valid claim to the title ; in such a case, the title goes into abeyance.

Thus, the signer does not view the message content, but a third party can later verify the signature and know that the signature is valid within the limitations of the underlying signature scheme.

Thus, a subject-matter-valid test of knowledge of driving rules is appropriate while a predictively valid test would assess whether the potential driver could follow those rules.

Thus, an algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete system.

Thus for a limit ordinal, there exists a δ-indexed strictly increasing sequence with limit α.

Thus, knowing the students ' level on a developmental sequence provides information on the kind and level of knowledge they can assimilate, which, in turn, can be used as a frame for organizing the subject matter to be taught at different school grades.

Thus, the algorithm can be written as a sequence of equations

Thus the DTFT of the s sequence is also the Fourier transform of the modulated Dirac comb function .< ref group =" note "> We may also note that:

Thus we have the important result that when a discrete data sequence, s, is proportional to samples of an underlying continuous function, s ( t ), one can deduce something about the continuous Fourier transform, S ( ƒ ).

) Thus the main sequence represents the primary hydrogen-burning stage of a star's lifetime.

( Thus, they are called " macros " because a big block of code can be expanded from a small sequence of characters ).

Professional dance teachers in the US saw this approach to dancing as " extreme ", " undisciplined ", and thus, deemed it necessary to standardize the dance to present it as a sell-able commodity for the social or ballroom market Thus, compared to the mambo in Cuba, mambo had a different movement sequence in the United States and elsewhere, as it was popularized internationally.

Thus a point y in V is a cluster point of the net if and only if every neighborhood Y of y contains infinitely many elements of the sequence.

Thus represents a sequence of three phonemes,, ( the word push in standard English ), while represents the phonetic sequence of sounds ( aspirated " p "),, ( the usual pronunciation of push ).

Thus, Y and Ba are stacked in the sequence along the c-axis.

e. g. The square-free number 42 has factorisation 2 × 3 × 7, or as an infinite product: 2 < sup > 1 </ sup > · 3 < sup > 1 </ sup > · 5 < sup > 0 </ sup > · 7 < sup > 1 </ sup > · 11 < sup > 0 </ sup > · 13 < sup > 0 </ sup > · ...; Thus the number 42 may be encoded as the binary sequence < tt >... 001011 </ tt > or 11 decimal.

Thus, if in the defining sequence of a recursive function the functions and appear, then terms of the form ' g ( 5 )= 7 ' or ' h ( 3, 2 )= 10 ' might appear.

Thus, two parties talking via satellite are subject to about a half second delay in a round-trip message / response sequence.

" Thus epigenetic can be used to describe anything other than DNA sequence that influences the development of an organism.

Thus, is a bounded monotonic sequence ( in m ), which must converge.

Thus the sequence "" is replaced with "".

Thus, Richard says, the real number r will not be included as any r < sub > n </ sub >, because the definition of r does not meet the criteria for being included in the sequence of definitions used to construct the sequence r < sub > n </ sub >.

Thus long ē ( eta: η ) can be understood as a sequence of two short vowels: ee.

Thus, the sampled function is given by the sequence:

Thus, staining the flies for LacZ expression or activity and cloning the sequence surrounding the integration site can identify the enhancer sequence.