Thus, the Dhrystone score counts only the number of program iteration completions per second, allowing individual machines to perform this calculation in a machine-specific way.

Thus, they transduce information from the ECM to the cell as well as reveal the status of the cell to the outside, allowing rapid and flexible responses to changes in the environment, for example to allow blood coagulation by platelets.

Thus a rocket would need about 6x more energy ; and allowing for the specific energy of rocket propellant being around one third that of conventional air fuel, roughly 18x more mass of propellant would need to be carried for the same journey.

Thus, by measuring the current-day < sup > 87 </ sup > Sr /< sup > 86 </ sup > Sr ratio ( and often the Nd-Nd ratios as well ) the geological fingerprint of an object or skeleton can be measured, allowing migration patterns to be determined.

Thus the modes allowing propagation of skew rays are called leaky modes.

Thus a decent-sized sailing rig can be added to the boat while still allowing all the equipment to be stowed completely inside it.

Thus there is effectively a 2-level tree, allowing applications to have sparse memory layout without wasting lots of space on unused page table entries.

Thus, the lower jaw gradually became just one large bone, with several of the smaller jaw bones migrating into the inner ear and allowing sophisticated hearing.

Thus, refrigeration at a morgue or funeral home can retard the process, allowing for burial in three days or so following death without embalming.

Thus the recovery rate is faster with bloodless surgery allowing the patient to leave earlier.

Thus, wet barrel hydrants allow single outlets to be opened, requiring somewhat more effort but simultaneously allowing more flexibility.

Thus satisfying allowing universal service.

Thus, the 1455 Papal Bull Romanus Pontifex granted the Portuguese all lands behind Cape Bojador " allowing to reduce pagans and other enemies of Christ to perpetual slavery ".

Thus, misfit provides invaluable diagnostic tools for test developers, allowing the hypotheses upon which test specifications are based to be empirically tested against data.

Thus, centralization of decision was preferred over decentralization allowing local initiative.

Thus altered, the repressor is unable to bind to the operator, allowing RNAP to transcribe the lac genes and thereby leading to higher levels of the encoded proteins.

Thus, allowing a two dimensional analysis of stresses, e. g. a dam analyzed at a cross section loaded by the reservoir.

Thus the service provider can provide a lesser number of circuits than might otherwise be required, allowing many users to " share " a smaller number of connections and achieve capacity savings.

Thus, gelatin filtration works by freezing a gelatin-containing, water-based solution and then allowing it to thaw in a mesh strainer at just above the freezing temperature of water.

Thus some cable providers may make it available via ClearQAM, allowing even viewers without a digital cable receiver to receive all of the music channels without additional cost using a digital television.

Thus, the ship of the original colonists was not only thrown off course, but also backwards in time, allowing for the long history of Darkover to coexist with human history.

Thus Davis was able to optimize the construction of the quadrant to have both a small and a large arc, allowing the effective accuracy of a single arc quadrant of large radius without making the entire instrument so large.

Thus did they allow the diffusion of Roman products through Gaul as soon as the 2nd century BCE, allowing their allies to benefit from their commerce with Rome and definitely with Greek colonies such as Massilia.

Thus, the Visigothic kings imposed a tax not upon each individual Jew or upon the heads of families, but upon the community as a whole, allowing the communal authorities to fix the individual rate of taxation.

Thus, we have enough bases to conclude that till now physics has not found a satisfactory model allowing to receive the canonical distribution as a consequence of interaction of the system with its environment.

" Thus Boolos and Jeffrey are saying that an algorithm implies instructions for a process that " creates " output integers from an arbitrary " input " integer or integers that, in theory, can be chosen from 0 to infinity.

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

Thus the choice of the north as corresponding to up in the northern hemisphere, or of south in that role in the southern, is, prior to world-wide communication, anything but an arbitrary one.

Thus, officially arbitrary lines which produced segregated districts could not be challenged.

Thus, we can interpret Boltzmann's constant as being simply the expression ( in terms of more standard physical units ) of the abstract logarithmic unit that is needed to convert the dimensionless pure-number quantity ln W ( which uses an arbitrary choice of base, namely e ) to the more fundamental pure logarithmic quantity Log ( W ), which implies no particular choice of base, and thus no particular choice of physical unit for measuring entropy.

Thus Hilbert is insisting that mathematics is not an arbitrary game with arbitrary rules ; rather it must agree with how our thinking, and then our speaking and writing, proceeds :".

Thus, a solution does not generally exist for an arbitrary choice of strain components.

Thus, assuming the absence of an infinite-range scattering effect by this arbitrary choice of singularity, the requirement of single-valued wave functions ( as above ) necessitates charge-quantization.

Thus linked, the user was able to choose an arbitrary path through the city ; the only restrictions being the necessity to stay in the center of the street ; move ten feet between steps ; and view the street from one of the four orthogonal views.

Thus, with arbitrary compressor and expander functions, any possible non-uniform scalar quantizer can be equivalently implemented as a companded quantizer.

Thus, we can start with a fixed topology and find subbases for that topology, and we can also start with an arbitrary subcollection of the power set P ( X ) and form the topology generated by that subcollection.

Thus, the process became open to abuse, and decisions were often arbitrary.

Thus the order of the letters in ⟨⟩ and ⟨⟩ is not arbitrary, but is motivated by the phonetic details of these sounds.

Thus in a certain sense, the fundamental representations are the elementary building blocks for arbitrary finite-dimensional representations.

Thus the class of accepted grammars is LL ( k ) for an arbitrary k. Fuzzy parsing is supported by so-called ANY symbols that match complementary sets of tokens.

Thus the utility function is cardinal ( it preserved the order of preference over except for an arbitrary choice of origin and scale ).

Thus s < sub > p </ sub > is a geodesic symmetry and, since p was arbitrary, M is a Riemannian symmetric space.

Thus, if U contains at least one ( proper ) maximal submodule, U · J ( R ) is a proper submodule of U. However, this need not hold for arbitrary modules U over R, for U need not contain any maximal submodules.