Thus, fluids are generally associated with viscous behaviour ( a thick oil is a viscous liquid ) and solids with elastic behaviour ( an elastic string is an elastic solid ).

Thus it was possible to conduct analyses of elastic materials, which were possible prior to this only with nuclear reactors via neutron scattering.

Thus the speed of sound increases with the stiffness ( the resistance of an elastic body to deformation by an applied force ) of the material, and decreases with the density.

Thus, the supplier sets a lower price for that consumer because the student or senior has a more elastic Price elasticity of demand ( see the discussion of Price elasticity of demand as it applies to revenues from the first degree price discrimination, above ).

The gravific particle C which ordinarily would strike on A is blocked by B, but another particle D which ordinarily would not have struck A, is re-directed by the reflection on B, and therefore replaces C. Thus if the collisions are fully elastic, the reflected particles between A and B would fully compensate any shadowing effect.

Thus the PES for textiles is elastic.

Thus, when supply is represented linearly, regardless of the slope of the supply line, the coefficient of elasticity of any linear supply curve that passes through the origin is 1 ( unit elastic ).

Thus we also have inelastic and elastic collision depending on the relative motion of the masses, or continuous.

Thus, passive cooling systems, low-noise fans, vibration-absorbing elastic mounts for fans and hard drives, and other noise-minimizing devices are used in place of conventional cooling systems.

Thus, according to present understanding, familiar events such as landslides and earthquakes release energy which has been stored as potential energy in the Earth's gravitational field, or elastic strain ( mechanical potential energy ) in rocks.

Thus, for an isotropic material only two independent parameters are needed to describe the elastic properties, known as the Lame coefficients.

Thus, collisions can be either elastic ( the internal quantum states of the particles are not changed ) or inelastic ( the internal quantum states of the particles are changed ).

Thus, the bar sets a lower price for entry for university and college students because students have elastic demand.

Thus, for steel with a Young's modulus of 30 million psi, a 30 thousand psi load will elongate a 1 inch bar by one thousandth of an inch ; similarly, for metric units, where a thousandth of the modulus in gigapascals will change a meter by a millimeter.

Thus, the components of the dynamic modulus are:

Thus, for a function between metric spaces it is equivalent to admit a modulus of continuity which is either concave, or subadditive, or uniformly continuous, or sublinear.

Thus, the real and imaginary components of the dynamic modulus are:

Thus it is important that PS is maintained only in the inner leaflet of the bilayer to ensure normal blood flow in microcirculation.

Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

Thus jazz is transmuted into something holy, the sacred road to integration of being.

Thus the fictional detective is much more than a simple businessman.

Thus the cocktail party would appear to be the ideal system, but there is one weakness.

Thus in both types attention is focused on the community itself, and its phenomenological life.

Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.

Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.

Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.

Thus the copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.

Thus there is a clearer division of authority, administrative and legislative.

Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.

Thus, the need for the B-70 as a strategic weapon system is doubtful.

Thus technical efficiency is achieved at the expense of actual experience.

Thus, there is an added incentive to stay on the job.

Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.

Thus T is not diagonalizable.

Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.

Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.