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Thus and applied
Thus the film can be applied to back-lighted translucent plastics faces ; ;
Thus, the total force applied to a body or to a portion of the body can be expressed as:
Thus, the total applied torque about the origin is given by
Thus, the sum of all applied forces and torques ( with respect to the origin of the coordinate system ) in the body can be given by
Thus a 2 × 2 matrix with determinant − 2, when applied to a region of the plane with finite area, will transform that region into one with twice the area, while reversing its orientation.
Thus, this law can be applied to generate a magnetic field and run an electric motor.
Thus, during the 1960s and early 1970s, Portuguese development plans promoting strong economic growth and effective socioeconomic policies, like those applied by the Portuguese in the other two theaters of war ( Portuguese Angola and Portuguese Mozambique ), were not possible.
Thus we have in the first five centuries such epithets applied to her as " in every respect holy ", " in all things unstained ", " super-innocent " and " singularly holy "; she is compared to Eve before the fall, as ancestress of a redeemed people ; she is " the earth before it was accursed.
" Thus these two distinctions can be applied not only to class structure within society but denomination and racial segregation within religion.
Thus, even when the applied field is removed, the electrons in the material maintain a parallel orientation.
Thus the total magnetization drops to zero when the applied field is removed.
Thus, the specific processes that can be probed with PET are virtually limitless, and radiotracers for new target molecules and processes are continuing to be synthesized ; as of this writing there are already dozens in clinical use and hundreds applied in research.
Thus, Constitutional limitations applied to the validity of state court judgments.
Thus there is very wide and continuous range of timescales covering the response of such a system to externally applied stress.
Thus knowledge of good is absorbed by our will and immediately applied to life ( in the case with the tree of life ).
Thus, the Ninth Amendment originally applied only to the federal government, which is a government of enumerated powers.
Thus, the term " Jews " in the Gospel is applied to those who deny the resurrection and believe that the disciples stole Jesus's corpse.
Thus, the title of mep ' e might have been applied to Tamar to mark out her unique position among women.
Thus, what had become a revolution in both painting and sculpture was applied as part of ‘ a profound reorientation towards a changed world ’.
Thus the critical current oscillates as a function of the applied flux.
Thus, the original meaning of anomie defined anything or anyone against or outside the law, or a condition where the current laws were not applied resulting in a state of illegitimacy or lawlessness.
Thus, regular spaces are usually studied to find properties and theorems, such as the ones below, that are actually applied to completely regular spaces, typically in analysis.
Thus, a Christian symbolic theme was applied quite naturally to a form borrowed from civil semi-public precedents.
Thus, the origins of evolutionary developmental biology come from both an improvement in molecular biology techniques as applied to development, and the full appreciation of the limitations of classic neo-Darwinism as applied to phenotypic evolution.

Thus and is
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.

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