Thus the Sidewinder team replaced a potentially complex control system with a simple mechanical solution.

Thus the engine expended much of its energy in repeatedly heating the cylinder rather than in delivering mechanical force.

Thus the power relationship is between the conversion of the mechanical energy of the pump mechanism and the fluid elements within the pump.

Thus, the mechanical advantage is three.

Thus the mechanical energy of the blades is transferred to the gas molecules.

Thus, Paley's use of the watch ( and other mechanical objects like it ) continued a long and fruitful tradition of analogical reasoning that was well received by those who read Natural Theology when it was published in 1802.

Thus a paper clip is a useful accessory in many kinds of mechanical work including computer work: the metal wire can be unfolded with a little force.

Thus a quantum mechanical ensemble is specified by a mixed state in general.

Thus, when the frame story required the use of a mechanical device, Doc would merely find yet another of Uncle George's machines.

Thus, the passive deaths following custody restraint presumed to be due to positional asphyxia after being secured by mechanical restraints may actually be examples of active restraint asphyxia occurring during the process of placing restraints.

Thus, these crocodilians have evolved to increase the mechanical strength of their mandibles by developing a larger mass of M. ptergoideus posterior muscles.

Thus, the instanton field solution of the ( 1 + 1 )- dimensional field theory ( first quantized quantum mechanical system ) allows to be interpreted as a tunneling effect between the two vacua of the physical Minkowskian system.

Thus light, pressure, or mechanical stimulation acting on the retina and optic nerve invariably produces luminous impressions.

Thus, whereas the value of mechanics or biology or psychology is taken to be internal to the practice ( i. e., judged in terms of the progress of mechanical, biological, or psychological achievements ), the value of philosophy is taken to be external ( i. e., judged in terms of its effects on achievements in other fields, such as mechanics, biology, and psychology ).

Thus mechanical engineers could use their experience with the properties of steam and air to control the flow of heated or cooled air.

Thus he took over the management of his father ’ s fine mechanical firm and also founded the ‘ Warsitz Werke ’ in Amsterdam making various high-precision materials.

Thus, in Bailyn's survey of thermodynamics, Carathéodory's approach is called " mechanical ", as distinct from " thermodynamic ".

Thus you see that the mechanical healer or Osteopath is the legitimate child of the mother of inventions.

Thus, it appears RYGB affects weight loss by altering the physiology of weight regulation and eating behavior rather than by simple mechanical restriction or malabsorption.

Thus the partial trace is the quantum mechanical equivalent of this operation.

Thus, in a mechanical system like a swinging pendulum subjected to the conservative gravitational force where frictional forces like air drag and friction at the pivot are negligible, energy passes back and forth between kinetic and potential energy but never leaves the system.

Thus, the total energy of the system remains unchanged though the mechanical energy has been changed.

Thus, mechanical KVM switches may be unsuitable for controlling machines which can reboot automatically ( e. g. after a power failure ).

Thus, the speed ratio of a gear train also defines its mechanical advantage.

Thus, poor ventilation leading to hypercapnia, left heart failure leading to interstitial edema ( impairing gas exchange ), asthma causing bronchoconstriction ( limiting airflow ) and muscle fatigue leading to ineffective respiratory muscle action could all contribute to a feeling of dyspnea.

Thus, it is critical to select the appropriate PFC for a specific biomedical application, such as liquid ventilation, drug delivery, blood substitutes, etc.

Thus, EIT measurements may be used to control the specific ventilator settings to maintain lung protective ventilation for each patient.

Thus, a conscious individual administered this agent will be unable to move any voluntary muscles, including the diaphragm: a large enough dose will therefore result in death from respiratory failure unless artificial ventilation is initiated.

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.