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, mechanical ventilation is initiated to relieve respiratory muscles of their work, and to protect the usually obtunded patient's airways.

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

Thus, Margenau remarks: `` A large number of unrelated epicycles was needed to explain the observations, but otherwise the ( Ptolemaic ) system served well and with quantitative precision.

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

Thus the Congress marks a formal recognition of the political system that was central to world politics for a century.

Thus if the gyro and platform-controller combination maintains the platform with zero angular deviation about the **yf axis, the system can be rotated with an angular velocity Af if a torque is supplied to the gyro output axis Aj.

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

Thus, an axiom is an elementary basis for a formal logic system that together with the rules of inference define a deductive system.

Thus flight test program was set to integrate the AARGM onto Tornado ECR's weapon system.

Thus, Walsh modified the vertical passing scheme he had learned during his time with the Raiders, designing a horizontal passing system that relied on quick, short throws-often spreading the ball across the entire width of the field.

Thus, a robust surveillance system involving human clinicians and veterinarians may identify a bioweapons attack early in the course of an epidemic, permitting the prophylaxis of disease in the vast majority of people ( and / or animals ) exposed but not yet ill.

Thus natural languages are mainly oral, while Blissymbols is just a writing system dealing with semantics, not phonetics.

Thus the week cycle is by itself not a full calendar system ; neither is a system to name the days within a year without a system for identifying the years.

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, though often de facto the case, Conservative Judaism's halakhic system does not inherently see Orthodox halakhic practice as acceptable and legitimate halakhic practice for a Conservative Jew.

Thus the CGS system never gained wide general use outside the field of science.

Thus, u < sub > ρ </ sub > and u < sub > θ </ sub > form a local Cartesian coordinate system attached to the particle, and tied to the path traveled by the particle.

Thus, instead of streamlining the system, Gorbachev's decentralization caused new production bottlenecks.

Thus, the larger the aperture of the lens, and the smaller the wavelength, the finer the resolution of an imaging system.

Thus, the only logical possibilities are to accept non-Euclidean geometry as physically real, or to reject the entire notion of physical tests of the axioms of geometry, which can then be imagined as a formal system without any intrinsic real-world meaning.

Thus, it has been argued that a voucher system would lead students who do not belong to a preferred religious or ethnic group, or those with disabilities, to become concentrated within the public school system.