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Page "Dislocation" ¶ 48
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Therefore and compressive
Therefore, the change in enthalpy can be devised or represented without the need for compressive or expansive mechanics ; for a simple system, with a constant number of particles, the difference in enthalpy is the maximum amount of thermal energy derivable from a thermodynamic process in which the pressure is held constant.

Therefore and stress
Therefore, stress induced in one's arms is reduced meaning less muscle is needed in this event than events like still rings or parallel bars.
Therefore, the study of stress proteins has undergone explosive growth.
Therefore the quantity ( F / A ) that is the force per unit area is called the stress.
Therefore pressure vessels are designed to have a thickness proportional to the radius of tank and the pressure of the tank and inversely proportional to the maximum allowed normal stress of the particular material used in the walls of the container.
Therefore Nabarro-Herring creep has a weak stress dependence and a moderate grain size dependence, with the creep rate decreasing as grain size is increased.
Therefore, in conventional deformation homogeneous nucleation requires a concentrated stress, and is very unlikely.
Therefore, they are not detected by cardiac stress tests or angiography, the tests most commonly performed clinically with the goal of predicting susceptibility to future heart attack.
Therefore a monitoring of the stress distribution within the rock is possible.
Therefore, physiological stress has the potential to worsen a preexisting condition such as seborrheic keratosis.
Therefore, knowing the stress components and on any particular plane, one can draw a line parallel to that plane through the particular coordinates and on the Mohr circle and find the pole as the intersection of such line with the Mohr circle.
Therefore, typhoons were ruled out as the cause, and there is strong evidence that the radon originated in the stress accumulation preceding the earthquake.
Therefore in the presence of a conformal anomaly the trace of the stress tensor has a non-vanishing expectation.
Therefore, the Cauchy stress in a compressible Mooney – Rivlin material is given by

Therefore and direction
Therefore " eisode " would have become inappropriate, whereas " anode " meaning ' East electrode ' would have remained correct with respect to the unchanged direction of the actual phenomenon underlying the current, then unknown but, he thought, unambiguously defined by the magnetic reference.
Therefore " exode " would have become inappropriate, whereas " cathode " meaning ' West electrode ' would have remained correct with respect to the unchanged direction of the actual phenomenon underlying the current, then unknown but, he thought, unambiguously defined by the magnetic reference.
The fact that the PBS is located near the 5 ’ terminus of viral RNA is unusual because reverse transcriptase synthesize DNA from 3 ’ end of the primer in the 5 ’ to 3 ’ direction ( with respect to the RNA template ). Therefore, the primer and reverse transcriptase must be relocated to 3 ’ end of viral RNA.
Therefore, when moving in a favorable direction, the concentration of the chemical attractant increases and " tumbles " are continually suppressed ; however, when the cell's direction of motion is unfavorable ( e. g., away from a chemical attractant ), tumbles are no longer suppressed and occur much more often, with the chance that the cell will be thus reoriented in the correct direction.
Therefore if a collection of fibers can be arranged permanently in a preferred direction within a material, and if the fibers can be prevented from buckling in compression, then that material will become preferentially strong in that direction.
Therefore, every forty-five degrees of direction from north on the compass was divided into four ' points '.
( Ge 10: 10 ) Therefore it was likely under his direction that the building of Babel and its tower began ;
Therefore the boat will eventually coast to a stop, with the rudder becoming less and less effective at controlling the direction of travel.
Therefore, the motor exerts torque in a direction that is opposite from the rolling direction.
Therefore it has never became entirely clear under whose direction he fell.
Therefore, it has four tracks ( two in each direction ) for that line so as not to interfere with continuing trains ( trains go several rounds before being taken out ).
Therefore it is common to name the turning figure according to the direction of the first turning step.
Therefore, in the absence of a magnetic field, the force is in the direction of the electric field, and the magnitude of the force is dependent on the value of the charge and the intensity of the electric field.
Therefore, when a sequence of randomly generated trials repeatedly strays in one direction
Therefore, the macroscopic picture of the current flow through the diode involves electrons flowing through the N-type region toward the junction, holes flowing through the P-type region in the opposite direction toward the junction, and the two species of carriers constantly recombining in the vicinity of the junction.
Therefore the absorption of this radiation leads to a force with a component against the direction of movement.
Therefore it is important for good control of the direction that the particles in the stream have a uniform charge to mass ratio and that they move at a uniform speed.
Therefore, north is the most important direction in Peking opera, and performers will immediately move to " center north " upon entering the stage.
Therefore the extra weight of it would cause the chain to move round in the direction of the arrow, and this would go on, supposedly, continually.
Therefore, the anomalies in a system help point the developer in the right direction in finding defects.
Therefore, when the expressway opened in September 1993, it could cope rather well with just two lanes in one direction — for over a hundred kilometres.

Therefore and perpendicular
Therefore, the rotation is completely produced by the perpendicular motion around the origin, and the angular velocity is completely determined by this component.
Therefore, in Euclidean geometry, any two lines that are both perpendicular to a third line are parallel to each other, because of the parallel postulate.
Therefore, the displacement vector r and its velocity v are always in the plane perpendicular to the constant vector L.
Therefore O must lie on the perpendicular bisector of the line segment PQ.
Therefore the instant center of rotation is the intersection of the line perpendicular to PX at P and perpendicular to RX at R, and this point is Y.
Therefore YR is tangent to the evolute and the point Y is the foot of the perpendicular from P to this tangent, in other words Y is on the pedal of the evolute.
Therefore, contractions of muscles perpendicular to the long axis will cause a decrease in diameter and while keeping a constant volume will elongate the organ length-wise.
Therefore, only molecular vibrational peaks giving rise to a dynamic dipole moment perpendicular to the surface will be observed in the vibrational spectrum.

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