Therefore the ion speed can be computed with the following equation, which relates kinetic energy to energy gain due to the electric field.

Therefore, these equations allow self-sustaining " electromagnetic waves " to travel through empty space ( see electromagnetic wave equation ).

Therefore, if the equation of the line is given in the form

Therefore u satisfies the Laplace equation.

Therefore, the equation required to determine the number of paper reams sold in a particular day is:

Therefore, the primitive cube roots of unity are the roots of a quadratic equation.

Therefore, a key technique to understanding operators is a change of coordinates – in the language of operators, an integral transform – which changes the basis to an eigenbasis of eigenfunctions: which makes the equation separable.

Therefore, when λ is very small, the solution approaches that of the unscreened Poisson equation, which, in dimension, is a superposition of 1 / r functions weighted by the source function f:

Therefore, the same charge must be present on both sides of the balanced equation.

Therefore, the significant terms near the origin under this assumption are only those lying on the line and the others may be ignored it produce a simple approximate equation for the curve.

Therefore to make the right side of equation ( 3 ) into a perfect square, the following equation must be solved:

Therefore equation ( 3 ) becomes

Therefore, the solution to the logistic equation is

Therefore the Einstein field equation is dimensionally consistent in these units.

Therefore, expanded the equation is:

Therefore, using the functional equation of the exponential function,

Therefore, as Gauss knew, P satisfies a quadratic equation with integer coefficients.

Therefore, the potential of a Laplacian field satisfies Laplace's equation.

Therefore, when one is solving a differential equation and using division one must check what happens if the term is equal to zero, and whether it leads to a singular solution.

Therefore, the Henderson-Hasselbalch equation can be solved in this manner:

Therefore, one can easily find the pK < sub > a </ sub > of the monoprotic acid by finding the pH of the point halfway between the beginning of the curve and the equivalence point, and solving the simplified equation.

Therefore use of the functional equation is basic, in order to study the zeta-function in the whole complex plane.

Therefore we can also say that Newton ’ s law from the equation above can be defined as force and is equal to the rate of change of momentum.

Therefore x ( t ) = cos t. This is an example of simple harmonic motion.

Therefore, the terminology fugue state may carry a slight linguistic distinction from Dissociative Fugue, the former implying a greater degree of motion.

Therefore magnetism is seen whenever electrically charged particles are in motion --- for example, from movement of electrons in an electric current, or in certain cases from the orbital motion of electrons around an atom's nucleus.

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, the rotation is completely produced by the perpendicular motion around the origin, and the angular velocity is completely determined by this component.

Therefore drag opposes the motion of the object, and in a powered vehicle it is overcome by thrust.

Therefore, if we know the particle's motion, cross products term, and phase factor, we could calculate the radiation integral.

) Therefore a hypothetical astronomer on an extrasolar planet would observe a small " wobble " in the Sun's motion.

# Therefore motion is impossible

Therefore, the members of a legislature may, if they choose, pass a motion to dispense with the rules and grant official status to parties that would otherwise fail to qualify.

Therefore, the forward motion increases the observed wind speed for points to the right of the eye of the hurricane and decreases the observed wind speed for points to the left of the eye, but in a complex way that defies crude addition or subtraction of the forward motion from the " intrinsic " wind speed of the hurricane.

Therefore, the average electron energy is higher than the Fermi energy, making the system conducive for charge motion into a lower energy state.

Therefore, on average there will be no overall motion of charge carriers in any particular direction over time.

Therefore, the visual brain consists of several parallel multistage processing systems, each specialized in a given task such as color or motion.

Therefore, the reasons for non-compliance by the people can be anything from lack of attitude to lack of awareness, from vaccinating an ill child to apprehension about the side-effects of polio drops ( including fever, loose motion, death, infertility etc.

Therefore, massacres of the enemies of the people must be set in motion.

Therefore, to solve for the motion of a particle, the most straightforward way is to solve the geodesic equation, an approach adopted by Einstein and others.

Therefore, the only explanation is that the train has moved underneath the ball, resulting in an apparent motion of the ball.

Therefore, like Feynman's strategy, when designing a molecular machine, it seems sensible to utilize Brownian motion rather than attempt to fight against it.

Therefore, he granted the government's motion to dismiss but also raised the seriousness of using eminent domain to serve broad redevelopment projects.

Therefore, opponents point out that the Law of Opposites does not explain motion but presupposes it.

Therefore, as a practical matter, if a Rule 10b-5 case is not dismissed on a motion to dismiss, and if the case is certified as a class action, the defendant will face much pressure to settle the case.