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Page "Reciprocity (electromagnetism)" ¶ 19

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Now and equation

Now substitute equations ( 2 ) and ( 4 ) into equation ( 1 ) to obtain

Now there are two related linear equations, each with two unknowns, which lets us produce a linear equation with just one variable, by subtracting one from the other ( called the elimination method ):

Now, we can solve for, and we get the equation for the critical angle:

Now if u is any solution of the Poisson equation in V:

Now we see the great advantage of the first-order equation over the one Schrödinger had tried-this is the conserved current density required by relativistic invariance, only now its 4th component is positive definite and thus suitable for the role of a probability density:

Now we have an easy way to calculate the radius of the first Fresnel zone ( F < sub > 1 </ sub > in the above equation ), knowing the distance between the two antennas and the frequency of the transmitted signal.

Now let and rewrite this equation as follows:

Now substitute this expression for x into the bottom equation:

Now substitute this expression for ( b / a ) into the original equation for sin ( α + β ) and you will have the angle sum identity for α and β in terms of sine.

Now, the Triangle Model equation becomes:

Now, equation ( 1 ) can only be true if at least one of the other three is false.

Now one can expand the matrix product in our equation by bilinearity

Now the time-derivative of the momentum p equals the Newtonian force, and so here the first Hamilton equation means that the force on the particle equals the rate at which it loses potential energy with respect to changes in its location.

Now, all the zeroes in the middle of the two vectors above being disregarded and collapsed, only the following equation is left:

Now, in dual way with respect to the small perturbations, we have to solve the Schrödinger equation

Now multiply the differential equation

Now we consider the following differential equation:

Now Fermi's golden rule gives a master equation for the average rate of quantum jumps from state α to β ; and from state β to α.

Now rearrange the equation so that is on the left and on the right

Now, you might wonder why we would ever want to get an approximate fit when we could just increase the degree of the polynomial equation and get an exact match.

Now we have to check that the following equation holds:

Now we have to check that the following equation holds ( in this case k =

Now we have to check that the following equation holds:

Now, to relate the dielectric constant to the polarizability, which is what the Clausius-Mosotti equation ( or relation ) is all about, you must consider that the results will depend on the relation that holds between the macroscopic electric field and the local electric field.

Now and on

Now he saw that both the man and woman were moving slowly and irregularly, staggering, as if they found it a struggle to remain on their feet.

Now, Mis-ter McBride '', said Lord, and he laid a firmly restraining hand on the field boss's arm.

`` Now, hold on, damn it ; ;

She placed her palms, fingers outspread, on the desk in an odd gesture as if to say, `` Now, what next ''??

Now let us imagine a wing of B-52's, on alert near their `` positive control ( or fail-safe ) points '', the spots on the map, many miles from Soviet territory, beyond which they are forbidden to fly without specific orders to proceed to their targets.

Now the detective must save his own skin by informing on the girl he loves, who is also the real murderer.

Now all his desires centered on `` rediscovering and singing of the prosaic and yet beautiful world of men and objects so long barred from me by a barbed wire fence ''.

Now the riflemen and the Marylanders followed up their beginning and closed in on the British, giving them another telling round of fire.

Now he knew that the moment illuminated by the vision on the train would have to be approached.

Now times have changed, and I must pretend that hair doesn't grow on my face.

Now, Adam, in the gray light of afternoon, stared across at the hut opposite his tent, and thought of Simms Purdew lying in there in the gloom, snoring on his bunk, with the fumes of whisky choking the air.

Now she could let out the three parakeets without fear they would be stepped on or that Stowey would let them out one of the doors ; ;

Now when Henri was just 12 he was only 4' 10'' '' tall and weighed an astounding 72 pounds, and his greatest desire was to pack on some weight.

Now when Henri has completed four complete Push-Pull Super-Sets No. 1, the professor allows him about a five-minute rest period before starting him on four complete Push-Pull Super-Sets No. 2.

Now place 12 pieces 1/2'' '' sq. on this edge as we did before and space them with the 5-3/4'' '' long `` tappets '', as they are called.

The policeman got a confused, funny look on his face, and he had answered kind of politely, `` Now, look here, lady: I know you got to entertain these kids and all.

`` Now '', said Arlene, eventually, making them both sit in formation on a big root of a live oak, the sort of root that divided itself and made their bottoms sag down and feel comfortable.

Now Af and Af must both be tangent points on the T component in the f-plane ; ;

Now the only way in which all curves of the image family of Af can pass through a fixed point is to have a generator of Af which is not a secant but a tangent of **zg, for then any point on such a generator will be transformed into the point of tangency.

Now consider the transformation of the lines of a bundle with vertex, P, on **zg which is effected by the involution as a whole.

Now, with virtually every writer, not only was the European origin of public law acknowledged as a historical phenomenon, but the rules thus established by the advanced civilizations of Europe were to be imposed on others.

Now on the subjectivist view, this answer is ruled out.

Now, looming on the horizon are such things as estimated totals, calculated risks and I.B.M. machines.

Now a distinguished old man called on nine divinities to come and join us.

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