`` We know Penny spent some -- and Carmer must have dropped a few dollars getting that load on ''.

We don't know this guy ''.

We know that much is made of the multiplicity and ambiguity of the identities that cluster around the key symbol of the Jew.

We know that the Saxon Shore was a phenonenon of late Roman defensive policy ; ;

We also know that the Saxon Shore as reflected in the Notitia was created as a part of the Theodosian reorganization of Britain ( post A.D. 369 ).

We will know, and He will know, to whom it is rendered, what the birds would ask:

We out here don't see enough of the conference to know he is being abused.

`` We all know that Jake Camaret and the woman are brazenly living together.

We are, as we know, utterly dependent on the quality of advice we get ; ;

We want to know when the Potlatches telephone exactly how many they are planning to bring, so that we won't end up with a splashing mob that looks like Coney Island in August.

We know now that a 15-degree differential in temperature is the maximum usually desirable, and accurate controls assure the comfort we want.

We know, too, that health is never harmed by summer cooling.

We didn't even know them till about a month after we moved -- at that time, they had called on us, after I met Fran at a PTA meeting, and had taken us in hand socially.

We want to know the number of people going to the mountains.

We know that in the C-plane both C and Af are analytic.

We now know that things rarely ever work out in such cut-and-dried fashion, and that car loadings, while perhaps interesting enough, are nevertheless not the magic formula that will always turn before stock prices turn.

We, ourselves, are always eager to know how others feel about us and the way in which we live.

We know that the number of radio and television impulses, sound waves, ultra-violet rays, etc., that may occupy the very same space, each solitary upon its own frequency, is infinite.

We know that actors can learn to portray a wide variety of character roles.

We have learned from earthquakes much of what we now know about the earth's interior, for they send waves through the earth which emerge with information about the materials through which they have traveled.

We do know that Morse left the house before nine o'clock.

`` We don't want to know whether he's dead, yet.

`` We won't know the full amount until we get a full report '', Wagner said.

We should not allow the image of an immanent end brought about indirectly by our own action in the continuing human struggle for a just endurable order of existence to blind us to the fact that in some measure accelerating the end of our lease may be one consequence among others of many other of mankind's thrusts toward we know not what future.

We make several assumptions to derive the momentum balance equation for an acoustic medium.

We know that is opaque and thus follows that is opaque, so in the above equation, each operator can be written as a convex combination:

We note that y = 0 is not allowed in the transformed equation.

We solve the transformed equation with the variables already separated by Integrating,

We now know that the above equation is true modulo integer multiples of, but Cotes missed the fact that a complex logarithm can have infinitely many values due to the periodicity of the trigonometric functions.

We can show a waveform is periodic by finding some period T for which the following equation is true:

We can solve the differential equation using separation of variables:

We have arrived at the equation:

We may substitute the first equation into the second and, using the trigonometric identity

We also note that a two-body Dirac equation composed of a Dirac operator for each of the two point particles interacting via the Coulomb interaction can be exactly separated in the ( relativistic ) center of momentum frame and the resulting ground state eigenvalue has been obtained very accurately using the Finite element methods of J. Shertzer.

We may write the time-independent Schrödinger equation,

We can solve the differential equation in the coordinate basis, using a spectral method.

We wish to find a point which is on both planes ( i. e. on their intersection ), so insert this equation into each of the equations of the planes to get two simultaneous equations which can be solved for and.

We can prove the cancellation law easily using Euclid's lemma, which generally states that if an integer b divides a product rs ( where r and s are integers ), and b is relatively prime to r, then b must divide s. Indeed, the equation

We now use the assumption that is large compared to other scales in the problem ; we therefore neglect the last term in the equation, and get a 1-dimensional diffusion equation:

We re-arrange the equation into:

We can then simplify the Phong equation to:

We can re-write the equation to:

We can rewrite the equation as:

We arrive at the following equation from equation 1 and 2

We may assume that the function is non-negative, since only its absolute value enters in the equation.