He said: `` If it's all right with you, Mr. Morgan, I'll sleep out here on the couch.

If, when this was all over, she found the words to tell him about it, she wondered if he would ever understand.

If I hadn't got Nate stopped when I did, my duds'd all be shot plumb to hell!!

`` If Blue Throat has his way he'll keep us all cooped up in here for days '', he said.

If communications work, his decision would be instantly known in all command posts that would originate the actual go order.

If the Union conceded this to them, the same right must be conceded to each remaining state whenever it saw fit to secede: This would destroy the federal balance between it and the states, and in the end sacrifice to the sovereignty of the states all the liberty the citizens had gained by their Union.

If there were only darkness, all would be clear.

If there were only the mess, all would be clear ; ;

If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.

If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.

If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

If his scholarship and formal musicianship were not all they might have been, Mercer demonstrated at an early age that he was gifted with a remarkable ear for rhythm and dialect.

If one finger is raised against the authorities, all our moral power will vanish.

If, as Reid says, `` nearly all his poetry was produced when he was not taking opium '', there may be some reason to doubt that he was under its influence in the period from 1896 to 1900 when he was writing the poems to Katie King and making plans for another book of verse.

`` If once they become inattentive to the public affairs '', Jefferson said, `` you and I, and Congress and assemblies, judges and governors, shall all become wolves ''.

If it will simply delay the debates until the qualifications are closed next spring, and then carry all the candidates on a tour of debates, it can provide a service to the state.

If the President of the United States really feels he won himself a `` lousy job '', then heaven help us all.

If we go all gooey over this newest Castro ( until he proves he isn't ) we've got rocks in our heads.

`` If the day should ever come that foreign invaders swarm ashore along the Gulf Coast '', the account reads, `` they can count on heavy opposition from a group of commando-trained telephone employees -- all girls.

If we grasp this orientation as a key, our national conduct in all of the events here mentioned becomes intelligible.

If it is not enough that all of our internationalist One Worlders are advocating that we join this market, I refer you to an article in the New York Times' magazine section ( Nov. 12, 1961 ), by Mr. Eric Johnston, entitled `` We Must Join The Common Market ''.

If Joe doesn't show up, we'll all be back here at 0600 hours.

If we could use all the small airfields we have in this country, we could disperse our strategic aircraft by a factor of 10 or more.

If the points aren't thrown all the way, the Turnout cannot be locked, and in turn, the signal cannot be cleared.

If you have a 6- to 8-inch drain pipe, you may easily wash out all the debris when the grate is out.

If the eigenvalues are all positive, then the frequencies are all real and the stationary point is a local minimum.

If λ < sub > 1 </ sub >, ..., λ < sub > ν </ sub > are the eigenvalues of J they will be resonant if one eigenvalue is an integer linear combination of two or more of the others.

If the operator's spectrum is discrete, the observable can only attain those discrete eigenvalues.

If ρ acts on a finite dimensional Hilbert space and has eigenvalues

# If n = 2k + 1, then the action of the unit vector u on the left ideal decomposes the space into a pair of isomorphic irreducible eigenspaces ( both denoted by Δ ), corresponding to the respective eigenvalues + 1 and − 1.

If a and b are positive, the eigenvalues are all positive, and the solutions are trigonometric functions.

If the affine transformation can be decomposed into isometries and a transformation given by a diagonal matrix, we have directionally differential scaling and the diagonal elements ( the eigenvalues ) are the scale factors in two or three perpendicular directions.

If is an eigendecomposition where the columns of U are unit eigenvectors and Λ is a diagonal matrix of the eigenvalues, then we have

If there are some positive and some negative eigenvalues, then the critical point is a saddle point, and if none of these cases hold ( i. e., some of the eigenvalues are zero ) then the test is inconclusive.

If the factor i were absent, the H matrix would be antihermitian and would have purely imaginary eigenvalues, which is not the traditional way quantum mechanics represents observable quantities like the energy.

If, for whatever reason, two eigenvalues are close so that difference become small, the corresponding term in the sum will become disproportionately large.

If the linear transformation is represented by a symmetric 3-by-3 matrix, then the eigenvectors of the matrix are orthogonal ( due to the spectral theorem ) and represent the directions of the axes of the ellipsoid: the lengths of the semiaxes are given by the eigenvalues.

If are the eigenvalues of, then the Lyapunov exponents are defined by

< li > If A is a square matrix, then its eigenvalues are equal to the eigenvalues of its transpose.

If the set of eigenvalues for a symmetric operator is non empty, and the eigenvalues are nondegenerate, then it follows from the definition that eigenvectors corresponding to distinct eigenvalues are orthogonal.

If boundary conditions are applied to this system ( e. g., at two physical locations in space ), then only certain values of satisfy the boundary conditions, generating corresponding discrete eigenvalues.

If all eigenvalues of A are non-zero, then it is an ellipsoid or a hyperboloid.

If all the eigenvalues are positive, then it is an ellipsoid ; if all the eigenvalues are negative, it is an image ellipsoid ; if some eigenvalues are positive and some are negative, then it is a hyperboloid.