If you take the one, you'd better take both ''.

`` If you can conveniently let me have twenty dollars '', he wrote one friend in 1791 when he was Secretary of the Treasury.

If one dancer slaps another, the victim may do a pirouette, sit down, or offer his assailant a fork and spoon.

If a child had a single drop of Negro blood, he would revert to the ancestral line which, except as slaves under a superior race, had not made one step of progress in 3,000 years.

If we examine the three types of change from the point of view of their internal structure we find an additional profound difference between the third and the first two, one that accounts for the notable difference between the responses they evoke.

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 within one year you can make a success out of the American, you can practically name your own salary thereafter.

If it is not one of his best books, it can only be considered unsatisfactory when compared with his own Garibaldi.

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

If any one of them has any power to veto the Secretary General's decisions the nature of the organization will have changed.

If he can bounce back with one of those 25 home runs years, the club will have to be better off offensively.

If they do meet and recognize one another, slap backs and embrace, the moment soon is done.

If either one ever started making promises, there is no telling where the promises would end.

If one follows the reports of the Congress, one finds that there still seems considerable uncertainty in the minds of the leaders themselves about what exactly to do in this matter.

Somebody, got to be somebody If I don't put my two cents in soon, somebody else will I know they're waitin only for one thing: for the bastards what done it to be nailed.

If we had, then one of us would have had to go instead.

`` If I catch you one more time down here without stockings '' --

If, for some reason such as economy, we are not going to develop aircraft nuclear propulsion with a sense of national urgency, then we should turn our effort to developing jet engines with a thrust-to-weight ratio of 12 or 15 to one.

If you don't own a planer and don't want to buy one, it's well worth renting.

Note: If 1/2-inch panel board is used inside and out, or 5/8-inch one side and 3/8-inch the other, and 1/8-inch glass is used, stock lumber in Af, Af, and Af can be used in making the glass panels.

If you have a full-time doctor now, can he be replaced with a part-time doctor or one who serves on a fee-per-case basis only??

If you use one of the new year-round cooling system fluids such as `` Dowguard '' be sure to check it.

If you run into excess plug fouling on one truck, check to be sure that the rig has a thermostat.

If more than one eigenvalue is negative, then the stationary point is a more complex one, and is usually of little interest.

If such an eigenvalue is not stable, the dynamics of this eigenvalue will be present in the closed-loop system which therefore will be unstable.

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 n is odd, there is at least one real eigenvalue, + 1 or − 1 ; for a 3 × 3 rotation, the eigenvector associated with + 1 is the rotation axis.

If the system is a flow and the trajectory does not converge to a single point, one exponent is always zero — the Lyapunov exponent corresponding to the eigenvalue of with an eigenvector in the direction of the flow.

If a vector v of size n happens to be an eigenvector of A with eigenvalue λ, in other words if, then

If we are given the components of the strain tensor in an arbitrary orthonormal coordinate system, we can find the principal strains using an eigenvalue decomposition determined by solving the system of equations

If the system is in state ψ, then immediately after measurement the system will occupy a state which is an eigenvector e of A and the observed value λ will be the corresponding eigenvalue of the equation A e

If T is a compact operator, then it can be shown that any nonzero λ in the spectrum is an eigenvalue.

If we specifically choose the Euclidean norm on both R < sup > n </ sup > and R < sup > m </ sup >, then we obtain the matrix norm which to a given matrix A assigns the square root of the largest eigenvalue of the matrix A < sup >*</ sup > A ( where A < sup >*</ sup > denotes the conjugate transpose of A ).

If an algebra A acts on a vector space V over F to any simultaneous eigenspace corresponds an algebra homomorphism from A to F assigning to each element of A its eigenvalue.

If an observable is measured and the result is a certain eigenvalue, the corresponding eigenvector is the state of the system immediately after the measurement.

If an eigenvalue algorithm does not produce eigenvectors, a common practice is to use an inverse iteration based algorithm with set to a close approximation to the eigenvalue.

If the dynamic is given by a differentiable map f then a point is hyperbolic if and only if the differential of ƒ < sup > n </ sup > ( where n is the period of the point ) has no eigenvalue on the ( complex ) unit circle when computed at the point.

If the dimension, n, is odd, there will be a " dangling " eigenvalue of 1 ; and for any dimension the rest of the polynomial factors into quadratic terms like the one here ( with the two special cases noted ).

# If λ ∈ σ ( T ) is not an eigenvalue and the range of T − λ, Ran ( T − λ ), is dense in X, λ is said to be in the continuous spectrum, σ < sub > c </ sub >( T ), of T.

If is an eigenvalue, we have:

If λ is an eigenvalue of a matrix A

If α < sub > 1 </ sub > = 0. 852 then the real part of one of the complex eigenvalue pair becomes positive and there is a strange attractor.

Its simplest combinatorial version is due to Zuk: let be a discrete group generated by a finite subset S, closed under taking inverses and not containing the identity, and define a finite graph with vertices S and an edge between g and h whenever g < sup >− 1 </ sup > h lies in S. If this graph is connected and the smallest non-zero eigenvalue of its Laplacian is greater than ½, then has property ( T ).

If at least one eigenvalue has negative real part and at least one has positive real part, the equilibrium is a saddle point.

If equality holds ( i. e. if μ = ρ ( A ) e < sup > iφ </ sup > is eigenvalue for B ), then B