If `` Jack the Courtier '' is really to be taken as Swift, the following remark is obviously Steele's comment on Swift's change of parties and its effect on their friendship: `` I assure you, dear Jack, when I first found out such an Allay in you, as makes you of so malleable a Constitution, that you may be worked into any Form an Artificer pleases, I foresaw I should not enjoy your Favour much longer ''.

Mr. Richard Preston, executive director of the New Hampshire State Planning and Development Commission, in his remarks to the Governors Conference on Industrial Development at Providence on October 8, 1960, warned against the fallacy of attempting to attract industry solely to reduce the tax rate or to underwrite municipal services such as schools when he said: `` If this is the fundamental reason for a community's interest or if this is the basic approach, success if any will be difficult to obtain ''.

If the German people favor such a settlement we should not oppose Germany following the example of Austria.

If only this could be done more often -- with such heartening results -- many of the earth's `` big problems '' would shrink to the insignificances they really are.

If the railroads, for example, regularly slaughtered 25,000 passengers each year, the high priests of the cult would have cause to tremble for their personal safety, for such a holocaust would excite demands for the hanging of every railroad president in the United States.

If the last day ( due date ) for performing any act for tax purposes, such as filing a return or making a tax payment, etc., falls on Saturday, Sunday, or a legal holiday, you may perform that act on the next succeeding day which is not a Saturday, Sunday, or legal holiday.

) If your employer reimburses you for expenses incurred, you deduct such expenses if they otherwise qualify.

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 the background of design is too smooth, or you wish to create a wood-grained effect, it may be added at this time with a dull tool such as the handle of a fine paintbrush.

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

If you would feel happier with full collision insurance, there is a small additional charge, again varying from country to country and depending on the term of such insurance.

If such is the case, the particles within a distance of about Af of the Earth will have, relative to the Earth, a kinetic energy less than their potential energy and they will be captured into orbits about the Earth.

If, for instance, such a change is produced by one or a few insulin comas or electroshocks, previously inhibited conditioned reactions reappear.

If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.

If the vertex is at Af, and if the interior of C is on the left as one moves in the direction of increasing t, then every such corner can be found from the curve obtained by rotating C clockwise through 90-degrees about the vertex.

If such a child scored 3.0, his discrepancy score would be -.5, representing of one year of under-achievement.

If such an unlikely transaction were to take place, it would more logically be accomplished by a stock purchase, followed by the prosecution of the claim by the wholly-owned subsidiary, followed by liquidation.

If the bottom name in each column did not have a responsible executive identified, the next name above which identified such a responsible executive was substituted.

If there were more such cases, it would be easier to answer the question whether the policy-makers favor their own social classes.

If the compiler does encounter such statements, a warning message will be issued.

If the polarities are correct, the platform rotates in such a direction as to reduce the accelerometer output to zero.

If an expensive and specialized piece of machinery is needed -- such as a spray rig, a combine, or a binder -- it is better to pay someone with a machine to do the work.

( 2 ) If earthquakes do occur at such depths, why not deeper??

If she has not had such experiences, the female's normal adolescent degree of indecision will be compounded.

`` If I thought you were serious about going back to school, that you'd learned something from your experiences here and at Hanover -- well, I might consider such an offer.

If one eigenvalue is negative ( i. e., an imaginary frequency ), then the stationary point is a transition structure.

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

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