Don't like to bother no one unless we have to, which I figger we do, in your case.

But in our case -- and neither my wife nor I have extreme views on integration, nor are we given to emotional outbursts -- the situation has ruined one or two valued friendships and come close to wrecking several more.

Now we can argue that the irresistible fate of Oedipus Rex was nothing more than the irresistible unconscious longings of Oedipus projected outward, but this externalization of unconscious conflict makes all the difference between a story and a clinical case history.

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.

There may be a case of this sort, but it is not one we wish to argue, here.

Just as in the case of every prodigy child, we must watch for the efficacy of my teaching to show up in the future -- if he should master all the strenuous exercises I inflicted on him.

We were given a job and we carried it out, and later, his case was taken up by the Disciplinary Committee.

We can be virtuous only if we control our lower natures, the passions in this case, and strengthen our rational side ; ;

But, here again, comparative benchmarks are lacking, and we do not know, in any case, what measure of profoundity and intensity to expect from healthy, young, secure and relatively inexperienced persons ; ;

In such a case, however, we would encourage the recipient country to get on with its programing task, supply it with substantial technical assistance in performing that task, and make it plain that an expansion or even a continuation of our assistance to the country's development was conditional upon programing progress being made.

Here, for the case of squares inscribed in plane curves, we remove the restriction to convexity and give certain other results.

Continuing with the case in which **zg is a Af curve on a quadric Q, we first observe that the second regulus of Q consists precisely of the lines which join the two free intersections of **zg and the planes through any one of the multiple secants.

Are we prepared to say that in that case nothing bad occurred in the sense in which we said it did??

If anyone asked us, after we made the remark that the suffering was a bad thing, whether we should think it relevant to what we said to learn that the incident had never occurred and no pain had been suffered at all, we should say that it made all the difference in the world, that what we were asserting to be bad was precisely the suffering we thought had occurred back there, that if this had not occurred, there was nothing left to be bad, and that our assertion was in that case mistaken.

This is not, however, the case, and development is a term which we can apply to Hardy only in a very limited sense.

This is the principle which we will invoke in every case to set up a functional equation.

Our discussion of this involves using Erik Erikson's schema of `` identity vs. identity diffusion '' as a conceptual tool in superimposing a few common denominators onto the diverse personality and family configurations of the unwed mothers from whose case histories we quoted earlier.

The American liberal may, in the world of to-day, have a strong case ; ;

It may establish the relation of the figure of the dancer to light and color, in which case changes in the light or color will set off a kaleidescope of visual designs.

And in any case, answers may clarify but they do not change anything.

In connection with any claim decided by the Commission pursuant to this Title in which an award is made, the Commission may, upon the written request of the claimant or any attorney heretofore or hereafter employed by such claimant, determine and apportion the just and reasonable attorney's fees for services rendered with respect to such claim, but the total amount of the fees so determined in any case shall not exceed 10 per centum of the total amount paid pursuant to the award.

in the case of any assignment of an award, or any part thereof, which is made in writing and duly acknowledged and filed, after such award is certified to the Secretary of the Treasury, payment may, in the discretion of the Secretary of the Treasury, be made to the assignee, as his interest may appear.

Whenever the Secretary of the Treasury, or the Comptroller General of the United States, as the case may be, shall find that any person is entitled to any such payment, after such payment shall have been received by such person, it shall be an absolute bar to recovery by any other person against the United States, its officers, agents, or employees with respect to such payment.

All payments authorized under Section 7 of this Title shall be disbursed from the proper fund, as the case may be, and all amounts covered into the Treasury to the credit of the aforesaid funds are hereby permanently appropriated for the making of the payments authorized by Section 7 of this Title.

Position may not be everything, but in the case of a pool it can certainly contribute difficulties, social and/or physical.

Westinghouse has a similar system, with two classifications representing various levels of competence on the strictly technical side: consulting engineer or scientist, as the case may be, and advisory engineer or scientist.

Such classifications may be called `` somewhat advanced '' or `` somewhat delayed '', as the case may be, reserving `` moderate '' for dots upon or close to the mean.

Another case may be given in illustration of a successful use of analysis, and also of the employment of a procedure for intensive analysis.

When this is the case, the appropriate section of this manual will indicate that `` Continuation Cards '' may be used.

Statistically this has represented a loss to the nation, although one must admit that in an individual case the decision in retrospect may have been a wise one.

We may now take up for consideration a hard case which seems to require either no action employing economic pressure or else action that would seem to violate the principles set forth above.

You may think we didn't need Nancy and Jean, but you always get what you can when you can, and we had no guarantee that a fingerprint record on them couldn't be useful before we were through with this case.

There was no directive for it -- the Security Council's resolution had not mentioned political matters, and in any case the United Nations by the terms of its charter may not interfere in the political affairs of any nation, whether to unify it, federalize it or Balkanize it.

Presumably, if the reverse is the case and the good effect is more certain than the evil result that may be forthcoming, not only must the good and the evil be prudentially weighed and found proportionate, but also calculation of the probabilities and of the degree of certainty or uncertainty in the good or evil effect must be taken into account.

The arithmetic mean may be misinterpreted as the median to imply that most values are higher or lower than is actually the case.

In tort, equity, or other civil matters either party to a previous case may file an appeal.

However, certain critical interlocutory court orders, such as the denial of a request for an interim injunction, or an order holding a person in contempt of court, can be appealed immediately although the case may otherwise not have been fully disposed of.

It may, in addition, send the case back (" remand " or " remit ") to the lower court for further proceedings to remedy the defect.

More rarely, a script may have separate letters for tones, as is the case for Hmong and Zhuang.

In this case, we might compute T = A *( B * D ) only once and simply blend T * C to produce F, a single operation.

Most early signature schemes were of a similar type: they involve the use of a trapdoor permutation, such as the RSA function, or in the case of the Rabin signature scheme, computing square modulo composite n. A trapdoor permutation family is a family of permutations, specified by a parameter, that is easy to compute in the forward direction, but is difficult to compute in the reverse direction without already knowing the private key.

In the case when the coefficient ring is a field of characteristic 0, the Lagrange inversion formula provides a powerful tool to compute the coefficients of g, as well as the coefficients of the ( multiplicative ) powers of g.

V. Yatsko's interpretation ( Y-interpretation ) can be effectively used to compute threshold values in case it is necessary to distinguish subsets within a set of objects ( e. g. successful / unsuccessful applicants, developed / underdeveloped regions, etc.

Although aggregate bandwidth for special case data shuffling could be very high, the general case has very poor performance relative to the compute bandwidth.

Error correction is implemented by using more digits ( bits in case of a binary channel ) than the number strictly necessary for the samples, and having the receiver compute the most likely valid message that could have resulted in the received one.

For example, the p < sub > i </ sub > may be the factors of the square-free factorization of g. When K is the field of the rational numbers, as it is typically the case in computer algebra, this allows to replace factorization by greatest common divisor to compute the partial fraction decomposition.

Furthermore, there is often no need to compute directly during computation, as is the case with support vector machines.

A more complicated formula that is accurate for all distances is the following special case ( a sphere, which is an ellipsoid with equal major and minor axes ) of the Vincenty formula ( which more generally is a method to compute distances on ellipsoids ):

When programming a computer, one should use the function rather than the ordinary arctangent function (), in order to simplify handling of the case where the denominator is zero, and to compute unambiguously in all quadrants.

In Canny's original paper, the derivation of the optimal filter led to a Finite Impulse Response filter, which can be slow to compute in the spatial domain if the amount of smoothing required is important ( the filter will have a large spatial support in that case ).

A quantum computer can simulate a TQFT, and thereby approximate the Jones polynomial, which as far as we know, is hard to compute classically in the worst case scenario.

However, if they do not commute, then the above equality does not necessarily hold, in which case we can use the Baker – Campbell – Hausdorff formula to compute e < sup > X + Y </ sup >.

In this case, even if we're allowed to use all the basic arithmetic operations, including multiplication, no reduction exists in general, because we may have to compute an irrational number like from rational numbers.

In the case of a closed volume, it is easy to compute the amount of water needed.

In the case of symmetric-key algorithm cryptosystems, an adversary must not be able to compute any information about a plaintext from its ciphertext.

Because the adversary possesses the public encryption key in the above game, a semantically secure encryption scheme must by definition be probabilistic, possessing a component of randomness ; if this were not the case, the adversary could simply compute the deterministic encryption of and and compare these encryptions with the returned ciphertext to successfully guess the oracle's choice.

Moreover in the labelled case it is evident from the formula that we may replace by the atom z and compute the resulting operator, which may then be applied to EGFs.

Alternatively, one can compute this via absolute Betti number ( absolute homology – not relative ) by identifying ( gluing together ) all terminal nodes on a given component ( or equivalently, draw paths connecting the exits to the entrance ), in which case ( calling the new, augmented graph, which is ), one obtains:

This is the case that is of real importance: the higher homotopy groups π < sub > i </ sub >( S < sup > n </ sup >), for i > n, are surprisingly complex and difficult to compute, and the effort to compute them has generated a significant amount of new mathematics.

In the case of ISWIM, if none of the alternatives could be used, the value was to be undefined, which was defined to never compute into a value.