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.

I granted this might be so, but found the result to be even more attention to form than was the case previously.

He appealed to us to bring his case to the attention of the authorities that justice might be done.

It could reach key tactical points faster than infantry and destroy them or hold them as the case might be for the foot soldier.

In any case, she told Thompson that she saw no reason why he might not see Katie again, `` now that this frank explanation has been made & no one can misunderstand ''.

Then the various officers of the college might take up the case.

But if she were just having a normal case of pre-nuptial jitters such a question might frighten her out of a really good marriage.

One might expect some spread of the disease in this case resulting in increased effectiveness of the attack.

And there is a way in which he might hold that badness did in this case precede our own feeling of disapproval without belonging to the pain itself.

There was, therefore, more musical substance in the concert than might have been the case otherwise.

Depending on the particular legal rules that apply to each circumstance, a party to a court case who is unhappy with the result might be able to challenge that result in an appellate court on specific grounds.

This might be the proper standard of review, for example, if the lower court resolved the case by granting a pre-trial motion to dismiss or motion for summary judgment which is usually based only upon written submissions to the trial court and not on any trial testimony.

Thus, a Rabbi, a Catholic priest, and an agnostic might agree that, in this particular case, the best approach is to withhold extraordinary medical care, while disagreeing on the reasons that support their individual positions.

For example a two dimensional array with three rows and four columns might provide access to the element at the 2nd row and 4th column by the expression: ( in a row major language ) and ( in a column major language ) in the case of a zero-based indexing system.

As the election to maintain an accused person's right to silence prevents any examination or cross-examination of that person's position, it follows that the decision of counsel as to what evidence will be called is a crucial tactic in any case in the adversarial system and hence it might be said that it is a lawyer's manipulation of the truth.

At the durbar on July 22, 1880, Abdur Rahman was officially recognized as Amir, granted assistance in arms and money, and promised, in case of unprovoked foreign aggression, such further aid as might be necessary to repel it, provided that he align his foreign policy with the British.

Pfanzagl's axiomatization was endorsed by Oskar Morgenstern: " Von Neumann and I have anticipated " the question whether probabilities " might, perhaps more typically, be subjective and have stated specifically that in the latter case axioms could be found from which could derive the desired numerical utility together with a number for the probabilities ( cf.

Whenever a confusion between the two kinds of definitions might arise it can be avoided by referring to the more general definition and by reintroducing the erased parameter: writing B < sub > m </ sub >( 0 ) in the first case and B < sub > m </ sub >( 1 ) in the second will unambiguously denote the value in question.

Ultra vires gives a legal justification for the forced cessation of such action, which might be enforced by the people with the support of a decision of the judiciary, in a case of judicial review.

Collecting counterfeits and forgeries is a controversial area because of the possibility that counterfeits might someday reenter the coin market as authentic coins, but US statutory and case law do not explicitly prohibit possession of counterfeit coins.

These are usually ' temps ' ( temporary workers ) or consultants who, depending on the project and their experience, might be brought on to lead a task for which the skill-set did not exist within the company, or in the case of a temp, in the vernacular sense, to perform busy-work or an otherwise low-skilled repetitive task for which an employee is deemed too valuable to perform.

While a principle-based approach might claim that lying is always morally wrong, the casuist would argue that, depending upon the details of the case, lying might or might not be illegal or unethical.

In legal reasoning, for example, this might be a precedent case, such as premeditated murder.

Hence the Roman censors might brand a man with their " censorial mark " ( nota censoria ) in case he had been convicted of a crime in an ordinary court of justice, and had already suffered punishment for it.

In this case we may compute S = A * B once and save this result.

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.