Each will decide on his own course somewhere between these two extreme cases according to the sense of responsibility which is determined for him by the particular circumstances of his own life.

Even in these cases we should promote self-help by making it clear that our supporting assistance is subject to reduction and ultimately to termination.

In several significant cases, such as India, a decade of concentrated effort can launch these countries into a stage in which they can carry forward their own economic and social progress with little or no government-to-government assistance.

In most cases, these soils are taken up as liquids through capillary action.

While the particular limits of these groupings may seem artificially arbitrary, they do fairly express a corresponding grouping of more variable material, and they eventuate also in five classes, along a similar scale, containing approximately equal numbers of cases, namely 19, 14, 15, 11, 12 in Athabascan.

There is a common problem behind most of these federal question and diversity cases.

By no means are these isolated cases.

In these cases a graduate may enter directly into an apprentice program, saving a year because of his vocational courses in grades 11 and 12.

`` This very seldom happens in this class or in other cases, and of course all of these matters led to a volume and an expense of the record beyond what ordinarily would occur ''.

If we add to these contacts with friendly members the `` contacts with an organization of the church '' ( 11.2 per cent of the cases ), then a substantial two thirds of all recruitment is through friendly contact.

Wexler had charged the precinct judges in these cases with `` complementary '' miscount of the vote, in which votes would be taken from one candidate and given to another.

In these cases, the turnpike managements have had to turn to toll-rate increases, or to costly improvements such as extensions or better connections with other highways.

In slow-onset, chronic bilateral cases of vestibular dysfunction, these characteristic manifestations may be absent, and dysequilibrium may be the sole presentation.

It has been said that twelve cases related in The Labours of Hercules ( 1947 ) must refer to a different retirement, but the fact that Poirot specifically says that he intends to grow marrows indicates that these stories also take place before Roger Ackroyd, and presumably Poirot closed his agency once he had completed them.

further extends these results to arbitrary-order central moments, for the incremental and the pairwise cases.

From a modern perspective these figures may seem small, but in the world of Greek city-states Athens was huge: most of the thousand or so Greek cities could only muster 1000 – 1500 adult male citizens and Corinth, a major power, had at most 15, 000 but in some very seldom cases more.

Both of these processes were in most cases brief and formulaic, but they opened up in the possibility, if some citizen wanted to take some matter up, of a contest before a jury court.

In cases where antibacterials have been suggested to affect the efficiency of birth control pills, such as for the broad-spectrum antibacterial rifampicin, these cases may be due to an increase in the activities of hepatic liver enzymes causing increased breakdown of the pill's active ingredients.

In an article he submitted for the medical journal The Lancet during World War I, Fleming described an ingenious experiment, which he was able to conduct as a result of his own glass blowing skills, in which he explained why antiseptics were killing more soldiers than infection itself during World War I. Antiseptics worked well on the surface, but deep wounds tended to shelter anaerobic bacteria from the antiseptic agent, and antiseptics seemed to remove beneficial agents produced that protected the patients in these cases at least as well as they removed bacteria, and did nothing to remove the bacteria that were out of reach.

( It may be noted that the current American system places periods and commas outside the quotation marks in these cases anyway.

In most cases, these numbers remain undisclosed to prevent abuse, but MCI maintains this widely-published, toll-free ANAC: 1-800-437-7950.

Stephanos Bibas writes in a 2003 analysis for Cornell Law Review that Judge Frank H. Easterbrook and a majority of scholars " praise these pleas as efficient, constitutional means of resolving cases.

In most cases, these turretless vehicles also presented a lower profile as a target for the enemy.

It is questionable that the results would be different if cases were conducted under the differing approaches ; in fact no statistics exist that can show whether or not these systems would come to the same results.

A key enabling factor for these applications is the fact that the DFT can be computed efficiently in practice using a fast Fourier transform ( FFT ) algorithm.

Instead of directly modifying an FFT algorithm for these cases, DCTs / DSTs can also be computed via FFTs of real data combined with O ( N ) pre / post processing.

In the case of a discrete probability distribution, the mean of a discrete random variable x is computed by taking the product of each possible value of x and its probability P ( x ), and then adding all these products together, giving.

All these definitions are equivalent, as they agree on which specific functions f can be computed by an oracle machine with oracle A.

Higher order terms can be straightforwardly computed for the evolution operator but these terms display diagrams containing the following simpler ones

The red lines in these three graphs correspond to the simulated images above, and the green lines were computed by applying the corresponding parameters to the squared Bessel function given above.

Encryption under ElGamal requires two exponentiations ; however, these exponentiations are independent of the message and can be computed ahead of time if need be.

At runtime the applicable operations to these objects are computed based on the class hierarchy and the available operations ( commands ).

In opponent color spaces in which two of the axes are perceptually orthogonal to lightness, such as the CIE 1976 ( L *, a *, b *) ( CIELAB ) and 1976 ( L *, u *, v *) ( CIELUV ) color spaces, hue may be computed together with chroma by converting these coordinates from rectangular form to polar form.

Instead, they identify constructs such as these, and substitute the computed values at compile time ( in this case, 2, 048, 000 ), usually in the intermediate representation ( IR ) tree.

The DoF computed using these conventions

Regardless of how these figures were computed, there must have been substantial weight-saving gains through reduced steel usage in the design, given the unavoidable extra weight of glass.

For a sample of size n, the n raw scores are converted to ranks, and ρ is computed from these:

The key point is that these FFTs are not of the same length N: such a convolution can be computed exactly from FFTs only by zero-padding it to a length greater than or equal to 2N – 1.

Unlike the other examples, the volume of these shapes is not rigorously computed in any of his other works.

All these symptoms are non-specific and can also arise with a range of problems other than cancer, and a diagnosis can only be made following confirmatory investigations such as computed tomography ( CT ) scans, laparotomy and / or a biopsy of the ovary.

For each logic family, typically a " standard " input is defined by the manufacturer with maximum input currents at each logic level, and the fan-out for an output is computed as the number of these standard inputs that can be driven in the worst case.

The sum of the cubes is the square of that Piles of these with identical balls also be computed.

The trick to avoid the explicit mapping is to use learning algorithms that only require dot products between the vectors in V, and choose the mapping such that these high-dimensional dot products can be computed within the original space, by means of a kernel function.

Given all this information, the probability of the observer having spotted a girl given that the observed student is wearing trousers can be computed by substituting these values in the formula:

This can be computed from a formula for the argument, most simply via arctan ( y / x ) ( y / x is the slope of the line passing through ( x, y ), and arctan converts slope to angle ), recognizing 1 /( x < sup > 2 </ sup >+ y < sup > 2 </ sup >) as corresponding to the derivative of arctan, which is 1 /( x < sup > 2 </ sup >+ 1 ) ( these agree on the line y = 1 ).

The final character of a ten digit International Standard Book Number is a check digit computed so that multiplying each digit by its position in the number ( counting from the right ) and taking the sum of these products modulo 11 is 0.

Luckily, these inverse trigonometric functions do not need to be computed.

Each of these components is modeled by a probability distribution function and its coding length is computed as follows: