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

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.

But if true, it was the case of which he had dreamed, the case which would throw him into headlines all over America as the hero of a great murder trial.

But if this is the case, then an arbitrary pencil of lines having a point, P, of **zg as vertex is transformed into a ruled surface of order Af having Af generators concurrent at P.

For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.

We now observe that the case in which **zg is a Af curve on a quadric is impossible if the complex of singular lines consists exclusively of the lines which meet Aj.

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.

In the specific case of time diffusion, we must emphasize the significance of the earlier development of mistrust when it is combined with the inevitable time crisis experienced by most ( if not all ) adolescents in our society, and with the failure of the adolescent period to provide opportunities for developing trust.

William A. Redding asserted that if the case had been heard in open court under rules of evidence, the testimony would have been completed in sixty days instead of five years.

One of the A.L.A.M. lawyers observed that if the Selden case had been tried under this simplified procedure, the testimony which filled more than a score of volumes, `` at a minimum cost of $1 a page for publication alone, could have been contained in one volume ''.

`` What this amounts to, if true, is that there will be a free-for-all fight in this case.

After reading his statement discharging the 23d ward case, Karns told Wexler that if the seven cases scheduled for trial also involved persons who had been subpenaed, he would dismiss them.

He asked members of the panel to tell him if anyone outside the court had spoken to them about the case.

Thus, if what is at issue is whether `` All S is P '', it is indifferent whether `` Some S is not P '' or `` No S is P '', since in either case the judgment in question is false.

In any case, though they had been promised immortality if they ate of the tree, they obtained mortality instead.

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.

A simple illustration of such cause and effect is the case of experiencing the effects of what I cause: if I cause suffering, then as a natural consequence I will experience suffering ; if I cause happiness, then as a natural consequence I will experience happiness.

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.

The first function is assumed, if the expression in the argument contains more characters or, than characters, and the second function is assumed in the opposite case.

In many cases such a selection can be made without invoking the axiom of choice ; this is in particular the case if the number of bins is finite, or if a selection rule is available: a distinguishing property that happens to hold for exactly one object in each bin.

In that case it is equivalent to saying that if we have several ( a finite number of ) boxes, each containing at least one item, then we can choose exactly one item from each box.

For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.

If the ratio a '/ a be sufficiently constant, as is often the case, the above relation reduces to the condition of Airy, i. e. tan w '/ tan w = a constant.

Generally, cylinder pressure for common automotive designs should at least equal 10 bar, or, roughly estimated in pounds per square inch ( psi ) as between 15 and 20 times the compression ratio, or in this case between 150 psi and 200 psi, depending on cam timing.

There is a difference between a letterboxed recording ( or other source ) and a letterboxed picture, as a letterboxed recording will appear letterboxed on every screen – even one that has the same aspect ratio as the source content – while a letterboxed picture may be produced from a non-letterboxed source, in which case it will appear full-screen on a suitably wide display.

In any case, there are two large caveats to contrast ratio as a measure of LCD performance.

attractor ), provided that the ratio of M < sub > 1 </ sub >/ M < sub > 2 </ sub > is greater than 24. 96 .< ref group =" note "> Actually This is the case for the Sun – Earth system, the Sun – Jupiter system, and, by a smaller margin, the Earth – Moon system.

The necessary analysis ( called ratio decidendi ), then constitutes a precedent binding on other courts ; further analyses not strictly necessary to the determination of the current case are called obiter dicta, which constitute persuasive authority but are not technically binding.

In that case the thrust-to-weight ratio of the rocket engine limits the maximum acceleration that can be designed.

In this case they are combined at equal volume, but any ratio could be used.

Altruism is known to increase from rarity when relatedness ( R ) exceeds the ratio of the cost ( C ) to the altruist ( in this case, the cell giving up its own reproduction by differentiating ), to the benefit ( B ) to the recipient of altruism ( the germ line of the colony, that reproduces as a result of the differentiation ), i. e. R > C / B ( see Hamilton's rule ).

In case breath sample analysis is done using isotope ratio mass spectrometry, a 2-point sampling is required with a 20 to 30-minute duration between them.

It is true that the minimum volume and magnetic energy is larger for the case of fast particles and weak fields, but the mirror ratio required remains the same.

This makes the noise figure a useful figure of merit for terrestrial systems where the antenna effective temperature is usually near the standard 290 K. In this case, one receiver with a noise figure say 2 dB better than another, will have an output signal to noise ratio that is about 2 dB better than the other.

However, in the case of satellite communications systems, where the antenna is pointed out into cold space, the antenna effective temperature is often colder than 290 K. In these cases a 2 dB improvement in receiver noise figure will result in more than a 2 dB improvement in the output signal to noise ratio.

Such is the case with the operational transconductance amplifier, which has an open-loop gain ( transconductance ) in Siemens ( mhos ), because the gain is a ratio of the output current to the input voltage.

Humans, in any case, are not appropriate prey because the shark's digestion is too slow to cope with a human's high ratio of bone to muscle and fat.

In statistics, a likelihood ratio test is a statistical test used to compare the fit of two models, one of which ( the null model ) is a special case of the other ( the alternative model ).

In the case of distinguishing between two models, each of which has no unknown parameters, use of the likelihood ratio test can be justified by the Neyman – Pearson lemma, which demonstrates that such a test has the highest power among all competitors.

* In the case of the dimensionless quantity π, being the ratio of a circle's circumference to its diameter, the number would be constant regardless of what unit is used to measure a circle's circumference and diameter ( e. g. centimetres, miles, light-years, etc.

If the vapor is re-condensed, the layers will reform in the condensate, and will do so in a fixed ratio, which in this case is 4. 4 % of the volume in the top layer and 95. 6 % in the bottom layer.

In the case of two circles of equal size, the ratio of the distance between their centers and their radius is often quoted as approximately 0. 807946.

The case, designed by John " Jack " Frassanito, was deliberately designed to fit in the same space as an IBM Selectric typewriter, and used a video screen shaped to be the same aspect ratio as an IBM punched card.

In a cross between two AaBb plants, this produces a characteristic 9: 3: 4 ratio, in this case of yellow: green: white flowers.

In this case, the measured beam intensities may be corrected by subtracting the intensity measured in the dark interval before the ratio is taken.