If numerical iterative methods have to be employed, the aim is to iterate until full machine accuracy is obtained ( the best that is possible with a finite word length on the computer, and within the mathematical and / or physical approximations made ).

:: If patients fail to experience the healing power of Christian Science, and think they can be benefited by certain ordinary physical methods of medical treatment, then the Mind-physician should give up such cases, and leave invalids free to resort to whatever other systems they fancy will afford relief.

If an isomorphism can be found from a relatively unknown part of mathematics into some well studied division of mathematics, where many theorems are already proved, and many methods are already available to find answers, then the function can be used to map whole problems out of unfamiliar territory over to " solid ground " where the problem is easier to understand and work with.

If the situation requires it, it is also possible to define a method to execute before ( or after ) each ( or all ) of the test methods with the ( or ) and ( or ) annotations.

If complete sterility is needed, the two most common methods are irradiation and the use of an autoclave, which resembles a pressure cooker.

If the input features contain redundant information ( e. g., highly correlated features ), some learning algorithms ( e. g., linear regression, logistic regression, and distance based methods ) will perform poorly because of numerical instabilities.

If each of the features makes an independent contribution to the output, then algorithms based on linear functions ( e. g., linear regression, logistic regression, Support Vector Machines, naive Bayes ) and distance functions ( e. g., nearest neighbor methods, support vector machines with Gaussian kernels ) generally perform well.

If they did, however, too familiar are the mind-annihilating methods of these Communists in extorting whatever words they want ....

If they both used the Attic stadion of about 185 meters, then the older estimate is 1 / 6 too large, and Ptolemy's value is 1 / 6 too small, a difference explained as due to ancient scientists ' use of simple methods of measuring the earth, which were corrupted either high or low by a factor of 5 / 6, due to air's bending of horizontal light rays by 1 / 6 of the Earth's curvature.

If the password is carried as electrical signals on unsecured physical wiring between the user access point and the central system controlling the password database, it is subject to snooping by wiretapping methods.

If a class requires custom serialization ( for example, it requires certain cleanup actions done on dumping / restoring ), it can be done by implementing 2 methods: and.

If wormholes are possible, then ordinary subluminal methods of communication could be sent through them to achieve superluminal transmission speeds.

# If alkaline transfer methods are used, the DNA gel is placed into an alkaline solution ( typically containing sodium hydroxide ) to denature the double-stranded DNA.

One of Edison's famous quotations about his attempts to make the light globe suggest that perhaps Tesla was right about Edison's methods of working: " If I find 10, 000 ways something won't work, I haven't failed.

If there is any evidence of this, methods of respiratory assistance must be on hand before and during the transfer procedure.

If single crystals of sufficient size cannot be obtained, various other X-ray methods can be applied to obtain less detailed information ; such methods include fiber diffraction, powder diffraction and small-angle X-ray scattering ( SAXS ).

If the material under investigation is only available in the form of nanocrystalline powders or suffers from poor crystallinity, the methods of electron crystallography can be applied for determining the atomic structure.

If the resolution of the data is better than 1. 4 Å ( 140 pm ), direct methods can be used to obtain phase information, by exploiting known phase relationships between certain groups of reflections.

* Heavy atom methods ( multiple isomorphous replacement ) – If electron-dense metal atoms can be introduced into the crystal, direct methods or Patterson-space methods can be used to determine their location and to obtain initial phases.

If the glassware are still dirty, more drastic methods may be needed.

If the pressure is allowed to slowly drop after timing ( see # Pressure release methods for details ), cooking times are even shorter.

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.