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 a person weighs 120 pounds, then " 120 " is the numerical value and " pound " is the unit.

If the work done moving along a path which starts and ends in the same location is zero, then the force is said to be conservative and it is possible to define a numerical value of potential associated with every point in space.

If you change units ( a special case of a change of coordinates ) from meters to milimeters, a scale factor of 1 / 1000, a displacement of 1 m becomes 1000 mm – a contravariant change in numerical value.

If a force is conservative, it is possible to assign a numerical value for the potential at any point.

If analytical expressions are impossible to obtain either the partial derivatives must be calculated by numerical approximation or an estimate must be made of the Jacobian.

If B is unknown, the equation must be solved by numerical methods.

If one needs to allocate a numerical value to " voltage ", rather than " voltage difference ", then a reference zero must be defined.

If the scale is numerical, the label will often be suffixed with the unit of that scale in parentheses.

If it is not well-posed, it needs to be re-formulated for numerical treatment.

If codes designed for x87 are ported to the lower precision double precision SSE2 floating point, certain combinations of math operations or input datasets can result in measurable numerical deviation, which can be an issue in reproducible scientific computations, e. g. if the calculation results must be compared against results generated from a different machine architecture.

In modern times the law of tangents may have better numerical properties than the law of cosines: If is small, and and are almost equal, then an application of the law of cosines leads to a subtraction of almost equal values, which implies a loss of significant digits.

If more than one intein is encoded in the corresponding gene, the inteins are given a numerical suffix starting from 5 ′ to 3 ′ or in order of their identification ( for example, " Msm dnaB-1 ").

If one such section returns in a varied or modified form, a numerical digit or an appropriate number of prime symbols appears after the letter.

If we view, for closed, as a numerical invariant of, then for a manifold with boundary we should think of as a " relative " invariant.

If the plaintext is intended to represent a text message, guessing is not difficult ; however, if the plaintext is intended to represent a numerical value, this issue becomes a problem that must be resolved by some kind of disambiguation scheme.

Marvel has given several What If stories official numerical designations to make them contiguous with the Marvel Comics Multiverse and differentiating them from the main Marvel Universe of Earth-616.

If a greatly enlarged image of a segment of a phonautograph tracing were projected as a horizontally-oriented undulating line on a sheet of graph paper, a numerical description of the line could be created by proceeding from one grid column to the next, counting the number of squares between the line and a straight horizontal reference line, and making a list of the numbers.

Under section 10 ( 3 ) " If any doubt arises as to which is or was at any material time the party in opposition to His Majesty's Government having the greatest numerical strength in the House of Commons, or as to who is or was at any material time the leader in that House of such a party the question shall be decided for the purposes of this Act by the Speaker of the House of Commons, and his decision, certified in writing under his hand, shall be final and conclusive ".

If f is a function, say a numerical function of a real number, and M is an operator, there is no particular reason why the expression

" If there is a tie, a numerical tiebreaker question is asked ; the winner is the player who comes closer to the correct answer without going over.

If there is a tie, a numerical tiebreaker question is asked ; the winner is the player who comes closer to the correct answer without going over.

If a numerical attack isn't defended, it becomes a hit and immediately counts as damage.

If the game ended in a tie, a numerical question is asked whoever comes closest wins the game.

If this is the case then you need to return to the first step-the whole scenario planning process is above all an iterative one ( returning to its beginnings a number of times until the final outcome makes the best sense ).

:: 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 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 intaglio methods, such as copper plates, were used for the images, then images and the text would have required separate print runs on different machines.

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