How to use Deviations in a sentence
This coefficient is sometimes called the " angular coefficient," and may be regarded as a measure of the deviations from Boyle's law, 'which may be most simply expressed at moderate pressures by formulating the variation of the angular coefficient with temperature.
This result is very nearly correct, the deviations being so small as to be almost beyond the reach of direct measurement.
Gassendi, with some deviations, follows Epicurus in his theory of the formation of the world.
Such deviations from the practice of merely selling grain and meat off the farm have much extended in recent years, and will probably continue to do so under the altered conditions of British agriculture, determined by very large imports of grain, increasing imports of meat and of other products of stock-feeding, and very large imports of cattle-food and other agricultural produce.
It is apparent that the law of Dulong and Petit is not rigorously true, and that deviations are observed which invalidate the law as originally framed.Advertisement
Taking the refractive index of water for the red rays as 0;, and for the violet rays as 1 r, we can calculate the following values for the minimum deviations corresponding to certain assigned values of n.
The most natural method of procedure is to observe the deviations from Boyle's law by measuring the changes of pv at various constant temperatures.
But owing to the large thermal capacity of his calorimeter, the test, though sufficient for his immediate purpose, was not delicate enough to detect and measure the small deviations which actually exist.
The simplest assumption which suffices to express the small deviations of gases and vapours from the ideal state at moderate pressures is that the coefficient a in the expression for the capillary pressure varies inversely as some power of the absolute temperature.
The value of the co-aggregation volume, c, at any temperature, assuming equation (17), may be found by observing the deviations from Boyle's law and by experiments on the Joule-Thomson effect.Advertisement
Throughout his long professorial career, and in all his numerous publications he remained, in spite of occasional deviations on particular points, loyal to the Hegelian tradition as a whole.
The proper treatment of the deviations from mathematical accuracy, in the second and third of the above classes of cases, is a special matter.
In order to find the amount of dispersion caused by any given prism, the deviations produced by it on two rays of any definite pure colours may be measured.
The angle of difference between these deviations is called the dispersion for those rays.
If 6 F and Sc are the angular deviations of these rays, then S F - Sc is called the mean dispersion of the prism.Advertisement
The Garton artificial fertilization experiments have shown endless deviations from the ordinary type, ranging from minute seeds with a closely adhering husk to big berries almost as large as sloes and about as worthless.
Amongst the legitimate reasons for suspecting the correctness of a text are patent contradictions in a passage or its immediate neighbourhood, proved and inexplicable deviations from the standards for forms, constructions and usages (mere rarity or singularity is not enough), weak and purposeless repetitions of a word (if there is no reason for attributing these to the writer), violations of the laws of metre and rhythm as observed by the author, obvious breaks in the thought (incoherence) or disorderly sequence in the same (double or multiple incoherence).
If an iron ship be swung when upright for deviation, and the mean horizontal and vertical magnetic forces at the compass positions be also observed in different parts of the world, mathematical analysis shows that the deviations are caused partly by the permanent magnetism of hard iron, partly by the transient induced magnetism of soft iron both horizontal and vertical, and in a lesser degree by iron which is neither magnetically hard nor soft, but which becomes magnetized in the same manner as hard iron, though it gradually loses its magnetism on change of conditions, as, for example, in the case of a ship, repaired and hammered in dock, steaming in an opposite direction at sea.
Instead of observing the deviation solely for the purposes of correcting the indications of the compass when disturbed by the iron of the ship, the practice is to subject all deviations to mathematical analysis with a view to their mechanical correction.
The deflector is an instrument designed to enable an observer to reduce the deviations of the compass to an amount not exceeding 2 0 during fogs, or at any time when bearings of distant objects are not available.Advertisement
The chief difference between the two treatises is one which twenty years' experience in affairs could not but bring - the substitution of more cautious and guarded language, less dogmatic affirmation, more allowance for exceptions and deviations.
But the deviations from the Biblical narratives are very marked.
Some deviations from the usual course of development may be noted.
In order to correct this equation for the deviations of the vapour from the ideal state at higher temperatures and pressures, the simplest method is to assume a modified equation of the Joule-Thomson type (Thermodynamics, equation (17)), which has been shown to represent satisfactorily the behaviour of other gases and vapours at moderate pressures.
Many attempts have been made to construct formulae representing the deviations of vapours from the ideal state up to the critical point.Advertisement
The deviations from the ideal volume may also be deduced by the method of Joule and Thomson.
It is easy, however, to correct the formula for these deviations, and to make it thermodynamically consistent with the characteristic equation (13) by substituting the appropriate values of (v-w) and L =H -h from equations (13) and (is) in formula (21) before integrating.
In local government there are no deviations from the usual types that demand notice.
It is obvious that the motions of a pair of points may be varied in any manner, whether by direct or by lateral deviation, and yet that their comparative motion may remain constant, in consequence of the deviations taking place in the same proportions, in the same directions and at the same instants for both points.
The energy stored or restored, as the case may be, by the deviations of velocity of a body or a system of bodies, is the amount by which the actual energy is increased or diminished.
By opening the stop wider, similar deviations arise for lateral points as have been already discussed for axial points; but in this case they are much more complicated.
The rays with an angle of aperture smaller than u* would not have the same distance of intersection and the same sine ratio; these deviations are called "zones," and the constructor endeavours to reduce these to a minimum.
Spherical aberration and changes of the sine ratios are often represented graphically as functions of the aperture, in the same way as the deviations of two astigmatic image surfaces of the image plane of the axis point are represented as functions of the angles of the field of view.
In order to render visible the small waves employed, and which we may regard as deviations of a plane surface from its true figure, the method by which Foucault tested reflectors is suitable.
In the article Refraction it is shown that a ray of light traversing a homogeneous medium is deviated from its rectilinear path when it enters a medium of different refractive index; it is therefore readily seen that the path of a ray through continuously varying media is necessarily curvilinear, being compounded of an infinite number of infinitesimally small rectilinear deviations.
On the one hand the Logos is identified with yvkµrt and connected with Slim, which latter seems to have the function of correcting deviations from the eternal law that rules in things.
It is obvious that experiments of the kind referred to cannot take into account all the conditions of the problem met with in actual practice, such as the effect of the rock at the sides of the valley and variations of temperature, &c., but deviations in practice from the conditions which mathematical analyses or experiments assume are nearly always present.
A number of facts regarding the Algae, and also those relating to such deviations from the normal life cycle as apogamy or apospory, may be regarded as lending support to this view, which, in contrast to the theory of antithetic alternation, has been called that of homologous alternation.
When one or more other bodies form a part of the system, their action produces deviations from the elliptic motion, which are called perturbations.
He does not record any systematic deviations from the formula.
Their observations were probably free from immersion errors, but they record some deviations from the formula which they consider to be beyond the possible limits of error of their work.
He states that the deviations from the formula were " quite within the limits of error introduced by the alteration of the resistance of the circuit with rise of temperature, the deviations of the mercury thermometers from the absolute scale, and the non-correction of the indications of the thermometer for the long column of mercury not immersed in the hot oil round the junctions."
When the question is tested more carefully, either by taking more accurate measurements of temperature, or by extending the observations over a wider range, it is found that there are systematic deviations from the parabola in the majority of cases, which cannot be explained by errors of experiment.
It should be observed that these deviations are continuous, and differ in character from the abrupt changes observed by Tait in special cases.
In many cases the deviations do not appear to favour any simple hypothesis as to the mode of variation of s with temperature, but as a rule the indication is that s is nearly constant, or even diminishes with rise of temperature.
While in a general way the reign of law and order in the movements of the heavenly bodies was recognized, and indeed must have exercised an influence at an early period in leading to the rise of a methodical divination that was certainly of a much higher order than the examination of an animal's liver, yet the importance that was laid upon the endless variations in the form of the phenomena and the equally numerous apparent deviations from what were regarded as normal conditions, prevented for a long time the rise of any serious study of astronomy beyond what was needed for the purely practical purposes that the priests as "inspectors" of the heavens (as they were also the "inspectors" of the sacrificial livers) had in mind.
It can detect deviations of as little as 1mm 2.
It turns out that the mean is the value which minimizes the sum of squared deviations.
Thus standard deviations could not be provided for the results for each sample.
It might also contain a graph showing allowable deviations at high and low frequencies, similar to the gray lines in the graph above.
By studying the deviations of hit positions away from the fitted track it is possible to identify module misalignments.
Note the very large standard deviations in Table 1, showing great variability.
To calculate variance, the mean of a group of scores is subtracted from each score to give a group of " deviations " .
It will be noticed that the ratio found is sometimes above and sometimes below the number 2, which is required by the atomic theory, and therefore the deviations may not unreasonably be attributed to experimental errors.
Further, the preliminary survey over the proposed route, necessary for deciding the length and types of cable required, can afford merely an approximation to the depth in which the cable actually lies, since accidents of wind and weather, or lack of observations for determining the position, cause deviations, often of considerable importance, from the proposed route.
The Domesday survey of Lincolnshire, Nottinghamshire, Yorkshire, Norfolk, &c., shows remarkable deviations in local organization and justice (lagmen, sokes), and great peculiarities as to status (socmen, freemen), while from laws and a few charters we can perceive some influence on criminal law (nidingsvaerk), special usages as to fines (lahslit), the keeping of peace, attestation and sureties of acts (faestermen), &c. But, on the whole, the introduction of Danish and Norse elements,apart from local cases, was more important owing to the conflicts and compromises it called forth and its social results, than on account of any distinct trail of Scandinavian views in English law.
Poisson published his Memoir on the Deviations of the Compass caused by the Iron in a Vessel.
From Poisson's equations Archibald Smith deduced the formulae given in the Admiralty Manual for Deviations of the Compass (1st ed., 1862), a work which has formed the basis of numerous other manuals since published in Great Britain and other countries.
He went on to deal with the case of projectiles, and was led to the conclusion that the motion in this case could be regarded as the result of superposing a horizontal motion with uniform velocity and a vertical motion with constant acceleration, the latter identical with that of a merely falling body; the inference being that the path of a projectile would be a parabola except for deviations attributed to contact with the air, and that in a vacuum this path would be accurately followed.
The best simple measure of the frequency of deviations from the mean character is the "standard deviation" or "error of mean square" of the system (see article Probability), in this case equal to 1.68 glands.
Centre of Percussion.It is obviously desirable that the deviations or changes of motion of oscillating pieces in machinery should, as far as possible, be effected by forces applied at their centres of percussion.
But there is one conception of perturbations of such generality and elegance that it forms the common base of all those methods of determining these deviations which have high scientific interest.
He was even pleased by failures, for failures resulting from deviations in practice from the theory only proved to him the accuracy of his theory.
The Off-Axis Guider works best with an illuminated reticle eyepiece so that very small deviations can be identified quickly and can be corrected accurately.
The residues with temperature factor greater than three standard deviations from the average value are listed.
These values should be within one standard deviations of the best fit parameters for your actual data.
All pixels with data values within 2 standard deviations of the mean are averaged.
This process is then repeated twice more, rejecting pixel values lying more than 2.8 and 2.5 standard deviations from the mean.
To calculate variance, the mean of a group of scores is subtracted from each score to give a group of " deviations ".
These are all approximately in thermal equilibrium, the small deviations from which produce the weather.
Also called macrocephalia and megalocephaly, macrocephaly is diagnosed when the circumference of the head is more than two standard deviations above average for the child's age, sex, race, and period of gestation.
In a normal distribution, two standard deviations above and below the mean includes about 95% of all samples.
Another measure taken by some parents is the use of a portable battery-operated monitor that sounds an alarm in response to significant deviations in infants' respiration or heart rates while they are asleep.
The EFM continuously prints out a record of both the FHR and the duration and frequency of the uterine contractions, so that deviations from normal patterns can be identified.
IgG and IgA and/or IgM will be measured at about two standard deviations below normal.
Parents should avoid attaching too much significance to deviations from the average.
The physical exam is performed, plotted on the standard growth curve, and any deviations are noted.
If you pitched the article to address childcare issues for working mothers, then you need to address that topic and keep any deviations for potential sidebars.
Many spoilers can be found in the Charlaine Harris' Sookie Stackhouse books upon which the television show is based, but the deviations from the literature can keep fans hopping.
Ads must be run according to placement guidelines without deviations, unless submitted to the franchisor for approval.
Because these essentials are so basic to fairy tales, deviations from the formula can be very entertaining because they are so startling and unexpected.
Whatever the specific rotation, there may in practice be deviations from the plan of retaining on the farm the whole of the root-crops, the straw of the grain crops and the leguminous fodder crops (clover, vetches, sainfoin, &c.) for the production of meat or milk, and, coincidently, for that of manure to be returned to the land.