Deviation sentence example
Deviation from this rule indicates molecular dissociation or association.
Some vessels are more liable to become sub-permanently magnetized than others, and as no corrector has been found for this source of deviation the navigator must determine its amount by observation.
According to Proclus an angle must be either a quality or a quantity, or a relationship. The first concept was utilized by Eudemus, who regarded an angle as a deviation from a straight line; the second by Carpus of Antioch, who regarded it as the interval or space between the intersecting lines; Euclid adopted the third concept, although his definitions of right, acute, and obtuse angles are certainly quantitative.
The deviation is extremely slight, its maximum amount ranging between o 5" and o 6".
Of these A is a deviation constant in amount for every direction of the ship's head.Advertisement
The deviation observed when the ship inclines to either side is due - (i) to hard iron acting vertically upwards or downwards; (2) to vertical soft iron immediately below the compass; (3) to vertical induction in horizontal soft iron when inclined.
Hence, however carefully a compass may be placed and subsequently compensated, the mariner has no safety without constantly observing the bearings of the sun, stars or distant terrestrial objects, to ascertain its deviation.
The introduction of powerful engines causing serious vibration to compass cards of the admiralty type, coupled with the prevailing desire for larger cards, the deviation of which could also be more conveniently compensated, led to the gradual introduction of the Thomson compass.
It is certain that if the directive forces on the north, east, south and west points of a compass are equal, there can be no deviation.
He also described a method of correcting deviation by means of a bar of vertical iron so placed as to correct the deviation nearly in all latitudes.Advertisement
As the sun rises, the rays enter the prisms more and more obliquely, and the angle of minimum deviation increases; but since the emergent ray makes the same angle with the refracting edge as the incident ray, it follows that the parhelia will remain on the parhelic circle, while receding from the inner halo.
Their width and height are sufficient to transmit (at the position of minimum deviation) the entire beam received from the collimator.
The preface divides the ecclesiastical year into four periods corresponding to the various epochs of the world's history, a time of deviation, of renovation, of reconciliation and of pilgrimage.
All the three orders of Greek architecture - the Doric, Ionic and Corinthian - are found freely employed in the various edifices of the city, but rarely in strict accordance with the rules of art in their proportions and details; while the private houses naturally exhibit still more deviation and irregularity., In many of these indeed we find varieties in the ornamentation, and even in such leading features as the capitals of the columns, which remind one rather of the vagaries of medieval architecture than of the strict rules of Vitruvius or the regularity of Greek edifices.
The direction in which the compass needle deviated was west or east, according as the curtain approached from the south or the north; as the curtain retired the deviation eventually diminished.Advertisement
In the case of a horizontal line the azimuth is its deviation from the north or south direction.
Thus a series of arrays of beech leaves, gathered, subject to the precautions indicated, from each of loo beech trees in Buckinghamshire by Professor Pearson, gave 16.1 as the mean number of veins per leaf, the standard deviation of the veins in the series being 1.735.
The mean and standard deviation of all first leaves or of all second leaves will clearly be the same as those already determined for the series of leaves; since every leaf in the series is used once as a first member and once as a second member of a pair.
We see therefore that while leaves, gathered in equal numbers from each of loo trees, are distributed about their mean with a standard deviation of 1.735 veins, the leaves gathered from a single tree are distributed about their mean with a standard deviation of 1.426 veins, the ratio between variability of the race and variability of the individual tree being 1 - (0-5699)1=0.822.
We may therefore conclude that for large classes of characters, both animal and vegetable, the variability of an individual, as measured by the standard deviation of its undifferentiated but repeated organs, is a constant fraction of the variability of its race, as measured by the standard deviation of the corresponding series of organs produced by all the individuals of its race.Advertisement
This kind of selection is measured by the correlation between deviation of either mate from the type, and deviation of the other.
The deviation is unmistakable; in general the direction from the solar apex is not the one in which most stars are moving; and, what is even more striking, the directions, in which most and fewest stars respectively move, are not by any means opposite to one another.
It is interesting to remark that the simple result found in equation (25) (according to which the effect of the deviation of the vapour from the ideal state is represented by the addition of the term (c-b)/V to the expression for log p) is independent of the assumption that c varies inversely as the n th power of 9, and is true generally provided that c-b is a function of the temperature only and is independent of the pressure.
This line is called the boundary of the geometrical shadow, and its construction is based on the assumption that light travels in straight lines (in homogeneous media) and suffers no deviation on meeting an obstacle.
But a deviation, termed diffraction, does occur, and consequently the complete theory of shadows involves considerations based on the nature of the rays themselves; this aspect is treated in Diffraction Of Light.Advertisement
The origin of the name deviation moment sometimes applied to a product of inertia is also now apparent.
In the motion consequent on any slight disturbance the total energy T+V is constant, and since T is essentially positive it follows that V can never exceed its equilibrium value by more than a slight amount, depending on the energy of the disturbance, This implies, on the present hypothesis, that there is an upper limit to the deviation of each co-ordinate from its equilibrium value; moreover, this limit diminishes indefinitely with the energy of the original disturbance.
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.
At intermediate instants, however, other principles have also to be taken into account, which are deduced from the second law of motion, as applied to direct deviation, or acceleration and retardation.
Let da be the deviation of angular velocity to be produced in the interval dt, and I the moment of the inertia of the body about an axis through its centre of gravity; then 1/8Id(&) = Iada is the variation of the bodys actual energy.
Let M be the moment of the unbalanced couple required to produce the deviation; ther by equation 57, 104, the energy exerted by this couple in tht interval dt is Macit, which, being equated to the variation of energy gives da R2W da -
Hence the required deviation a may be regarded as compounded of a deviation of translation dv=OG.
Even in the case of small and comparatively homogeneous countries such as Holland, Belgium or Saxony there is considerable deviation from the mean in the density of the respective component subdivisions, a difference which when extended over more numerous aggregates often renders the general mean misleading or of little value.
Among the lower rates which prevail in western Europe, however, the connexion is not so direct, and a low birth-rate is sometimes found with a relatively higher marriage rate and vice versa, a deviation from the natural course of events which will be discussed presently.
In the other pyro-electric crystals above mentioned, Hatly detected the same deviation from the rules of symmetry in their secondary crystals which occurs in tourmaline.
Both the aberration of axis points, and the deviation from the sine condition, rapidly increase in most (uncorrected) systems with the aperture.
Instead of making d4 vanish, a certain value can be assigned to it which will produce, by the addition of the two lenses, any desired chromatic deviation, e.g.
In using glasses not having proportional dispersion, the deviation of a third colour can be eliminated by two lenses, if an interval be allowed between them; or by three lenses in contact, which may not all consist of the old glasses.
If, as before, the frequency be p7211, and a the radius of the sphere, we have p 2 =n(n-1)(n+2)P a3, (6) n denoting the order of the spherical harmonic by which the deviation from a spherical figure is expressed.
That the sun on midsummer day rises nearly, but not quite, in line with the "avenue" and over the Friar's Heel, has long been advanced as the chief argument in support of the theory that Stonehenge was a temple for sun-worship. On the supposition that this stone was raised to mark exactly the line of sunrise on midsummer's day when the structure was erected, it would naturally follow, owing to well-known astronomical causes, that in the course of time the direction of this line would slowly undergo a change, and that, at any subsequent date since, the amount of deviation would be commensurate with the lapse of time, thus supplying chronological data to astronomers for determining the age of the building.
For these densities, the deviation of the water face from the vertical in the figure of least sectional area is, however, so trifling that, so far as this consideration is concerned, it may be neglected.
Any deviation in pressure will cause the floating bell to be lifted or lowered, and the size of the inlet will be decreased or increased, thus regulating the flow.
Let us study the effect of this deviation from the spherical form upon the attraction exercised by a distant body.
Any slight deviation from verticality is shown by the motion of the bubble during the revolution, which can be measured and allowed for.
The motion of the bubble then measures double the inclination of this imaginary axis, or the deviation of a cylinder on which the level may rest from horizontality.
Its deviation from the vertical line is determined by the motion of the bubble of a spirit-level rigidly attached either to the axis, or to the telescope.
Applying this deviation to the measured arc, the true zenith distance of the body is found.
Not the slightest change in the direction of such a star when in this position has ever been detected, and it is certain that if any occurs it can be but a minute fraction of a second of arc. As an atmosphere equal to ours in density would produce a deviation of an important fraction of a degree, it may be said that the moon can have no atmosphere exceeding in density the b b l o o that of the earth.
The most plausible explanation is that, like the discrepancy in the secular acceleration, the observed deviation is only apparent, and arises from slow fluctuations in the earth's rotation, and therefore in our measure of time produced by the motion of great masses of polar ice and the variability of the amount of snowfall on the great continents.
For this purpose hydraulic mechanism of Bessemer's design was arranged under the control of an attendant, whose duty it was to keep watch on a spirit-level, and counteract by proper manipulation of the apparatus any deviation from the horizontal that might manifest itself on the floor of the saloon owing to the rolling of the vessel.
He was unable to see any marked deviation of the spectrum from that of the sun; but it does not appear that either he or any other of the observers distinctly saw the dark lines of the solar spectrum.
It differs from the astronomical latitude only in being corrected for local deviation of the plumb-line.
A more important deviation from ordinary Lepidostroboid structure is shown by the genus Lepidocarpon, from the English Coal Measures and the Lower Carboniferous of Scotland.
E is the normalized structure amplitude, SIGE is its standard deviation.
He will conquer who has learned the artifice of deviation.
The declination, or deviation between the magnetic pole and the rotation pole, should theoretically be a simple, mathematically calculable figure.
The approach is based on qualitative deviation models for the automatic derivation of on-board diagnostics based on decision trees.
The simplest approach to this is to calculate the standard deviation.
A slight deviation from the original plans, I am sure.
With his binoculars, he measures an angular deviation of 62 mile from the church to the target.
Reproducibility was defined as the median deviation across the seven maps divided by the median T 1 value in the region of interest.
It shows both a profile view of the bore and a bird's-eye view of the lateral deviation.
A deviation correction less than 30 meters is a minor deviation correction less than 30 meters is a minor deviation correction.
The repeatability standard deviation is smaller at lower chloride levels.
None of the compass deviation events reported here were the result of these well known phenomena.
Aspects of the human condition include exotropia, accommodative esotropia, A and V patterns, dissociated vertical deviation and latent nystagmus.
If you take the natural logarithm of this distribution, you'll get a normal distribution with mean mu and standard deviation sigma.
In practice, the estimated standard deviation, s, must be used.
The relative standard deviation (RSD) for the method of analysis was 5.8 per cent.
The average survival is in excess of 60% with a very low standard deviation.
The output shows however that the associated standard deviation is equal to zero.
With the same probability, Gaussian noise is added to the tolerance value (mean 0, standard deviation 0.01 ).
Their equation used the standard deviation of the stock price and the risk-free interest rate to provide a value.
The column to the right of each of these gives the standard deviation for the set of 100 individual runs.
If a set has a low standard deviation, the values are not spread out too much.
The effect size statistic is equal to the mean change in instrument scores divided by the baseline standard deviation  .
But two instances of extreme deviation from the ordinary mode of life due, apparently, like ant-mimicry, solely, if not wholly, to the persecution of Hymenoptera, may be cited as illustrations of the profound effect upon habit brought about by long-continued persecution from enemies of this kind.
Our investigations and estimates of resolving power have thus far proceeded upon the supposition that there are no optical imperfections, whether of the nature of,, a regular aberration or dependent upon irregularities of material and workmanship. In practice there will always be a certain aberration or error of phase, which we may also regard as the deviation of the actual wavesurface from its intended position.
The deviation is thus seen to vary with the angle of incidence; and by considering a set of parallel rays passing through the same principal plane of the sphere and incident at all angles, it can be readily shown that more rays will pass in the neighbourhood of the position of minimum deviation than in any other position (see Refraction).
The cock bird, when, to use the fenman's expression, he has not "his show on," and the hen at all seasons, offer no very remarkable deviation from ordinary sandpipers; outwardly there is nothing, except the unequal size of the two sexes, to rouse suspicion of any abnormal peculiarity.
An effect similar to drift is observable at tennis, golf, base-ball and cricket; but this effect is explainable by the inequality of pressure due to a vortex of air carried along by the rotating ball, and the deviation is in the opposite direction of the drift observed in artillery practice, so artillerists are still awaiting theory and crucial experiment.
This is, perhaps, his most marked deviation from the rigour of principle; it was doubtless a concession to popular opinion with a view to an attainable practical improvement The wisdom of retaliation in order to procure the repeal of high duties or prohibitions imposed by foreign governments depends, he says, altogether on the likelihood of its success in effecting the object aimed at, but he does not conceal his contempt for the practice of such expedients.
If innumerable numbers of such crystals fall in any manner between the observer and the sun, light falling upon these crystals will be refracted, and the refracted rays will be crowded together in the position of minimum deviation (see Refraction Of Light).
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.
Notwithstanding this differentiation, the mean character of a series of repeated organs is often constant through a considerable region of the body or a considerable period of time; and the standard deviation of an "array" of repeated parts, chosen from such an area, or within such limits of time, may be taken as a.
The coefficient of correlation is 0.5699, which indicates that the standard deviation of an array is equal to that of the leaves in general multiplied by 1 / I - (0.5699) 1; and performing this multiplication, we find 1.426 as the standard deviation of an array.
From this result it follows (see Probability) that the standard deviation of the array, which we have taken as a measure of individual variability, is equal to the standard deviation of the race multiplied by V I - (2) z or by * These results cannot be accepted as final, but they are based on so many investigations of animals and plants, of such widely different kinds, that they may confidently be expected to hold for large classes of organic characters.
But the latter do not certainly show any deviation in the measure of time, and seem to preclude a deviation so large as that derived from observations of the moon.
The range of Steele's observations was too small to show any certain deviation from the formula, but he notes capricious changes attributed to change of condition of the proved to be proportional to the square of the current, the Peltier effect is reversible with the current, and being directly proportional to the first power of the current, changes sign when the current is reversed.
This is the only deviation from the RIA process.
On 9th March 1955, the Central Committee of the Hungarian Workers Party condemned Nagy for " rightist deviation ".
In these plots the deviation of the skew gaussian from the mlla predictions at the 1% level can be seen.
Firstly the standard deviation of the distribution of income is required.
The spread is usually calculated by taking the standard deviation of the scores.
The abscissa is the standard deviation of the relative error on coordinates of image point or calibration parameters.
Information displayed included port, span, parameter names, date/time of analysis, standard deviation of data and residuals.
With the same probability, Gaussian noise is added to the tolerance value (mean 0, standard deviation 0.01).
The effect size statistic is equal to the mean change in instrument scores divided by the baseline standard deviation [36 ].
Also tabulated with each value are the number of points used and the standard deviation.
Sending email wedding invitations is a huge deviation from traditional wedding etiquette.
Everyone experiences the occasional sleepless night or deviation from schedule.
Whilst closer to being a 'true' Sonic title than Bean Machine and Spinball, Sonic 3D is still criticised for its deviation from Sonic's roots.
A lie is any deliberate deviation from the truth; it is a falsehood communicated with the intention to mislead or deceive.
The test has a mean, or average, standard score of 100 and a standard deviation of 15 for composite scores (subtests have a mean of 10 and a standard deviation of 3).
The standard deviation indicates how far above or below the norm the subject's score is.
This child's score would be one standard deviation above that norm.
It provides standard age deviation scores for chronological ages between three years and six months and nine years and eleven months.
When a child's deviation from the average milestones of development causes the parents concern, a pediatrician or other professional may be contacted for advice.
Most children with strabismus have comitant strabismus, which means that no matter where they look, the degree of deviation does not change.
The deviation can vary from day to day or during the day.
It is calculated by dividing the standard deviation of RBC volume by the MCV and multiplying by 100.
The scales have a mean, or average, standard score of 100 and a standard deviation of 15.
This child's score would be one standard deviation below that norm.
Look at the gestures and movements that are normal, and then when you see a deviation from the norm, you can observe connections between emotional state and behavior.
It is important to note that sexual poetry is hardly a modern deviation in literature.
Golfers will love the deviation from the norm.
Teens should be instructed in making good nutritional choices, while allowing themselves an occasional "deviation" when a special occasion warrants it.
The deviation to a more mellow style than their usual sound has worked in favor of Linkin Park, illustrated their ability to create incredible songs outside their signature rock genre.
There is one deviation from the Bravo formula in the Top Design format.
That way, there is a record of their appearance and any deviation can be quickly spotted and assessed for possible cancer.
The deviation is of importance in the movement of air, of ocean currents, and to some extent of rivers.3 In popular usage the words " physical geography " have come to mean geography viewed from a particular standpoint rather than any special department of the subject.
If these equations could be assumed to hold when H is indefinitely small, it would follow that has a finite initial value, from which there would be no appreciable deviation in fields so weak that bH was negligibly small in comparison with a.
Of the total amount of light falling on such a sphere, part is reflected or scattered at the incident surface, so rendering the drop visible, while a part will enter the drop. Confining our attention to a ray entering in a principal plane, we will determine its deviation, i.e.
Then the deviation experienced by the ray at A is i - r.
The drop will consequently be more intensely illuminated when viewed along these directions of minimum deviation, and since it is these rays with which we are primarily concerned, we shall proceed to the determination of these directions.
It was found that projectiles fired from a rifled gun deviated laterally from the line of Sights for fire owing to the axial spin of the projectile, and that if the r i fled spin were right-handed, as in the British service, the deviation was to the right.
This deviation or derivation is usually called drift (for further details see Ballistics).
Beats also afford an excellent practical guide in the tuning of instruments, but more so for the higher notes of the register, inasmuch as the same number of beats are given by a smaller deviation from unison by two notes of high pitch than by two notes of low pitch.
If the refracting angleof the prism is small, then the ratio of the dispersion to the mean deviation of the two rays is the dispersive power of the material of the prism.
A right government is one which aims at the general good, whereas any government which aims at its own good is a deviation.
The power may be increased, but with a diminution of intensity, by using a train of prisms. Steinheil made an instrument of four prisms, each of which had, however, to be set in the position of minimum deviation by trial.
Certain relaxations are, however, allowed in consideration of the difficulty of absolutely avoiding all deviation from the strict rules laid down.
Occasionally (as at Birdoswald) there was a deviation, and the older work survived.
Though their prevailing tendency was practical, and the tenets of the society were kept a profound secret, it is perfectly clear from the concurrent testimony of Philo and Josephus that they cultivated a kind of speculation, which not only accounts for their spiritual asceticism, but indicates a great deviation from the normal development of Judaism, and a profound sympathy with Greek philosophy, and probably also with Oriental ideas.
But in many important points their deviation from the strait path of Judaic development was complete.
In their speculative hints respecting the soul and a future state, we find another important deviation from Judaism, and the explanation of their asceticism.
Following the first chart of lines of equal variation compiled by Edmund Halley in 1700, charts of similar type have been published from time to time embodying recent observations and corrected for the secular change, thus providing seamen with values of the variation accurate to about 30' of arc. Possessing these data, it is easy to ascertain by observation the effects of the iron in a ship in disturbing the compass, and it will be found for the most part in every vessel that the needle is deflected from the magnetic meridian by a horizontal angle called the deviation of the compass; in some directions of the ship's head adding to the known variation of the place, in other directions subtracting from it.
It is also provided with an azimuth circle or mirror and a shadow pin or style placed in the centre of the glass cover, by either of which the variable angle between the compass north and true north, called the "total error," or variation and deviation combined, can be observed.
Thus in every ship the compass needle is more or less subject to deviation differing in amount and direction for every azimuth of the ship's head.
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.
This latter cause of deviation is called sub-permanent magnetism.
If the ship be inclined to starboard or to port additional deviation will be observed, reaching a maximum on north and south points, decreasing to zero on the east and west points.
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.
Since the minimum deviation is least for the least refrangible rays, it follows that the red rays will be the least refracted, and the violet the more refracted, and therefore the halo will be coloured red on the inside.
The theory of chance was applied to the study of human variation by Quetelet; but the most important applications of this theory to biological problems are due in the first instance to Francis Galton, who used the theory of correlation in describing the relation between the deviation of one character in an animal body from the mean proper to its race and that of a second character in the same body (correlation as commonly understood), or between deviation of a parent from the mean of its generation and deviation of offspring from the mean of the following generation (inheritance).
The deviation of the earths figure from sphericity, and the variation of g with latitude, are here ignored.
Screw adjustments are provided for closing or opening the air gap between the electromagnets and armatures, for raising or lowering the siphon, and for adjusting the point of the siphon to the centre or side of the paper strip. The received signals are recorded on the paper strip in an undulating continuous line of ink, and are distinguished by the length of deviation from zero.
The difference between the highest and lowest price, we may observe, is a very imperfect indication of the range of movement (though, taken in conjunction with the standard deviation, it is the best at our disposal), because either of the extreme prices might be accidental and quite out of relation to all others.
In considering the relative brightnesses of the different spectra, it is therefore sufficient to attend merely to the principal directions, provided that the whole deviation be not so great that its cosine differs considerably from unity.
In either case (as also with a prism) the position of minimum deviation leaves the width of the beam unaltered, i.e.
It may be worth while to examine further the other variations from correct ruling which correspond to the various terms expressing the deviation of the wave-surface from a perfect plane.
There is therefore as yet no ground for regarding any deviation from the law of inverse square as more than a possibility.
During Nansen's expedition on the " Fram " in 1894-1895, Scott Hansen made observations with a Sterneck's half-seconds pendulum on the ice where the sea was more than 1600 fathoms deep and found only an insignificant deviation from the number of swings corresponding to a normal ellipsoid.
Further, all water particles when moving undergo a deviation from a straight path due to the forces set up by the rotation of the earth deflecting them towards the right as they move in the northern hemisphere and towards the left in the southern.
The formula may, however, be used if the deviation from conical form is relatively less than the errors of measurement.
The plane of the joint orbit, in which no deviation from circularity has yet been detected, nearly coincides with the line of sight.
The right arm was the original bed, and the left arm, on which Babylon was built, the artificial deviation, as is clear from the cuneiform inscriptions.
The Regulation of Railways Act of 1871 extends the provisions of the above act to the opening of " any additional line of railway, deviation line, station, junction or crossing on the level " which forms a portion of or is connected with a passenger railway, and which has been constructed subsequently to the inspection of it.
It is sometimes assumed that this is measured perfectly by the standard deviation,' which is obtained by taking the squares of the differences between the average and the individual prices, summing them and extracting the square root.
Expressed both absolutely and as percentages of the price averaged from the 1st of October to the 31st of July, the range of movement, standard deviation, and mean weekly movement calculated between the times mentioned above (October 1st to July 31st), after diminishing significantly for some years after the later 'sixties, have risen appreciably on the whole of late years.
If 8 and 4' denote the angles with the normal made by the incident and diffracted rays, the formula (5) still holds, and, if the deviation be reckoned from the direction of the regularly reflected rays, it is expressed as before by (0+0), and is a minimum when 8 = 0, that is, when the diffracted rays return upon the course of the incident rays.
At B, where the ray leaves the drop, the deviation is the same as at A, viz.
The total deviation of the ray is consequently given by D =2(i - r) +7r - 2r.
Similarly it may be shown that each internal reflection introduces a supplementary deviation of 7r - 2r; hence, if the ray be reflected n times, the total deviation will be D =2(i - r) +n (7r - 2r) .
It may be readily deduced that the directions of minimum deviation for a pencil of parallel rays lie on the surface of cones, the semi-vertical angles of which are equal to the values given in the above table.
This was first suggested by Thomas Young, who showed that the rays producing the bows consisted of two systems, which, although emerging in parallel directions, traversed different paths in the drop. Destructive interference between these superposed rays will therefore occur, and, instead of a continuous maximum illumination in the direction of minimum deviation, we should expect to find alternations of brightness and darkness.
The mathematical discussion of Airy showed that the primary rainbow is not situated directly on the line of minimum deviation, but at a slightly greater value; this means that the true angular radius of the bow is a little less than that derived from the geometrical theory.
If it was desired to get rid of these, an effort was made to impute to them some deviation from the rule of faith; and under this pretext the church freed herself from the Montanists and the Monarchians.
When the velocity of the jet is gradually increased there is a certain range of velocity for which the jet is unstable, so that any deviation from the straight rush-out tends to increase as the jet moves up. If then the jet is just on the point of instability, and is subjected as its base to alternations of motion, the sinuosities impressed on the jet become larger and larger as it flows out, and the flame is as it were folded on itself.
Then the deviation y= DE of the neutral axis of the bent beam at any point D from the axis OX is given by the relation d 2 y Ml dx 2 = EI' where M is the bending moment and I the amount of inertia of the beam at D, and E is the coefficient of elasticity.
Another important consequence of rotation is the deviation produced in moving bodies relatively to the surface.
This deviation is the adoption of an aquatic mode of life by the European fresh-water spider (Argyroneta) and by the marine spider Desis, which is found on the shores of the Indian and Pacific Oceans from Cape Colony to eastern Australia.
The points just noted apply also to the average fluctuation and the standard deviation, but it is probable in these cases that daily or even weekly quotations would be sufficient to yield the information sought for with sufficient exactness for purposes of comparison.