"I'm scared," she said, and her voice verified her words.
This prediction is verified by the result of analysis.
The results give equations of the same logarithmic form as those obtained in a somewhat different manner in the theory of concentration cells described above, and have been verified by experiment.
But when this happened, Cartesianism was no longer either interesting or dangerous; its theories, taught as ascertained and verified truths, were as worthless as the systematic verbiage which preceded them.
It differs from them in being grounded on exact and verified research.
Rapidly as the standard of musical translations was improving before this work appeared, no one could have foreseen what has now been abundantly verified, that the Ring can be performed in English without any appreciable loss to Wagner's art.
This can be verified by equating to zero the five coefficients of the Hessian (ab) 2 axb2.
Of the quadratic axe+2bxy+cy2, he discovered the two invariants ac-b 2, a-2b cos w+c, and it may be verified that, if the transformed of the quadratic be AX2=2BXY+CY2, sin w 2 AC -B 2 =) (ac-b2), sin w A-2B cos w'+C = (sin w'1 2(a - 2bcosw+c).
A south pole would be urged oppositely to the conventional " direction " of the line; hence it follows that a very small magnetic needle, if placed in the field, would tend to set itself along or tangentially to the line of force passing through its centre, as may be approximately verified if the compass be placed among the filings on the cardboard.
These observations have been verified and extended by Knott, whose researches have brought to light a large number of additional facts, all of which are in perfect harmony with Maxwell's explanation of the twist.
This can be verified by induction.
2 m - 1 m 2sin ' a formula which may be verified by Fourier's theorem.
The explanation of the difference of focus upon the two sides as due to unequal spacing was verified by Cornu upon gratings purposely constructed with an increasing interval.
It is then verified that, after integration with respect to dS, (6) gives the same disturbance as if the primary wave had been supposed to pass on unbroken.
These observations have been verified in the rabbit, mouse, fowl, guinea-pig and cat by Davidsohn, occasionally in the dog by Lubarsch; and confirmatory observations have also been made by Czerny and Maximoff.
As an application of moving axes, consider the motion of liquid filling the ellipsoidal case 2 y 2 z2 Ti + b1 +- 2 = I; (1) and first suppose the liquid be frozen, and the ellipsoid l3 (4) (I) (6) (9) (I o) (II) (12) (14) = 2 U ¢ 2, (15) rotating about the centre with components of angular velocity, 7 7, f'; then u= - y i +z'i, v = w = -x7 7 +y (2) Now suppose the liquid to be melted, and additional components of angular velocity S21, 522, S23 communicated to the ellipsoidal case; the additional velocity communicated to the liquid will be due to a velocity-function 2224_ - S2 b c 6 a 5 x b2xy, as may be verified by considering one term at a time.
Thus another of the friar's prophecies was verified, and its fulfilment cost him his sole protector.
The carefully recorded prediction was verified by the siege of 1529.
This hypothesis he verified quantitatively by experiments, performed at the end of 1761.
With the aid of this apparatus, the principal facts of electrostatics can be experimentally verified, as follows: Experiment I.
But when the scryers see details of various sorts, which are unknown to the inquirer, but are verified on inquiry, then telepathy perhaps fails to provide an explanation.
The formula is a deduction from a general formula, considered later (§ 58), and may be verified in various ways.
The legitimacy of this assumption, and of the further assumption which enables the area of the new figure to be expressed by an approximate formula instead of by an exact formula, must be verified in every case by reference to the actual differences.
This abstract of the history of Yemen from ancient sources can now be verified and supplemented from inscriptions.
Each of the first few harmonics may be easily obtained by touching the string at the first node of the harmonic required, and bowing at the first loop, and the presence of the nodes and loops may be verified by putting light paper riders of shape A on the string at the nodes and loops.
It has further been verified by Sir Oliver Lodge that even in very narrow spaces the aether is not entrained by its surroundings when they are put into rapid motion.
Humboldt's description of this method of capturing the fish has not, however, been verified by recent travellers.
Verified " Parliamentary Copies " of the imperial standard are placed at the Royal Mint, with the Royal Society, at the Royal Observatory, and in the Westminster Palace.
As has already been mentioned, the law is only verified very roughly, if Rydberg's form of equation is taken as correctly representing the series.
An ancient writer states that the rampart was built of regularly laid sods (the same method which had probably been employed by Hadrian), and excavations in 1891-1893 have verified the statement.
Experiments with membranes of copper ferrocyanide have verified this result for solutions of cane-sugar of moderate dilutions.
But for any theory of solution to be tenable, it must at least be consistent with the known thermodynamic relations, verified as those relations are by experiment.
The other features noted in the epistle, their turbulence, drunkenness and greed, all happen to be verified in the pages of ancient writers like Polybius.
Maxwell himself verified this prediction experimentally for viscosity over a wide range of pressure.
This was verified by A.
In Ceylon the average yield per acre was 440 Ib, but there are verified records of 996 lb per acre within the year from an estate of 458 acres.
In a memoir presented to the Academy in 1777, but not published till 1782, he assigned to dephlogisticated air the name oxygen, or "acidproducer," on the supposition that all acids were formed by its union with a simple, usually non-metallic, body; and having verified this notion for phosphorus, sulphur, charcoal, &c., and even extended it to the vegetable acids, he naturally asked himself what was formed by the combustion of "inflammable air" (hydrogen).
630, and was verified by the officers above named, who discovered other Buddhist caves and excavations in the valleys of the Balkhab and Sarikol.
All these facts have been verified and illustrated by the excavations of the American Archaeological Institute and School of Athens, which were carried on from 1892 to 1895.
Halley's most notable scientific achievements were - his detection of the "long inequality" of Jupiter and Saturn, and of the acceleration of the moon's mean motion (1693), his discovery of the proper motions of the fixed stars (1718), his theory of variation (1683), including the hypothesis of four magnetic poles, revived by C. Hansteen in 1819, and his suggestion of the magnetic origin of the aurora borealis; his calculation of the orbit of the 1682 comet (the first ever attempted), coupled with a prediction of its return, strikingly verified in 1759; and his indication (first in 1679, and again in 1716, Phil.
Lord Berkeley and Hartley have also verified the theory by direct measurements of the vapour-pressures of the same solutions.
103, p. 185, 1858) to represent the vapour-pressure of a solution, and was verified by Regnault's experiments on solutions of H 2 SO 4 in water, in which case a constant, the heat of dilution, is added to the latent heat.
Thus in the case of a weight hanging by a spiral spring the work required to increase the length by x is Vf~Kxdx = 4Kx, whence 3/4Muf + 4Kxi=const., as is easily verified from preceding results.
The formula (13) may be easily verified in the case of the compound pendulum, or of the solid rolling down an incline.
When a machine undergoes alternate acceleration and retardation, so that at certain instants of time, occurring at the end of intervals called periods or cycles, it returns to its original speed, then in each of those periods or cycles the alternate excesses of energy and of work neutralize each other; and at the end of each cycle the principle of the equality of energy and work stated in 87, with all, its consequences, is verified exactly as in the case of machines of uniform speed.
But Seneca's fear lest Nero's sleeping passions should once be roused were fully verified, and he seems to have seen all along where the danger lay, namely in Agrippina's imperious temper and insatiable love of power.
They are then examined by the elders of the tribe, and if events have verified them, he is recognized as a supernaturally gifted being, and rewarded with chieftaincy.
Ohm verified his law by the aid of thermo-electric piles as sources of electromotive force, and Davy, C. S.
But although the rigorous requirements of science could only be fulfilled by the employment of all these means, yet in their absence it was permissible to draw from the tables and the exclusion a hypothetical conclusion, the truth of which might be verified by the use of the other processes; such an hypothesis is called fantastically the First Vintage (Vindemiatio).
The theory seems irrefutable just because the act of transference of the people's will cannot be verified, for it never occurred.
A' 377.0 393'2 395.2 395.8 396.4 407'9 409.0 411.4 415.0 415'5 419'5 419.6 419'9 421.2 421.6 422.5 422.8 423'5 427.7 428.7 432.0 433.2 433'9 434.0 434'0 435.0 435.0 435.2 435.45 437.0 440.2 440.3 441'3 444'9 445.7 Verified by A.
Thus for m =2, the spheres are orthogonal, and it can be verified that a13 a2 3 aY3 i f /' = ZU (I - 13 - 7.2 3 + 3) ' (8) where a l, a2, a =a l a 2 /J (a 1 2 +a 2 2) is the radius of the spheres and their circle of intersection, and r 1, r 2, r the distances of a point from their centres.
An oblate flattened body, like a disk or plate, has c 2 -c 1 negative, so that the medium steers the body axially; this may be verified by a plate dropped in water, and a leaf or disk or rocket-stick or piece of paper falling in air.
At the limit of dilution, when the concentration of a solution approaches zero, we have seen that thermodynamical theory, verified by experiment, shows that the osmotic pressure has the same value as the gas pressure of the same number of molecules in the same space.
"The exactness of the descriptions of Palestine, which Keble had never visited, have been noted, and verified on the spot," by Dean Stanley.