The nearer the periodic time of the force variation approaches a periodic time of the spring.
The question now arises whether the sensation produced by a periodic disturbance can be analysed in correspondence with this geometrical analysis.
Any periodic curve may be resolved into sine or harmonic curves by Fourier's theorem.
Ammermiiller, of periodic acid.
Distortion of the ocean surface may also arise from meteorological causes, and be periodic or unperiodic in its occurrence, but it does not amount to more than a few feet at the utmost.
The ratio between the limiting angles subtended by the periodic structure of the gauze and the diameter of the wire was (022/ 034) X (240/17) = 9 I.
"Time for our periodic chat, little brother," he said, and motioned to the other chair before the hearth.
Numerous attempts have been made to find periodic variations in thunderstorm frequency.
Parts of the micrometer screw in order to eliminate the effects of periodic error of the screw.
The remarkable phenomenon of the periodic Turkestan shifting of the Lop Nor system has been revealed by the and Oxus researches of Sven Hedin, and the former existence of basin.
Its principle was exactly house, that of the clearing houses used by the railways and the oat to n nk an d banks, the cancellation of indebtedness and discharge periodic s i mply of balances.
Periodic settlements are obviously periodic tests of the solvency of dealers.
Newlands in England, that if they are arranged in the order of their atomic weights they fall into groups in which similar chemical and physical properties are repeated at periodic intervals; and in particular he showed that if the atomic weights are plotted as ordinates and the atomic volumes as abscissae, the curve obtained presents a series of maxima and minima, the most electro-positive elements appearing at the peaks of the curve in the order of their atomic weights.
Mendeleeff, the Davy medal in recognition of his work on the Periodic Law.
In English, Roscoe and Schorlemmer's Treatise on Chemistry is a standard work; it records Periodic law.
Magnus; periodic acid, discovered by the latter, is characterized by the striking complexity of its salts as pointed out by Kimmins.
Dulong and Petit's law thus points to the value 114, which is also supported by the position occupied by this element in the periodic classification.
The present organization of the Quaker church is essentially democratic; every person born of Quaker parents is a member, and, Periodic together with those who have been admitted on their own Periodic request, is entitled to take part in the business assemblies ."
Ann., 1898, 66, 698) are the following elements: - In a table accompanying Koenigsberger's paper the elements are arranged upon the periodic system and the atomic susceptibility (product of specific susceptibility into atomic weight) is given for each.
The determination of the motion in an infinitely extended elastic solid due to a locally applied periodic force.
In spite, however, of all that has been done, the Elbe remains subject to serious inundations at periodic intervals.
In its chemical relations, titanium is generally tetravalent, and occurs in the same sub-group of the periodic classification as zirconium, cerium and thorium.
Opposite the Glyptothek stands the exhibition building, in the Corinthian style, it was finished in 1845, and is used for periodic exhibitions of art.
From the regular progression of the lines in the X-ray spectra of different elements Moseley was able tc indicate the number of elements yet to be discovered, and he cleared up certain anomalies in the periodic tables of the elements.
According to its position in the periodic classification of the elements one would expect its atomic weight to be less than that of iodine, instead of approximately equal, and on this account many efforts have been made to isolate another element from tellurium compounds, but none have as yet been successful.
In its chemical relationships tantalum is associated with vanadium, columbium and didymium in a sub-group of the periodic classification.
Periodic variations of level due to meteorological causes account for the Baltic being fuller in the time of the summer rains than in winter, when the rivers and lakes are frozen and most of the precipitation on the land is in the form of snow.
It was especially used to represent geometrically the periodic apparent retrograde motion of the outer planets, Mars, Jupiter and Saturn, which we now know to be due to the annual revolution of the earth around the sun, but which in the Ptolemaic astronomy were taken to be real.
Aquickvariation, or a periodic variation of the magnitude of the force or torque transmitted through the springs, tends to set up oscillations, and this tendency increases FIG.
The three characteristics of a longitudinal periodic disturbance are its amplitude, the length after which it repeats itself, and its form, which may be represented by the shape of the displacement curve.
Only one such resolution of a given periodic curve is possible, and each of the constituents repeats itself not only after a distance equal to its own wave-length X/n, but evidently also after a distance equal to the fundamental wave-length A.
As the oscilla swung in the wind, oscillare came to mean to swing, hence in English "oscillation," the act of swinging backwards and forwards, periodic motion to and fro, hence any variation or fluctuation, actual or figurative.
Instead they searched their surroundings wildly in the light of periodic lightning and the fire at the far end of the hall.
Now it is probable that the main cause of oceanic circulation is the driving force of the winds upon the superficial layers of water.
(II) A single vortex in a circular cylinder of radius a at a distance c from the centre will move with the velocity due to an equal opposite image at a distance a 2 /c, and so describe a circle with velocity mc/(a 2 -c 2)in the periodic time 21r(a 2 -c 2)/m.
The curve is periodic, and cuts the axis of x at the points x= (2n - I)a, n being an integer; the maximum values of y are =a.
In any case, the alterations in level appear to be merely periodic, and due to fluctuations in rainfall, and do not point, as some have supposed, to a secular drying up of the lake.
It follows from this that any periodic disturbance in air can be resolved into a definite series of simple harmonic disturbances of wave-lengths equal to the original wave-length and its successive submultiples, and each of these would separately give the sensation of a pure tone.
Using the term " note " for the sound produced by a periodic disturbance, there is no doubt that a well-trained ear can resolve a note into pure tones of frequencies equal to those of the fundamental and its harmonics.
3 If the day is divided into twenty-four hours and the planets preside in turn over each hour of the week in the order of their periodic times (Saturn, Jupiter, Mars, Sun, Venus, Mercury, Moon), we get the order of days of the week with which we are familiar.
This periodic distribution in time and space constitutes an electric wave proceeding outwards in all directions from the sending antenna.
To the admission of periodic settlements there was for a time vehement opposition on the ground that the door would be opened to gambling on " differences."
The structure of the molecule, which mainly followed investigations in organic compounds, Frankland's conception of valency, and finally the periodic law, have alsobeen shown in their chronological order.
So far only the North Atlantic has been at all well studied and evidence of seasonal and periodic variations extending over a number of years has been obtained in this area.
The system of Algol, according to this view, is triple; it includes a large, obscure primary, round which the eclipsing pair revolves in an orbit somewhat smaller than that of Uranus, very slightly elliptical, and inclined 20° to the line of sight, the periodic time being 118 years.
In order that the vibration may be maintained, a periodic force must be applied either to aid the internal restoring force on the return journey, or weaken it on the outgoing journey, or both.
But it is very difficult to suppose that the same sensation would be aroused by a truly periodic displacement represented by a smooth curve, and a displacement in which the period is only in the amplitude of the to-and-fro motion, and which is represented by a jagged curve.
This is defined as the speed of revolution of the fictitious body already described, revolving with a uniform angular motion and the same periodic time as the planet.
Periodic settlements are obviously periodic tests of the solvency of dealers.
On the other hand, if a closed oscillation circuit is constructed having capacity and considerable inductance, then oscillations can be set up in it by very small periodic electromotive forces provided these have a frequency exactly agreeing with that of the condenser circuit.
His name is best known for the share he had in the periodic classification of the elements.
" The expenses were also divided into two categories - (1) " Periodic and fixed " expenditure, which admitted of neither reduction nor delay; and (2) the credits allowed to the various departments of state, which might be increased or diminished according to circumstances.
If the fluctuations are irregular and non-periodic, teristics the sound is called a noise; if they are cyclic and follow a regular and sufficiently rapid periodic law, the sound is musical.