The coefficient of self-induction for these two is four times as great as that of either separately; coefficients of self-induction being proportional to the square of the number of turns of wire that surround a given core.
Vaschy,[1] respecting the coefficients of self-induction of the electromagnets of a number of pieces of telegraphic apparatus.
When in this form the product of the coefficients of the x² and y² terms should be equal to the remaining term.
These researches derive additional importance from having introduced two powerful engines of analysis for the treatment of physical problems, Laplace's coefficients and the potential function.
A direct and an inverse calculus is thus created, the object of the former being to determine the coefficients from the generating function, of the latter to discover the generating function from the coefficients.
And the trouble lies in that reifying of the coefficients of reality and of consciousness which is the condition of a philosophy of “pure” intuition (cf.
Each row represents the coefficients of a power one greater than the power of the previous row.
And in saying that a function is rationally known, it is meant that its value is expressible rationally in terms of the coefficients and of the adjoint quantities.
The equation may be numerical; that is, the coefficients p1, p2^n, .
Or the equation may be algebraical; that is, the coefficients are not then restricted to denote, or are not explicitly considered as denoting, numbers.
The possibility of rendering the proposed formula a square depends altogether upon the coefficients a, b, c; and there are four cases of the problem, the solution of each of which is connected with some peculiarity in its nature.
Especially great were the variations of the coefficients with the concentration, and in those cases in which the concentration of the acid changed considerably during the reaction, the calculation was naturally quite uncertain.
The Ultimate Values of the Coefficients in Fourier's Series.
Fourier Coefficients in Years of many and few Sun-spots.
It must also be remembered that these values assume that the series in positive powers of r, with coefficients having negative suffixes, is absolutely non-existent.
To secure the highest theoretical accuracy, it would be necessary in calculating the Fourier coefficients to allow for the fact that the "months" from which the observational data are derived are not of uniform length.
This is clearly seen when we compare the values found in years of many and of few sun-spots for the Fourier coefficients in the diurnal inequality.
Fourier coefficients of course often vary much with the season of the year.
Greenwich and Batavia, it has long been customary to publish every year values of the Fourier coefficients for each month, and to include other elements besides the declination.
It will be seen that the difference between the c, or amplitude, coefficients in the S max.
They have been called by Maxwell the coefficients of mobility of the system.
These measurements were utilized in combination with appropriate elastic coefficients of the material to find the horse-power transmitted from the engines along the shaft to the propeller.
The difference between the two coefficients of expansion, for a constant pressure and for a constant volume, is explained by these relations.
It is evident that van der Waals' formula can also express the difference of the coefficients of expansion of gases with a change of pressure, and according to the methods of determination (Note 26).
The best experimental determinations of the coefficients have been made indirectly by Voigt by means of results obtained in the theories of the torsion and flexure of aeolotropic bars.
It is found that the influence of different acids on this action is proportional to their specific coefficients of affinity.
In the characteristics of health, success, temper and intelligence the coefficients ranged between .
And we may consider series of sets of points determined by variable curves whose coefficients are algebraical functions, not necessarily rational functions, of parameters.
The theorem is that the sum of these coefficients of t^(-1) is zero.
But we know also that the temperature coefficients do not vary equally from the various physiological processes.
A great many of Mr. Holman's experiments are taken at rates below 1" per minute, and the coefficients obtained are very much below the average practice, as himself seems to believe.
As would naturally be expected, much higher coefficients were found at the high speed on account of the greater velocity of sliding.
The coefficients obtained by Mr. Holman follow the variations in slip like our own, and it gives us pleasure to observe that our general results and conclusions are so strongly corroborative of each other.
The high coefficients obtained, together with the rapid increase of tension, show that the pulling power of a long horizontal belt must, in many cases, be limited by its strength rather than by its adhesion.
When dry, as used on the planer, the coefficients for any given percentage of slip were much smaller than those given in Table I.
That the coefficients in general use are rather below the average results obtained.
Density of Solids and Coefficients of Expansion at Low Temperatures.
Fizeau's values for the coefficients of expansion of the solids being employed.
The temperature coefficients of pure metals are always positive and for some of the more familiar metals, have values, according to Foster, as in Table V.
Special resistance alloys may be obtained having temperature coefficients as low as .
Correlation Coefficients between Rainfall and Growth of Sequoias in California 80 4.
Such partial relationships are the kind for which correlation coefficients are most useful, for the size of the coefficients shows the relative importance of the various factors.
Only at Sacramento and Boca are the rainfall coefficients high enough to be conclusive.
Section D of Table 3 shows the correlation coefficientsbetween the rainfall along the railroad and the growth of the sequoias.
The correlationcoefficients for the sequoia growth and the rainfall at Jerusalem are given in Section A, Table 4.
On the same general principles the other of our two coefficients of reality may be explained.
In this emotional appreciation of the "solidity" and "dependability" of the object the second of our coefficients of reality consists.
Can there then be found in these two spheres experiences of the same nature and emerging under the same general conditions as our Perception and Recognition coefficients of reality?
To the mind of the mechanical engineer, having in view the ordinary coefficients of tractive ability, there is no remedy for this.
The speaker stated that thesecoefficients were not entirely trustworthy.
If now we calculate the binomium of Newton for different values of the exponent, the sum of the coefficients is doubled for each higher unit of the exponent, and at the same time the extreme limit of the curve is extended one step farther.
For this construction the coefficients are used as ordinates, the length of which is to be made proportionate to their value.
If the general shape is once denoted by the results of observations or by the coefficients [735] of the binomium, all further details seem to depend upon them.
Although pounds and inches may not be compared, these two abstract coefficients may be, and we may say that men are more than twice as variable in weight as in stature.
Neither of these values is ever actually found in determining coefficients of heredity in the parental relation; these are usually between 0.
Similar coefficients have been worked out for other degrees of relationship; thus grandparental coefficients are about .
TABLE I Coefficientsof Variability of Certain Human Traits Adult Stature 3.
By experience the coefficients of heredity and correlation in general are found to have the following significance: 0.
The coefficientsof variability of a great many human traits are known and a few representative coefficients are given in Table I.
This table gives the results of the calculation of coefficients of correlation between the birth rates and the conditions enumerated.
Schuster also determined the coefficients of heredity between fathers and sons as regards intellectual ability, the evidence being class marks in Oxford and Harrow; these he found to be about .
The facts of heredity stated in the statistical form of averages and coefficients do not affect the man in the street materially--he rather enjoys taking chances.
Fractions of pounds in weight and lower figures in coefficients have been omitted as superfluous.
It is interesting to compare with these coefficients the values of D when various gases diffuse through each other.
The following tables give the values of the coefficients of diffusion D on the C.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "coefficients" in a variety of sentences. We hope that you will now be able to make sentences using this word.
