 | Peter Guthrie Tait - 1867 - 364 pages
...But a quaternion expression has always a differential, which is, simply, what Newton called ajluxion. As with the Laws of Motion, the basis of Dynamics,...by a function of some one indeterminate; or, as in § 31 (i), if P be a point on the curve, OJP = p = <£(<). And, similarly, if Q be any other point... | |
 | Electronic journals - 1885 - 424 pages
...that he finds that, in the general case, the coefficient of a monomial arising in the expansion is the sum of a number of terms, each of which is a binomial coefficient ; the simplicity which is found in the case of perpétuants is therefore rather... | |
 | Oliver Heaviside - Electric power - 1894 - 590 pages
...applied. § 28. Remarks on Normal Systems. In (8'J) the magnetic force (and in (83) the current) is expressed as the sum of a number of terms each of which is the product of a function of r, the distance from the axis, into a function of t, the latter being... | |
 | Joseph John Thomson - Electrons - 1907 - 190 pages
...force jumps about in this abrupt way, we know by the theorem due to Fourier that it can be represented as the sum of a number of terms, each of which is of the form cos (pt + e) where t represents the time. Each of these terms represents a harmonic wave... | |
 | Edwin Edser - Physics - 1913 - 656 pages
...number of attracting masses can be obtained, in many cases, without much trouble, since it is merely the sum of a number of terms each of which is a scalar (or undirected) quantity (p. 7); and when the potentials at two neighbouring points are known,... | |
 | Ronald S. Rivlin, Grigory I. Barenblatt - Mathematics - 1997 - 2906 pages
...a's are then said to be anisotropic tensors* [9] for the group {S}. It has been shown that the a's may be expressed as the sum of a number of terms, each of which is an outer product formed from a finite number of basic anisotropic tensors for the group {S}, the coefficient... | |
 | Peter Guthrie Tait - History - 2018 - 462 pages
...a quaternion expression has always a differential, which is, simply, what Newton called & fluxion. As with the Laws of Motion, the basis of Dynamics,...number of terms, each of which is a multiple of a constant vector by a function of some one indeterminate ; or, as in § 31 (1), if P be a point on the... | |
 | 228 pages
...in many cases the formula which gives the area of a plane figure or the surface of a solid figure is expressed as the sum of a number of terms each of which involves the product of two dimensions. Let kxy be one term of such a formula, k being a constant and... | |
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Then, generally, p may be expressed as the sum of a number of terms, each of which is a... 