...sin ^>) +fat/v(»*) 71 (cos3 ^— f cos 0) Hence the right-hand member of (114) can be expressed as a sum of terms each of which is the product of a function of r and a spherical surface harmonic, and the surface harmonics which occur are those of...

...ft sin <£) +r*/' (r) yi (cos2 0-f cos 0) Hence the right-hand member of (114) can be expressed as a sum of terms each of which is the product of a function of r and a spherical surface harmonic, and the surface harmonics which occur are those of...

...29 (1879), pp. 168-181. Darwin's method of treatment is to express the tide-generating potential as a sum of terms, each of which is the product of a second-order solid harmonic and a simple time harmonic, and then to derive the corresponding surface...

...29 (1879), pp. 168-181. Darwin's method of treatment is to express the tide-generating potential as a sum of terms, each of which is the product of a second-order solid harmonic and a simple time harmonic, and then to derive the corresponding surface...

...29 (1879), pp. 168-181. Darwin's method of treatment is to express the tide-generating potential as a sum of terms, each of which is the product of a second-order solid harmonic and a simple time harmonic, and then to derive the corresponding surface...

...matrix with n columns, B any matrix with n rows, any t-rowed determinant of the matrix AB is equal to a sum of terms, each of which is the product of a t-rowed determinant of A by a t-rowed determinant of B. Let A = (a^) be&pxn matrix, B = (b^) &nnxq...

...So the final expression for the correlator will again have a form similar to that in eq.(3.28), — a sum of terms each of which is the product of a holomorphic and an anti-holomorphic function of the modali, and the coordinates z, of the external...

...polynomial. Type the command Factor [polynomial] (recall that a polynomial is an expression consisting of a sum of terms, each of which is the product of a constant and one or more variables each raised to a nonnegative whole number power). Typically, lowercase...

...— (vM dx + vN dy) = dF. du ' v ' 11.2.2 First-Order Linear Differential Equations A linear DE is a sum of terms each of which is the product of a derivative of the dependent variable (say y) and a function of the independent variable (say x). order...

...+ l) . vn+l + crn+l/3oiV- (/9oun+l) - CTn + lpo ' (Vpo) .1>„+!, and noting that the right side is a sum of terms, each of which is the product of a function belonging to Wl'2(fl) with a function belonging to W2'2(fy n W0i'2(fi)1 9 The product of such...