Xz sentence example

xz
  • Every symbolic product, involving several sets of cogredient variables, can be exhibited as a sum of terms, each of which is a polar multiplied by a product of powers of the determinant factors (xy), (xz), (yz),...
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  • w...xz to be reduced either to the form g i g where g is a symbol of the series a, b, c,...
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  • The line XZ consists of a series of lengths, as XA, AB ...
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  • But, assuming the distributive principle, the product of two lines appeared to give the expression xx' - yy' - zz' +i(yx' +xy')+j(xz' i j (yz' +zy').
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  • He had now the following expression for the product of any two directed lines: xx' - yy - zz' +i(yx'+ xy')+ j(xz' '+zx') +ij(yz' - zy').
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  • And now a directed line in space came to be represented as ix+jy+kz, while the product of two lines is the quaternion - + yy ' +2z') +i (yz ' - zy') +j (zx' - xz') +k (x y ' - yx').
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  • Now if the displacement z be everywhere very small, the curvature in the planes parallel to xz and yz will be d 2 z/dx 2 and d 2 z/dy e respectively, and if T is the surface-tension the whole upward force will be d 2 z d2zl T (4x 2 + + (p - o) gz.
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  • io) it forms the section or box C, measuring 1 n I n a 44 X 44 Xz when complete, and holds about i lb of comb-honey when filled by the bees and ready for table use.
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