For if u, v, w be the polynomials of orders m, n, p respectively, the Jacobian is (u 1 v 2 w3), and by Euler's theorem of homogeneous functions xu i +yu 2 +zu 3 = mu xv1 +yv2 +zv3 = /IV xw 1+y w 2+ zw 3 = pw; denoting now the reciprocal determinant by (U 1 V2 W3) we obtain Jx =muUi+nvVi+pwWi; Jy=ï¿½.., Jz=..., and it appears that the vanishing of u, v, and w implies the vanishing of J.
A waitress wearing a lace cap denoting her Pennsylvania Dutch heritage seated him at a small corner table by the window.
His advisors and mates dressed in well-made clothing edged with silver, denoting their rank among the shouting crowd in rags.
At heights from 1500 to 6000 metres his observations agreed well with the formula dV/dh= 34 - o o06 h, V denoting the potential, h the height in metres.
Concordatum, agreed upon, from con-, together, and cor, heart), a term originally denoting an agreement between ecclesiastical persons or secular persons, but later applied to a pact concluded between the ecclesiastical authority and the secular authority on ecclesiastical matters which concern both, and, more specially, to a pact concluded between the pope, as head of the Catholic Church, and a temporal sovereign for the regulation of ecclesiastical affairs in the territory of such sovereign.