In this paper, we study the convergences of random Dirichlet series by the local convergence of random variable and the strong law of large numbers, and obtain some simple and explict formulae on abscissa of convergence. 该文是利用随机变量序列的局部收敛性及强大数定律研究了随机狄里克莱级数的收敛性,得出了它的收敛横坐标的简洁公式.
abscissa abscissae
[ noun ] the value of a coordinate on the horizontal axis <noun.cognition>
Abscissa \Ab*scis"sa\, n.; E. pl. {Abscissas}, L. pl. {Absciss[ae]}. [L., fem. of abscissus, p. p. of absindere to cut of. See {Abscind}.] (Geom.) One of the elements of reference by which a point, as of a curve, is referred to a system of fixed rectilineal co["o]rdinate axes.
Note: When referred to two intersecting axes, one of them called the axis of abscissas, or of X, and the other the axis of ordinates, or of Y, the abscissa of the point is the distance cut off from the axis of X by a line drawn through it and parallel to the axis of Y. When a point in space is referred to three axes having a common intersection, the abscissa may be the distance measured parallel to either of them, from the point to the plane of the other two axes. Abscissas and ordinates taken together are called co["o]rdinates. -- OX or PY is the abscissa of the point P of the curve, OY or PX its ordinate, the intersecting lines OX and OY being the axes of abscissas and ordinates respectively, and the point O their origin.