In mathematics, the word constant can have multiple meanings. As an adjective, it refers to non-variance; as a noun, it has two different meanings: A fixed and well-defined number or other non-varying mathematical object. What does it mean if someone is constant?
The discussion held by the statistical advisory panel in April focused on the estimates for mean years of schooling and gross national income (GNI) in purchasing power parity constant terms. 统计咨询小组在4月举行的讨论会上,着重讨论了平均上学年数的估计数和以购买力平价不变价格计的国民总收入。
(e.g., Brun's constant, but beast number). However, in contexts such as linear combination, the term "constant" is generally used to mean "scalar" or "real number, " and need not exclude integer values. A function, equation, etc., is said to "be constant" (or be a constant ...
23 Mean values of long Dirichlet polynomials 54:49 NIKA SALIA_ EXTREMAL PROBLEMS IN PLANAR GRAPHS 1:22:04 A survey of Büthe's method for estimating prime counting functions 39:09 Examples of well-behaved Beurling number systems 1:16:36 MIKOLAJ FR_CZYK_ DENSITY CONJECTURE FOR HORIZONTAL ...
doi:10.4169/amer.math.monthly.119.07.603We prove the following generalization of a problem proposed at the 70th William Lowell Putnam Mathematical Competition. Given a nonempty finite set E of n points in ℝ2 and a function f : ℝ2 → ℝd such that the arithmetic mean of the values ...
On the mean value of the function [([phi](n)/[rho](n)).sup.r] Then, there exists an absolute constant [alpha] such that for every x [member of] S there exists a point y on the half-line [[LAMBDA].sub.x] = [LAMBDA](0,x) = {[rho]x : [rho] [greater than or equal to...
We consider complete spacelike hypersurfaces with constant mean curvature in the open region of de Sitter space known as the steady state space. We prove that if the hypersurface is bounded away from the infinity of the ambient space, then the mean curvature must be H = 1. Moreover, in th...
Sato: Constant mean curvature surfaces with two ends in hyperbolic space, Exper- imental Math. 7(2) (1998), 101-119.W. Rossman, K. Sato, Constant mean curvature surfaces with two ends in hyperbolic space, Experimental Math., 7(2) (1998), 101-119....
What does it mean if there is a direct relationship between two quantities? A direct relation is when two quantities are related to one another in such a way that their values increase and decrease at the same rate. The equation for such a relation can be written as y = kx, where x ...
The presence of a closed and conformal vector field in the ambient space is a powerful tool that can be used to establish classification results, as is illustrated by the work of S. Montiel [21] and A. Barros et al. [2] on spacelike hypersurfaces of constant mean curvature. In [16] ...