It is known that the space C p (X) of all real-valued continuous functions on a space X endowed with the topology of pointwise convergence is Lindelöf in each of the following cases: (a) X is hereditarily separable (N. V. Velichko, P. Zenor); (b) X is a Corson compact space...
A class of “absolutely continuous functions” ofnvariables is introduced. The absolute continuity implies continuity, weak differentiability with gradient inLn, differentiability almost everywhere, area, coarea and degree formulae. This gives a unified approach to some previously known conditions for the...
These polynomials, which are intimately connected with the Legendre, Laguerre and Jacobi polynomials, are orthogonal with respect to Stieltjes weight functions which are absolutely continuous on ( 1, 1), (0, ∞) and (0, 1), respectively,... Krall,M Allan - 《Proceedings of the Royal Society...
We study the interplay between U, U#, and m in the context of absolutely (r, q)-summing operators, considering the spaces Cp(Ω,X) of p-continuous functions on Ω, 1≤p≤∞, instead of C(Ω,X)=C∞(Ω,X). This encompasses the Swartz theorem together with its existing extensions ...
the lining of your digestive tract is continuous with the skin that covers your body. This actually makes your digestive tract lining similar to your skin in a sense. It acts as a barrier that protects your blood and inner tissues against harmful substances. If you are suffering from an auto...
摘要: In this paper,Ⅰdiscuss the relation between the absolutely equicontinuous integral of sequence of functions{fn(x)}and almost everywhere converge of the sequence and gives a neaessary and sufficient condition for the absolutely equicontinuous integral of sequence of functions{fn(x)}....
To learn how Fire behaves on functions, objects, dicts, lists, etc, and to learn about Fire's other features, see the Using a Fire CLI page. For additional examples, see The Python Fire Guide. Why is it called Fire? When you call Fire, it fires off (executes) your command. Where ...
The following piecewise-constant interpolation of P(k) is required to use the weak convergence techniques pb(t) = P(k), te[kb,(k + l)b) (23) Pb(')eD"~+'"+"N, the space of all functions from ~ into [0, 1]m'+'''+"'~, which are continuous on the right and have limits...
The paper gives the definitions of monotonic function,bounded variation function and absolute continuous function,and discusses the relationship of the three. 文章给出了单调函数、有界变差函数、绝对连续函数的定义并讨论了三者之间的关系。6) Absolutely continuous functions 绝对连续函数 1. By using Bojan...
Considering that sharp edges tend to cause mechanical issues at high rotational speeds, only barrier topologies based on smooth analytical functions have been analyzed (circular, hyperbolic, and Zhukovsky). By definition, Zhukovsky barrier lines are streamlines and cannot be analytically modified to secu...