منابع مشابه
Regulated functions and the regulated integral
Let I = [a, b] and let X be a normed space. A function f : I → X is said to be regulated if for all t ∈ [a, b) the limit lims→t+ f(s) exists and for all t ∈ (a, b] the limit lims→t− f(s) exists. We denote these limits respectively by f(t ) and f(t−). We define R(I,X) to be the set of regulated functions I → X. It is apparent that R(I,X) is a vector space. One checks that a regulated function is...
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and Applied Analysis 3 The space AC is a Banach space under the Alexiewicz norm; ‖f‖ supI⊂R| ∫ If |, where the supremum is taken over all intervals I ⊂ R. An equivalent norm is ‖f‖′ supx∈R| ∫x −∞f |. The continuous primitive integral contains the Lebesgue, Henstock-Kurzweil, and wide Denjoy integrals since their primitives are continuous functions. These three spaces of functions are not comple...
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Primitive neuroectodermal tumor (PENETs) is an uncommon malignancy of bone and soft tissue witch rarely occurs in the kidney. In more than 90% of the cases, the tumor cells relieves a balanced translocation (11; 22) (q24; q12). Immunohistochemical staining may be required for diagnosis of PENET. The cells of tumor express CD99, vimentin, NSE, FL1 but do not express Ck, LCA, myogenin, and WT1. W...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2009
ISSN: 0019-2082
DOI: 10.1215/ijm/1290435346