منابع مشابه
Self-dual smoothing of convex and saddle functions
It is shown that any convex function can be approximated by a family of differentiable with Lipschitz continuous gradient and strongly convex approximates in a “self-dual” way: the conjugate of each approximate is the approximate of the conjugate of the original function. The approximation technique extends to saddle functions, and is self-dual with respect to saddle function conjugacy and also...
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Saddle blockade with pethidine hydrochloride was performed in 111 patients undergoing short surgical operations on the perineum. A dose of 5% pethidine 0.5 mg kg-1 was injected to the subarachnoid space at L4-5 or L5-S1 with the patient in the sitting position. Sensory blockade was achieved in 5.28 +/- 1.43 min. This extended to the sacrococcygeal area, perineum, buttocks and posterior surface ...
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We define the following mappings: the characteristic function of a subset of a set, the inclusion function (injection or embedding), the projections from a Cartesian product onto its arguments and diagonal function (inclusion of a set into its Cartesian square). Some operations on functions are also defined: the products of two functions (the complex function and the more general product-functi...
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Once we have studied effectively computable operations on numbers it is natural to ask whether there is a comparable notion for operations on functions. The essential difference between functions and numbers as basic objects is that functions are usually infinite rather than finite. With this in mind, in §1 of this chapter we discuss the features we might reasonably expect of an effective opera...
متن کاملOn Pairs of Dual Consequence Operations
In the paper, the authors discuss two kinds of consequence operations characterized axiomatically. The first one are consequence operations of the type Cn that, in the intuitive sense, are infallible operations, always leading from accepted (true) sentences of a deductive system to accepted (true) sentences of the deductive system (see Tarski in Monatshefte für Mathematik und Physik 37:361–404,...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1973
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1973-0316097-1