Mathematical Proceedings of the Cambridge Philosophical Society
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On non-expansive mappings of Banach spacesLet f : X → X be a mapping of the metric space X into itself. We call f non-expansive if
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 60 Số 3 - Trang 439-447 - 1964
Tools for maximal regularity
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 134 Số 02 - Trang 317 - 2003
Examples of tunnel number one knots which have the property ‘1 + 1 = 3’Let K be a knot in the 3-sphere S 3 , N (K ) the regular neighbourhood of K and E (K ) = cl(S 3 −N (K...
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 119 Số 1 - Trang 113-118 - 1996
A Connection between Correlation and ContingencyLet us consider a discontinuous bivariate distribution. That is, let us consider N × Q non-negative values p νq (ν = 1, 2, …, N; q = 1, 2, …, Q ), being the theoretical probabilities of the νth value of a variat...
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 31 Số 4 - Trang 520-524 - 1935
Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimationIf the probability differential of a set of stochastic variates contains k unknown parameters, the statistical hypotheses concerning them may be simple or composite. The hypothesis leading to a complete specification of the values of the k parameters is called a simple hypothesis, and the one leading to a collection of admissible sets a... ...
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 44 Số 1 - Trang 50-57 - 1948
On the converse to a theorem of R. Brauer
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 51 Số 1 - Trang 237-239 - 1955
Covering a sphere with congruent great-circle arcs1. Mikusiński ((2), Problem 84) asks: can we express the surface of a sphere (in Euclidean 3-space) as the union of non-overlapping congruent great-circle arcs? We give a partial answer to this question.
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 60 Số 4 - Trang 787-800 - 1964
The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and MethodsThe paper is concerned with the practical determination of the characteristic values and functions of the wave equation of Schrodinger for a non-Coulomb central field, for which the potential is given as a function of the distance r from the nucleus. The method used is to integrate a modification of the equation outwards from initial conditions co... ...
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 24 Số 1 - Trang 89-110 - 1928
Orthogonal measures and absorbing sets for Markov chainsFor a general state space Markov chain on a space (X ,
[Bscr ](X )),
the existence of a Doeblin decomposition, implying the state space can
be written as a countable
union of absorbing ‘recurrent’ sets and a transient set, is
known to be a consequence
of several different cond... ...
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 121 Số 1 - Trang 101-113 - 1997
On the Lusternik–Schnirelmann category of GrassmanniansThis note contains a partial generalization of the results of (3). We extend to arbitrary n and k the complete determination of the cases in which cup length
Mathematical Proceedings of the Cambridge Philosophical Society - Tập 79 Số 1 - Trang 129-134 - 1976
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