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Showing papers in "The Mathematical Gazette in 1946"




Journal ArticleDOI

35 citations



Journal ArticleDOI

13 citations






Journal ArticleDOI
TL;DR: Most of us have asked this question at some time or another; generally we have received some such answer as: "It's a gyroscopic effect, of course" as mentioned in this paper.
Abstract: Most of us have asked this question at some time or another; generally we have received some such answer as: “It’s a gyroscopic effect, of course” Further details are not easy to obtain, and the majority of books on Mechanics do not mention the subject.

5 citations




















Journal ArticleDOI
TL;DR: The main purpose of as mentioned in this paper is to show that Bromwich's proof of the Hardy-Landau converse of Cauchy's limit theorem can be made to yield, without any modification of the underlying idea, all the familiar converse theorems on Rieszian summability of the first order.
Abstract: This paper, while it does not merit the attention of workers in the field of summability, may be of some interest to readers of the Gazette who are using Bromwich's classical work on infinite series as a textbook. Its main purpose is to show that Bromwich's proof of the Hardy-Landau converse of Cauchy's limit theorem can be made to yield, without any modification of the underlying idea (due to A. E. Jolliffe), all the familiar converse theorems on Rieszian summability of the first order. The paper also shows that after having obtained these theorems, one can pass on, by a natural transition suggested by Szasz, to the corresponding results in the theory of summability by Dirichlet's series