Various improvements in the formula which was discovered by Wallis in 1669, were studied by D. K. Kazarinoff in No. 40 of these Notes (December 1956).
Mathematical Notes Template
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About the Mathematical Notes format
Mathematical Notes is a peer-reviewed journal published by Cambridge University Press, covering Mathematics and Applications, History and Theory of Mathematics, Advanced Theoretical and Applied Studies in Material Sciences and Geometry.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, Mathematical Notes 12 (2023) 45–58.
Formats any DOI in the closest standard style — Mathematical Notes has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Mathematics and Applications History and Theory of Mathematics Advanced Theoretical and Applied Studies in Material Sciences and Geometry Diverse Scientific and Economic Studies Educational Robotics and Engineering |
| ISSN | 1757-7489 |
| h-index | 5 |
| i10-index | 2 |
| Total citations | 157 |
| Top institutions publishing here | Bangor University |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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A considerable amount is known about the latent roots of matrices of the form in the case when each cross-product of non-diagonal elements, a i c i-1 , is positive. One forms the sequence of polynomials f r (λ) = |L r −λI| for r = 1, 2, … n , and observes that then…
A lamina of mass m can be replaced by an equimomental system of three equal particles m placed at the vertices of a maximum inscribed triangle of a momental ellipse for the centre of mass. Similarly any rigid body can be replaced by an equimomental system of four equal particles ( cf. Routh, Elementary Rigid…
The following note gives a proof of the theorem that if x , y , z are any three values of u which satisfy the differential equation where l , m , n are constants. If the dots denote differentiation with respect to t , we have
1. If there are n individuals A 1 , A 2 ,.…, A n , in how many ways can they be put into groups? For example, if there are three individuals A , B , C , they may be grouped as that is, in 5 ways, the respective subgroups, 1, 3, 1 in…