# Mathematician:Samuel Beatty

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## Contents

## Mathematician

Canadian mathematician, best known for Beatty sequences.

## Nationality

Canadian

## History

- Born: 1881 in Owen Sound, Ontario, Canada
- Died: 1970 in Toronto, Canada

## Theorems and Definitions

- Beatty Sequence
- Complementary Beatty Sequence
- Beatty's Theorem, also known as the Rayleigh Theorem, for Lord Rayleigh

Results named for **Samuel Beatty** can be found here.

Definitions of concepts named for **Samuel Beatty** can be found here.

## Publications

- 1917:
*Derivation of the Complementary Theorem from the Riemann-Roch Theorem* - 1926:
*Problems for Solutions: 3173-3180*(*Amer. Math. Monthly***Vol. 33**: 159) www.jstor.org/stable/2300153 - 1927:
*Solutions: 3177*(*Amer. Math. Monthly***Vol. 34**: 159) www.jstor.org/stable/2298716 - 1944:
*Theory of Algebraic Functions based on the Use of Cycles*(with Muriel Wales) - 1948:
*On the minimum value of the Riemann-Roch expression for order-bases in the large* - 1948:
*On the number of conditions to apply to a function $R (Z, U)$ to build it on an assigned local order-basis $t$* - 1952:
*A symmetric proof of the Riemann-Roch theorem, and a new form of the unit theorem*((with N.D. Lane) - 1954:
*Upper and lower estimates for the area of a triangle* - 1956:
*Difference methods in the theory of local order bases and their equivalent normalized function bases*