ZIB

Hits per page

hits 1 - 2 | 2 hits

Sorting

Electronic Resource

Equilibrium theory of r-mer fluids (1981)

Costas, M. ; Epstein, H. I. ; Sanctuary, B. C. ; [et al.]

s.l. : American Chemical Society

The @journal of physical chemistry 〈Washington, DC〉 85 (1981), S. 1264-1266

add to mindlist on the mindlist

Details

Source: ACS Legacy Archives

Topics: Chemistry and Pharmacology , Physics

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1021/j150609a035

Permalink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

Electronic Resource

A structure theorem for the elementary functions and its application to the identity problem (1979)

Epstein, H. I. ; Caviness, B. F.

Springer

International journal of parallel programming 8 (1979), S. 9-37

add to mindlist on the mindlist

Details

ISSN: 1573-7640

Keywords: Symbolic mathematical computation ; algebraic simplification ; canonical form ; regular form ; structure theorem ; elementary transcendental functions ; exponential function ; logarithm function ; trigonometric functions ; hyperbolic functions ; algebraic independence ; differential algebra ; Liouville fields

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science

Notes: Abstract This paper uses elementary algebraic methods to obtain new proofs for theorems on algebraic relationships between the logarithmic and exponential functions. The main result is a multivariate version of a special case of the structure theorem due to Risch that gives, in a very explicit fashion, the possible algebraic relationships between the exponential and logarithm functions. The structure theorem has important applications to symbolic mathematical computation in that it in essence provides a canonical form for the elementary transcendental functions, and hence solves the identity problem for this class of functions. Such applications are discussed in the last section.