Displaying similar documents to “Ordinary differential equations and their exponentials”

Fields of surreal numbers and exponentiation

Lou van den Dries, Philip Ehrlich (2001)

Fundamenta Mathematicae

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We show that Conway's field of surreal numbers with its natural exponential function has the same elementary properties as the exponential field of real numbers. We obtain ordinal bounds on the length of products, reciprocals, exponentials and logarithms of surreal numbers in terms of the lengths of their inputs. It follows that the set of surreal numbers of length less than a given ordinal is a subfield of the field of all surreal numbers if and only if this ordinal is an ε-number....

Functorial Models of Spatio-Temporal Landscape Field of the Earth: Methods of Comparative-Geographical Studies Based on Data of Remote Sensing

E. A. Istomina (2009)

Mathematical Modelling of Natural Phenomena

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This paper suggests models of the landscape complexes based on the theory of complex systems and category-functorial approach. With the use of the space Landsat images the existence of the Earth's landscape field is proved and criteria of its parameter characterization is suggested. The unity of spatiotemporal changes of the landscape units is substantiated.

Coherent euclidean geometry

Rosanna Succi Cruciani (1985)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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