Inverse functional equations are studied for the partition functions and for the correlation functions of various models. The validity of the inverse relation for the partition function is justified ...

Abstract: In this paper, we discuss the continuousness of inverse transition relations of cellular automata. Generally, the inverse of a function is a relation and is not always a function. Our ...

"Relations and Functions" stand out as crucial topics within algebra. These terms, though related, hold distinct mathematical meanings. It's common to feel uncertain about their disparities. To ...

Abstract: We construct a domain-theoretic calculus for Lipschitz and differentiate functions, which includes addition, subtraction and composition. We then develop a domain-theoretic version of the ...

This is a preview. Log in through your library . Abstract The inverse-function theorem is generalized to multivalued functions of the form f(x) + K, where f is a differentiable single-valued function ...