Two theorem tables of matrix algebra
نویسندگان
چکیده
منابع مشابه
Algebra of Behavior Tables∗†
A design formalization based on behavior tables was presented at Lfm97. This paper describes ongoing work on a supporting tool, now in development. The goal is to make design derivation, the interactive construction of correct implementations, more natural and visually palatable while preserving the benefits of formal manipulation. We review the syntax and semantics of behavior tables, introduc...
متن کاملAlgebra of Normal Function Tables
In contrast to classical algebra and analysis the functions encountered in computer science are usually piecewise continuous functions or functions whose evaluation rules change dramatically depending on a subset of the input values. Because of the pervasiveness of the if-then-else construction in programming, we have to extend classical mathematical methods to handle this kind of object. We ap...
متن کاملFundamental Theorem of Algebra
The following propositions are true: (1) For all natural numbers n, m such that n 6= 0 and m 6= 0 holds (n ·m− n − m) + 1 0. (2) For all real numbers x, y such that y > 0 holds min(x,y) max(x,y) ¬ 1. (3) For all real numbers x, y such that for every real number c such that c > 0 and c < 1 holds c · x y holds y ¬ 0. (4) Let p be a finite sequence of elements of R. Suppose that for every natu...
متن کاملFundamental theorem of algebra
In spite of its name, there is no purely algebraic proof of the theorem, since any proof must use the completeness of the reals (or some other equivalent formulation of completeness), which is not an algebraic concept. Additionally, it is not fundamental for modern algebra; its name was given at a time in which algebra was mainly about solving polynomial equations with real or complex coefficie...
متن کاملTowards an Algebra of Routing Tables
We use well-known algebraic concepts like semirings and matrices to model and argue about Wireless Mesh Networks. These networks are used in a wide range of application areas, including public safety and transportation. Formal reasoning therefore seems to be necessary to guarantee safety and security. In this paper, we model a simplified algebraic version of the AODV protocol and provide some b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1961
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1961-0118727-1