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Algebraic distance in algebraic cone metric spaces and its properties
In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.
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مطابق معمول حلقه توابع پیوسته حقیقی مقدار روی فضای تیخونوف x را با c(x) نمایش می دهیم. اگر برای هر نشاننده ی توپولوژیکf : x?y نگاشت القایی ?:c(y)?c(x) اپی مورفیس در کاتگوری حلقه های جابجایی باشد. آنگاه فضای xرا فضایی cr-epic مطلق می نامند.فضا های تقریبا فشرده و p-فضاهای لیندلوف از ساده ترین این نوع فضاها می باشند.
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We present the results of a friendly competition for formal verification of continuous and hybrid systems with nonlinear continuous dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2017. This year, three tools CORA, Flow* and Isabelle/HOL (in alphabetic order) participated. They are applied to solve the reacha...
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Although clausal propositional proofs are significantly smaller compared to resolution proofs, their size on disk is still too large for several applications. In this paper we present several methods to compress clausal proofs. These methods are based on a two phase approach. The first phase consists of a light-weight compression algorithm that can easily be added to satisfiability solvers that...
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ژورنال
عنوان ژورنال: Nature
سال: 1969
ISSN: 0028-0836,1476-4687
DOI: 10.1038/2221097c0