We get a version of the colouring property Pr1 proving $$\Pr_1(\lambda,\lambda,\lambda,\partial)$$ always when $$\lambda= \partial^+,\partial $$ are regular cardinals and some stationary subset $$\lambda$$ consisting ordinals cofinality $$< \partial$$ do not reflect in any ordinal \lambda$$ .

imamiah jurisprudents have disagreed about the requirement of successor&apos;s justice in contractual will from past to now. some of them have considered it as the condition of accuracy of will, and others consider it ineffective in accuracy and inaccuracy of will. considering that this issue has much scientific and practical results and that if we accept any of these two views, our understandi...

This study examined 4-year-old children’s understanding of the successor function, the concept that for every positive integer there is a unique next integer. Children were tested in the context of cardinal numbers and ordinal numbers. The results suggest that knowledge of the successor for cardinal numbers precedes that for ordinal numbers. In addition, for both cardinal and ordinal numbers, c...

After several years of hoping that more recent programs would allow his graph tool gnet to be quietly forgotten, the author has finally bowed to requests from many colleagues to resurrect the project. This paper reviews some aspects of the history of stratigraphic software and presents an early prototype of jnet, a successor to gnet written in Java. jnet is intended to offer similar facilities ...

This paper investigates the relations K+ --t (a): and its variants for uncountable cardinals K. First of all, the extensive literature in this area is reviewed. Then, some possibilities afforded by large cardinal hypotheses are derived, for example, if K is measurable, then K + + (K + K + 1, a): for every a < K +. Finally, the limitations imposed on provability in ZFC by L and by relative consi...

The theory of impulsive state feedback control is used to establish a mathematical model in the pest management strategy. Then, the qualitative analysis of the mathematical model was provided. Here, a successor function in the geometry theory of differential equations is used to prove the sufficient conditions for uniqueness of the 1-periodic solution. It proved the orbital asymptotic stability...