We show that an effective action of the one-dimensional torus $${\mathbb G}_m$$ on a normal affine algebraic variety X can be extended to semi-direct product G}_m\rightthreetimes {\mathbb G}_a$$ with same general orbit closures if and only there is divisor D consists -fixed points. This result applied study orbits automorphism group $${{\,\mathrm{Aut}\,}}(X)$$ X.

* Correspondence: [email protected] Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India Full list of author information is available at the end of the article Abstract Recently, the concepts of statistical convergence, ideal convergence and lacunary statistical convergence have been studied in intuitionistic fuzzy normed spaces. In this article, we study the concepts ...

make for the interpretations of findings and the implications thereof for educational practice and future research. A new section of Perspectives on Medical Education, entitled Statistical points and pitfalls, directly tackles these analytical issues. The overall purpose of this series is to help readers and researchers alike increase awareness of how to use statistics, why and how we fall into...

The purpose of this paper is to introduce the concepts of lacunary almost statistical limit and cluster points of sequences of fuzzy numbers. For any lacunary sequence = ( ); and for any sequence = ( ) of fuzzy numbers, we introduce new sets: Λ ( ), Γ ( ),Λ ̂ ( ),Γ ( ) and obtain some relations between these sets.