• Microbiology and Biotechnology Letters
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• v.21 no.5
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• pp.453-460
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• 1993

The extracellular bacteriolytic enzyme from alkalophilic Bacillus sp. YJ-451 was endopeptidase which hydrolyzes the peptide bond at the amino group of D-glutamic acid in the peptidoglycan. Protoplast transfomation system of B. subtilis by the lytic enzyme that differs, in mechanisms, from lysozyme which was used to transformation of B. subtilis was investigated. High protoplast yield was obtained from cells cultured in PAB at the late logarithmic growth phase.

• Bulletin of the Korean Mathematical Society
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• v.34 no.3
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• pp.469-481
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• 1997

In this paper we define the generalized regular relations with respect to homorphisms and find some properties of those in transformation groups. And we also investigate the equivalent conditions for the generalized regular relations to be transitive.

• Honam Mathematical Journal
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• v.34 no.4
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• pp.495-504
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• 2012

Let G be a semialgebraic group and M a proper semi-algebraic G-set which is locally complete. In this paper we show that the orbit space M/G has a semialgebraic structure such that the orbit map is semialgebraic.

• Journal of the Chungcheong Mathematical Society
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• v.11 no.1
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• pp.59-71
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• 1998

In this paper we define a regular relation with respect to a homomorphism in transformation groups and we find the equivalent conditions for the relation to be an equivalence relation.

• Bulletin of the Korean Mathematical Society
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• v.60 no.2
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• pp.307-313
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• 2023

In this paper, we study the n-dimensional Möbius transformation. We obtain several conjugacy invariants and give a conjugacy classification for n-dimensional Möbius transformation.

• Journal for History of Mathematics
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• v.29 no.3
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• pp.157-172
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• 2016

Sophus Lie's research is regarded as one of the most important mathematical advancements in the $19^{th}$ century. His pioneering research in the field of differential equations resulted in an invaluable consolidation of calculus and group theory. Lie's group theory has been investigated and constantly modified by various mathematicians which resulted in a beautifully abstract yet concrete theory. However Lie's early intentions and ideas are lost in the mists of modern transfiguration. In this paper we explore Lie's early academic years and his object of studies which clarify the ground breaking ideas behind his theory.

• Bulletin of the Korean Mathematical Society
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• v.51 no.4
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• pp.1055-1062
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• 2014

Let $O_n$ and $PO_n$ denote the order-preserving transformation and the partial order-preserving transformation semigroups on the set $X_n=\{1,{\ldots},n\}$, respectively. Then the strictly partial order-preserving transformation semigroup $SPO_n$ on the set $X_n$, under its natural order, is defined by $SPO_n=PO_n{\setminus}O_n$. In this paper we find necessary and sufficient conditions for any subset of SPO(n, r) to be a (minimal) generating set of SPO(n, r) for $2{\leq}r{\leq}n-1$.

• Journal of the Korean Society for Heat Treatment
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• v.32 no.1
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• pp.17-28
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• 2019

Jominy hardenability curves of low alloy steel containing less than 5 wt.% of alloying elements in total were calculated by applying Scheil's rule of additivity to pre-calculated isothermal transformation curve. Isothermal transformation curve for each phase in steel was approximated as a simple mathematical equation by using Kirkaldy's approach and all coefficients in the equation were estimated from experimental temperature-time-transformation (TTT) and/or continuous cooling transformation (CCT) data in the literature. Then jominy test with simple boundary conditions was performed in computer by applying the finite difference scheme. The resultant cooling curves at each location along a longitudinal direction of Jominy bar were applied to calculate phase fractions as well as mechanical properties such as micro Vickers hardness. The simulated results were compared with experimental CCT data and Jominy curves in the literature.

• Proceedings of the Korean Magnestics Society Conference
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• 2003.12a
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• pp.241-241
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• 2003

• Journal of the Chungcheong Mathematical Society
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• v.8 no.1
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• pp.71-77
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• 1995

In this paper, we define a subgroup S(X, ${\gamma}$) of the group of automorphisms of universal minimal sets and give a necessary and sufficient condition for a minimal transformation group to be regular.