• Communications of the Korean Mathematical Society
• /
• v.24 no.3
• /
• pp.361-366
• /
• 2009

In this paper we consider constructive function triples on the real numbers $\mathbb{R}$ and on (not necessarily commutative) integral domains D which permit the construction of a multitude of d-algebras via these constructive function triples. At the same time these constructions permit one to consider various conditions on these d-algebras for subsets of solutions of various equations, thereby producing geometric problems and interesting visualizations of some of these subsets of solutions. In particular, one may consider what notions such as "locally BCK" ought to mean, certainly in the setting provided below.

• The Pure and Applied Mathematics
• /
• v.13 no.4 s.34
• /
• pp.269-280
• /
• 2006

Recently $L_{\delta}$-groups were introduced in the study of geometric group theory. Three levels of $L_{\delta}$-groups are difined and discussed. It is shown that each of these levels of $L_{\delta}$-groups is closed under taking a direct product.

• Research in Mathematical Education
• /
• v.23 no.3
• /
• pp.165-179
• /
• 2020

In this article, the author's intent is to begin a conversation centered on the question: How was the integration of digital technology into elementary mathematics classrooms framed? In the first part of the discussion, the author provides a historical perspective of the development of theoretical perspectives of the integration of digital technology in learning mathematics. Then, the author describes three theoretical perspectives of the role of digital technology in mathematics education: microworlds, instrumental genesis, and semiotic mediation. Last, based on three different theoretical perspectives, the author concludes the article by asking the reader to think differently.

• Journal of the Korean Operations Research and Management Science Society
• /
• v.3 no.2
• /
• pp.29-39
• /
• 1978

Scarcely a month passes that another paper lamenting the short-comings of either Management Information Systems (MIS) or Management Science (MS) doesn't appear in the literature. It is unfortunate that these disciplines which have been universally commended to management and which obviously have great potential, have fallen into difficult times. It is likewise unfortunate that another promising construct--the corporate model--will likely meet a similar fater unless the present course of events is altered.

• Bulletin of the Korean Mathematical Society
• /
• v.57 no.4
• /
• pp.1033-1048
• /
• 2020

We synthesize the recent work done on conditionally defined Lucas and Fibonacci numbers, tying together various definitions and results generalizing the linear recurrence relation. Allowing for any initial conditions, we determine the generating function and a Binet-like formula for the general sequence, in both the positive and negative directions, as well as relations among various sequence pairs. We also determine conditions for periodicity of these sequences and graph some recurrent figures in Python.

• Honam Mathematical Journal
• /
• v.26 no.4
• /
• pp.471-481
• /
• 2004

In this paper we introduce the notion of a (pre-)Coxeter algebra and show that a Coxeter algebra is equivalent to an abelian group all of whose elements have order 2, i.e., a Boolean group. Moreover, we prove that the class of Coxeter algebras and the class of B-algebras of odd order are Smarandache disjoint. Finally, we show that the class of pre-Coxeter algebras and the class of BCK-algebras are Smarandache disjoint.

• 제어로봇시스템학회:학술대회논문집
• /
• 1995.10a
• /
• pp.275-278
• /
• 1995

In this paper, we consider a dynamic shape control problem with an example of controlling a flexible beam shape. Mathematical formulations are obtained by employing the Green's function approach. Necessary conditions for optimality are derived by considering the quadratic performance criteria. Numerical results for both of the dynamic and the static cases are obtained and compared.

• Proceedings of the SAREK Conference
• /
• 2007.06a
• /
• pp.48-48
• /
• 2007

• Proceedings of the Korean Magnetic Resonance Society Conference
• /
• 1999.02a
• /
• pp.23-23
• /
• 1999

• Kyungpook Mathematical Journal
• /
• v.56 no.2
• /
• pp.577-582
• /
• 2016

In this paper we consider all orientation-preserving ${\mathbb{Z}}_4$-actions on 3-dimensional handlebodies $V_g$ of genus g > 0. We study the graph of groups (${\Gamma}(v)$, G(v)), which determines a handlebody orbifold $V({\Gamma}(v),G(v)){\simeq}V_g/{\mathbb{Z}}_4$. This algebraic characterization is used to enumerate the total number of ${\mathbb{Z}}_4$ group actions on such handlebodies, up to equivalence.