• Honam Mathematical Journal
• /
• v.40 no.4
• /
• pp.671-679
• /
• 2018

Abstract of the article can be written hereAbstract of the article can be written here. Recently, several authors have studied the symmetric identities for special functions(see [3,5-11,14,17,18,20-22]). In this paper, we study the symmetric identities of the degenerate modified q-Euler polynomials under the symmetric group.

• Journal of Korean Physical Therapy Science
• /
• v.5 no.3
• /
• pp.691-696
• /
• 1998

Objectives : Asymmetrical weight bearing during standing has been identified as a common problem in persons with hemiplegia. This study examined the effect of auditory and visual feedback on symmetric weight bearing with hemiplegia. Method: The intervention program was instituted for 10 min each day with a total of twelve treatment sessions. The machine which was used for this study is the Weight Balancer, OG GIKEN, WB-202, Japan Result: There was a significant improvement of symmetric weight distribution in auditory feedback group whereas the visual feedback group disclosed some improvement but not significantly. There was no significant change in control group. Conclusion: Results of this study suggest that an auditary feedback group can be more effective than visual feedback group or control group in helping the persons with hemiplegia achieve symmetric stance.

• Journal of applied mathematics & informatics
• /
• v.16 no.1_2
• /
• pp.453-459
• /
• 2004

A left-invariant flat Riemannian connection on a Lie group makes its Lie algebra a left symmetric algebra compatible with an inner product. The left symmetric algebra is decomposed into trivial ideal and a subalgebra of e(l). Using this result, the Lie group is embedded isomorphically into the direct product of O(l) $\times$ $R^{k}$ for some nonnegative integers l and k.

• Communications of the Korean Mathematical Society
• /
• v.38 no.3
• /
• pp.913-924
• /
• 2023

We consider the number of colors for colorings of links by the symmetric group S₃ of degree 3. For knots, such a coloring corresponds to a Fox 3-coloring, and thus the number of colors must be 1 or 3. However, for links, there are colorings by S₃ with 4 or 5 colors. In this paper, we show that if a 2-bridge link admits a coloring by S₃ with 5 colors, then the link also admits such a coloring with only 4 colors.

• Journal of the Korean Society for Precision Engineering
• /
• v.29 no.8
• /
• pp.887-895
• /
• 2012

Lamb waves have received a great attention in the structural health monitoring (SHM) societies because they can propagate over relatively large distances in wave guides such as thin plates and shells. The time-of-flights of Lamb waves can be used to detect damages in a wave guide. However, due to the inherent dispersive and multi-mode characteristics of Lamb waves, one must decompose the Lamb wave modes into the symmetric and anti-symmetric modes for SHM applications. Thus, this paper proposes a decomposition method for the two-mode Lamb waves based on two rules: the group velocity ratio rule and the mode amplitude ratio rule. The group velocity ratio rule means that the ratio of the group velocities of fundamental symmetric and anti-symmetric modes is constant, while the mode amplitude ratio rule means that the magnitude of the fundamental symmetric modes of all measured response signals should be always larger than those of the anti-symmetric mode once the input signal is applied so that the magnitude of fundamental symmetric mode of excited Lamb-wave is larger than that of anti-symmetric mode, and vice versa. The proposed method is verified through the experiments ducted for an aluminum plate specimen.

• Bulletin of the Korean Mathematical Society
• /
• v.54 no.6
• /
• pp.2029-2041
• /
• 2017

The main aim of this article is to study symmetric (v, k, ${\lambda}$) designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSU(3, q). We indeed show that such designs must be complete.

• Journal of the Korean Mathematical Society
• /
• v.34 no.3
• /
• pp.633-651
• /
• 1997

For a non-degenerate symmetric bilinear form $\sigma$ on a finite dimensional vector space E, the Jordan algebra of $\sigma$-symmetric operators has a symmetric cone $\Omega_\sigma$ of positive definite operators with respect to $\sigma$. The cone $C_\sigma$ of elements (x,y) \in E \times E with \sigma(x,y) \geq 0$ gives the compression semigroup. In this work, we show that in the sutomorphism group of the tube domain over $\Omega_\sigma$, this semigroup has a UDL and Ol'shanskii decompositions and is exactly the compression semigroup of $\Omega_sigma$.

• Bulletin of the Korean Mathematical Society
• /
• v.41 no.2
• /
• pp.359-369
• /
• 2004

The purpose of this paper is to compare the radicals of a left symmetric algebra considered in 〔1〕 when the associated Lie algebra is nilpotent. In this case, we show that all the radicals considered there are equal. We also consider some other radicals and show they are also equal.

• Bulletin of the Korean Mathematical Society
• /
• v.43 no.1
• /
• pp.119-123
• /
• 2006

Let G be a symmetric group. In this paper we describe a method that for a certain irreducible character X of G it finds a subgroup H such that the restriction of X on H has a linear constituent with multiplicity one. Then using a well known algorithm we can construct a representation of G affording X.

• Kyungpook Mathematical Journal
• /
• v.51 no.3
• /
• pp.261-281
• /
• 2011

In this paper, we will construct symmetric links by using the method adapted from the graph theory, and study a Seifert matrix of a symmetric link from the information of the Seifert matrix of the base link and the corresponding group action.