• Communications of the Korean Mathematical Society
• /
• v.33 no.2
• /
• pp.473-484
• /
• 2018

In this paper, we discuss how the operational calculus can be exploited to the theory of generalized special functions of many variables and many indices. We obtained the generating relations for 3-index, 3-variable and 1-parameter Hermite polynomials. Some mixed type generating relations and bilateral generating relations of many indices and many variable like Lagurre-Hermite and Hermite-Sister Celine's polynomials are also obtained. Further we generalize some results on old symbolic notations using operational identities.

• Communications of the Korean Mathematical Society
• /
• v.30 no.4
• /
• pp.429-438
• /
• 2015

In this paper, we discuss how the operational calculus can be exploited to the theory of mixed generating functions. We use operational methods associated with multi-variable Hermite polynomials, Laguerre polynomials and Bessels functions to drive identities useful in electromagnetism, fluid mechanics etc. Certain special cases giving bilateral generating relations related to these special functions are also discussed.

• Kyungpook Mathematical Journal
• /
• v.60 no.4
• /
• pp.731-752
• /
• 2020

We introduce the p-deformation of generalized Humbert polynomials. For these polynomials, we derive the differential equation, generating function relations, Fibonacci-type representations, and recurrence relations and state the companion matrix. These properties are illustrated for certain polynomials belonging to p-deformed generalized Humbert polynomials.

• Journal of Family Relations
• /
• v.21 no.2
• /
• pp.149-167
• /
• 2016

Objective: The purpose of this study is to verify the effect of receptivity to multiculturalism on marriage conflict of international marriage couples and mediation effect of communication between two variables. Method: The subjects are 205 individuals of mixed couples who are living in S. Korea. The mediation analysis was based on structural equation modeling followed by bootstrapping with the use of AMOS 22.0. The demographic variables are also controlled in the data analysis. Goodness-of-fit test using RMR, GFI, IFI, TLI, and CFI was conducted. Results: The study results were as follows: first, receptivity to multiculturalism had a direct effect on marital conflict and communication; second, communication had a direct effect on marital conflict; third, communication had a mediation effect between receptivity to multiculturalism and marital conflict. Conclusions: We could verify in this study that receptivity to multiculturalism and communication is the important factor for marital conflicts of mixed couples. More specifically, communication has a critical role for marriage life of mixed couples.

• Proceedings of the Korean Society For Composite Materials Conference
• /
• 2001.05a
• /
• pp.147-150
• /
• 2001

In the present work, a linear static analysis is presented for thin-walled prismatic box-beams made of generally anisotropic materials. A mixed beam theory has been used to model and carry out the analysis. Three different constitutive relations are assessed into the beam formulation. Simple layup cases having symmetric or anti-symmetric configuration have been chosen and tested to clearly show the effects of elastic couplings of the beam. Both 2D and 3D finite element structural analysis using the MSC/NASTRAN has been performed to validate the current analytical results. Results show that appropriate assumptions for the constitutive equations are important and prerequisite for the accurate prediction of beam stiffness constants and also for the beam behavior.

• Proceedings of the Korean Society For Composite Materials Conference
• /
• 2005.04a
• /
• pp.187-190
• /
• 2005

A simple beam model based on a mixed method is proposed for the analysis of thin-walled composite blades with a two-cell airfoil section. A semi-complementary energy functional is used to obtain the beam force-displacement relations. The theory accounts for the effects of elastic couplings, shell wall thickness, warping, and warping restraint. All the kinematic relations as well as the cross-section stiffnesses are evaluated in a closed-form through the current beam formulation. The theory has been applied to two-cell composite blades with extension-torsion couplings and fairly good correlation has been observed in comparison with a detailed analysis and other literature.

• Journal of Electrical Engineering and Technology
• /
• v.9 no.1
• /
• pp.90-97
• /
• 2014

Nash Cournot Equilibrium (NCE) has been widely used in a competitive electricity market to analyze generation firms' strategic production quantities. Congestion on a transmission network may lead to a mixed strategy NCE. Mixed strategy is complicated to understand, difficult to compute, and hard to implement in practical market. However, Stackelberg model based equilibrium does not have any mixed strategy, even under congestion in a transmission line. A guide to understanding mixed strategy equilibrium is given by analyzing a cycling phenomenon in the players' best choices. This paper connects the concept of leader-follower in Stackelberg model with relations between generation firms on both sides of the congested line. From the viewpoint of social welfare, the surplus analysis is presented for comparison between the NCE and the Stackelberg equilibrium (SE).

• Proceeding of Spring/Autumn Annual Conference of KHA
• /
• 2000.11b
• /
• pp.137-142
• /
• 2000

The objectives of this study were to be properly understood the residential function and its relations to the mixed functions of the mixed-use buildings and further to provide useful information in future basic planning of mixed-use buildings. 1) The satisfaction rates of the public space and the supplementary facilities were high in general, but the satisfactory rate of the convenience facilities was low. 2) The household characteristics were analyzed as variables that differences among satisfaction rates. However, they were not found to be influential factors in determining residential satisfaction. 3) The residential characteristics were analyzed as variables that differences among satisfaction rates. As a result, the floor and direction of the residence were more meaningful variables than the scale of the residence.

• Journal of Mechanical Science and Technology
• /
• v.19 no.11
• /
• pp.2016-2024
• /
• 2005

In this work, a mixed beam approach that combines both the stiffness and the flexibility methods has been performed to analyze the coupled composite blades with closed, two-cell cross-sections. The Reissner's semi-complementary energy functional is used to derive the beam force-displacement relations. Only the membrane part of the shell wall is taken into account to make the analysis simple and also to deliver a clear picture of the mixed method. All the cross section stiffness coefficients as well as the distribution of shear across the section are evaluated in a closed-form through the beam formulation. The theory is validated against experimental test data, detailed finite element analysis results, and other analytical results for coupled composite blades with a two-cell airfoil section. Despite the simple kinematic model adopted in the theory, an accuracy comparable to that of two-dimensional finite element analysis has been obtained for cases considered in this study.

• 한국공간정보시스템학회:학술대회논문집
• /
• 2004.05a
• /
• pp.190-196
• /
• 2004

Thick composite laminated plates is considered in 3D finite-element. To consider continuity of transverse stresses and displacement field, mixed finite-element has been developed by using layerwise theory and the minimum potential energy principle. Mixed finite-element has been enforced through the thick direction, Z, of a laminated plate by considering six degree-of-freedoms per node. Six degree-of-freedoms are three displacement components in the coordinate axes directions and three transverse stress components ${\sigma}_z,\;{\tau}_{xz},\;{\tau}_{yz}$. The model maintain the fundamental elasticity relations that are stress-strain relation and displacement-strain relation, because the transverse stress components invoked as nodal degrees of freedom by using the fundamental elasticity relationship between th components of stress and displacement. Random vibration analysis of the model is performed by computing consistent mass matrix and computing covariance in frequency domain technique.