• Journal of the Korean Mathematical Society
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• v.60 no.5
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• pp.1073-1085
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• 2023

A partition of n is called a t-core partition if none of its hook number is divisible by t. In 2019, Hirschhorn and Sellers [5] obtained a parity result for 3-core partition function a3(n). Motivated by this result, both the authors [8] recently proved that for a non-negative integer α, a3αm(n) is almost always divisible by an arbitrary power of 2 and 3 and at(n) is almost always divisible by an arbitrary power of pji, where j is a fixed positive integer and t = pa11pa22···pamm with primes pi ≥ 5. In this article, by using Hecke eigenform theory, we obtain infinite families of congruences and multiplicative identities for a2(n) and a13(n) modulo 2 which generalizes some results of Das [2].

• Honam Mathematical Journal
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• v.8 no.1
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• pp.51-74
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• 1986

The thery of measure is significant in that we extend from it to the theory of integration. AS specific metric outer measures we can take Hausdorff outer measure and Lebesgue-Stieltjes outer measure connecting measure with monotone functions.([12]) The purpose of this paper is to find some properties of Lebesgue-Stieltjes measure by extending it from $R^1$ to $R^n(n{\geq}1)$ $({\S}3)$ and differentiation of the integral defined by Borel measure $({\S}4)$. If in detail, as follows. We proved that if $_n{\lambda}_{f}^{\ast}$ is Lebesgue-Stieltjes outer measure defined on a finite monotone increasing function $f:R{\rightarrow}R$ with the right continuity, then $$_n{\lambda}_{f}^{\ast}(I)=\prod_{j=1}^{n}(f(b_j)-f(a_j))$$, where $I={(x_1,...,x_n){\mid}a_j$<$x_j{\leq}b_j,\;j=1,...,n}$. (Theorem 3.6). We've reached the conclusion of an extension of Lebesgue Differentiation Theorem in the course of proving that the class of continuous function on $R^n$ with compact support is dense in $L^p(d{\mu})$ ($1{\leq$}p<$\infty$) (Proposition 2.4). That is, if f is locally $\mu$-integrable on $R^n$, then $\lim_{h\to\0}\left(\frac{1}{{\mu}(Q_x(h))}\right)\int_{Qx(h)}f\;d{\mu}=f(x)\;a.e.(\mu)$.

• Structural Engineering and Mechanics
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• v.8 no.6
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• pp.623-637
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• 1999

This paper presents a four-noded quadrilateral $C^0$ strain plate element for the analysis of thick laminated composite plates. The element formulation is based on: 1) the third-order shear deformation theory; 2) assumed strain element formulation; and 3) interrelated edge displacements and rotations along element boundaries. Unlike the existing displacement-type composite plate elements based on the third-order theory, which rely on the $C^1$-continuity formulation, the present plate element is of $C^0$-continuity, and its element stiffness matrix is evaluated explicitly. Because of the third-order expansion of the in-plane displacements through the thickness, the resulting theory and hence elements do not need shear correction factors. The explicit element stiffness matrix makes the present element more computationally efficient than the composite plate elements using numerical integration for the analysis of thick layered composite plates.

• Korean Journal of Optics and Photonics
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• v.17 no.4
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• pp.305-311
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• 2006

We propose a 7-level atom model, which takes into account two-photon coherence effects in saturation absorption spectroscopy. Using this model we explained spectral change with laser intensity and some of crossover resonance lines, which cannot be explained with Nakayama theory. The 7-level model consists of two upper levels and five lower levels, which account for $\pi-\pi$ polarization of both pump and probe beams in Zeeman sub levels. We compared our 7-level model with 4-level Nakayama theory for 5S$_{1/2}$ - 5P$_{1/2}$ transition line in $^{85}$Rb atoms. The results of the 7-level model calculation agree well the saturation absorption spectra data according to laser intensities.

• The Journal of Korean Medicine
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• v.25 no.2
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• pp.151-164
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• 2004

Objectives : The objective of this study was to examine the biopsychological traits of each Sasang type from a personality theory perspective. Methods : A review of different theories of personality is provided, in addition to review of ten previous studies on the psychological characteristics of the Sasang types. Results : 1. Similarities and differences were found between Sasang typology and Western theories of personality. 2. The prevalence of Sasang type was 28:36:36 (So-Yang:Tae-Eum:So-Eum), and the majority of the study sample were males in their twenties. 3. The Yin-Yang and Large-Small axes of Sasang typology were comparable to Eysenck's Extraversion and Neuroticism dimension. So-Yang type showed high extraversion and low neuroticism, and So-Eum type exhibited low extraversion and high neuroticism. Tae-Eum type was extravert and neurotic, and highly distinctive in such physical traits as Body Mass Index and blood triglyceride concentration. 4. We make recommendations for future studies on Sasang typology within a biopsychosocial and cognitive framework. Conclusions : This study demonstrates the possibility of Sasang typology being explicable from a cross-cultural biopsychosocial theory.

• Bulletin of the Korean Space Science Society
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• 1992.10a
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• pp.11-11
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• 1992

The most celebrated problem in artificial satellite theory is undoubtedly the critical inclination problem. The KITSAT-1 satellite launched by Arian 42P from Guiana in August 11, 1992 has orbital inclination close to the critical value cos-1(1/rs). In that case, there is a singularity in some perturbation terms and therefore perigee will be fixed because do/dt is equals to zero. But actually the long periodic behaviour in argument of perigee, u is affected by luni-solar gravity andrelativistic effect, etc. Luni-solar gravity induces periodic perturbations in allorbital elements except the semi-major axis, and secular variations in 0, u and M.We have obtained nodal rate and inclination variations in case of the KITSAT-1.In this paper, we will also show the geopotential perturbations in 0, M of the Satellite in CIUding J2, J3, J4, J22 terms.

• Progress in Superconductivity
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• v.1 no.2
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• pp.85-88
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• 2000

The temperature dependent Josephson critical current $J_c(T)/J_c(0)$ between high $T_c$ superconductors along the a-axis is theoretically studied. The interface influence on the wave functions of quasi-particles is included in the theory within the framework of the two-dimensional t-J model. It is found that the experimental results can be satisfactorily explained by the present model with d wave pairing symmetry.

• Nuclear Engineering and Technology
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• v.56 no.4
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• pp.1277-1283
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• 2024

This study presents a radiation-induced thermal conductivity degradation (TCD) model of zirconium as compared to the conventional UO2 TCD model. We derived the governing factors of the radiation-induced TCD model, such as maximum TCD value and temperature range of TCD. The maximum TCD value was derived by two methods, in which 1) experimental result of 32 % TCD was directly utilized as the maximum TCD value and 2) a theoretical approach based on dislocation was applied to derive the maximum TCD value. Further, the temperature range of TCD was determined to be 437-837 K by 1) experimental results of post-annealing of irradiation hardening as compared to 2) the rate theory and thermal equilibrium. Consequently, the radiation-induced TCD model of zirconium was derived to be $f_r=1-{\frac{0.32}{1+{\exp}\,\{(T-637)/45\}}}$. Because the thermal conductivity of zirconium is one of the factors determining the storage and transport system, this newly proposed model could improve the safety analysis of spent fuel storage systems.

• Journal of Science of Art and Design
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• v.2
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• pp.193-221
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• 2000

The postmodern culture since the later 20C breaks downa tradition a relation between the reality and languages or sign images expressing it. It develops in the way to review the meaning on the object's imitation or the representation to have been followed since Plato and represent the new state and concept of expressed things. Also, The visual art leads an change of paradigm by images giving up the visual resemblance or the function of representation and endowing them with the new sense. This essay has a purpose to study an important discussion about this change centered on Baudrillard and Lacan. A sociologist Baudrillard promotes the concept of 'simulation' through detecting the reality and the social and historical state of the image. Studying on the course of this change, he calls the step that the image escapes from the stage to reflect the reality and become the pure imitation by itself simulation. The image in the stage of simulation is called 'hyperreality' because it doesn't have any an indicator or a substitute and happens by models without the original or the reality. So he asserts that art is not to contain some absoluteness or transcendency as the past, but to be as the spectacle with characteristics of meaningless, emptiness, contingency. Lacan dismantles the concept of the absolute Cogito to have become the center of the western ideology, and creates the concept of 'Other'. He concludes also the reality exists but can't be captured, and it's impossible for the thinking subject can reach it. The concept of new image which can be thought as the Symbolic in Lacan is 'Signifier without Signified' since it isn't possible to be the transcendent Signifier fixing the meaning finally in it. His 'Gaze' theory is which to be emitted in other's area determines the subject. Equally Baudrillard and Lacan sets up the new state of the image through the end of representation system As for Baudrillard, art intends to the worthlessness and is nothing but imagination. But in Lacan a picture represents the subject being in process by the dialectic of desire.

• Structural Engineering and Mechanics
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• v.12 no.2
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• pp.135-156
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• 2001

Analytical solutions and finite element results of laminated composite plates with smart material layers embedded in them are presented in this study. The third-order plate theory of Reddy is used to study vibration suppression characteristics. The analytical solution for simply supported boundary conditions is based on the Navier solution procedure. The velocity feedback control is used. Parametric effects of the position of the smart material layers, material properties, and control parameters on the suppression time are investigated. It has been found that (a) the minimum vibration suppression time is achieved by placing the smart material layers farthest from the neutral axis, (b) using thinner smart material layers have better vibration attenuation characteristics, and, (c) the vibration suppression time is larger for a lower value of the feedback control coefficient.