• Journal of the Korean Mathematical Society
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• v.61 no.3
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• pp.445-459
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• 2024

In this paper, by establishing the direct method of moving planes for the fractional Laplacian system with positive-negative mixed powers, we obtain the radial symmetry and monotonicity of the positive solutions for the fractional Laplacian systems with positive-negative mixed powers in the whole space. We also give two special cases.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.12 no.5
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• pp.2187-2196
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• 2011

The objective of this study was to investigate the effect of gait training using rhythmic auditory stimulation on gait symmetry of stroke patients. Forty chronic stroke patients were divided into four groups by intervention. Group A and B received auditory stimulation when they walk with comfortable gait speed. Group A received auditory stimulation to paralyzed side while group B to non-paralyzed side. Group C and D received auditory stimulation with 10% faster gait speed than their comfortable gait speed. Group C received auditory stimulation to paralyzed side while group D to non-paralyzed side. Gait training using auditory stimulation was done in each group during five minutes. Gait symmetry was evaluated by formula and temporal variables of gait were measured by gait analysis system. Step time was decreased significantly in all groups except group A (P<.05), and gait symmetry was also improved significantly in all groups except group A (P<.05). Cadence was increased significantly in all groups except group A (p<.05), but velocity was not increased in all groups. Therefore we conclude that RAS gait training is effective in improving gait symmetry and can be useful to stroke patient's gait training.

• Journal of the Korean Mathematical Society
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• v.55 no.3
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• pp.695-704
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• 2018

In this paper we derive some basic inequalities connecting the Minkowski measure of symmetry, the Minkowski symmetral and the Banach-Mazur distance. We then explore the geometric contents of these inequalities and shed light on the structure of the quotient 𝔅/Aff of the space of convex bodies modulo the affine transformations.

• Journal of the Korean Physical Society
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• v.81
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• pp.258-266
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• 2022

Noisy intermediate scale quantum (NISQ) computers are a promising platform for studying many-body quantum states, such as interacting topological states. Here we prepare a one-dimensional bosonic symmetry-protected topological (SPT) phases using variational quantum eigensolver (VQE) algorithms, and demonstrate the randomized measurement of the corresponding many-body topological invariant, on a trapped-ion quantum computer. We show that the randomized measurement protocol is applicable in real machines, with the dominant error arising from the imperfect preparation of the quantum states.

• The Journal of the Acoustical Society of Korea
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• v.16 no.2E
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• pp.38-46
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• 1997

The objective of the paper is to compare the computational complexity of five algorithms for computing time-domain second-order Volterra filter outputs in terms of number of real multiplication and addition operations required for implementation. This study shows that if the filter memory length is greater that or equal to 16, the fast algorithm using the overlap-save method and the frequency-domain symmetry properties of the quadratic coefficients is the most efficient among the algorithms investigated in this paper, When the filter memory length is less than 16, the algorithm using the time-domain symmetry properties is better than any other algorithm.

• Journal of the Korean Mathematical Society
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• v.40 no.4
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• pp.667-680
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• 2003

The mirror conjecture means originally the deep relation between complex and symplectic geometry in Calabi-Yau manifolds. Recently, this conjecture is posed beyond Calabi-Yau, and even to, open manifolds (e.g. $A_{n}$ singularities and its resolution) is discussed. While if we treat open manifolds, we can't avoid the boundary (in our case, CR manifolds). Therefore we pose the more precise conjecture (mirror symmetry with boundaries). Namely, in mirror symmetry, for boundaries, what kind of structure should correspond\ulcorner For this problem, the $A_{n}$ case is studied.

• Proceedings of the IEEK Conference
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• 2008.06a
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• pp.339-340
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• 2008

This paper presents a novel design of the printed hyperpolar-transformed Sierpinski Carpet (HSC) antenna. By hyperpolar transforming the Sierpinski carpet geometry, from isotropic scaling symmetry to equiangular scaling symmetry, we get improved performance rather than that of the general Sierpinski Carpet antenna. The design parameter and performance of the proposed monopole antenna are investigated by simulation. And we showed that proposed HSC geometry gives more freedom for wideband antenna design such as flare angle, (angular)scale factor.

• Journal of applied mathematics & informatics
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• v.27 no.3_4
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• pp.757-762
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• 2009

In allelic model $X\;=\;(x_1,\;x_2,\;{\cdots},\;x_d)$, $$M_f(t)\;=\;f(p(t))\;-\;{\int}^t_0\;Lf(p(t))ds$$ is a P-martingale for diffusion operator L under the certain conditions. We can also obtain a new diffusion operator $L^*$ for diffusion coefficient and we prove that unique solution for $L^*$-martingale problem exists. In this note, we define new symmetric preserving transformation. Uniqueness for martingale problem and symmetric property will be proved.

• Journal of Industrial Technology
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• v.14
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• pp.3-17
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• 1994

This paper develops a design technique for approximating nonseparable frequency characteristics by sums and products of separable transfer functions. Therefore nonseparable frequency characteristics includes the four-quadrant symmetry filters. The desired filter with half plan symmetry is obtained by shifting a low pass characteristic in the frequency domain, and by combining these shifted characteristics. Also the paper develops the technique for designing recursive and nonrecursive two dimensional digital filters by the application of a complex transformation to one dimensional low pass filter.

• Journal of the Korean Chemical Society
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• v.16 no.6
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• pp.378-384
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• 1972

The UV absorption spectra of the copper phthalocyanine and its azo derivatives in pyridine have been examined on the basis of symmetry operation, ligand field theory and molecular orbital consideration. The above treatment was also employed to determine the structure of the synthesized complexes.