• Journal of Korean Medical classics
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• v.32 no.4
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• pp.67-90
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• 2019

Objectives : This study aims to summarize Tang Zong-hai's Qi transformation theory of the Six meridians through his book "Shanghanlun Qianzhubuzheng傷寒論淺注補正" where he integrated Western anatomy with the Qi transformation theory of East Asian Medicine to interpret Zhang Zhong Jing's "Shanghanlun(傷寒論)". The objective is to assist clinical application. Methods : Focusing on the contents of disease of the six meridians in the "傷寒論淺注補正", Tang's theories on the function of Zangfu(臟腑), Opening-Closing-Pivot(關闔樞), Inter-communication of Zangfu(臟腑相通), the Twelve Meridians(十二經脈) from his other publication "中西匯通醫經精義" were examined and related to in the process of explaining Qi transformation theory in detail. Results : 1. The Qi transformation function of the Taiyang meridian is related to "膀胱者, 氣化則能出" where the Small Intestine and Bladder inter-communicate. 2. The Qi transformation function of the Yangming meridian is related to the control of dryness and dampness through the Qi transformation of "陽明不從標本, 從乎中." 3. The Qi transformation function of the Shaoyang meridian is related to the Life-Fire function of the Triple Energizer-Gallbladder-Pericardium coalition through "少陽屬腎." 4. The Qi transformation function of the Taiyang meridian refers to the Heart Fire nurturing the Spleen Earth by creating 膏油 through veins. 5. The Qi transformation function of the Shaoyin meridian is related to the controlling of the Nutrient Qi(營氣) and Defense Qi(衛氣) through '心主血脈, 腎主元氣.' 6. The Qi transformation function of the Jueyin meridian is related to the ability of 和風 which results from '陰盡陽生' to harmonize and control the balance of Water Coldness(水冷) and Fire Heat(火熱). Conclusions : Tang's Qi Transformation Theory of the Six Meridians is his key theory explained from the perspective of Qi transformation of disease in the six meridians of "Shanghanlun", closely related to basic theories such as theory of Zang form(臟象學說), Opening-Closing-Pivot(關闔樞), Inter-communication of Zangfu(臟腑相通), the Twelve Meridians(十二經脈) of East Asian Medicine.

• Communications of the Korean Mathematical Society
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• v.37 no.2
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• pp.473-496
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• 2022

In 2014, Liu and Wang established a large number of interesting reduction, transformation and summation formulas for the Kampé de Fériet function. Inspired by the work, we aim to find further several transformation and reduction formulas for the Kampé de Fériet function. Theses formulas are mainly based on the formulas given by Liu and Wang [33].

• IEIE Transactions on Smart Processing and Computing
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• v.3 no.6
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• pp.358-365
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• 2014

This paper proposes a method that reduces the flickering effect caused by A-GLG (Adaptive Gray-Level Grouping) during video contrast enhancement. Of the GLG series, A-GLG shows the best contrast enhancement performance. The GLG series is based on histogram grouping. Histogram grouping is calculated differently between the continuous frames with a similar histogram and causes a subtle change in the transformation function. This is the reason for flickering effect when the video contrast is enhanced by A-GLG. To reduce the flickering effect caused by A-GLG, the proposed method calculates a modified transformation function. The modified transformation function is calculated using a previous and current transformation function applied with a weight separately. The proposed method was compared with A-GLG for flickering effect reduction and video contrast enhancement. Through the experimental results, the proposed method showed not only a reduced flickering effect, but also video contrast enhancement.

• Communications for Statistical Applications and Methods
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• v.21 no.3
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• pp.213-224
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• 2014

In this paper, we study the problem of transforming to normality. We propose to estimate the transformation parameter by minimizing a weighted squared distance between the empirical characteristic function of transformed data and the characteristic function of the normal distribution. Our approach also allows for other symmetric target characteristic functions. Asymptotics are established for a random sample selected from an unknown distribution. The proofs show that the weight function $t^{-2}$ needs to be modified to have thinner tails. We also propose the method to compute the influence function for M-equation taking the form of U-statistics. The influence function calculations and a small Monte Carlo simulation show that our estimates are less sensitive to a few outliers than the maximum likelihood estimates.

• Journal of the Korean Statistical Society
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• v.30 no.4
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• pp.563-571
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• 2001

In this paper, we study selecting a transformation so that the transformed variable is nearly symmetrically distributed. The large sample properties of an M-estimator of transformation parameter that is obtained by minimizing the integrated square of the imaginary part of the empirical characteristic function are investigated when a random sample is selected from some unspecified distribution. According to influence function calculations and Monte Carlo simulations, these estimates are less sensitive, than the normal model maximum likelihood estimates, to a few outliers.

• Korean Journal of Geomatics
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• v.4 no.1
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• pp.31-37
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• 2004

The aim of this research is comparing the existing approximation models (e.g. Affine Transformation and Direct Linear Transformation) with Rational Function Model as a substitute of rigorous sensor model of linear array scanner, especially push-broom sensor. To do so, this research investigates the mathematical model of each approximation method. This is followed by the assessments of accuracy of transformation from object space to image space by using simulated data generated by collinearity equations which incorporate or depict the physical aspects of linear array sensor.

• Honam Mathematical Journal
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• v.28 no.2
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• pp.221-224
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• 2006

A Kummer-type transformation formula for the generalized hypergeometric function $_2F_2$ deduced by Exton, rederived in two simple and transparent ways by Miller and generalized by Paris, is again derived by another method.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.21 no.10
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• pp.1561-1570
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• 1997

This study explores the treatment of the max-value cost function over a parameter interval in parametric optimization. To avoid the computational burden of the transformation treatment using an artificial variable, a direct treatment of the original max-value cost function is proposed. It is theoretically shown that the transformation treatment results in demanding an additional equality constraint of dual variables as a part of the Kuhn-Tucker necessary conditions. Also, it is demonstrated that the usability and feasibility conditions on the search direction of the transformation treatment retard convergence rate. To investigate numerical performances of both treatments, typical optimization algorithms in ADS are employed to solve a min-max steady-state response optimization. All the algorithm tested reveal that the suggested direct treatment is more efficient and stable than the transformation treatment. Also, the better performing of the direct treatment over the transformation treatment is clearly shown by constrasting the convergence paths in the design space of the sample problem. Six min-max transient response optimization problems are also solved by using both treatments, and the comparisons of the results confirm that the performances of the direct treatment is better than those of the tranformation treatment.

• The Pure and Applied Mathematics
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• v.30 no.4
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• pp.347-355
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• 2023

For numerical evaluation of Cauchy principal value integrals, we present a simple rational function with a parameter satisfying some reasonable conditions. The proposed rational function is employed in coordinate transformation for accelerating the accuracy of the Gauss quadrature rule. The efficiency of the proposed rational transformation method is demonstrated by the numerical result of a selected test example.

• Applied Microscopy
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• v.32 no.3
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• pp.195-204
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• 2002

In this review, the fundamental concepts of delta function, convolution integral and Fourier transformation are discussed. The applications of Fourier transformation to slit function, two very narrow slits, two slits of appreciable width, periodic array of narrow slits, arbitary periodic function, diffraction gratings and gaussian functions are also introduced.