• Journal of the Chungcheong Mathematical Society
• /
• v.26 no.3
• /
• pp.641-645
• /
• 2013

In this article, we show that the modular equation ${\Phi}_p^{T_q}(X,Y)$ of Thompson series $T_q$ corresponding to ${\Gamma}_0(q)+q$ gives an affine model of a modular curve $X_0(pq)+q$.

• Communications of the Korean Mathematical Society
• /
• v.17 no.3
• /
• pp.423-430
• /
• 2002

The object of this Paper is to Present a q-analogue of the Newton's forward-difference interpolation formula. We relate the q-beta function and the q-gamma function by the q-difference operators.

• Journal of applied mathematics & informatics
• /
• v.39 no.3_4
• /
• pp.541-552
• /
• 2021

In this paper, we introduce q-sigmoid polynomials combining q-cosine function. We find several properties and identities of these polynomials which are related to sigmoid function using deep learning.

• Journal of applied mathematics & informatics
• /
• v.37 no.1_2
• /
• pp.97-103
• /
• 2019

In this paper, we give some interesting symmetric identities of the (p, q)-Hurwitz zeta function. We also give some new interesting properties, explicit formulas, a connection with (p, q)-Bernoulli numbers and polynomials.

• Journal of applied mathematics & informatics
• /
• v.40 no.5_6
• /
• pp.1117-1128
• /
• 2022

We find several q-differential equations of higher order that has q-tangent polynomials as the solution and obtain its associated symmetric properties.

• Journal of Applied and Pure Mathematics
• /
• v.5 no.3_4
• /
• pp.165-186
• /
• 2023

In this paper we give some prperties of the (p, q)-poly-cosine tangent polynomials and (p, q)-poly-sine tangent polynomials.

• Journal of Korean Society of Water and Wastewater
• /
• v.16 no.6
• /
• pp.700-709
• /
• 2002

Present condition of the Youngsan River pollution is serious. Concentrations of organic materials and nutrients are high and algal bloom takes place frequently. The pollution is mainly caused by domestic wastewater input from urban areas like Kwangju and Naju City. In this study, 6 times of water quality surveys were done for mainstream and tributaries. Delivery ratios of each tributaries are calculated with the water quality and flow data. With Arc/View GIS, sub-basin are divided and pollution loads are estimated. These data are used for water quality modeling. River quality improvement effects are analysed with 5 scenarios including process upgrade of present WWTPs and construction of new WWTPs. These scenarios are applied for the Youngsan River based on the 7Q10 and Q275. And total wastewater treatment cost in the basin is analysed for each scenario.

• Journal of Auto-vehicle Safety Association
• /
• v.7 no.1
• /
• pp.13-19
• /
• 2015

Recently, Child safety has become one of the issue with Q10 dummy representing large child. The objective of this paper was to evaluate performance of three child restraints system (backless booster, high-back booster and without booster) by changing D-ring location in the rear seat. Sled tests were carried out with a Q 10 in 64km/h frontal impact. Before the dynamic sled tests, we assessed dummy positioning with difference in CRS types and height adjustment positions. Dynamic sled test results indicated that there is different performance of CRS types and belt routing. These test results will use as base line data for development CRS safety performance for Q 10.

• Journal of Korea Society of Digital Industry and Information Management
• /
• v.10 no.3
• /
• pp.237-247
• /
• 2014

This paper describes a 2D discrete-time wavelet transform for which the Q-factor is easily specified. Hence, the transform can be tuned according to the oscillatory behavior of the image signal to which it is applied. The tunable Q-factor wavelet transform (TQWT) is a fully-discrete wavelet transform for which the Q-factor, Q, of the underlying wavelet and the asymptotic redundancy (over-sampling rate), r, of the transform are easily and independently specified. In particular, the specified parameters Q and r can be real-valued. Therefore, by tuning Q, the oscillatory behavior of the wavelet can be chosen to match the oscillatory behavior of the signal of interest, so as to enhance the sparsity of a sparse signal representation. The TQWT is well suited to fast algorithms for sparsity-based inverse problems because it is a Parseval frame, easily invertible, and can be efficiently implemented. The TQWT can also be used as an easily-invertible discrete approximation of the continuous wavelet transform. The transform is based on a real valued scaling factor (dilation-factor) and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. The transform is parameterized by its Q-factor and its oversampling rate (redundancy), with modest oversampling rates (e. g. 3-4 times overcomplete) being sufficient for the analysis/synthesis functions to be well localized. Therefore, This method services good performance in image processing fields.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.40 no.10
• /
• pp.1940-1946
• /
• 2015

An optical coherent system is considered for the next-generation optical access networks in enhancing the data rate and transmission distance. In this system, however, I/Q amplitude imbalance may occur at several parts of the system, leading to serious performance degradation. Asymmetric structure of a coherent receiver at the location of subscriber is one of the sources of I/Q imbalance. Therefore, this imbalance parameters must be removed or compensated to secure the transmission performance. In this paper, the source of I/Q amplitude imbalance is analyzed, and then the way to compensate for the imbalance at the receiver side is suggested. Performance after the compensation is estimated using simulation.