• Bulletin of the Korean Mathematical Society
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• v.58 no.6
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• pp.1387-1400
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• 2021

Suppose that $T=\(\array{A&0\\U&B}\)$ is a formal triangular matrix ring, where A and B are rings and U is a (B, A)-bimodule. Let ℭ₁ and ℭ₂ be two classes of left A-modules, 𝔇₁ and 𝔇₂ be two classes of left B-modules. We prove that (ℭ₁, ℭ₂) and (𝔇₁, 𝔇₂) are admissible balanced pairs if and only if (p(ℭ₁, 𝔇₁), h(ℭ₂, 𝔇₂) is an admissible balanced pair in T-Mod. Furthermore, we describe when ($P^{C_1}_{D_1}$, $I^{C_2}_{D_2}$) is an admissible balanced pair in T-Mod. As a consequence, we characterize when T is a left virtually Gorenstein ring.

• Journal of the Korean Mathematical Society
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• v.59 no.6
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• pp.1203-1227
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• 2022

In this paper we develop the homological properties of the Gorenstein (𝓛, 𝓐)-flat R-modules 𝓖𝓕_{(𝓕(R),𝓐)} proposed by Gillespie, where the class 𝓐 ⊆ Mod(R^op) sometimes corresponds to a duality pair (𝓛, 𝓐). We study the weak global and finitistic dimensions that come with the class 𝓖𝓕_{(𝓕(R),𝓐)} and show that over a (𝓛, 𝓐)-Gorenstein ring, the functor - ⊗_R - is left balanced over Mod(R^op) × Mod(R) by the classes 𝓖𝓕_{(𝓕(R^op),𝓐)} × 𝓖𝓕_{(𝓕(R),𝓐)}. When the duality pair is (𝓕(R), 𝓕𝓟Inj(R^op)) we recover the G. Yang's result over a Ding-Chen ring, and we see that is new for (Lev(R), AC(R^op)) among others.

• Journal of the Korean Mathematical Society
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• v.56 no.4
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• pp.1031-1048
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• 2019

In this paper we study recollements of abelian categories and balanced pairs. The main results are: recollements induce new balanced pairs from the middle category; the resolution dimensions are bounded under certain conditions. As an application, the resolution dimensions with respect to cotilting objects of abelian categories involved in recollements are recovered.

• Journal of electromagnetic engineering and science
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• v.17 no.2
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• pp.65-70
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• 2017

The design and implementation aspects of a new single-balanced mixer for ultra-wideband (UWB) applications are presented in this study. The proposed mixer utilizes a miniaturized UWB ring coupler as a balun, consisting of a pair of in-phase and inverted-phase transitional structures. The well-balanced UWB performance of the ring coupler, aside from the optimized diode matching, results in improved conversion loss and inter-port isolations for a wide bandwidth. The size of the implemented single-balanced diode mixer is reduced to about 60% of the area of the conventional single-balanced ring diode mixer. The measured results of the proposed mixer exhibit an average conversion loss of 7.5 dB (minimum 6.7 dB) and a port-to-port isolation of greater than 18 dB over a UWB frequency range of 3.1-10.6 GHz. The measured results agree well with the simulated results.

• Proceedings of the KIEE Conference
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• 2008.07a
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• pp.1406-1407
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• 2008

In this paper, a micro balanced filter in magnetically coupled LC resonators is proposed, designed, simulated by using FR-4 PCB substrate for low cost, small volume IEEE 802. 11a wireless LAN application. Two pair of coupled LC resonators using magnetic coupling of embedded inductors are applied to obtain bandpass transmission response and improve their phase and magnitude imbalance characteristics. In addition, high dielectric composite film is applied to fabricate the high Q MIM capacitors with small size and high capacitance density. It has an insertion loss of 1.4 dB, a return loss of 10 dB, a phase imbalance of 0.25 degree, and magnitude imbalance of 0.17 dB at frequency bandwidth of 200 MHz ranged from 5.15 GHz to 5.35 GHz, respectively. The proposed balanced filter has a small volume of $1.1mm{\times}1.3mm{\times}0.6mm$ (height).

• The Korean Journal of Applied Statistics
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• v.25 no.5
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• pp.847-857
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• 2012

This article is concerned with choice-based conjoint analysis versus rating-based and ranking-based conjoint analysis. Choice-based conjoint analysis has a definite advantage in that the respondent's task of choosing the most preferred profile from several competing profiles adequately mimics consumer marketplace behavior. It is crucial to design the choice sets appropriate for the choice-based conjoint. Thus, this article suggests a new method to design the choice sets that are well-balanced. It augments the balanced incomplete block design and then obtains the dual design of the result to accommodate various numbers of profiles. In consequence, the choice sets designed by the new method have the desirable characteristics that each profile is presented to the same number of respondents, and pairs of any two distinct profiles occur together in the same number of choice sets. The balancing of the design increases the efficiency of the conjoint analysis. In addition, the pair-comparison scheme can improve the quality of data through the identification of contradictory responses.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.22 no.6
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• pp.888-894
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• 2018

In this paper, we proposed a mixed-mode s-parameter measurement system for measuring the performance of twisted pairs. A twisted pair is a balanced type component, its characteristics can not be directly measured using network analyzer, which is generally implemented as a unbalanced type. It is possible to convert between balanced signal and unbalanced signal by using a balun but it restricts the frequency range of the measurement system. The proposed system measures the performance of twisted pairs by measuring mixed-mode s-parameters using a 4-port vector network analyzer and a designed fixture, without using a balun. We measured the performance of a commercial Ethernet cable and compared with the results which measured by using baluns. The results showed that the proposed system is capable of measuring the performance of twisted pairs.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.10 no.1
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• pp.1-10
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• 1999

In this paper, a method of canceling and suppressing differential-mode crosstalk-noise signals caused by non-uniform coupling between two transmission lines in UTP(Unshielded Twisted Paris) modular jacks is discussed. Differential-mode crosstalk-noise signals in balanced transmission lines in UTP modular jacks were suppressed by inserting auxiliary capacitance between balanced transmission line pairs which are located closely enough to be effectively coupled each other. To verify the effectiveness of the inserted capacitances, precisely calculated auxiliary capacitances were applied to 10 pin modular jacks which are used in local area networks at 100 Mb/s with unshielded twisted pair-cables. The NEXT(Near-End Crosstalk) losses were measured to prove its applicability.

• Transactions of the Korean Society of Mechanical Engineers
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• v.17 no.11
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• pp.2730-2741
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• 1993

A mathematical model of the seeker scan-loop which is composed of a spin-stabilized gyroscope and its driving signal processors is derived. The derived model has a transmission zero pair on the imaginary axis near to the required bandwidth. The LQG/LTR design methodology is evolved for the derived scan-loop model. To implement the designed LQG/LTR compensator to the actual plant, the compensator order is reduced using the internally balanced realization method. The performances of the LQG/LTR compensator are tested and compared with those of the P-control. Especially, stability-robustnessexperiments for model uncertainties represented in the form of time-delays are performed. It is demonstrated that the LQG/STR compensator is actually very robust to model uncertainties.

• Journal of Engineering Education Research
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• v.21 no.1
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• pp.77-89
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• 2018

The chromosomes of all the world are the same in all 24 pairs, but the key, skin color and appearance are different. Also, it is the resistance of adult disease, diabetes, cancer. In 1953, Watson, Crick of Cambridge University experimentally discovered a DNA double helix structure, and in 1962, They laureates the Nobel Prize. In 1964, Temin, University of Wisconsin, USA, experimentally identified the ability to copy gene information from RNA to DNA and received the Nobel Prize in 1975. In this paper, we analyzed 24 pairs of DNA chromosomes using mathematical matrices based on the combination order sequence of four groups, and designed the Taegeuk pattern genetic code for the first time in the world. In the case of normal persons, the middle Yin-Yang taegeuk is designed as a block circulant Jacket matrix in DNA, and the left-right and upper-lower pairs of east-west and north-south rulings are designed as pair complementary matrices. If (C U: A G) chromosomes are unbalanced, that is, people with disease or inheritance become squashed squirming patterns. In 2017, Professor Michel Young was awarded a Nobel by presenting a biological clock and experimentally explained the bio-imbalance through a yellow fruit fly experiment.This study proved mathematical matrices for balanced and unbalanced RNA.