• 한국수학교육학회지시리즈B:순수및응용수학
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• 제20권2호
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• pp.129-136
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• 2013

We research properties of ternary numbers with values in ${\Lambda}(2)$. Also, we represent dual ternary numbers in the sense of Clifford algebras of real six dimensional spaces. We give generation theorems in dual ternary number systems in view of Clifford analysis, and obtain Cauchy theorems with respect to dual ternary numbers.

• 전기의세계
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• 제28권1호
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• pp.43-52
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• 1979

Recently, interest in multivalued(MV) logic system has been increased, despites the apparent difficulties for practical application. This is because of the many advantages of the MV compared with the 2-valued logic systems, such as; (a) higher speed of arithmetical operation on account of the smaller number of digits required for a given data, (b) better utilization of data transmission channels on account of the higher information contents per line, (c) potentially higher density of information storage. This paper describes a MV switching theory and experimental MV logic elements based on current-mode logic technique. These elements tried were a 3-stable pulse generator, a ternary AND, a ternary OR, a MT circuit and a ternary inverter. Tristable flops which are indispensable for constituting a ternary shift register are synthesized using these gates. A BCD to TCD decoder, and vice versa, are proposed by using a ternary inverter and some binary gates. Thus, the feasibility of a large scale MV digital system has been demonstrate.

• East Asian mathematical journal
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• 제29권3호
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• pp.293-302
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• 2013

We research properties of ternary numbers and hyperholomorphic functions with values in $\mathbb{C}$(2). We represent reduced quaternion numbers and obtain some propertries in dual reduced quaternion systems in view of Clifford analysis. Moreover, we obtain Cauchy theorems with respect to dual reduced quaternions.

• Nonlinear Functional Analysis and Applications
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• 제29권3호
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• pp.913-927
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• 2024

In this paper, we represent regular functions on ternary theory in the view of quaternion. By expressing quaternions using ternary number theory, a new form of regular function, called E-regular, is defined. From the defined regular function, we investigate the properties of the appropriate hyper-conjugate harmonic functions and corresponding Cauchy-Riemann equations by pseudo-complex forms.

• Journal of Applied and Pure Mathematics
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• 제6권1_2호
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• pp.97-103
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• 2024

This study is about digits of numbers in system logic B₃. Any real number is written as digits in the binary system, in the ternary system. The numbers in base two and base three are also written in the B₃ system ternary logic. These two writing methods are transferred into the third method. The real numbers 0,1 and 0, 1, 2 are written as digits. The same real numbers are written as digits of elements of the set -1, 0, 1 in base B₃. The periods here are investigated. The relationship between these digits is analysed.

• 센서학회지
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• 제33권3호
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• pp.152-157
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• 2024

In this study, we propose a novel 8T ternary SRAM that can process three logic values (0, 1, and 2) with only two additional transistors, compared with the conventional 6T binary SRAM. The circuit structure consists of positive and negative ternary inverters (PTI and NTI, respectively) with carbon-nanotube field-effect transistors, replacing conventional cross-coupled inverters. In logic '0' or '2,' the proposed SRAM cell operates the same way as conventional binary SRAM. For logic '1,' it works differently as storage nodes on each side retain voltages of V_DD/2 and V_DD, respectively, using the subthreshold current of two additional transistors. By applying the ternary system, the data capacity increases exponentially as the number of cells increases compared with the 6T binary SRAM, and the proposed design has an 18.87% data density improvement. In addition, the Synopsys HSPICE simulation validates the reduction in static power consumption by 71.4% in the array system. In addition, the static noise margins are above 222 mV, ensuring the stability of the cell operation when V_DD is set to 0.9 V.

• East Asian mathematical journal
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• 제31권3호
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• pp.357-362
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• 2015

For a ring R of imaginary quadratic integers, using a concept of a unitary number system in place of the Motzkin's universal side divisor, we show that the following statements are equivalent: (1) R is Euclidean. (2) R has a unitary number system. (3) R is norm-Euclidean. Through an application of the above theorem we see that R admits binary or ternary number systems if and only if R is Euclidean.

• 폴리머
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• 제32권3호
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• pp.219-229
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• 2008

A pH sensitive ternary copolymer gel was synthesized in the presence of ethylene glycol dimethacrylate (EGDMA) as a crosslinking agent through radical polymerization of vinyl acetate (VA), acrylic acid (AA) and methyl acrylate(MA) with a weight ratio of 1 : 1.3 : 1. A number of experiments were carried out to determine the swelling behavior of the gel under a variety of pH conditions of the swelling medium. As the pH of the swelling medium was changed from 1.0 to 8.0 at $37^{\circ}C$, the gel showed a shift in the pH-dependent swelling behavior from Fickian (n=0.3447) to non-Fickian (n=0.9125). The resulting swelling parameters were analyzed using graphical and statistical methods. The results showed that the swelling of the gel was controlled by the pH of the medium, i.e. $n=n_o{\exp}(S_{C}pH)$, where n is the diffusion exponent, $n_o(=28.9645{\times}10^{-2})$ is the pre-exponential factor and $S_C$(=0.1417) is pH sensitivity coefficient. The swelling behavior of the gel was also examined in aliphatic alcohols. The results showed that the rate of swelling increased with increasing number of carbon atoms in the alcoholic molecular chain.

• 분석과학
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• 제10권6호
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• pp.408-417
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• 1997

기능성 헤테로 고리 화합물의 구조 이성질체를 정상 및 역상 액체 크로마토그래피를 이용하여 분리하고, 이들 분리를 위한 최적 조건을 알코올 변형체(modifier)를 포함한 삼성분 이동상(ternary solvent system)을 이용하여 조사했다. 삼성분 이동상의 경우 알코올 변형체가 컬럼의 활성 표면에 우선적으로 상호작용하여 비활성화(deactivation)시킴으로써 용질의 머무름을 감소시키고 꼬리 끌림(tailing)을 억제하여 분리선택성이 좋아지는 것으로 보인다. 구조 이성질체 분리의 경우 정상 액체 크로마토그래피를 이용할 경우가 분리 선택성이 더 좋은 것으로 나타났다. 또한, 헤테로 고리 화합물들의 머무름 거동은 역상 액체 크로마토그래피의 경우는 시료와 정지상과의 소수성 상호작용등으로 설명할 수 있었고, 정상 액체 크로마토그래피의 경우는 시료 분자와 충진제의 흡착표면과의 흡착력으로 설명할 수 있었다.

• 한국결정성장학회지
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• 제9권4호
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• pp.387-395
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• 1999

The strain, surface and interfacial energies of III-V ternary systems were calculated for three kinds of structure modes: the Frank-van der Merwe(FM) mode, the Stanski-Krastanov(SK) mode and the Volmer-Weber(VW) mode. The free energy for each mode was estimated as functions of thickness and composition or lattice misfit. Through comparison of the free energy of each mode, it was found that the thickness-composition phase diagrams of III-V ternary systems can be determined only by considering the balance of the free energy and three kinds of structure modes appear in the phase diagrams. The SK mode appears only when the lattice misfit is large and/or the lattice layer is thick. The most stable structure of the SK mode is a cluster with four lattice layers or minimum thickness on a wetting layer of increasing lattice layers. The VW mode appears when the lattice misfit is large and the lattice layer is thin and only in the INPSb/InP and GaPSb/GaP system which have the largest lattice misfit of III-V ternary systems. The stable region of the SK mode in the GaPSb/GaP and InPSb/InP phase diagrams is largest of all because the composition dependence of the strain energy of these systems is stronger than that of the other systems. The critical number of lattice layers below which two-dimensional(2D) layers precede the three-dimensional(3D) nucleation in the SK mode at x=1.0 depends on the lattice misfit.