• Title/Summary/Keyword: $I_2$-convergence

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ON ALMOST SURE CONVERGENCE OF NEGATIVELY SUPERADDITIVE DEPENDENT FOR SEMI-GAUSSIAN RANDOM VARIABLES

  • BAEK, JONG-IL;SEO, HYE-YOUNG
    • Journal of applied mathematics & informatics
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    • v.39 no.1_2
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    • pp.145-153
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    • 2021
  • When {Xni|1 ≤ i ≤ n, n ≥ 1} be an array of rowwise negatively superadditive dependent(NSD) for semi-Gaussian random variables and {ani|1 ≤ i ≤ n, n ≥ 1} is an array of constants, we study the almost sure convergence of weighted sums ∑ni=1 aniXni under some appropriate conditions and we obtain some corollaries.

Microstructural, mechanical, and electrochemical analysis of carbon doped AISI carbon steels

  • Muhammad Ishtiaq;Aqil Inam;Saurabh Tiwari;Jae Bok Seol
    • Applied Microscopy
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    • v.52
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    • pp.10.1-10.15
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    • 2022
  • The effect of carbon doping contents on the microstructure, hardness, and corrosion properties of heat-treated AISI steel grades of plain carbon steel was investigated in this study. Various microstructures including coarse ferrite-pearlite, fine ferrite-pearlite, martensite, and bainite were developed by different heat treatments i.e. annealing, normalizing, quenching, and austempering, respectively. The developed microstructures, micro-hardness, and corrosion properties were investigated by a light optical microscope, scanning electron microscope, electromechanical (Vickers Hardness tester), and electrochemical (Gamry Potentiostat) equipment, respectively. The highest corrosion rates were observed in bainitic microstructures (2.68-12.12 mpy), whereas the lowest were found in the fine ferritic-pearlitic microstructures (1.57-6.36 mpy). A direct correlation has been observed between carbon concentration and corrosion rate, i.e. carbon content resulted in an increase in corrosion rate (2.37 mpy for AISI 1020 to 9.67 mpy for AISI 1050 in annealed condition).

Study of Inorganic CsPbI2Br Perovskite Solar Cell Using Hot-air Process (Hot-air 공정을 이용한 무기 CsPbl2Br 페로브스카이트 태양전진 제작 연구)

  • RINA, KIM;Dong-Gun, Lee;Dong-Won, Kang;Eundo, Kim;Jeha, Kim
    • Current Photovoltaic Research
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    • v.10 no.4
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    • pp.101-106
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    • 2022
  • We prepared a CsPbI2Br solution using Cesium iodide (CsI), Lead (II) bromide (PbBr2) and Lead (II) iodide (PbI2) materials into a polar solvent mixture of N,N-dimethylformamide (DMF) and Dimethyl sulfoxide (DMSO). A simple spin coating technique was used for the fabrication of CsPbI2Br absorber layer in the solution process. In order to prepare uniform coating of absorber film we adopted a hot-air process in assocation with the spin coating. It was confirmed that the thin film manufactured by the hot-air process had a higher absorption rate than that without it, and the optical band gap was measured 1.93 eV. The thin film of absorber was uniformly prepared and revealed the Black α-Cubic crystal phase as proved through X-ray diffraction analysis. Finally, a perovskite solar cell having an n-i-p structure was manufactured with a CsPbI2Br perovskite absorption layer. From the solar cell, we obtained a power conversion efficiency (PCE) of 5.97% in a forward measurement.

MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACES

  • Dung, Le Van;Tien, Nguyen Duy
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.467-482
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    • 2010
  • For a double array of random elements {$V_{mn};m{\geq}1,\;n{\geq}1$} in a real separable Banach space, some mean convergence theorems and weak laws of large numbers are established. For the mean convergence results, conditions are provided under which $k_{mn}^{-\frac{1}{r}}\sum{{u_m}\atop{i=1}}\sum{{u_n}\atop{i=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in $L_r$ (0 < r < 2). The weak law results provide conditions for $k_{mn}^{-\frac{1}{r}}\sum{{T_m}\atop{i=1}}\sum{{\tau}_n\atop{j=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in probability where {$T_m;m\;{\geq}1$} and {${\tau}_n;n\;{\geq}1$} are sequences of positive integer-valued random variables, {$k_{mn};m{{\geq}}1,\;n{\geq}1$} is an array of positive integers. The sharpness of the results is illustrated by examples.

Prediction of HLA-A*0201-Restricted Antigenic Epitopes Targeting Multiple Myeloma (다발성 골수종 적용을 위한 HLA-A*0201 제한 항원성 펩타이드 예측)

  • Kang, Yoon Joong
    • Journal of Convergence for Information Technology
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    • v.10 no.6
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    • pp.209-216
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    • 2020
  • Protein antigens and their epitopes are targets for epitope based vaccines. There are many prediction servers which can be used for identification of binding peptides to MHC molecules. However, choosing of appropriate prediction servers is difficult. This study compared data obtained from prediction servers and evaluate them in scope of binding affinity to MHC-I molecules. Here we predicted HLA-A2-restricted cytotoxic T lymphocyte epitopes from survivin as a potential target for multiple myeloma. We suggest a procedure for prediction of antigenic peptides which could bind to MHC-I molecule. The results of this study will assist researchers in selection and prediction of noble antigenic peptides.

Uncooled amorphous silicon 16x16 infrared focal plane arrays development (비정질 실리콘 기반의 비냉각형 16x16 적외선 초점면배열의 개발)

  • Cheon, Sang-Hoon;Cho, Seong-M.;Yang, Woo-Seok;Ryu, Ho-Jun;Yang, Ki-Dong;Yu, Byoung-Gon;Choi, Chang-Auck
    • Journal of Sensor Science and Technology
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    • v.18 no.4
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    • pp.301-306
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    • 2009
  • This paper describes the design and fabrication of 16$\times$16 microbolometer infrared focal plane arrays based on iMEMS technology. Amorphous silicon was used for infrared-sensitive material, and it showed the resistance of 18 Mohm and the temperature coefficient of resistivity of -2.4 %. The fabricated sensors exhibited responsivity of 78 kV/W and thermal time constant of 8.0 msec at a bias voltage of 0.5 V. The array performances had satisfactory uniformity less than 5 % within one-sigma. Also, 1/f noise of pixel was measured and the noise factor of $6\times10^{-11}$ was extracted. Finally, we obtained detectivity of $1.27\times10^9cmHz^{0.5}/W$ and noise equivalent temperature difference of 200 mK at a frame rate of 30 Hz.

On I-Convergent Double Sequences of Fuzzy Real Numbers

  • Tripathy, Binod Chandra;Sarma, Bipul
    • Kyungpook Mathematical Journal
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    • v.52 no.2
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    • pp.189-200
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    • 2012
  • In this article we introduce the class of I-convergent double sequences of fuzzy real numbers. We have studied different properties like solidness, symmetricity, monotone, sequence algebra etc. We prove that the class of I-convergent double sequences of fuzzy real numbers is a complete metric spaces.

Numerical Analyses on Wall-Attaching Offset Jet with Various Turbulent $k-{\varepsilon}$ Models and Skew-Upwind Scheme (다양한 $k-{\varepsilon}$ 난류모델과 Skew-Upwind 기법에 의한 단이 진 벽면분류에 대한 수치해석)

  • Seo, Ho-Taek;Boo, Jung-Sook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.2
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    • pp.224-232
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    • 2000
  • Four turbulent $k-{\varepsilon}$ models (i.e., standard model, modified models with streamline curvature modification and/or preferential dissipation modification) are applied in order to analyze the turbulent flow of wall-attaching offset jet. For numerical convergence, this paper develops a method of slowly increasing the convective effect induced by skew-velocity in skew-upwind scheme (hereafter called Partial Skewupwind Scheme). Even though the method was simple, it was efficient in view of convergent speed, computer memory storage, programming, etc. The numerical results of all models show good prediction in first order calculations (i.e., reattachment length, mean velocity, pressure), while they show some deviations in ·second order (i.e., kinetic energy and its dissipation rate). Like the previous results obtained by upwind scheme, the streamline curvature modification results in better prediction, while the preferential dissipation modification does not.

ON CONVERGENCES FOR ARRAYS OF ROWWISE PAIRWISE NEGATIVELY QUADRANT DEPENDENT RANDOM VARIABLES

  • Ryu, Dae-Hee;Ryu, Sang-Ryul
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.327-336
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    • 2012
  • Let {$X_{ni}$, $i{\geq}1$, $n{\geq}1$} be an array of rowwise and pairwise negatively quadrant dependent random variables with mean zero, {$a_{ni}$, $i{\geq}1$, $n{\geq}1$} an array of weights and {$b_n$, $n{\geq}1$} an increasing sequence of positive integers. In this paper we consider some results concerning complete convergence of ${\sum}_{i=1}^{bn}a_{ni}X_{ni}$.