• Title/Summary/Keyword: Special function

Search Result 1,382, Processing Time 0.031 seconds

Analysis on the special quantitative variation of dot model by the position transform

  • Kim, Jeong-lae;Kim, Kyung-seop
    • International Journal of Advanced Culture Technology
    • /
    • v.5 no.3
    • /
    • pp.67-72
    • /
    • 2017
  • Transform variation technique is constituted the vibration status of the flash-gap recognition level (FGRL) on the distribution recognition function. The recognition level condition by the distribution recognition function system is associated with the scattering vibration system. As to search a position of the dot model, we are consisted of the distribution value with character point by the output signal. The concept of recognition level is composed the reference of flash-gap level for variation signal by the distribution vibration function. For displaying a variation of the FGRL of the maximum-average in terms of the vibration function, and distribution position vibration that was the a distribution value of the far variation of the $Dis-rf-FA-{\alpha}_{MAX-AVG}$ with $5.74{\pm}1.12$ units, that was the a distribution value of the convenient variation of the $Dis-rf-CO-{\alpha}_{MAX-AVG}$ with $1.64{\pm}0.16$ units, that was the a distribution value of the flank variation of the $Dis-rf-FL-{\alpha}_{MAX-AVG}$ with $0.74{\pm}0.24$ units, that was the a distribution value of the vicinage variation of the $Dis-rf-VI-{\alpha}_{MAX-AVG}$ with $0.12{\pm}0.01$ units. The scattering vibration will be to evaluate at the ability of the vibration function with character point by the distribution recognition level on the FGRL that is showed the flash-gap function by the recognition level system. Scattering recognition system will be possible to control of a function by the special signal and to use a distribution data of scattering vibration level.

CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS

  • Choi, Junesang;Agarwal, Praveen;Mathur, Sudha;Purohit, Sunil Dutt
    • Bulletin of the Korean Mathematical Society
    • /
    • v.51 no.4
    • /
    • pp.995-1003
    • /
    • 2014
  • A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Also many integral formulas involving various Bessel functions have been presented. Very recently, Choi and Agarwal derived two generalized integral formulas associated with the Bessel function $J_{\nu}(z)$ of the first kind, which are expressed in terms of the generalized (Wright) hypergeometric functions. In the present sequel to Choi and Agarwal's work, here, in this paper, we establish two new integral formulas involving the generalized Bessel functions, which are also expressed in terms of the generalized (Wright) hypergeometric functions. Some interesting special cases of our two main results are presented. We also point out that the results presented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.

An analysis of errors in understanding the fundamental concepts of function and differentiation for matriculants (대학 입학 예정자들의 함수 및 미분의 기초개념 이해에 대한 오류 분석)

  • Lim, Yeon-Hui;Pyo, Yong-Soo
    • Journal of the Korean School Mathematics Society
    • /
    • v.16 no.2
    • /
    • pp.435-457
    • /
    • 2013
  • The purpose of this paper is to discover effective teaching and learning methods for improving low level mathematic matriculants', who passed the early decision program, problem solving abilities by analyzing their error patterns in the special lecture for basic mathematics in P University. In this paper, we examine the matriculants' understanding and errors on the fundamental concepts of function, and continuity and differentiability of function based on the pre-examination. We also measure the their academic achievement in the special lecture for basic mathematics, and analyze the differences of error patterns between pre-test and post-test result on the concepts of continuity and differentiability of function.

  • PDF

A Study on Classified Catalogs of Research or Special Libraries in Korea (전문도서관의 주제목록형태에 관한 일연구)

  • Yoo Soyoung
    • Journal of the Korean Society for Library and Information Science
    • /
    • v.9
    • /
    • pp.75-98
    • /
    • 1982
  • This study attempted at first to find out a more suitable form of catalog to guide library users who need subject approach through a literature survey, secondly to see how and which catalog form is kept by Korean research or special libraries through an analysing questionnaires, and thirdly to evaluate these data and explore the ways to improve the function of classified catalog in Korean research or special libraries. The findings of this study shows that a classified catalog is more desirable form of catalog in research or special libraries in Korea because of the diversity of languages of the literatures needed by researchers, the educational programs for librarians and the problems of subject heading lists. Above mentioned questionnaire survey shows that more than $70\%$ of research or special libraries in Korea uses classified catalogs. However, among those libraries - only $8\%$ has the index of cassified catalog which is prerequisite for the catalog users. This survey also indicates that recently many libraries began or converted classified catalogs to subject catalogs. The writer explains the beginnings or convertings of classified catalog to subject catalog is due to the fact that many libraries do not have the index of a classified catalog which is badly needed by the library users. Based on these findings, writer said that to improve the function of the present classified catalog, it should include it's index to guide the library users who are not familier with the classifing system of the subjects. Through the entire paper, the writer has attempted to develop a point of argument by comparing a classified catalog with a subject catalog. Writer's point is not only a subject catalog using the particular language terms as a communication tool has problems in itself, but also the prevailing of this catalog form in North America is caused by their different situations from ours.

  • PDF

Problems of Special Causes in Feedback Adjustment

  • Lee, Jae-June;Cho, Sin-Sup
    • Journal of Korean Society for Quality Management
    • /
    • v.32 no.2
    • /
    • pp.201-211
    • /
    • 2004
  • Process adjustment is a complimentary tool to process monitoring in process control. Process adjustment directs on maintaining a process output close to a target value by manipulating another controllable variable, by which significant process improvement can be achieved. Therefore, this approach can be applied to the 'Improve' stage of Six Sigma strategy. Though the optimal control rule minimizes process variability in general, it may not properly function when special causes occur in underlying process, resulting in off-target bias and increased variability in the adjusted output process, possibly for long periods. In this paper, we consider a responsive feedback control system and the minimum mean square error control rule. The bias in the adjusted output process is investigated in a general framework, especially focussing on stationary underlying process and the special cause of level shift type. Illustrative examples are employed to illustrate the issues discussed.

The Characteristics of Coating Layer with the Thermochromic and the Photochromic Pigment (시광안료와 시온안료를 사용한 도공층의 특성)

  • Kim, Sun-Kyung;Cho, Byoung-Uk;Lee, Yong-Kyu
    • Journal of Korea Technical Association of The Pulp and Paper Industry
    • /
    • v.43 no.5
    • /
    • pp.11-16
    • /
    • 2011
  • This study was aimed to apply thermochromic and photochromic pigments to coating color and to develop a speciality functional coated layer. Two special pigments were added to a conventional coating color. The effects of the special pigments on coating color properties such as water rerention, low-shear viscosity were evaluated. Also the color changes of coated paper was observed under various circumstances. The results showed that the special pigments didn't influence the coating color properties. The coated paper with the special pigments showed four different colors, under various circumstances, implying that thermochromic and photochromic pigments can be used to produce a security paper.

Problems of Special Causes in Feedback Adjustment

  • Lee Jae June;Cho Sinsup;Lee Jong Seon;Ahn Mihye
    • Proceedings of the Korean Society for Quality Management Conference
    • /
    • 2004.04a
    • /
    • pp.425-429
    • /
    • 2004
  • Process adjustment Is a complimentary tool to process monitoring in process control. Process adjustment directs on maintaining a process output close to a target value by manipulating another controllable variable, by which significant process improvement can be achieved. Therefore, this approach can be applied to the 'Improve' stage of Six Sigma strategy. Though the optimal control rule minimizes process variability in general, it may not properly function when special causes occur in underlying process, resulting in off-target bias and increased variability in the adjusted output process, possibly for long periods. In this paper, we consider a responsive feedback control system and the minimum mean square error control rule. The bias in the adjusted output process is investigated in a general framework, especially focussing on stationary underlying process and the special cause of level shift type. Illustrative examples are employed to illustrate the issues discussed.

  • PDF

Fracture Analysis of Spot-Welds with Edge Cracks using 2-D Hybrid Special Finite Element (이차원 하이브리드 요소를 이용한 균열을 내포하는 용접점의 유한요소 파단해석)

  • Song J. H.;Yang C. H.;Huh H.;Kim H. G.;Park S. H.
    • Transactions of Materials Processing
    • /
    • v.13 no.6 s.70
    • /
    • pp.484-489
    • /
    • 2004
  • This paper employed a systematic analysis using a 2-D hybrid special finite element containing an edge crack in order to describe the fracture behavior of spot-welds in automotive structures. The 2-D hybrid special finite element is derived form a mixed formulation with a complex potential function with the description of the singularity of a stress field. The hybrid special finite element containing an edge crack can give a better description of its singularity with only one hybrid element surrounding one crack. The advantage of this special element is that it can greatly simplify the numerical modeling of the spot welds. Some numerical examples demonstrate the validity and versatility of the present analysis method. The lap-shear, lap-tension and angle-clip specimens are analyzed and some useful fracture parameters such as the stress intensity factor and the initial direction of crack growth are obtained simultaneously.

CERTAIN INTEGRAL FORMULAS ASSOCIATED WITH ALEPH (ℵ)-FUNCTION

  • Agarwal, Praveen;Jain, Shilpi;Karimov, Erkinjon T.;Prajapati, Jyotindra C.
    • Communications of the Korean Mathematical Society
    • /
    • v.32 no.2
    • /
    • pp.305-319
    • /
    • 2017
  • Recently many authors have investigated so-called Aleph (${\aleph}$)-function and its various properties. Here, in this paper, we aim at establishing certain integral formulas involving the Aleph (${\aleph}$)-function. Precisely, integrals with product of Aleph (${\aleph}$)-function with Jacobi polynomials, Bessel Maitland function, general class of polynomials were under consideration. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.