• Title/Summary/Keyword: quotient

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On Partitioning and Subtractive Ideals of Ternary Semirings

  • Chaudhari, Jaiprakash Ninu;Ingale, Kunal Julal
    • Kyungpook Mathematical Journal
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    • v.51 no.1
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    • pp.69-76
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    • 2011
  • In this paper, we introduce a partitioning ideal of a ternary semiring which is useful to develop the quotient structure of ternary semiring. Indeed we prove : 1) The quotient ternary semiring S/$I_{(Q)}$ is essentially independent of choice of Q. 2) If f : S ${\rightarrow}$ S' is a maximal ternary semiring homomorphism, then S/ker $f_{(Q)}$ ${\cong}$ S'. 3) Every partitioning ideal is subtractive. 4) Let I be a Q-ideal of a ternary semiring S. Then A is a subtractive ideal of S with I ${\subseteq}$ A if and only if A/$I_{(Q{\cap}A)}$ = {q + I : q ${\in}$ Q ${\cap}$ A} is a subtractive idea of S/$I_{(Q)}$.

Immediate Spontaneous Shape Correction Using Expantile Zigzag Craniectomy in Infantile Scaphocephaly -Is There an Improvement in the Developmental Quotient following Surgery?-

  • Kim, Sang-Dae;Oi, Shizuo
    • Journal of Korean Neurosurgical Society
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    • v.49 no.3
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    • pp.194-199
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    • 2011
  • There is still debate over which method of the surgery is the most appropriate for the treatment of scaphocephalic infants. In addition, change in psychomotor development following these procedures is a very complex issue that has not yet been resolved. In this paper, the authors describe a surgical technique for immediate spontaneous shape correction of infantile scaphocephaly. There were significant differences between pre- and postoperative cephalic index. We also describe an improvement in the developmental quotient following surgery. Therefore, this expantile zigzag craniectomy should be recommended to correct for isolated sagittal craniosynostosis in infants.

Saccharomyces cerevisiae의 물질대사에 미치는 중성자의 영향

  • 이민재
    • Journal of Plant Biology
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    • v.7 no.4
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    • pp.9-14
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    • 1964
  • According to the results measured the respiratory quotient of Saccharomyces cerevisiae with neutron radiation by manometric direct method, the respiratory quotient of them was stimulated at the dose(7$\times$106N/$\textrm{cm}^2$/sec) of neutron radiation for 60 seconds, and was inhibited in each group irradiated at the high dose (7$\times$108N/$\textrm{cm}^2$/sec) of neutron. Its physiological effects influenced on neutron had relations with respiratory quotient, reproductive rate and fermentation in the curve of normal logarithmic phase. The multiple reactions which appeared in yeast, indicated that a great deal of physiological function were closely correlated with the irradiated dosage of neutron. The kinds of free amino acid in yeast irradiated with neutron were different from those of unirradiated yeast. The activityof dehydrogenase system accelerated the metabolic function of yeast irradiated at some low dose of neutron. By this results, it may demonstrate that the fact which the phenomena obtained in the stimulation of neutron possess its character for several generation, is dependent on the theory of mutation. Subsequently, it seemed reasonable certain dominant type of microorganisms.

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Comparison between Operatic Singing and Applied Music Singing (성악발성과 실용음악발성의 비교연구)

  • Nam, Do-Hyun;Kim, Wha-Sook;Yoo, Hyun-Gii;Choi, Hong-Shik
    • Phonetics and Speech Sciences
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    • v.2 no.4
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    • pp.11-18
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    • 2010
  • This study compared classical operatic singing and applied music singing using the vocal assessment software, Dr. Speech and SPEAD from Lx Speech Studio. Participants in this study included: eight female operatic singers (mean 22.6 yrs, average career 7.5 yrs); eight male operatic singers (mean 25.6 yrs, average career 7.3 yrs); eight female applied music singers (mean 25.1 yrs, average career 6.1 yrs); and eight male applied music singers (mean 27.6 yrs, average career 6.8 yrs). The results demonstrated significantly higher closed quotient values in female applied music singers during singing (p<.05). In addition, higher closed quotient values in speaking were presented in male classical singers and longer MPT was obtained in female operatic singers (p<.05). Furthermore, singer's formants were identified in all male operatic singers and in three female operatic singers. In contrast, only one applied music male and one female singer showed singer's formants while singing.

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INTUITIONISTIC FUZZY WEAK CONGRUENCE ON A NEAR-RING MODULE

  • Hur Kul;Jang Su-Youn;Lee Keon-Chang
    • The Pure and Applied Mathematics
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    • v.13 no.3 s.33
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    • pp.167-187
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    • 2006
  • We introduce the concepts of intuitionistic fuzzy submodules and intuitionistic fuzzy weak congruences on an R-module (Near-ring module). And we obtain the correspondence between intuitionistic fuzzy weak congruences and intuitionistic fuzzy submodules of an R-module. Also, we define intuitionistic fuzzy quotient R-module of an R-module over an intuitionistic fuzzy submodule and obtain the correspondence between intuitionistic fuzzy weak congruences on an R-module and intuitionistic fuzzy weak congruences on intuitionistic fuzzy quotient R-module over an intuitionistic fuzzy submodule of an R-module.

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Significance of Acoustic Parameter - RAP, PPQ, APQ- in Hoarseness (애성환자에서 음향지표인 RAP, PPQ 및 APQ의 유용성)

  • 안철민;이종혁;강현국;이용배
    • Journal of the Korean Society of Laryngology, Phoniatrics and Logopedics
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    • v.6 no.1
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    • pp.22-26
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    • 1995
  • Change of voice, espicially hoarseness show irregular vibration of vocal cord. So, computerized acoustic analysis has presented many acoustic parameters for objective evaluation of voice. We objectively investigated the vocal vibration of normal persons and hoarseness patients in Korea. The RAP(relative average perturbation), PPQ(pitch period perturbation quotient) and APQ(amplitude perturbation quotient) of normal persons were compared with that of hoarseness patients with multidimensional voice program for the possibility of distinguishing the pathologic vocal vibration from normal. Authors agree that RAP, PPQ and APQ showed interesting differences between the normal and the hoarseness patients by the multivariate statistical analysis. In conculusion, relative average perturbation, pitch period perturbation and amplitude perturbation quotient might be meangingful screening parameters distinguishing hoarseness patients from normal.

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The Sensitivity Analysis of Derailment in Suspension Elements of Rail Vehicle (철도차량 현수장치의 탈선에 대한 민감도 연구)

  • 심태웅;박찬경;김기환
    • Proceedings of the KSR Conference
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    • 1999.11a
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    • pp.566-573
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    • 1999
  • This paper is the result of sensitivity analysis of derailment with respect to the selected suspension elements for the rail vehicle. Derailment phenominon has been explained by the derailment quotient. Thus, the sensitivity of derailment is suggested by a response surface model(RSM) which is a functional relationship between derailment quotient and characteristics of suspension elements. To summarize generation of RSM, we can introduce the procedure of sensitivity analysis as follows. First, to form a RSM, a experiment is performed by a dynamic analysis code, VAMPIRE according to a kind of the design of experiments(DOE). Second, RSM is constructed to a 1$\^$st/ order polynomial and then main effect fators are screened through the stepwise regression. Finally, we can see the sensitivity level through the RSM which only consists of the main effect factors and is expressed by the liner, interaction and quadratic effect terms.

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INVARIANTS OF DEFORMATIONS OF QUOTIENT SURFACE SINGULARITIES

  • Han, Byoungcheon;Jeon, Jaekwan;Shin, Dongsoo
    • Journal of the Korean Mathematical Society
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    • v.56 no.5
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    • pp.1173-1246
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    • 2019
  • We find all P-resolutions of quotient surface singularities (especially, tetrahedral, octahedral, and icosahedral singularities) together with their dual graphs, which reproduces (a corrected version of) Jan Steven's list [Manuscripta Math. 1993] of the numbers of P-resolutions of each singularities. We then compute the dimensions and Milnor numbers of the corresponding irreducible components of the reduced base spaces of versal deformations of each singularities. Furthermore we realize Milnor fibers as complements of certain divisors (depending only on the singularities) in rational surfaces via the semi-stable minimal model program for 3-folds. Then we compare Milnor fibers with minimal symplectic fillings, where the latter are classified by Bhupal and Ono [Nagoya Math. J. 2012]. As an application, we show that there are 6 pairs of entries in the list of Bhupal and Ono [Nagoya Math. J. 2012] such that two entries in each pairs represent diffeomorphic minimal symplectic fillings.

THE ARTINIAN COMPLETE INTERSECTION QUOTIENT AND THE STRONG LEFSCHETZ PROPERTY

  • Shin, Yong-Su
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.2
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    • pp.251-260
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    • 2019
  • It has been little known when an Artinian (point) quotient has the strong Lefschetz property. In this paper, we find the Artinian complete intersection quotient having the SLP. More precisely, we prove that if ${\mathbb{X}}$ is a complete intersection in ${\mathbb{P}}^2$ of type (2, 2) and ${\mathbb{Y}}$ is a finite set of points in ${\mathbb{P}}^2$ such that ${\mathbb{X}}{\cup}{\mathbb{Y}}$ is a basic configuration of type (2, a) with $a{\geq}3$ or (3, a) with a = 3, 4, 5, 6, then $R/(I_{\mathbb{X}}+I_{\mathbb{Y}})$ has the SLP. We also show that if ${\mathbb{X}}$ is a complete intersection in ${\mathbb{P}}^2$ of type (3, 2) and ${\mathbb{Y}}$ is a finite set of points in ${\mathbb{P}}^2$ such that ${\mathbb{X}}{\cup}{\mathbb{Y}}$ is a basic configuration of type (3, 3) or (3, 4), then $R/(I_{\mathbb{X}}+I_{\mathbb{Y}})$ has the SLP.

A new discrete logarithm problem with public parameter key-size reduction (공개 파라메터 키 크기를 줄인 새로운 이산대수문제)

  • 박영호;오상호;주학수
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.13 no.2
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    • pp.91-98
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    • 2003
  • We introduce a new public key system based on the discrete logarithm Problem(DLP) in a quotient group of finite fields. This system achieves savings not only in communication overhead by reducing public key size and transfer data by half but also in computational costs by performing efficient exponentiation. In particular, this system takes about 50% speed-up, compared to DSA which has the same security.