• Title/Summary/Keyword: Prime factors

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On the Criteria of Reliability Design for the Steel Plate (강판(鋼板)의 신뢰성(信賴性) 설계기준(設計基準))

  • Oh, Chang Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.4 no.4
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    • pp.25-36
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    • 1984
  • This paper checked up the safety criteria of the steel structural members by LRFD. And it calculated the resistance and load modulus for it by the proposed method, considering our circumstance, by establisting the taget relability index (${\beta}_0$), and compared their calculated modulus with the nominal safety factors of the road-bridge code and analyzed them. Uncertain quantity measurements fnr the resistance of the steel structural members and for the load effect are due to the method of the uncertain quantity analysis of the load and the resistance, of Galambos-Ravindra and SGST. The summary of the results is as follows: 1) Considering our circumstance, taget relibility index(${\beta}_0$) for current steel structural members are appropriate ${\beta}_0=3.5$. 2) Nominal resistance ${\Phi}^{\prime}$ of the strength design formula for 1) and nominal load modulus ${\gamma}_i^{\prime}$ are as follows; a) Both-sides support plate: ${\Phi}{^{\prime}}=0.75$, ${\gamma}_0{^{\prime}}=1.04$, ${\gamma}_L{^{\prime}}=2.08$ b) One-side support plate: ${\Phi}{^{\prime}}=0.82$, ${\gamma}_0{^{\prime}}=1.04$, ${\gamma}_L{^{\prime}}=2.11$.

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TENSOR PRODUCTS OF C*-ALGEBRAS WITH FIBRES GENERALIZED NONCOMMUTATIVE TORI AND CUNTZ ALGEBRAS

  • Boo, Deok-Hoon;Park, Chun-Gil
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.1
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    • pp.139-144
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    • 2000
  • The generalized noncommutative torus $T_{\rho}^d$ of rank m was defined in [2]. Assume that for the completely irrational noncommutative subtorus $A_{\rho}$ of rank m of $T_{\rho}^d$ there is no integer q > 1 such that $tr(K_0(A_{\rho}))=\frac{1}{q}{\cdot}tr(K_0(A_{\rho^{\prime}}))$ for $A_{\rho^{\prime}}$ a completely irrational noncommutative torus of rank m. All $C^*$-algebras ${\Gamma}({\eta})$ of sections of locally trivial $C^*$-algebra bundles ${\eta}$ over $M=\prod_{i=1}^{e}S^{2k_i}{\times}\prod_{i=1}^{s}S^{2n_i+1}$, $\prod_{i=1}^{s}\mathbb{PR}_{2n_i}$, or $\prod_{i=1}^{s}L_{k_i}(n_i)$ with fibres $T_{\rho}^d{\otimes}M_c(\mathbb{C})$ were constructed in [6, 7, 8]. We prove that ${\Gamma}({\eta}){\otimes}M_{p^{\infty}}$ is isomorphic to $C(M){\otimes}A_{\rho}{\otimes}M_{cd}(\mathbb{C}){\otimes}M_{p^{\infty}}$ if and only if the set of prime factors of cd is a subset of the set of prime factors of p, that $\mathcal{O}_{2u}{\otimes}{\Gamma}({\eta})$ is isomorphic to $\mathcal{O}_{2u}{\otimes}C(M){\otimes}A_{\rho}{\otimes}M_{cd}(\mathbb{C})$ if and only if cd and 2u - 1 are relatively prime, and that $\mathcal{O}_{\infty}{\otimes}{\Gamma}({\eta})$ is not isomorphic to $\mathcal{O}_{\infty}{\otimes}C(M){\otimes}A_{\rho}{\otimes}M_{cd}(\mathbb{C})$ if cd > 1 when no non-trivial matrix algebra can be ${\Gamma}({\eta})$.

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Factors Affecting the Frequency of Skipping Meals of Prime-Aged Mothers with Children : Data from the Fifth Korea National Health and Nutrition Examination Survey, 2010-2011 (소아자녀를 둔 장년기 어머니의 결식빈도에 영향을 미치는 요인 : 2010-2011년 국민건강영양조사 자료 이용)

  • Park, Mi-Yeon;Park, Pil-Sook
    • Korean Journal of Community Nutrition
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    • v.21 no.5
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    • pp.451-462
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    • 2016
  • Objectives: This study was designed with the goal of understanding the factors affecting the frequency of skipping meals of prime-aged mothers with children as well as their nutritional status. Methods: Utilizing data from the 2010-2011 Korea National Health and Nutrition Survey, the frequency of skipping meals of mothers aged between 30 to 49 years with children aged between 3 to 11 years during a two day period was statistically analyzed. The number of meals skipped calculated and categorized into skipping no meals, skipping one meal, skipping two meals or more. Results: Compared to subjects who corresponded to mean nutrient adequacy ratio(MAR) of 4 quartile, subjects who corresponded to MAR of 2 quartile had 2.766 (95% CI: 1.552-4.931) probability of being in the 1 meal skippers group, while the probability of being in the more than 2 meals skippers group was 2.743(95% CI: 1.353-5.564). Also, compared to subjects who corresponded to MAR of 4 quartile, subjects who corresponded to MAR of 1 quartile had 3.471 (95% CI: 1.871-6.442) probability of being in the 1 meal skippers group, while the odds ratio for being in the more than 2 meals skippers group was 5.258(95% CI: 2.642-10.466). Conclusions: The results have the advantage of being generalized because the study selected subjects from probability sampling of the female population of Korea. The research results showed that the elements influencing skipping meals of prime-aged mothers with children were mean nutrient adequacy ratio and the number of nutrients, under estimated average requirement intake, and others. Therefore, to encourage dietary behaviors in the right direction, an integrated approach that considers the associated factors must be realized. Future studies are needed to understand how the frequency of skipping meals of mothers affects their children.

'Cultural' Prime Numbers: 2, 3, and 5 ('문화적' 소수: 2, 3, 5)

  • Bae, Sun Bok;Park, Chang Kyun
    • Journal for History of Mathematics
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    • v.27 no.3
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    • pp.183-195
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    • 2014
  • In mathematics a prime number is the natural number that has no positive factors other than 1 and itself. As natural numbers greater than 1 can be factored characterized by prime numbers, identities of a culture could be understood if its cultural phenomena are analyzed through cultural prime numbers(CPN). It is not easy to resolve cultural phenomena into CPN and analyze them through CPN due to complexities of culture. Though it is difficult, however, it is not impossible. For CPN keeps relative independence in the context of history and thought. We call 2, 3 and 5 as CPN: 2 is representative of Yin and Yang theory, 3 of Three Principles theory, and 5 of Five Elements theory. We argue that the Ten Celestial Stems and the Twelve Earthly Branches, the core principles in the oriental tradition, could be factored by the CPN. Analyzing Sil-Hah Woo's arguments, we discuss that the CNP 3 achieved more qualitative valuation than the others in Korean culture.

Selection of Lipoxygenase, Kunitz Trypsin inhibitor and 7Sα′-subunit Protein Free Soybean Strain (Lipoxygenase, Kunitz Trypsin inhibitor, 7Sα′-subunit 단백질이 결핍된 콩 계통의 선발)

  • Sung, Mi-Kyung;Kim, Kyung-Roc;Park, Jung-Soo;Han, Eun-Hui;Nam, Jin-Woo;Chung, Jong-Il
    • Journal of agriculture & life science
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    • v.44 no.5
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    • pp.29-33
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    • 2010
  • Soybean (Glycine max (L.) Merr.) seed is the main source of protein and oil for human and animal. The use of soybean protein has been expanded in the food industry due to their excellent nutritional benefits. But, antinutritional and allergenic factors are exist in the raw mature soybean. Lipoxygenase, Kunitz trypsin inhibitor (KTI) protein, and ${\alpha}^{\prime}-subunit$ of 7S globulin are main antinutritional factors in soybean seed. Breeding of a new soybean strain with lacking these components is needed. The objective of this research was to select new soybean line with lipoxygenase-free, KTI-free, and ${\alpha}^{\prime}-subunit$ free (lx1lx1lx2lx2lx3lx3titicgy1cgy1 genotype). Total 434 $F_2$seeds were obtained from the cross of cultivar, "Gaechuck#2" and PI506876. Presence and absence of lipoxygenase, KTI protein, and ${\alpha}^{\prime}-subunit$ of 7S globulin was tested by SDS electrophoresis using a partial seed of each $F_2$seed. Only one $F_2$seed with lacking these three components was selected and was planted to $F_2$plant. Absence of lipoxygenase, KTI, and ${\alpha}^{\prime}-subunit$ protein was confirmed on the $F_3$seeds harvested. Selected line with lx1lx1lx2lx2lx3lx3titicgy1cgy1 genotype might be useful for soybean breeding.

Climatic Factors Affecting Bud Flush Timing of Pinus densiflora Provenances (소나무 산지의 개엽시기에 영향을 미치는 기후인자)

  • Kim, In Sik;Ryu, Keun Ok;Lee, Joo Whan
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.14 no.4
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    • pp.229-235
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    • 2012
  • This study was conducted to investigate the climatic factors affecting bud phenology of Pinus densiflora provenances. Data were collected from Jungseon, Chungju and Jeju plantations which were parts of the 11 provenance trials established by Korea Forest Research Institute in 1996. The 36 provenances were included in this trial ($33^{\circ}30^{\prime}{\sim}38^{\circ}08^{\prime}$ in latitude and $126^{\circ}30^{\prime}{\sim}129^{\circ}20^{\prime}$ in longitude). The bud swelling date and bud burst date of the provenances were investigated from March to May in 2004 in two-day interval. The four geographic factors and fifteen climatic factors of the test sites and provenances were considered in this study. Canonical correlation analysis was conducted to examine the major factors affecting the bud phenology. Our results suggested that the major factors affecting the timing of bud swelling and burst are the differences in latitude, longitude, extremely low temperature (during December-February), extremely high temperature (during November-February) and annual mean growing days between test plantation and provenance. The provenances with lower winter temperature than that of plantation showed the faster bud swelling and bud burst. Based on these results, the implication on the seed transfer of P. densiflora was discussed.

ON ζ-FACTORS AND COMPUTING STRUCTURES IN CYCLIC n-ROOTS

  • Sabeti, Rostam
    • Korean Journal of Mathematics
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    • v.30 no.2
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    • pp.187-198
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    • 2022
  • In this paper, we introduce a new concept in number theory called ζ-factors associated with a positive integer n. Applications of ζ-factors are in the arrangement of the defining polynomials in cyclic n-roots algebraic system and are thoroughly investigated. More precisely, ζ-factors arise in the proofs of vanishing theorems in regard to associated prime factors of the system. Exact computations through concrete examples of positive dimensions for n = 16, 18 support the results.

A STUDY ON THE MECHANICAL PROPERTIES OF ORTHODONTIC OPEN COIL SPRINGS (교정용 open coil spring의 역학적 특성에 관한 연구)

  • Park, Kyu-Chan;Kim, Sang-Cheol
    • The korean journal of orthodontics
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    • v.22 no.1
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    • pp.135-146
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    • 1992
  • It was the purpose of this study to analyze and compare the mechanical properties of ortho dontic open coil springs. Four variable factors were presented - wire diameter (.008", .009", .010"), lumen size (.030", .032", .036"), arch wire size and shape (.016" round, $ .016^{{\prime}{\prime}}{\times}.022^{{\prime}{\prime}}$ rect.) and alloy type (HiT II, Elgiloy, Sentalloy). The total 104 specimens were divided into 13 groups, and compression test was performed on an Instron test machine. The load deflection curve of each open coil spring was obtained, from which, the load-deflection relations, stiffnesses, percent recoveries were computed statistically. The results were obtained as follows: 1. When the lumen size of the coil spring remained constant, stiffness and percent recovery increased as the wire diameter increased. 2. When the wire diameter of the coil spring remained constant, stiffness and percent recovery decreased as the lumen size increased. 3. The effect of size and shape of arch wire on the coil spring was not statistically significant. 4. In alloy types, stiffness was the greatest in HiT II (55.21), Elgiloy (42.61) and Sentalloy (7.74) in that order. Sentalloy exhibited superior percent recovery and long range of action.

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HOMOGENEOUS $C^*$-ALGEBRAS OVER A SPHERE

  • Park, Chun-Gil
    • Journal of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.859-869
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    • 1997
  • It is shown that for $A_{k, m}$ a k-homogeneous $C^*$-algebra over $S^{2n - 1} \times S^1$ such that no non-trivial matrix algebra can be factored out of $A_{k, m}$ and $A_{k, m} \otimes M_l(C)$ has a non-trivial bundle structure for any positive integer l, we construct an $A_{k, m^-} C(S^{2n - 1} \times S^1) \otimes M_k(C)$-equivalence bimodule to show that every k-homogeneous $C^*$-algebra over $S^{2n - 1} \times S^1)$. Moreover, we prove that the tensor product of the k-homogeneous $C^*$-algebra $A_{k, m}$ with a UHF-algebra of type $p^\infty$ has the tribial bundle structure if and only if the set of prime factors of k is a subset of the set of prime factors of pp.

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