• 제목/요약/키워드: alpha curve

검색결과 315건 처리시간 0.027초

Ti-10V-2Fe-3Al 합금의 응력-변형거동 계산 (The calculation of stress-strain behavior of Ti-10V-2Fe-3Al alloys)

  • 오택열
    • 오토저널
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    • 제11권6호
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    • pp.38-47
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    • 1989
  • The Finite Element Method has been employed to calculate the effect of particle size, matrix, and volume fractions on the stress-strain relations of .alpha.-.betha. titanium alloys. It was found that for a given volume fraction, the calculated stress-strain curve was higher for a finer particle size than for a coarse particle size within the range of the strains considered, and this behavior was seen for all the different volume fraction alloys considered. The calculated stress-strain curves for three vol. pct .alpha. alloys were compared with their corresponding experimental curve, and in general, good agreement was found.

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TILING OF CLOSED PLANE CURVES

  • El-Ghoul, Mabrouk Salem;Basher, Mohamed Esmail
    • 충청수학회지
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    • 제18권2호
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    • pp.195-203
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    • 2005
  • In this paper, we introduced the tiling, for closed plane curves ${\alpha}(s)$, and we discussed the properties of tiling. Also if ${\alpha}(s)$ was arbitrary plane closed curve equipped by tiling ${\Im}$ then we studied the effect of retraction and tiling retraction on it.

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Envelope of the Wallace-Simson Lines with Signed Angle ${\alpha}$

  • Bae, Sung Chul;Ahn, Young Joon
    • 통합자연과학논문집
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    • 제5권1호
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    • pp.38-41
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    • 2012
  • In this paper we show that for any triangle and any point on the circumcircle the envelope of the Wallace-Simson lines with signed angle ${\alpha}$ is a parabola. The proof is obtained naturally using polar coordinates. We also present the reparametrization of the envelope which is a linear normal curve.

BERTRAND CURVES IN NON-FLAT 3-DIMENSIONAL (RIEMANNIAN OR LORENTZIAN) SPACE FORMS

  • Lucas, Pascual;Ortega-Yagues, Jose Antonio
    • 대한수학회보
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    • 제50권4호
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    • pp.1109-1126
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    • 2013
  • Let $\mathbb{M}^3_q(c)$ denote the 3-dimensional space form of index $q=0,1$, and constant curvature $c{\neq}0$. A curve ${\alpha}$ immersed in $\mathbb{M}^3_q(c)$ is said to be a Bertrand curve if there exists another curve ${\beta}$ and a one-to-one correspondence between ${\alpha}$ and ${\beta}$ such that both curves have common principal normal geodesics at corresponding points. We obtain characterizations for both the cases of non-null curves and null curves. For non-null curves our theorem formally agrees with the classical one: non-null Bertrand curves in $\mathbb{M}^3_q(c)$ correspond with curves for which there exist two constants ${\lambda}{\neq}0$ and ${\mu}$ such that ${\lambda}{\kappa}+{\mu}{\tau}=1$, where ${\kappa}$ and ${\tau}$ stand for the curvature and torsion of the curve. As a consequence, non-null helices in $\mathbb{M}^3_q(c)$ are the only twisted curves in $\mathbb{M}^3_q(c)$ having infinite non-null Bertrand conjugate curves. In the case of null curves in the 3-dimensional Lorentzian space forms, we show that a null curve is a Bertrand curve if and only if it has non-zero constant second Frenet curvature. In the particular case where null curves are parametrized by the pseudo-arc length parameter, null helices are the only null Bertrand curves.

Association of Serum and Salivary Tumor Necrosis Factor-α with Histological Grading in Oral Cancer and its Role in Differentiating Premalignant and Malignant Oral Disease

  • Krishnan, Rajkumar;Thayalan, Dinesh Kumar;Padmanaban, Rajashree;Ramadas, Ramya;Annasamy, Ramesh Kumar;Anandan, Nirmala
    • Asian Pacific Journal of Cancer Prevention
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    • 제15권17호
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    • pp.7141-7148
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    • 2014
  • Background: Oral squamous cell carcinoma (OSCC) is an important malignancy throughout the world; early detection is an important criterion for achieving high cure rate. Out of the many reported markers for OSCC, this study validated the efficacy of tumor necrosis factor-${\alpha}$ (TNF-${\alpha}$) in differentially diagnosing premalignant oral lesions and OSCC. Also, the study aimed to correlate the levels of salivary and serum TNF-${\alpha}$ with clinicopathologic factors. Materials and Methods: A prospective experimental laboratory study was designed. Serum and salivary samples from 100 subjects in each group of healthy control, premalignant disease (PMD) and OSCC were collected for the study following appropriate exclusion and inclusion criteria. Serum and salivary level of TNF-${\alpha}$ was analysed by enzyme linked immunosorbent assay. The data obtained were subjected to appropriate statistical analysis. Results: Increased level of both serum and salivary TNF-${\alpha}$ was observed in OSCC subjects compared to healthy control and PMD group. Receiver operator characteristic curve analysis and area under curve values showed high specificity and sensitivity for salivary TNF-${\alpha}$ in differentiating OSCC from PMD and healthy controls. There was significant increase in TNF-${\alpha}$ level in moderately and poorly differentiated lesion compared to well differentiated lesion and in stage IV of clinical stage. A positive correlation was observed only with histological grading of OSCC and TNF-${\alpha}$. Conclusions: Salivary TNF-${\alpha}$ is proved to be superior for detecting OSCC. Increase in TNF-${\alpha}$ with histological grading and clinical staging suggests a role in prognosis.

국내 음용지하수중 전알파 특성 연구 (Study on Gross-alpha Characteristics of Groundwater for Drinking in Korea)

  • 정도환;이영준;주병규;노회정;유순주;김문수
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제16권5호
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    • pp.67-73
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    • 2011
  • Groundwaters were sampled from 730 wells being used for drinking purposes during 2007-2009. These samples were analysed using a gas-flow type GPC (Gas Proportional Counter) according to the USEPA method (900.0). We obtained a gross-alpha counting TDS (total dissolved solid) efficiency curve (Y = 0.0017X2 - 0.3122X + 19.165, X = TDS, Y = efficiency, $R^2$ = 0.9734) using natural uranium standard to get gross ${\alpha}$ value of the samples. The gross alpha values ranged from MDA (minimum detectable activity) to 14.88 pCi/L and 429 samples showed values higher than MDA (< 0.9 pCi/L). Correlations of the uranium values with the total alpha values and the gross-alpha values indicate that uranium values have high impacts on gross-alpha values. Groundwater samples of study areas were classified into four regions according to the rock types; plutonic (granite) rock region (427 areas), metamorphic rock region (181 aeras), sedimentary rock region (70 areas), volcanic rock region (52 areas). Groundwater of Cretaceous granite presented the highest gross-alpha value. Gross alpha in groundwaters showed no relationship with uranium in terms of the geological ages, rocks and minerals.

감마선 조사된 $\alpha$-$Al_2$$O_3$의 열자극에 관한 수치해석적인 분석 (Computerized Analysis of Thermoluminescence from ${\gamma}$-Ray Irradiated $\alpha$-$Al_2$$O_3$)

  • 김태규;이병용;김성규;박영우;추성실
    • 한국의학물리학회지:의학물리
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    • 제4권2호
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    • pp.49-58
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    • 1993
  • 열자극 과정의 수치해석적인 방법을 이용하여 열자극 세기곡선의 kinetic order, 활성화 에너지, 이탈 진동수 그리고 초기 트랩 밀도를 구하기 위하여 혼합된 열자극 세기곡선으로 분해하였고, 비선형 최소 자승법으로 분해된 열자극 곡선 세기와 측정된 세기의 차이를 최소화시켰다. 감마선 선량계로 사용되고 있는 $\alpha$-Al$_2$ $O_3$ 에감마선을 조사시킨 후 ,300K~600K의 온도 구간에서 측정된 $\alpha$-Al$_2$ $O_3$의 열자극 발광 세기곡선은 정점 온도가 381K, 415K, 441K, 460K, 488K 그리고 506K인 6개의 독립된 열자극 발광세기곡선으로 분해되었으며, 381K의 정점온도를 갖는 분해된 열자극 발광 세기곡선의 kinetic order, 활성화 에너지 그리고 이탈 진동수는 각각 1, 1.12eV 그리고 6.79X$10^{12}$sec$^{-1}$로써, 이 결과는 다른 측정법에 의한 값과 유사하였다.

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ON SOME SOLUTIONS OF A FUNCTIONAL EQUATION RELATED TO THE PARTIAL SUMS OF THE RIEMANN ZETA FUNCTION

  • Martinez, Juan Matias Sepulcre
    • 대한수학회보
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    • 제51권1호
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    • pp.29-41
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    • 2014
  • In this paper, we prove that infinite-dimensional vector spaces of -dense curves are generated by means of the functional equations f(x)+f(2x)+${\cdots}$+f(nx) = 0, with $n{\geq}2$, which are related to the partial sums of the Riemann zeta function. These curves ${\alpha}$-densify a large class of compact sets of the plane for arbitrary small ${\alpha}$, extending the known result that this holds for the cases n = 2, 3. Finally, we prove the existence of a family of solutions of such functional equation which has the property of quadrature in the compact that densifies, that is, the product of the length of the curve by the $n^{th}$ power of the density approaches the Jordan content of the compact set which the curve densifies.

Serum Levels of Interleukin-8 and Tumor Necrosis Factor-alpha in Coal Workers' Pneumoconiosis: One-year Follow-up Study

  • Lee, Jong-Seong;Shin, Jae-Hoon;Lee, Joung-Oh;Lee, Kyung-Myung;Kim, Ji-Hong;Choi, Byung-Soon
    • Safety and Health at Work
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    • 제1권1호
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    • pp.69-79
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    • 2010
  • Objectives: Various cytokines induced by inhalation of coal dust may mediate inflammation and lead to tissue damage or fibrosis, such as coal workers' pneumoconiosis (CWP). Methods: To investigate the relevance of serum cytokines in CWP, the levels of serum interleukin-8 (IL-8) and tumor necrosis factor-alpha (TNF-${\alpha}$) as CWP biomarkers in 110 retired coal miners (22 controls and 88 CWP subjects) were related to cross sectional findings and 1-year progressive changes of the pneumoconiosis. Progressive changes of CWP were evaluated by paired comparison of chest radiographs. Analysis by a receiver operating characteristic curve assessed the biomarker potential of each cytokine. Results: The mean serum IL-8 level was significantly higher in CWP compared to controls and IL-8 levels correlated with the degree of CWP. The median serum TNF-${\alpha}$ level was significantly higher in subjects with progressive CWP compared to subjects without CWP progression. The area under the ROC curve for IL-8 (0.70) and TNF-${\alpha}$ (0.72) for CWP identification and progression, respectively, indicated the biomarker potential of the two cytokines. Serum cutoff values of IL-8 and TNF-${\alpha}$ were 11.63 pg/mL(sensitivity, 69%; specificity, 64%) and 4.52 pg/mL (sensitivity, 67%; specificity, 79%), respectively. Conclusion: The results suggest that high levels of serum IL-8 are associated with the presence of CWP and those of serum TNF-${\alpha}$ are associated with the progression of CWP.