• Title/Summary/Keyword: ${\rho}-a$ Curve

Search Result 61, Processing Time 0.024 seconds

LOXODROMES AND TRANSFORMATIONS IN PSEUDO-HERMITIAN GEOMETRY

  • Lee, Ji-Eun
    • Communications of the Korean Mathematical Society
    • /
    • v.36 no.4
    • /
    • pp.817-827
    • /
    • 2021
  • In this paper, we prove that a diffeomorphism f on a normal almost contact 3-manifold M is a CRL-transformation if and only if M is an α-Sasakian manifold. Moreover, we show that a CR-loxodrome in an α-Sasakian 3-manifold is a pseudo-Hermitian magnetic curve with a strength $q={\tilde{r}}{\eta}({\gamma}^{\prime})=(r+{\alpha}-t){\eta}({\gamma}^{\prime})$ for constant 𝜂(𝛄'). A non-geodesic CR-loxodrome is a non-Legendre slant helix. Next, we prove that let M be an α-Sasakian 3-manifold such that (∇YS)X = 0 for vector fields Y to be orthogonal to ξ, then the Ricci tensor 𝜌 satisfies 𝜌 = 2α2g. Moreover, using the CRL-transformation $\tilde{\nabla}^t$ we fine the pseudo-Hermitian curvature $\tilde{R}$, the pseudo-Ricci tensor $\tilde{\rho}$ and the torsion tensor field $\tilde{T}^t(\tilde{S}X,Y)$.

Studies on the Semicarbazone Formation of Mono substituted Benzaldehydes (일치환 Bezaldehyde 의 Semicarbazone 생성 반응에 관한 연구)

  • Kim, Yong-In;Kim, Chang-Mean
    • Journal of the Korean Applied Science and Technology
    • /
    • v.7 no.1
    • /
    • pp.93-105
    • /
    • 1990
  • Semicarbazone formation of nine monosubstituted benzaldehydes was studied kinetically in 20% methanol buffer solution at 15, 25, 35, and $45^{circ}C$. The rate of p-nitrobenzaldehyde semicarbazone formation is 2.7 times as fast as that of benzaldehyde, while p-hvdroxybenzaldehyde is 3.6 times as slow as that of benzaldehyde. Activation energies for p-chlorobenzaldehyde, benzaldehyde, p-methylbenzaldehyde, p-methoxybenzaldshyde, p-hydroxybenzaldehyde, and p-dimethylaminobenzaldehyde semicarbazone formation are calculated as 5.80, 6.19, 6.57, 7.06, 8.03, and 6.46 kcal/mol respectively. It is concluded from the effect of ionic strength that the reaction is affected by not ions but neutral molecules involving hydrogen bonding between oxygen atom of carbonyl group and hydrogen atom of acid-catalyst, and concerted attack of the necleophilic reagent, free base on carbonyl compound. Also, the effect of solvent composition is small in 20% and 50% methanol (and ethanol) aqueous solutions. The ${\rho}-{\sigma}$ plots for the rates of semicarbazone formation at pH 7.1 show a linear ${\rho}-{\sigma}$ relationship (${\rho}=0.14l$, in contrast to that at pH 2.75 and pH 5.4 corresponding to ${\rho}-{\sigma}$ correlations reparted by Jencks. The rate of semicarbazone formation at pH 5.4 show a relationship which is convex upward, resulting in a break in the curve but at pH 2.75, slight difference from a linear relationship. As a result of studying citric acid catalysis, second-order rate constants increase linearly with citric acid concentration and show a 2 times increase as the catalyst concentration is varied from 0.025 to 0.1 mol/1 at pH 2,9, but slight increase at pH 5.3. The rate-determining step is addition below pH 5 but is dehydration between pH 5 and 7. Conclusively, the rate-determining step of the reaction changes from dehydration to addition in respect to hydrogen ion activity near pH 5. The ortho: para rate ratio of the hydroxybenzaldehydes for semicarbazone formation is about 17 at $15^{\circ}C$. It is concluded that the results constitute strong evidence in favor of greater stabilization of p- than o-hydroxybenzaldehyde by substituent which donate electrons by resonance and is due to hydrogen bonding between the carbon-bound hydrogen of the-CHO group and the oxygen atom of the substituent.

Post-cracking behavior of UHPC on the concrete members reinforced by steel rebar

  • Rahdar, H.A.;Ghalehnovi, M.
    • Computers and Concrete
    • /
    • v.18 no.1
    • /
    • pp.139-154
    • /
    • 2016
  • Since the concrete strength around the reinforcement rebar affects the tension stiffening, the tension stiffening effect of ultra high performance concrete on the concrete members reinforced by steel rebar is examined by testing the specimens with circular cross section with the length 850 mm reinforced by a steel rebar at the center of a specimen's cross section in this research. Conducting a tensile test on the specimens, the cracking behavior is evaluated and a curve with an exponential descending branch is obtained to explain the post-cracking zone. In addition, this paper proposes an equation for this branch and parameters of equation is obtained based on the ratio of cover thickness to rebar diameter (c/d) and reinforcement percentage (${\rho}$).

Simultaneous Determination of Alkaline Earth Metal Ions by a Conventional High Performance Liquid Chromatographic System

  • Rho, Young-Soo;Choi, Seung-Gi
    • Archives of Pharmacal Research
    • /
    • v.9 no.4
    • /
    • pp.211-214
    • /
    • 1986
  • A simultaneous determination method of alkaline earth metals was attempted with the conventional high performance liquid chromatographic system. Four cations, namely, magnesium, calcium, strontium and barium ion, were injected directly as aqueous solution into an eluent containing copper chloride solution and and were successfully separated and determined on a separating column (Zipax SCX, 4.6 mm i.d. ${\times}25$ cm length, Du Pont, USA) by using a variable wavelength UV detector. The linear calibration curves were obtianed in the range from $1.0{\times}10^{-4}M$ to $5.0{\times}10^{-4}M$ and the correlation coefficient of the calibration curve for each metal of magnesium and calcium in tap water. Alkaline earth metals were determined with the conventional high performance liquid chromatographic system.

  • PDF

Characteristics of Chromiun Nitride Thin-film Strain Guges (크로질화박막 스트레인 게이지의 특성)

  • Chung, Gwiy-Sang;Kim, Gil-Jung
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2000.04b
    • /
    • pp.134-138
    • /
    • 2000
  • The physical, electrical and piezoresitive characteristics of CrN(chromiun nitride) thin-films on silicon substrates have been investigated for use as strain gauges. The thin-film depositions have been carried out by DC reactive magnetron sputtering in an argon-nitrogen atmosphere(Ar-(5~25 %)$N_2$). The deposited CrN thin-films with thickness of $3500{\AA}$nd annealing conditions($300^{\circ}C$, 48 hr) in Ar-10 % $N_2$ deposition atmosphere have been selected as the ideal piezoresistive material for the strain gauges. Under optimum conditions, the CrN thin-films for the strain gauges is obtained a high electrical resistivity, $\rho=1147.65\;{\mu}{\Omega}cm$, a low temperature coefficient of resistance, TCR=-186 ppm/$^{\circ}C$ and a high temporal stability with a good longitudinal gauge factor, GF=11.17.

  • PDF

Fabrication of High-sensitivity Thin-film Type Strain-guges (고감도 박막형 스트레인 게이지의 제작)

  • Chung, Gwiy-Sang;Seo, Jeong-Hwan
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2000.05b
    • /
    • pp.135-141
    • /
    • 2000
  • The physical, electrical and piezoresitive characteristics of CrN(chromiun nitride) thin-films on silicon substrates have been investigated for use as strain gauges. The thin-film depositions have been carried out by OC reactive magnetron sputtering in an argon-nitrogen atmosphere(Ar-(5~25 %)$N_2$). The deposited CrN thin-films with thickness of $3500{\AA}$ and annealing conditions($300^{\circ}C$, 48 hr) in Ar-10 % $N_2$ deposition atmosphere have been selected as the ideal piezoresistive material for the strain gauges. Under optimum conditions, the CrN thin-films for the strain gauges is obtained a high electrical resistivity, $\rho=1147.65\;{\mu}{\Omega}cm$, a low temperature coefficient of resistance, TCR=-186 ppm/$^{\circ}C$ and a high temporal stability with a good longitudinal gauge factor, GF=11.17.

  • PDF

Real time GPS position correction using a camera and the vanishing point when a vehicle runs (카메라와 무한원점을 이용한 주행중 실시간 GPS 위치 보정)

  • Kim, Bo-Sung;Jeong, Jun-Ik;Rho, Do-Whan
    • Proceedings of the KIEE Conference
    • /
    • 2004.11c
    • /
    • pp.508-510
    • /
    • 2004
  • In this paper, we proposed the GPS position data correction method for autonomous land navigation using vanishing point property and a monocular vision system. Simulations are carried out over driving distances of approximately 60 km on the basis of realistic road data. In straight road, the proposed method reduces GPS position error to minimum more than 63% and positioning errors within less than 0.5m are observed. However, the average accuracy of the method is not presented. because it is difficult to estimate it in curve road or other road environments.

  • PDF

Validity and Reliability of the Korean Version of the Pain Assessment Checklist for Seniors with Limited Ability to Communicate (치매노인의 통증사정을 위한 한국어판 PACSLAC의 신뢰도, 타당도 및 유용성 평가)

  • Kim, Eun-Kyung;Kim, Se Young;Eom, Mi Ran;Kim, Hyun Sook;Lee, Eunpyo
    • Journal of Korean Academy of Nursing
    • /
    • v.44 no.4
    • /
    • pp.398-406
    • /
    • 2014
  • Purpose: This study was done to develop and test the validity and reliability of the Korean version of the Pain Assessment Checklist for Seniors with Limited Ability to Communicate (PACSLAC-K) in assessing pain of elders with dementia living in long-term care facilities. Methods: The PACSLAC-K was developed through forward-backward translation techniques. Survey data were collected from 307 elders with dementia living in 5 long-term care facilities in Korea. Data were analyzed using descriptive statistics, Pearson correlation, Spearman's rho, paired t-test, ROC (receiver operation characteristic) curve with the SPSS/WIN (20.0) program. Results: The PACSLAC-K showed high internal consistency (.90), interrater reliability (.86), intrarater reliability (.93), and high concurrent validity (.74) in paired t-test with PAINAD. Discriminant validity also showed a significant difference compared with no pain. The PACSLAC-K showed a sensitivity of .93, specificity of .88, and Area Under the Curve of .95 in the ROC curve. Conclusion: The findings of this study demonstrate that PACSLAC-K is useful in assessing pain for elders with dementia living in long-term care facilities.

Mobile Sink Based Energy Efficient Path Setup Method for Wireless Sensor Networks (무선 센서 네트워크 환경에서 모바일 싱크를 이용한 에너지 효율적 경로 설정 방법)

  • Yang, Seung-Hyun;Lee, Soong-Yeol;Rho, Hai-Hwan;Son, Won-Kee
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.39C no.11
    • /
    • pp.1068-1077
    • /
    • 2014
  • In this paper, we propose a novel method for path setup that optimizes energy consumptions for wireless sensor network. Existing studies usually generate paths according to Random way point approach so that it requires unnecessary energy consumptions for estimating location of the mobile sink node and transmission paths of packets. To address this problem, we propose a method that creates paths for mobile sink node using the Hilbert curve. Moreover, our method adjusts the path of the mobile sink node according to the density of sensor nodes to minimize data transmission delay. In our experiments, the proposed method outperforms existing work such as TTDD and CBPER by up to 50 times in terms of energy efficiency.

EO Performances of the Ion Beam Aligned TN-LCD on a Diamond-like-Carbon Thin Film Surface

  • Hwang, Jeoung-Yeon;Jo, Yong-Min;Seo, Dae-Shik;Rho, Soon-Joon;Baik, Hong-Koo
    • 한국정보디스플레이학회:학술대회논문집
    • /
    • 2003.07a
    • /
    • pp.497-499
    • /
    • 2003
  • Electro-optical (EO) performances of the ion beam aligned twisted nematic (TN)-liquid crystal display (LCD) with oblique ion beam exposure on the DLC thin film surface were studied. An excellent voltage-transmittance (VT) curve of the ion beam aligned TN-LCD was observed with oblique ion beam exposure on the DLC thin film surface for 1 min. Also, a faster response time for the ion beam aligned TN-LCD can be achieved with oblique ion beam exposure on the DLC thin film surface for 1 min can be achieved.

  • PDF