• Title/Summary/Keyword: coefficient ideal

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SOME GEOMETRIC PROPERTIES OF GOTZMANN COEFFICIENTS

  • Jeaman Ahn
    • Journal of the Chungcheong Mathematical Society
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    • v.37 no.2
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    • pp.57-66
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    • 2024
  • In this paper, we study how the Hilbert polynomial, associated with a reduced closed subscheme X of codimension 2 in ℙN, reveals geometric information about X. Although it is known that the Hilbert polynomial can tell us about the scheme's degree and arithmetic genus, we find additional geometric information it can provide for smooth varieties of codimension 2. To do this, we introduce the concept of Gotzmann coefficients, which helps to extract more information from the Hilbert polynomial. These coefficients are based on the binomial expansion of values of the Hilbert function. Our method involves combining techniques from initial ideals and partial elimination ideals in a novel way. We show how these coefficients can determine the degree of certain geometric features, such as the singular locus appearing in a generic projection, for smooth varieties of codimension 2.

Experimental Study on the Application of Ceramic Friction Materials for Bridge Bearing (교량받침용 세라믹 마찰재 적용을 위한 실험적 연구)

  • Ji-Hun Park;Jung-Woo Lee;Jong-Won Kwark
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.11 no.4
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    • pp.527-534
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    • 2023
  • This paper conducted a study on the application of ceramic materials for bridge bearing that can complement the durability of PTFE, a conventional bridge bearing friction material, and exhibit low coefficient of friction and friction behavior without lubricant. The ceramic material was zirconia (ZrO2), and the friction behavior was evaluated according to the roughness coefficient. The roughness coefficient was divided into 0.8 and 0.027, and the average coefficient of friction was calculated to be 0.16 under 15 MPa surface pressure. Afterward, ceramic was made into friction material and applied to the bridge bearing, and performance comparison with PTFE bridge bearing was conducted through compression test and friction test. In the compression test, the ceramic and PTFE bridge bearing showed ideal compression behavior depending on the load. No fractures or defects were observed in the ceramic bridg bearing, but lubricant loss was observed in the PTFE bridge bearing. The average coefficient of friction of the ceramic bridge bearing analyzed through friction behavior was 0.16. The inherent material properties of the physical and chemical properties of ceramics, the excellent mechanical properties derived from the performance evaluation, and the coefficient of friction of 0.16 suggest that it can be considered as a friction material.

Physical Properties Effect of Dry-Heat and Microwave-Cured Acrylic Resins depending on the Irradiation-Induced Changes (유도광선변화에 따른 건식중합과 마이크로파중합 아크릴레진의 물리적 성질영향)

  • Kim, Gyu-Ri
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.7
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    • pp.4388-4397
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    • 2015
  • The purpose of this study was to research the property change of acrylic resins depending on the induced-beam change and research the improved physical property of dry-heat and microwave-cured dental place acrylic resin in order to develop the acrylic resins with the optimum characteristic. As a result of observing flexural rigidity, hardness and color difference, the dry-heat-cured specimens of Vertex RS and Paladent 20 showed ideal property at 5, 15, and 25 kGy irradiation. The microwave-cured specimens of Vertex RS and Paladent 20 showed ideal property at 5 kGy irradiation. The correlation analysis showed a positive correlation among ARD, flexural rigidity (0 418), E coefficient (0.675) and Barcol hardness (0 588). The radiation cure technology is helpful for relieving the contamination caused by the manufacture of polymer composite. It can significantly contribute to the fusion of ultra violet cure technology and nano technology and the improvement of mechanical property without giving effect to the workability of polymer.

Study on the Ideal Adapted Body Weight of Korean Adults Men with reference to 30-39, 40-49 and 50-59 Age-group (한국성인남자(韓國成人男子)의 정상적응체중치(正常適應體重値)에 관(關)한 연구(硏究) -30대(代), 40대(代), 50대군(代群)을 중심(中心)으로-)

  • Park, Soon-Young
    • Journal of Preventive Medicine and Public Health
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    • v.10 no.1
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    • pp.44-51
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    • 1977
  • In order to determine values for the body weight by height groups for Korean adults men who are fully grown up 4,028 (30-39 age-group ; 2,318, 40-49 age-group 1,340, and 50-59 age group : 370) apparently healthy males subjects were randomly selected for the measurement of body weight by height groups. 1) The avergae body height and weight of Korean adult men were $168.3{\pm}4.6cm$ and $63.4{\pm}7.1kg$ in 30-39 age group, $167.7{\pm}4.7cm$ and $63.4{\pm}7.4kg$ in 40-49 age group, and $167.3{\pm}5.2cm$ and $63.3{\pm}8.0kg$ in 50-59 age group. 2) A correlation coefficient of r=+0.52(P<0.001) between body height and weight was found in 30-39 age group of 2,318 subject, r=+0.48(P<0.001) in 40-49 of 1,340 and r=+0.53(P<0.001) in 50-59 of 370 with the aid of there coefficients of linear regression equation body weight and height were established for male as follow; for 30-39 age group, Y(weight in kg)=0.81X(height in cm)-73.02, 40-49 age group, Y(weight in kg)=0.74X(height in cm)-61.82, 50-59g age-group, Y(weight in kg)=0.82X(height in cm)-73.83. 3) With the aid of above listed various equation standard values for body weight by height group, with over weighing and under weighing values were established. 4) Standard bodyweight of Korean was lower than those of American, Japanese and several other formulas for ideal body weight.

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Study on Evaluation Method of Flow Characteristics in Steady Flow Bench(5)-Effect of Evaluation Position (정상유동 장치에서 유동 특성 평가 방법에 대한 연구(5) - 평가위치의 영향)

  • Cho, Siehyung;Ohm, Inyong
    • Transactions of the Korean Society of Automotive Engineers
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    • v.25 no.2
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    • pp.179-189
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    • 2017
  • This paper is the fifth investigation on the methods of evaluating flow characteristics in a steady flow bench. In previous studies, several assumptions used in the steady flow bench were examined and it was concluded that the assumption of the solid rotation may lead to serious problems. In addition, though the velocity profiles were improved as the measuring position went downstream, the distributions were far from ideal regardless of the valve angle and evaluation position. The eccentricities were also not sufficiently small to disregard the effect on impulse swirl meter (ISM) measurement. Therefore, the effect of these distribution and eccentricity changes according to the positions needs to be analyzed to discuss the method of flow characteristics estimation. In this context, the effects of evaluation position on the steady flow characteristics were studied. For this purpose, the swirl coefficient and swirl ratio were assessed and compared via measurement of the conventional ISM and calculation based on the velocity by particle image velocimetry(PIV) from 1.75B, 1.75 times bore position apart from the cylinder head, to the 6.00B position. The results show that the swirl coefficients by ISM strictly decrease and the curves as a function of the valve lift become smooth and linear as the measuring position goes downstream. However, the values through the calculation based on the PIV are higher at the farther position due to the approach of the tangential velocity profile to ideal. In addition, there exists an offset effect between the velocity distribution and eccentricity in the low valve lift range when the coefficients are estimated based on the swirl center. Finally, the curve of the swirl ratio by ISM and by PIV evaluation as a function the measuring position intersect around 5.00B plane except at $26^{\circ}$ valve angle.

Experimental and theoretical investigation of micellization behavior of sodium dodecyl sulfate with cetyltrimethylammonium bromide in aqueous/urea solution at various temperatures

  • Hoque, Md. Anamul;Mahbub, Shamim;Rub, Malik Abdul;Rana, Shahed;Khan, Mohammed Abdullah
    • Korean Journal of Chemical Engineering
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    • v.35 no.11
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    • pp.2269-2282
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    • 2018
  • Mixed micelle formation behavior of cationic surfactant-cetyltrimethylammonium bromide (CTAB) and anionic surfactant sodium dodecyl sulfate (SDS) in aqueous as well as in urea medium from 303.15 K to 323.15 K at 5 K interval was carried out by conductometric method. The differences between the experimental values of critical micelle concentrations (cmc) and ideal critical micelle concentrations ($cmc^{id}$) illustrate the interaction between the amphiphiles studied. The values of micellar mole fraction ($X_1^{Rub}$ (Rubingh), $X_1^M$ (Motomura), $X_1^{Rod}$ (Rodenas) and $X_1^{id}$(ideal) of surfactant CTAB determined by different proposed models and outcome indicate high involvement of CTAB in SDS-CTAB mixed micellization, which enhance by means of the augment of mole fraction of CTAB. The negative value of interaction parameter (${\beta}$) showed an attractive interaction involving CTAB and SDS. Activity coefficients were less than unity in all case, which also reveals the presence of interaction between CTAB & SDS. The negative ${\Delta}G^0_m$ values imply the spontaneous mixed micellization phenomenon. The attained values of ${\Delta}H^0_m$ were positive at inferior temperature, while negative at superior temperature. The negative ${\Delta}H^0_m$ values in urea ($NH_2CONH_2$) medium illustrate exothermic micellization process. The magnitudes of ${\Delta}S^0_m$ were positive in almost all cases. The excess free energy of mixed micelle formation (${\Delta}G_{ex}$) was found to be negative, which indicates the stability of mixed micelle as compared to the individual's components micelles.

3D FE modeling and parametric analysis of steel fiber reinforced concrete haunched beams

  • Al Jawahery, Mohammed S.;Cevik, Abdulkadir;Gulsan, Mehmet Eren
    • Advances in concrete construction
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    • v.13 no.1
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    • pp.45-69
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    • 2022
  • This paper investigates the shear behavior of reinforced concrete haunched beams (RCHBs) without stirrups. The research objective is to study the effectiveness of the ideal steel fiber (SF) ratio, which is used to resist shear strength, besides the influence of main steel reinforcement, compressive strength, and inclination angles of the haunched beam. The modeling and analysis were carried out by Finite Element Method (FE) based on a software package, called Atena-GiD 3D. The program of this study comprises two-part. One of them consists of nine results of experimental SF RCHBs which are used to identify the accuracy of FE models. The other part comprises 81 FE models, which are divided into three groups. Each group differed from another group by the area of main steel reinforcement (As) which are 226, 339, and 509 mm2. The other parameters which are considered in each group in the same quantities to study the effectiveness of them, were steel fiber volumetric ratios (0.0, 0.5, and 1.0)%, compressive strength (20.0, 40.0, 60.0) MPa, and the inclination angle of haunched beam (0.0°, 10.0°, and 15.0°). Moreover, the parametric analysis was carried out on SF RCHBs to clarify the effectiveness of each parameter on the mechanical behavior of SF RCHBs. The results show that the correlation coefficient (R2) between shear load capacities of FE proposed models and shear load capacities of experimental SF RCHBs is 0.9793, while the effective inclination angle of the haunched beam is 10° which contributes to resisting shear strength, besides the ideal ratio of steel fibers is 1% when the compressive strength of SF RCHBs is more than 20 MPa.

Analytical Study on the Gas-Solid Suspension Flows through Sonic and Supersonic Nozzles (음속 및 초음속 노즐을 통한 Gas-Solid Suspension 유동에 대한 해석적 연구)

  • Sun, JianGuo;Rajesh, G.;Kim, Heuydong
    • Journal of the Korean Society of Propulsion Engineers
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    • v.17 no.1
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    • pp.9-17
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    • 2013
  • A considerable deal of work has been carried out to get an insight into the gas-solid suspension flows and to specify the particle motion and its influence on the gas flow field. In this paper an attempt is made to develop an analytical model to study the effect of nozzle inlet/exit pressure ratio, particle/gas loading and the particle diameter effect on gas-solid suspension flow. The effect of the particle/gas loading on the mass flow, Mach number, thrust coefficient and static pressure variation through the nozzle is analyzed. The results obtained show that the presence of particles seems to reduce the strength of the shock wave. It is also found that smaller the particle diameter is, bigger will be the velocity as bigger particle will have larger slip velocity. The suspension flow of smaller diameter particles has almost same trend as that of single phase flow with ideal gas as working fluid. Depending on the ambient pressure, the thrust coefficient is found to be higher for larger particle/gas loading or back pressure ratio.

Thermoelectric Composites Based on Carbon Nanotubes and Micro Glass Bubbles (탄소나노튜브 및 마이크로 글래스 버블 기반 열전 복합재)

  • Kang, Gu-Hyeok;Seong, Kwangwon;Kim, Myungsoo;Kim, In Guk;Bang, In Cheol;Park, Hyung Wook;Park, Young-Bin
    • Composites Research
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    • v.28 no.2
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    • pp.70-74
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    • 2015
  • In this paper, carbon nanotubes (CNTs) and micro glass bubbles (GBs) have been incorporated into a polyamide6 (PA6) matrix to impart thermoelectric properties. The spaces created in the matrix by GBs allows the formation of "segregated" CNT network. The tightly bound CNT network, if controlled properly, can serve as a conductive path for electron transport, while prohibiting phonon transport, which would provide an ideal configuration for thermoelectric applications. The CNTs and GBs were dispersed in a nylon-formic acid solution using horn sonication followed by coagulation in deionized water, and nanocomposite panels were fabricated using a hot press. The performance of nanocomposite panels was evaluated from thermal and electrical conductivities and Seebeck coefficient, and a thermoelectric figure of merit as high as 0.016 was achieved.

Friction-dependent Slip Behavior of Imgok Fault under the Present-day Stress Field (현생 응력하에서 단층 마찰계수에 따른 임곡단층의 거동 가능성 해석)

  • Na, Hyun-Woo;Chang, Chandong;Chang, Chun-Joong
    • The Journal of Engineering Geology
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    • v.23 no.3
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    • pp.217-225
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    • 2013
  • We carried out geometrical, kinematic, and geomechanical analyses on a lineament (the Imgok fault) near Gangneung, observed in ASTER images and aerial photographs, and field surveys. Earthquake focal mechanism solutions, used to estimate the present-day stress state, revealed that the direction of maximum compression is approximately N$70^{\circ}$E and that the stress condition is in favor of either strike-slip or reverse movement on the fault. The strike of the fault is not ideal for slip under the present-day stress field and thus the fault has a low slip tendency. However, the fault may be able to slip if the frictional coefficient (${\mu}$), representing the resistance of the fault to slip, is sufficiently low (e.g., ${\mu}$ < 0.25).