• Title/Summary/Keyword: Maximum Degree

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Evaluation of Failure Theories to Determine the Wood Strength Variation with Grain Slope

  • Oh, Sei-Chang
    • Journal of the Korean Wood Science and Technology
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    • v.37 no.5
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    • pp.465-473
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    • 2009
  • Three failure theories were studied to evaluate the wood strength variation with grain slope. Maximum stress theory, Tsai-Hill theory and Hankinson formula were presented to hypothesize the failure of wood according to grain slope to loading direction. Red pine and Japanese larch were used as materials to simulate failure strength prediction with grain slope. Calculation of strength results was that the strength of wood drops rapidly between parallel to grain orientation (0 degree) and 15 degree grain orientation. The strength of wood with grain orientation were somewhat different at small grain angles among failure theories, and this tendency was due to tension and compression distinction, and shear accounting in each theories. For the above 45 degree grain orientation, the predicted failure strength of wood with grain variation were very close in each failure theories and were useful in assessing failure strength of wood. The applicable these theories should be considered that the wood has different behavior in tension and compression, and this lead to different strength at small grain angles in each theories. Furthermore, reconsideration is needed to assess the failure strength of wood at small grain angles in Hankinson formula and further studies are necessary to accounting for shear behavior at small grain angles.

Deinking of Used Paper by Modified Cellulase with Polymer (고분자 가공 셀룰라아제에 의한 고지의 탈묵에 관한 연구)

  • 박진원;박귀남;이주한;이병준
    • KSBB Journal
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    • v.13 no.5
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    • pp.593-598
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    • 1998
  • Biological deinking process of used papers was studied by the polymer modified cellulase. Cellulase was modified with copolymers which consist of polyoxyethylene derivative and maleic anhydride(MA). The MA functional groups of copolymer can react with amino acids groups of the cellulase without much loss of activity. Modified degree of amino acids was controlled by the added copolymer. The maximum modified degree was about 60% and it was obtained when the weight ratio of copolymer and cellulase was 4. The remained activity of the maximum modified cellulase(MMC) was higher than 80% of native cellulase. The MMC's concentration was 0.05-2.0 wt% relative to the dry paper. In mechanical pulping process, cellulase enhanced the detachment of the ink particle from the used paper by partial hydrolysis of the fiber. The polyoxyethylene of modified cellulase produced the forms which can float the separated ink particle. Compared to the convention deinking method with NaOH or organic chemicals, the new biological deinnking process improved the physical properties such as freeness, tearing strength and whiteness.

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Comparison of Interpolation Methods for Reconstructing Pin-wise Power Distribution in Hexagonal Geometry

  • Lee, Hyung-Seok;Yang, Won-Sik
    • Nuclear Engineering and Technology
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    • v.31 no.3
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    • pp.303-313
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    • 1999
  • Various interpolation methods have been compared for reconstruction of LMR pin power distributions in hexagonal geometry. Interpolation functions are derived for several combinations of nodal quantities and various sets of basis functions, and tested against fine mesh calculations. The test results indicate that the interpolation functions based on the sixth degree polynomial are quite accurate, yielding maximum interpolation errors in power densities less than 0.5%, and maximum reconstruction errors less than 2% for driver assemblies and less than 4% for blanket assemblies. The main contribution to the total reconstruction error is made tv the nodal solution errors and the comer point flux errors. For the polynomial interpolations, the basis monomial set needs to be selected such that the highest powers of x and y are as close as possible. It is also found that polynomials higher than the seventh degree are not adequate because of the oscillatory behavior.

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TOTAL COLORINGS OF PLANAR GRAPHS WITH MAXIMUM DEGREE AT LEAST 7 AND WITHOUT ADJACENT 5-CYCLES

  • Tan, Xiang
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.139-151
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    • 2016
  • A k-total-coloring of a graph G is a coloring of $V{\cup}E$ using k colors such that no two adjacent or incident elements receive the same color. The total chromatic number ${\chi}^{{\prime}{\prime}}(G)$ of G is the smallest integer k such that G has a k-total-coloring. Let G be a planar graph with maximum degree ${\Delta}$. In this paper, it's proved that if ${\Delta}{\geq}7$ and G does not contain adjacent 5-cycles, then the total chromatic number ${\chi}^{{\prime}{\prime}}(G)$ is ${\Delta}+1$.

The Worker Scheduling Scheme for Maximum Work Efficiency with Workloads Balancing Consideration (작업효율을 만족하고 작업량 평준화를 고려한 작업자할당 방법에 관한 연구)

  • ;;Lee, Hong, Chul;Kim, Sung-Shick
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.4
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    • pp.115-131
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    • 1997
  • The problem addressed in this paper is to minimize the deviations of workloads assigned to worker and to maximize the total utilizations(degree of skill) between workers and machines simultaneously. Each worker can handle the set of machines with the different degree of skill and each machine has the workloads needed to be processed. Also, each worker has to be assigned to at least one machine with the minimum workload deviation. This problem can be formulated as a preemptive goal programming with generalized assignment constraints. The proposed algorithm consists of two phases. First, a capacitated circulation network is constructed to assign the workers to machines with the maximum total utilizations while considering workloads balance. Then, a refinement process is applied to the split machines to satisfy the feasibility condition. The real industrial application in a plastic extrusion manufacturer is included along with several computational experiments.

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Semi-active Damping Control for Vibration Attenuation: Maximum Dissipation Direction Control

  • Kim, Jeong-Hoon;Lee, Chong-Won
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.229-234
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    • 2001
  • A practical and effective semi-active on-off control law is developed for vibration attenuation of a natural, multi-degree-of-freedom suspension system, when its operational response mode is available. It does not need the accurate system parameters and dynamics of semi-active actuator. It reduces the total vibratory energy of the system including the work done by external disturbances and the maximum energy dissipation direction of the semi-active control device is tuned to the operational response mode of the structure. The effectiveness of the control law is illustrated with a three degree-of-freedom excavator cabin model.

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Characteristics of polymerization in nanofiller-containing composite resins (나노필러를 포함하고 있는 복합레진의 중합특성)

  • Lee, Hee-Kyung
    • Journal of Technologic Dentistry
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    • v.29 no.2
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    • pp.9-15
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    • 2007
  • As the development of nanotechnology, the use of composite resins which containing nanofillers becomes popular. The purpose of this study was to test the degree of polymerization of nanofillercontaining composite resins. For the study, three different nanofiller-containing composite resins and two different light-curing units were used. To evaluate the degree of polymerization, the maximum polymerization shrinkage taking place during the light curing, and the microhardness, after the light curing, were measured. As results, two light-curing units exhibited a similar emission spectrum to that of the included photoinitiator, camphorquinone. The only difference between the light-curing units were the width of the emission spectrum. Three different composite resins showed different microhardness values. Among them, Grandio showed the greatest microhardness value. However, there was less microhardness difference on the top and bottom surfaces due to the difference of the light-curing units. The maximum polymerization shrinkage values were also similar in the tested specimens regardless of the difference of the light-curing units. However, Grandio showed the least polymerization shrinkage. According to the manufacturers' data, Grandio showed the highest filler content(vol%).

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Kinematic optimal design and analysis of kinematic/dynamic performances of a 3 degree-of-freedom excavator subsystem (3 자유도 굴착기 부속 시스템의 기구학적 최적 설계와 기구학/동력학 성능 해석)

  • Kim, Whee-Kuk;Han, Dong-Young;Yi, Byung-Ju
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.4
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    • pp.422-434
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    • 1997
  • In this paper, a two-stage kinematic optimal design for a 3 degree of-freedom (DOF) excavator subsystem, which consists of boom, arm and bucket, is performed. The objective of the first stage is to find the optimal parameters of the joint-actuating mechanisms which maximize the force-torque transmission ratio between the hydraulic actuator and the rotating joint. The objective of the second stage is to find the optimal link parameters which maximize the isotropic characteristic of the excavator subsystem throughout the workspace. It is illustrated that kinematic/dynamic performances of the kinematically optimized excavator subsystem have improved compared to those of original HE280 excavator, with respect to three performance indices such as maximum load handling capacity, maximum velocity capability, and acceleration capability.

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Physicochemical properties of Korean Ginseng (panax ginseng, C.A. meyer) Root Starch 3. Physical properties of the starch (고려인삼(Panax ginseng C.A. Meyer) 전분의 이화학적 특성에 관한 연구 제3보 전분의 물리적 특성)

  • 김해중;주재선
    • Journal of Ginseng Research
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    • v.8 no.2
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    • pp.135-152
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    • 1984
  • Solubility and degree of swelling of the starch were about 15% and 30%, respectively when the starch in agueous solution was heated at 90$^{\circ}C$ for 30minutes. The starch showed no singnificant differences in the degree of swelling and soblubility with a growing period of ginseng. The starch was begun gelatinize at 50-55$^{\circ}C$ and completed at 65-70$^{\circ}C$ by the amy tical methods of X-ray diffraction, disappearance of crystalinity. Brabender angly lographic analysis and amylase digestion test. The maximum and minimum peak viscosities of 10% starch solution were 5.500 B.U and 1960 B.U, respectively. The starch showed no significant differences in pasting temperature, maximum and minimum viscosities on amylogram with a growing period of ginseng. The intrinsic viscosities of the starch and amylose were 0.54 and 1.5-1.9, respectively.

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INEQUALITIES FOR COMPLEX POLYNOMIAL WITH RESTRICTED ZEROS

  • Istayan Das;Robinson Soraisam;Mayanglambam Singhajit Singh;Nirmal Kumar Singha;Barchand Chanam
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.4
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    • pp.943-956
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    • 2023
  • Let p(z) be a polynomial of degree n and for any complex number 𝛽, let D𝛽p(z) = np(z) + (𝛽 - z)p'(z) denote the polar derivative of the polynomial with respect to 𝛽. In this paper, we consider the class of polynomial $$p(z)=(z-z_0)^s \left(a_0+\sum\limits_{{\nu}=0}^{n-s}a_{\nu}z^{\nu}\right)$$ of degree n having a zero of order s at z0, |z0| < 1 and the remaining n - s zeros are outside |z| < k, k ≥ 1 and establish upper bound estimates for the maximum of |D𝛽p(z)| as well as |p(Rz) - p(rz)|, R ≥ r ≥ 1 on the unit disk.