• Title/Summary/Keyword: roots distributions

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A NOTE ON DEGENERATE LAH-BELL POLYNOMIALS ARISING FROM DERIVATIVES

  • Piao, Xiangfan;Kim, Yunjae;Kwon, Jongkyum
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.4
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    • pp.733-747
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    • 2021
  • Recently, Kim-Kim introduced Lah-Bell polynomials and numbers, and investigated some properties and identities of these polynomials and numbers. Kim studied Lah-Bell polynomials and numbers of degenerate version. In this paper, we study degenerate Lah-Bell polynomials arising from differential equations. Moreover, we investigate the phenomenon of scattering of the zeros of these polynomials.

Analysis on the Flow and the Byproduct Particle Trajectory of Roots Type Vacuum Pump (루츠식 진공 펌프의 유동 및 부산물 입자 궤적에 대한 해석)

  • Lee, Chan;Kil, Hyun-Gwon;Noh, Myung-Keun
    • The KSFM Journal of Fluid Machinery
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    • v.14 no.5
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    • pp.18-23
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    • 2011
  • A CFD analysis method is developed and applied for investigating the gas flow and the byproduct particle trajectory in Roots type vacuum pump. The internal fluid flow and thermal fields between the rotors and the housing of vacuum pump are analyzed by using the dynamic mesh, the numerical methods for unsteady 2-D Navier-Stokes equation and the standard k-$\varepsilon$ turbulence model of the Fluent code. Coupled with the flow simulation results, the particle trajectory of the byproduct flowing into the pump with gas stream is analyzed by using discrete phase modeling technique. The CFD analysis results show the pressure, the velocity and the temperature distributions in pump change abruptly due to the rotation of rotors, and back flows are produced due to the strong reverse pressure gradients at rotor/rotor and rotor/housing clearances. The predicted byproduct particle trajectory results also show the particles impinge on the clearance surfaces between the housing and the rotor of pump and then may form the deposit layer causing the failure of pump.

Aboveground Biomass and Nutrient Distribution of Korea Pine (Pinus koraiensis) Advance Growth in Deciduous Oak Forests (참나무림내 천연발생한 잣나무 치수의 지상부 현존량 및 양분분포)

  • Ji, Dong-Hun;Byun, Jae-Kyoung;Jeong, Jin-Hyun;Yi, Myong-Jong
    • Korean Journal of Soil Science and Fertilizer
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    • v.44 no.6
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    • pp.1144-1149
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    • 2011
  • The occurrence of Korean pine (Pinus koraiensis) advance growth has been noticed in the deciduous oak forest being adjacent to the mature Korean pine plantation. the korean pine seedlings in the forest were regenerated naturally from harvested and transported Korean pine seeds and cones by rodents, mainly red squirrels. Mongolian oak (Quercus bariabilis), which formed dominant overstory, had close-to-normal distributions of height, diameter and age classes. Korean pine, which dominated the understory, had the reverse J-shaped height, diameter and age distributions that are expected of a shade tolerant species. Growing in the summer shade of the oak, Korean pine seedling had slow, but steady height growth during the past four decades. Total biomass of Korean pine seedling ranged from $2,835-8,541kg\;ha^{-1}$ and biomass allocation of Korean pine seedling was follows : stem (with bark) > foliage > branches > roots. Korean pine seedlings allocated more biomass to foliage and branches compare to planted Korean pine. The smaller root/shoot ratio of Korean pine seedling in the site is to believed to be result of competition for light. Contents of N and K for Korean pine seedling were greatest in foliage follow by branches, stem ad roots, while content of P was greater in the order of foliage > roots > stem > branches.

Modal Analysis of Point and Discretized Continuous Spectra for Metal-Insulator-Metal Waveguides in the Terahertz Region

  • Hur, Jun;Choo, Hosung;Park, Jong-Eon
    • Journal of Electrical Engineering and Technology
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    • v.13 no.4
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    • pp.1644-1654
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    • 2018
  • Eigenvalue distributions for a periodic metal-insulator-metal waveguide, classified into the point spectrum and the discretized continuous spectrum (DCS), are investigated as functions of frequencies, gap widths, and periods. Muller's method is suggested for solving exact eigenvalues, and we propose the scheme for finding proper initial values in the Muller's method by considering only ${\Re}e({\varepsilon}_r)$ in the dispersion equation. We then find that anti-crossing behavior, repulsive effect between the point spectrum and the DCS, becomes stronger when the real parts of the roots in the point spectrum have smaller values. Finally, we examine the transmittances of a single subwavelength slit for real metals using the mode matching technique. The transmittances in real metals similarly follow those of the perfect electric conductor (PEC) at low frequencies, while the patterns at higher frequencies begin to differ from the PEC.

Inhibitory Substances of a Tau-Type Pumpkin Glutathione S-Transferase: Their Existence and Chemical Properties

  • Hossain, Md. Daud;Suzuki, Toshisada;Fujita, Masayuki
    • Journal of Crop Science and Biotechnology
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    • v.10 no.2
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    • pp.117-122
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    • 2007
  • Distributions of physiological inhibitors of a tau-type pumpkin glutathione S-transferase(CmGSTU3) have been investigated in different organs of pumpkin plants, including the onion bulb and water hyacinth root. Inhibitory effects were observed in alcoholic extracts of all plant parts, but the extracts prepared from the roots of either water hyacinth or pumpkin plant showed the highest effect on CmGSTU3 toward 1-chloro-2,4- dinitrobenzene(CDNB). Results of various chromatographies indicated that a number of inhibitory substances were present in the alcoholic extract of each plant organ. Some macromolecules in the plant extracts exhibited inhibitory effects; however, the extracts might contain a large number of unknown low-molecular-weight inhibitory substances. Some of the low-molecular-weight inhibitors in water hyacinth root extract showed characteristics fluoresce under UV light.

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Distributions and Cyclings of Nitrogen, Phosphorus and Potassium in Korean Alder and Oak Stands (물오리나무와 상수리나무 숲의 질소, 인 및 가리의 분배와 순환)

  • 문형태
    • Journal of Plant Biology
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    • v.20 no.3
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    • pp.109-118
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    • 1977
  • Seasonal distribution of N, P and K contents and their cycling were studied in Korean oak (Quercus acutissima) and Korean alder (Alnus sibirica) stands in central part of Korean peninsula. The amounts of three minerals were high in young leaves but gradually decreased with the process of leaf development in both stands. The amounts of minerals in the branches, trunks and roots were decreased in summer, however, they increased again in autumn. Seansonal changes of these minerals were not significant in the two stands. The amounts of phosphorus and potassium in plant and soil were higher in the oak stand than the alder one, but those of nitrogen were reversed. The amounts of minerals absorbed during one year were greater in the oak stand than in the alder one, but those returned into soil through mineralization of litter were less in the former than in the latter. The nutrient requirements of the oak stand were greater than the alders, but the cycling rate, the ratio of the amount of minerals absorbed to returned, was opposite.

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Stress distributions at the Periodontal ligament and displacements of the maxillary first molar under various molar angulation and rotation . Three dimensional finite element study (구치의 경사도와 회전정도가 발치공간 폐쇄시 치근막의 응력분포와 치아의 초기이동에 미치는 영향에 대한 3차원 유한요소법적 연구)

  • Kwon, Dae-Woo;Son, Woo-Sung;Yang, Hoon-Chul
    • The korean journal of orthodontics
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    • v.34 no.5 s.106
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    • pp.417-428
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    • 2004
  • The purpose of this study was to evaluate the stress distributions at the periodontal ligament (PDL) and displacements of the maxillary first molar when mesially directed force was applied under various molar angulations and rotations. A three dimensional finite element model of the maxiilary first molar and its periodontal ligament was made Upright position, mesially angulated position by $20^{\circ}$ and distally angulated position of the same degree were simulated to investigate the effect of molar angulation. An anteriorly directed force of 200g countertipping moment of 1,800gm-mm (9:1 moment/force ratio) and counterrotation moment of 1,000gm-mm (5:1 moment/force ratio) were applied in each situation. To evaluate the effect of molar rotation on the stress distribution, mesial-in rotation by $20^{\circ}$ and the same amount of distal-in rotation were simulated. The same force and moments were applied in each situation. The results were as follows: In all situations, there was no significant difference in mesially directed tooth displacement Also, any differences in stress distributions could not be found, in other words. there were no different mesial movements. Stress distributions and tooth displacement of the $20^{\circ}$ mesially angulated situation were very similar with those of the $20^{\circ}$ distal-in rotated situation. The same phenomenon was obserned between the $20^{\circ}$ distally angulated situation and $20^{\circ}$ mesial-in rotated situation. When the tooth was mesially angulated, or distal-in rotated, mesially directed force made the tooth rotate in the coronal plane. with its roots moving buccally, and its crown moving lingually. When the tooth was distally angulated, or mesial-in rotated, mesially directed force made the tooth rotate in the coronal plane, with its roots moving lingually and its crown moving buccally. When force is applied to au angulated or rotated molar, the orthodontist should understand that additional torque control is needed to prevent unwanted tooth rotation in the coronal plane.

Comparative Analysis of Endophytic Bacterial Communities in the Roots of Rice Grown under Long-term Fertilization Practice using Pyrosequencing Method (파이로시퀀싱을 이용한 비료 장기 연용지의 벼 뿌리 내생세균의 군집 분석)

  • Kim, Byung-Yong;Ahn, Jae-Hyung;Song, Jaekyeong;Kim, Myung-Sook;Weon, Hang-Yeon
    • Korean Journal of Soil Science and Fertilizer
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    • v.45 no.6
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    • pp.1100-1107
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    • 2012
  • Bacterial endophytes may be important factors in plant growth and ecologically relevant functions in rice. Using pyrosequencing technology, we analyzed the composition of endophytic bacterial communities that colonized the roots of rice cultivated in long-term fertilized (APK) and non-fertilized (NF) paddy soils. A total of 1,900 reads were obtained from 2 samples. All sequences were classified into 177 OTUs (APK sample) or 72 OTUs (NF sample) at a 97% similarity cut-off. Twenty-two OTUs were shared between the 2 samples, and these were also the most dominant OTUs in both samples. Proteobacteria was the most dominant phylum with 90.2%, followed by Actinobacteria (7.1%) and Bacteroidetes (1.1%). Furthermore, Pseudomonas was the most abundant genus in both samples. We observed clear differences in the structure of the endophytic bacterial community structure between the 2 samples. Notably, the distributions of Alphaproteobacteria and Gammaproteobacteria were markedly different. The diversity index of the APK sample was higher than that of the NF sample. These findings showed that the endophytic bacterial community of rice roots was affected by the presence of fertilizers in the rice field soil.

A new Korean red algal species, Haraldiophyllum udoensis sp. nov. (Delesseriaceae, Rhodophyta)

  • Kim, Myung-Sook;Kang, Jeong-Chan
    • ALGAE
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    • v.26 no.3
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    • pp.211-219
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    • 2011
  • The genus Haraldiophyllum comprises seven species worldwide. Six of these are endemics with limited distributions, whereas the type species H. bonnemaisonii has been reported from the Atlantic Ocean. In Korea, H. bonnemaisonii has been previously recorded from the southern coast. During a red algal collection at Udo, Jeju Island, Korea, we found a potentially undescribed Haraldiophyllum species and analyzed its morphology and rbcL sequences. Herein we describe a new species, H. udoensis sp. nov., and compare our Udo specimen to similar congeners. This new species is characterized by one or several elliptical blades on a short cylindrical stipe with fibrous roots, blades that are monostromatic except at the base and on reproductive structures, a lack of network and microscopic veins, entire margins, lack of proliferations, growth through many marginal initials, and two distinct tetrasporangia layers. A phylogenetic rbcL sequence analysis demonstrated H. udoensis was distinct from the United Kingdom's H. bonnemaisonii, as well as from other species. Morphological and sequence data indicated a previous misidentification of H. udoensis as the type species H. bonnemaisonii. Based on maximum likelihood analysis, Myriogramme formed a sister clade with H. udoensis, with relatively low bootstrap support.

A MECHANISM OF DEEP WELD PENETRATION IN GAS TUNGSTEN ARC WELDGING WITH ACTIVATING FLUX

  • Manabu Tanaka;Hidenori Terasaki;Masao Ushio;John J. Lowke;Yang, Chun-Li
    • Proceedings of the KWS Conference
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    • 2002.10a
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    • pp.76-81
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    • 2002
  • The dramatic increase in the depth of a weld bead penetration has been demonstrated by welding a stainless steel in GTA (Gas-Tungsten-Arc) process with activating flux which consists of oxides and halides. However, there is no commonly agreed mechanism fer the effect of flux on the process. In order to make clear the mechanism, each behavior of the arc md the weld pool in GTA process with activating flux is observed in comparison with a conventional GTA process. A constricted anode root is shown in GTA process with the activating flux, whereas a diffuse anode root is shown in the conventional process. These anode roots are related strongly to metal vapor from the weld pool and the metal vapor is also related to temperature distributions on the weld pool surface. Furthermore, it is suggested that a balance between the Marangoni force and the drag force of the cathode jet should dominate the direction of re-circulatory flow in the weld pool. The electromagnetic force encourages the inward re-circulatory flow due to the constricted anode root in the case with flux. The difference in flow direction in the weld pool changes the geometry or depth/width ratio of weld bead penetration.

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