• Title/Summary/Keyword: $Q_C^{-1}$

Search Result 2,018, Processing Time 0.031 seconds

A Class of Bilateral Generating Functions for the Jacobi Polynomial

  • SRIVASTAVA, H M.
    • Journal of the Korean Mathematical Society
    • /
    • v.8 no.1
    • /
    • pp.25-30
    • /
    • 1971
  • Put ($$^*$$) $$G[x,y]={\sum}\limits^{p+q=n}_{p,q=0}[-n]_{p+q}c_{p,q}x^py^q$$, where $[{\lambda}]_m$ is the Pocbhammer symbol and the $c_{p,q}$ are arbitrary constants. Making use of the specialized forms of some of his earlier results (see [8] and [9] the author derives here bilateral generating functions of the type ($$^{**}$$) $${\sum}\limits^{\infty}_{n=0}{\frac{[\lambda]_n}{n!}}_2F_1[\array{{\rho}-n,\;{\alpha};\\{\lambda}+{\rho};}x]\;G[y,z]t^n$$ where ${\alpha}$, ${\rho}$ and ${\lambda}$ are arbitrary complex numbers. In particular, it is shown that when G[y, z] is a double hypergeometric polynomial, the right-band member of ($^{**}$) belongs to a class of general triple hypergeometric functions introduced by the author [7]. An interesting special case of ($^{**}$) when ${\rho}=-m,\;m$ being a nonnegative integer, yields a class of bilateral generating functions for the Jacobi polynomials $\{P_n{^{{\alpha},{\beta}}}(x)\}$ in the form ($$^{***}$$) $${\sum\limits^{\infty}_{n=0}}\(\array{m+n\\n}\)P{^{({\alpha}-n,{\beta}-n)}_{m+n}(x)\;G[y,z]{\frac{t^n}{n!}}$$, which provides a unification of several known results. Further extensions of ($^{**}$) and ($^{***}$) with G[y, z] replaced by an analogous multiple sum $H\[y_1,{\cdots},y_m\]$ are also discussed.

  • PDF

Carbon Storage of Quercus mongolica Stands by Latitude and Altitude in Korea

  • Kwon, Ki-Cheol;Lee, Don Koo
    • Journal of Korean Society of Forest Science
    • /
    • v.95 no.2
    • /
    • pp.220-231
    • /
    • 2006
  • The study was conducted to investigate the differences in carbon storage of Quercus mongolica stands with respect to latitude and altitude in Korea. Study sites were located in Mt. Joongwang, Pyeongchang-gun, Gangwon-do (altitudes 1,300 m, 1,000 m, and 800 m), Mt. Taehwa, Gwangju-si, Gyeonggi-do (altitude 350 m), Mt. Wolak, lecheon-si, Chungcheongbuk-do (altitude 300 m), Mt. Baekwoon, Gwangyang-si, Jeollanam-do (altitude 800 m), and Mt. Halla, Jeju-do (altitude 1,000 m). Total carbon storage and annual carbon storage of Q. mongolica stands were 85-210 tonC/ha and 7.2-10.6 tonC/ha, respectively. Lower latitude (NE) stands of Q. mongolica showed more carbon storage and annual carbon storage than higher latitude stands. Carbon storage and annual carbon storage of Q. mongolica stands were increased in low altitude. Carbon storage of Q. mongolica stands was higher in the northern aspect than in the southern aspect. However, there were no significant differences in annual carbon storage between the aspects.

Study on Q Improvement of CMOS Spiral Inductor Using Multi Metal Layer for Silicon Substrate (실리콘 기판에서 다층 메탈을 이용한 CMOS 나선형 인덕터의 Q향상에 관한 연구)

  • 손주호;최석우;김동용
    • The Transactions of the Korean Institute of Electrical Engineers C
    • /
    • v.52 no.1
    • /
    • pp.6-11
    • /
    • 2003
  • The multi layer spiral inductors, which enhance the quality factor Q of an inductor fabricated on the silicon substrate, has been designed using a TSMC CMOS 0.2sum 1-poly 5-metal layer technology. To investigate the performance of the designed inductors, a 2.5-dimensional field simulation tool(Momentum) is used. The simulation results show that the quality factor Q of the 5-metal inductor is improved 1.8 times over that of a convention31 spiral inductor at 2GHz for wireless LAN applications.

Relation between the Heat Budget and the Cold Water in the Yellow Sea in Winter (동계의 열수지 황해냉수와의 관계)

  • Han, Young-Ho
    • Journal of the Korean Society of Fisheries and Ocean Technology
    • /
    • v.14 no.1
    • /
    • pp.1-14
    • /
    • 1978
  • To study the fluctuation of cold water in the East China Sea in summer heat budget of the Yellow Sea in winter was analysed based on the oceanographic and meteorological data compiled from 1951 to 1974. The maintain value of insolation was observed in December($160{\sim}190ly/day$), while the maximum in February ($250{\sim}260ly/day$). The range of the annual variation was found to be less than 50 ly/day. The value of the radiation term ($Q_s-Q_r-Q_h$) was remarkably small (mean 20 ly/day) in winter. It was negative value in December and January, and a positive value in February. The minimum total heat exchange from the sea ($Q_({h+c}$) was found value (471 ly/day) in February 1962, and the maximum (882 ly/day) in January 1963. The annual total heat exchange was minimum (588 ly/day) in 1962, and maximum (716 ly/day) in 1968. If the average deviation of mean water temperature at 50m depth layer were assumed to be the horizontal index ($C_h$) of colder water, $C_h$ is $C_h=\frac{{\Sigma}\limit_i\;A_i\;T_i}{{\Sigma}\limit_i\;A_i}$ where $A_i$ denotes the area of isothermal region and $T_i$ the value of deviation from mean sea water temperature. The vertical index ($C_v$) of cold water can be expressed similarly. Consequently the total index (C) of cold water equals to the sum of the two components, i.e. $C=C_h$$C_v$. Taking the deviation of mean sea surface temperature(T'w) in the third ten-day of Novembers in the Yellow Sea as the value of the initial condition, the following expressions are deduced : $C-T'w=32.06 - 0.049$ $\;Q_T$ $C_h-T'w/2=12.20-0.019\;Q_T$ $C_v-T'w/2=18.07-0.027\;Q_T$ where $Q_T$ denotes the total heat exchange of the sea. The correlation coefficients of these regression equations were found to be greater than 0.9. Heat budget was 588 ly/day in winter, and minimum water temperature of cold water was $18^{\circ}C$ in summer of 1962. The isotherm of $23^{\circ}C$ extended narrowly to southward up to $29^{\circ}N$ in summer. However, heat budget was 716 ly/day, and minimum water temperature of cold water was $12^{\circ}C$ in summer of 1968. The isotherm of $23^{\circ}C$ extended widely to southward up to $28^{\circ}30'N$ in summer. As a result of the present study, it may be concluded that the fluctuation of cold water of the East China Sea in summer can be predicted by the calculation of heat budget of the Yellow Sea in winter.

  • PDF

PROPERTIES ON q-DIFFERENCE RICCATI EQUATION

  • Huang, Zhi-Bo;Zhang, Ran-Ran
    • Bulletin of the Korean Mathematical Society
    • /
    • v.55 no.6
    • /
    • pp.1755-1771
    • /
    • 2018
  • In this paper, we investigate a certain type of q-difference Riccati equation in the complex plane. We prove that q-difference Riccati equation possesses a one parameter family of meromorphic solutions if it has three distinct meromorphic solutions. Furthermore, we find that all meromorphic solutions of q-difference Riccati equation and corresponding second order linear q-difference equation can be expressed by q-gamma function if this q-difference Riccati equation admits two distinct rational solutions and $q{\in}{\mathbb{C}}$ such that 0 < ${\mid}q{\mid}$ < 1. The growth and value distribution of differences of meromorphic solutions of q-difference Riccati equation are also treated.

Effect of Quercetin Supplement on Major Biochemical Parameters in Sera of Rats Fed High Fat and High Cholesterol Diet (퀘르세틴 첨가가 고지방 및 고콜레스테롤 식이 랫드의 혈청 성분 농도의 변화에 미치는 영향)

  • Hwang, Eui-Kyung
    • Journal of Veterinary Clinics
    • /
    • v.26 no.5
    • /
    • pp.413-418
    • /
    • 2009
  • This study was performed to investigate the changes of the serological parameters of the rats fed a high fat and high cholesterol diets with or without quercetin supplement for five weeks. Thirty Sprague-Dawley male rats ($152.1{\pm}17.0\;g$ of body weight) were randomly divided into three groups with 10 rats in each group. Rats in the control(C) group were fed the high fat and high cholesterol diet containing 15% lard, 2% cholesterol and 0.5% sodium cholate (w/w). Rats in two treatment groups were fed the same diet supplemented with 0.25% quercetin (Q-0.25) or 0.5% quercetin (Q-0.5) on the weight to weight basis, respectively. The final body weight, gain of body weight, the amount of feed intake and the feed efficiency of rats in between control and treatment groups were not significantly different. Serum glucose, total protein, albumin, globulin and albumin/globulin (A/G) ratio of rats showed no significant differences between control and treatment groups. Serum total cholesterol (TC), low density lipoprotein-cholesterol (LDL-C) and atherogenic index(AI) of rats in both Q-0.25 and Q-0.5 groups were significantly lower than in C group (p < 0.05). However serum high density lipoprotein-cholesterol (HDL-C) was significantly higher in both Q-0.25 and Q-0.5 groups than in C group (p < 0.05). The levels of triglyceride in sera of rats showed no significant differences between control and treatment groups. The values of AST and ALT in sera of rats showed no significant differences between control and treatment groups. Therefore the supplementation of quercetin to high fat and high cholesterol diet in rats was effective in reducing the levels of serum lipids to cause cardiovascular diseases and in elevating the level of HDL-C to protect cardiovascular diseases.

On the Fekete-Szegö Problem for a Certain Class of Meromorphic Functions Using q-Derivative Operator

  • Aouf, Mohamed Kamal;Orhan, Halit
    • Kyungpook Mathematical Journal
    • /
    • v.58 no.2
    • /
    • pp.307-318
    • /
    • 2018
  • In this paper, we obtain $Fekete-Szeg{\ddot{o}}$ inequalities for certain class of meromorphic functions f(z) for which $-{\frac{(1-{\frac{{\alpha}}{q}})qzD_qf(z)+{\alpha}qzD_q[zD_qf(z)]}{(1-{\frac{{\alpha}}{q}})f(z)+{\alpha}zD_qf(z)}{\prec}{\varphi}(z)$(${\alpha}{\in}{\mathbb{C}}{\backslash}(0,1]$, 0 < q < 1). Sharp bounds for the $Fekete-Szeg{\ddot{o}}$ functional ${\mid}{\alpha}_1-{\mu}{\alpha}^2_0{\mid}$ are obtained.

Performance Evaluation of Q-Algorithm with Tag Number Estimation Scheme

  • Lim, In-Taek
    • Journal of information and communication convergence engineering
    • /
    • v.8 no.1
    • /
    • pp.45-50
    • /
    • 2010
  • EPCglobal Class-1 Gen-2 standard proposed Q-algorithm to select a frame size for the next query round. Q-algorithm calculates the frame size without estimating the number of tags. Therefore, the Q-algorithm has advantage that the reader's algorithm is simpler than other algorithms. However, it is impossible to allocate the optimized frame size. Also. the conventional Q-algorithm does not define an optimized parameter value C for adjusting the frame size. In this paper, we propose a modified Q-algorithm with the tag number estimation scheme, and evaluate the performance with computer simulations.

Anti-obesity Effect of Yogurt Fermented by Lactobacillus plantarum Q180 in Diet-induced Obese Rats

  • Park, Sun-Young;Seong, Ki-Seung;Lim, Sang-Dong
    • Food Science of Animal Resources
    • /
    • v.36 no.1
    • /
    • pp.77-83
    • /
    • 2016
  • This study aimed to investigate the anti-obesity effects of yogurt fermented by Lactobacillus plantarum Q180 in diet-induced obese rats. To examine the effects, male Sprague-Dawley rats were fed on six different diets, as follows: Group A was fed an ND and orally administrated saline solution; Group B, an HFD and orally administrated saline solution; Group C, an HFD and orally administrated yogurt fermented by ABT-3 and L. plantarum Q180; Group D, an HFD and orally administrated yogurt with added Garcinia cambogia extract, fermented by ABT-3 and L. plantarum Q180; Group E, an HFD and orally administrated yogurt fermented by L. plantarum Q180; and Group F, an HFD and orally administrated yogurt with added Garcinia cambogia extract, fermented by L. plantarum Q180 for eight weeks. After eight weeks, the rate of increase in bodyweight was 5.14%, 6.5%, 3.35% and 10.81% lower in groups C, D, E and F, respectively, compared with group B; the epididymal fat weight of groups E and F was significantly lower than that of group B; and the level of triglyceride and leptin was significantly reduced in groups C, D, E and F compared to group B. In addition, the level of AST was reduced in group C compared to the other groups. To examine the effects of yogurt on the reduction of adipocyte size, the adipocyte sizes were measured. The number of large-size adipose tissue was less distributed in groups A, C, D, E and F than in group B.

Influence of Nd2O3 Addition to 0.3CaTiO3-0.7(Li1/2Nb1/2)TiO3 on their Microwave Dielectric Properties (Nd2O3 첨가가 0.3CaTiO3-0.7(Li1/2Nb1/2)TiO3 세라믹스의 마이크로파 유전특성에 미치는 영향)

  • 김범수;박일환;윤상옥;김경용
    • Journal of the Korean Ceramic Society
    • /
    • v.39 no.1
    • /
    • pp.26-32
    • /
    • 2002
  • The effects of $Nd_2O_3$ addition to $Q{\cdot}f_{0}(GHz)$ ceramics with ${\varepsilon}_r$ of 126, $Q{\cdot}f_{0}(GHz)$ of 2240 and of $68\;ppm/^{\circ}C$ on their microwave properties were investigated. For the addition of 5 wt% $Nd_2O_3$, the dielectric constant (${\varepsilon}_r$) showed maximum value of 131, then decreased with the further addition of $Nd_2O_3$. $Q{\cdot}f_{0}(GHz)$ value was still increased to 3533 with 9 wt% $Nd_2O_3$ addition, it is influenced by densification of grain boundary. With more addition of $Nd_2O_3$ up to 18 wt%, the abnormal grain growth have influence on the decreasing of $Q{\cdot}f_{0}(GHz)$ value. But with the further addition of $Nd_2O_3$ over 25 wt%, the $Q{\cdot}f_{0}(GHz)$ value was again increased by the effect of the second phase ($Nd_2Ti_2O_7$) forming. The temperature coefficient of resonant frequency (${\tau}_f$) was decreased from $+\;68\;ppm/^{\circ}C$ with the addition of $Nd_2O_3$, reached $0\;ppm/^{\circ}C$ at 12 wt% addition, and became negative with the further addition of $Nd_2O_3$. The optimum microwave dielectric properties were obtained for $0.3CaTiO_3-0.7(Li_{1/2}Nd_{1/2})TiO_3$ with 9 wt% $Nd_2O_3$ sintered at $1425^{\circ}C$ for 3 hrs. The dielectric constant (${\varepsilon}_r$), the $Q{\cdot}f_{0}(GHz)$ value, and the temperature coefficient of resonant frequency (${\tau}_f$) were 108, 3533, and $+\;6\;ppm/^{\circ}C$, respectively.