• Title/Summary/Keyword: number of functions

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A NOTE ON VALUE DISTRIBUTION OF COMPOSITE ENTIRE FUNCTIONS

  • Lahiri, Indrajit
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.1-6
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    • 2001
  • We discuss the value distribution of composite entire functions including those of infinite order and estimate the number of Q-points of such functions for an entire function Q or relatively slower growth.

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ON THE THEORY OF LORENTZ SURFACES WITH PARALLEL NORMALIZED MEAN CURVATURE VECTOR FIELD IN PSEUDO-EUCLIDEAN 4-SPACE

  • Aleksieva, Yana;Ganchev, Georgi;Milousheva, Velichka
    • Journal of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1077-1100
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    • 2016
  • We develop an invariant local theory of Lorentz surfaces in pseudo-Euclidean 4-space by use of a linear map of Weingarten type. We find a geometrically determined moving frame field at each point of the surface and obtain a system of geometric functions. We prove a fundamental existence and uniqueness theorem in terms of these functions. On any Lorentz surface with parallel normalized mean curvature vector field we introduce special geometric (canonical) parameters and prove that any such surface is determined up to a rigid motion by three invariant functions satisfying three natural partial differential equations. In this way we minimize the number of functions and the number of partial differential equations determining the surface, which solves the Lund-Regge problem for this class of surfaces.

Fuzzy System Representation of the Spline Interpolation for differentiable functions

  • Moon, Byung-Soo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.358-363
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    • 1998
  • An algorithm for representing the cubic spline interpolation of differentiable functions by a fuzzy system is presented in this paper. The cubic B-spline functions which form a basis for the interpolation function are used as the fuzzy sets for input fuzzification. The ordinal number of the coefficient cKL in the list of the coefficient cij's as sorted in increasing order, is taken to be the output fuzzy set number in the (k, l) th entry of the fuzzy rule table. Spike functions are used for the output fuzzy sets, with cij's as support boundaries after they are sorted. An algorithm to compute the support boundaries explicitly without solving the matrix equation involved is included, along with a few properties of the fuzzy rule matrix for the designed fuzzy system.

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An Estimation of Cost and Profit Functions under Cobb-Douglas Production Technology in the Coastal Fishing (Cobb-Douglas 생산기술특성하의 연안어선어업의 비용 및 이윤함수의 추정)

  • 김기수;강용주
    • The Journal of Fisheries Business Administration
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    • v.25 no.2
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    • pp.47-58
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    • 1994
  • This paper tries to estimate cost and profit functions under Cobb - Douglas production technology in the coastal fishing, using duality theory of production technology and cost function. Therefore this paper estimates in advance the production functions with two input variables, the number of working persons per tonage(WEMP) and the number of fishing equipment per tonage(WEQU). Then this paper estimates profit function and implicit cost function using the estimated coefficients from production functions. The results of this study show that the annual average profit pertonage of long bag set fishing and trap fishing amount to 4.1 million won and 3.9 million won respectively.

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A Comparative Study on the Pulmonary Function between Smoking Soldier and Non-smoking Soldier

  • Wang, Joong San;Choi, Myoung jin
    • Journal of International Academy of Physical Therapy Research
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    • v.9 no.4
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    • pp.1596-1601
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    • 2018
  • Smoking can be a significant cause of lung diseases and reduced respiratory functions. Among soldiers, smoking may have a negative impact on their health (physical strength) and well being. Information on differences in the respiratory functions of smokers and nonsmokers in the military services and the effects of the smoking duration and amount (i.e., the number of cigarettes smoked per day) would be useful. This study investigated smoking durations and smoking amounts among young male soldiers (N = 61). The forced vital capacity (FVC), forced expiratory volume in 1 sec (FEV1), and forced expiratory volume in 1 sec/forced vital capacities (FEV1/FEC) were measured FVC, FEV1, or FEV1/FEC of smokers and nonsmokers were not significantly different, and FVC and FEV1 were inversely proportional to smoking duration. Besides, the number of cigarettes smoked per day was not correlated with respiratory functions. These findings may be attributed to the effect of the strenuous physical activity (e.g., military drills) undertaken by soldiers on their respiratory functions. Despite the lack of evidence for a difference in the respiratory functions of smokers and nonsmokers, this study recommends ongoing respiratory function management through smoking cessation programs and respiratory physiotherapy to manage the respiratory functions of Korean smoking soldiers.

Improving Effect of Evening Primrose Oil on the Sexual Functions of Male Mice (달맞이꽃 종자유 투여가 수컷마우스의 성기능에 미치는 영향)

  • Shin, Sook-Jeong;Lee, Jeong-Ho
    • Korean Journal of Pharmacognosy
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    • v.37 no.2 s.145
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    • pp.85-91
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    • 2006
  • The present study was undertaken to evaluate the effect of evening primrose oil (EPO) on the male sexual functions. EPO (daily 0.5 ml/mouse) was orally intubated for 28 consecutive days to experimental ICR mice, and same vol. of vehicle to control mice. On the 14th and 28th experimental day, the testis weight, number of complete intromissions and mating, serum testosterone and cGMP levels, prostaglandin leveIs of penile corpus cavernosum smooth muscle cells, and NO-productive activity of endothelial cells were determined. The weight of body and testis, the number of complete intromissions during the 3hour period were somewhat increased in EPO treated mice than those of control. The number of sperm-positive females and testosterone level in serum were increased in experimental groups. The serum cGMP level was significantly increased but the NO production of ionomycin-stimulated HUVEC cells was not affected when EPO was added into cultures. These results suggest that oral administration of EPO enhanced the sexual functions of male mice, and EPO could be developed as a tonic improving sexual functions.

THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS

  • Jang, Lee-Chae
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.6
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    • pp.1181-1188
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    • 2010
  • q-Volkenborn integrals ([8]) and fermionic invariant q-integrals ([12]) are introduced by T. Kim. By using these integrals, Euler q-zeta functions are introduced by T. Kim ([18]). Then, by using the Euler q-zeta functions, S.-H. Rim, S. J. Lee, E. J. Moon, and J. H. Jin ([25]) studied q-Genocchi zeta functions. And also Y. H. Kim, W. Kim, and C. S. Ryoo ([7]) investigated twisted q-zeta functions and their applications. In this paper, we consider the q-analogue of twisted Lerch type Euler zeta functions defined by $${\varsigma}E,q,\varepsilon(s)=[2]q \sum\limits_{n=0}^\infty\frac{(-1)^n\epsilon^nq^{sn}}{[n]_q}$$ where 0 < q < 1, $\mathfrak{R}$(s) > 1, $\varepsilon{\in}T_p$, which are compared with Euler q-zeta functions in the reference ([18]). Furthermore, we give the q-extensions of the above twisted Lerch type Euler zeta functions at negative integers which interpolate twisted q-Euler polynomials.

ENUMERATION OF GRAPHS WITH GIVEN WEIGHTED NUMBER OF CONNECTED COMPONENTS

  • Song, Joungmin
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.6
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    • pp.1873-1882
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    • 2017
  • We give a generating function for the number of graphs with given numerical properties and prescribed weighted number of connected components. As an application, we give a generating function for the number of q-partite graphs of given order, size and number of connected components.

SIGNED TOTAL κ-DOMATIC NUMBERS OF GRAPHS

  • Khodkar, Abdollah;Sheikholeslami, S.M.
    • Journal of the Korean Mathematical Society
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    • v.48 no.3
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    • pp.551-563
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    • 2011
  • Let ${\kappa}$ be a positive integer and let G be a simple graph with vertex set V(G). A function f : V (G) ${\rightarrow}$ {-1, 1} is called a signed total ${\kappa}$-dominating function if ${\sum}_{u{\in}N({\upsilon})}f(u){\geq}{\kappa}$ for each vertex ${\upsilon}{\in}V(G)$. A set ${f_1,f_2,{\ldots},f_d}$ of signed total ${\kappa}$-dominating functions of G with the property that ${\sum}^d_{i=1}f_i({\upsilon}){\leq}1$ for each ${\upsilon}{\in}V(G)$, is called a signed total ${\kappa}$-dominating family (of functions) of G. The maximum number of functions in a signed total ${\kappa}$-dominating family of G is the signed total k-domatic number of G, denoted by $d^t_{kS}$(G). In this note we initiate the study of the signed total k-domatic numbers of graphs and present some sharp upper bounds for this parameter. We also determine the signed total signed total ${\kappa}$-domatic numbers of complete graphs and complete bipartite graphs.