• Title/Summary/Keyword: Sub-Function

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Relationship between the Change in Body Weight or Body Mass Index and Pulmonary Function (체중 및 체질량지수 차이에 따른 폐 기능과의 연관성)

  • Kim, Taeyoung;Woo, Jeonghyun;Lee, Woohyun;Jo, Seonkyung;Chun, Hyejin
    • Korean journal of health promotion
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    • v.19 no.2
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    • pp.91-95
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    • 2019
  • Background: Obesity and deterioration of pulmonary function are known to increase all-cause mortality and morbidity associated with chronic diseases. Obesity is a known risk factor for decreasing pulmonary function; however, studies on the effect of changes in body weight or body mass index (BMI) on pulmonary function are rare. This study aimed to investigate the relationship between the change in body weight or BMI and the pulmonary function test (PFT) in Koreans who underwent consecutive screening at a health promotion center. Methods: We enrolled 5,032 patients who underwent consecutive screening health check-ups at a health promotion center in 2015 and 2017. The BMI was calculated as the body weight (kg) divided by the square of the height (m2) in 2015 and 2017. We analyzed the association between the change in body weight or BMI and PFT. Results: In males, PFT and changes in body weight were associated with forced expiratory volume in 1 second (FEV1) but not with changes in BMI. In females, FEV1/forced vital capacity and forced expiratory flow between 25-75% of vital capacity (FEF25-75%) were significantly associated with the changes in body weight and BMI. A correlation analysis between body weight and BMI showed a negative correlation with FEF25-75% in males. In females, FEV1/FVC and FEF25-75% were negatively correlated. Conclusions: We observed that the increase in body weight and BMI was significantly associated with pulmonary function. This finding suggests that careful monitoring of body weight and BMI may aid in maintaining proper pulmonary function, thereby, reducing mortality and morbidity.

Development of Multipurpose Welding Jig for Sub-Frame (서브 프레임 제작용 다목적 용접지그 개발)

  • Shin, H.G.
    • Journal of the Korean Society of Mechanical Technology
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    • v.13 no.4
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    • pp.131-136
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    • 2011
  • In commercial vehicle, sub-frame which equipped in main frame supporting dump deck and oil tanker. This is the main structure for all equipment which including joint function. Sub-frame is made by welding process, this susceptible to deform and crack by its longitudinal size. Also various kind of sub-frame make it difficult to standardization in manufacturing process and exclusive jig is not adapted yet. Frame size is over 6~8m and weight is more than 300kg this make re-work more difficult. If manufacturing company made precise sub-frame, this is not only convenient for customers but also save the company money by reducing the working time. In this study manufacture the sub-frame be suitable for its main function and develop exclusive welding jig for obtain checking fixture function as well.

CONDITIONAL INTEGRAL TRANSFORMS OF FUNCTIONALS ON A FUNCTION SPACE OF TWO VARIABLES

  • Bong Jin, Kim
    • Korean Journal of Mathematics
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    • v.30 no.4
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    • pp.593-601
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    • 2022
  • Let C(Q) denote Yeh-Wiener space, the space of all real-valued continuous functions x(s, t) on Q ≡ [0, S] × [0, T] with x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. For each partition τ = τm,n = {(si, tj)|i = 1, . . . , m, j = 1, . . . , n} of Q with 0 = s0 < s1 < . . . < sm = S and 0 = t0 < t1 < . . . < tn = T, define a random vector Xτ : C(Q) → ℝmn by Xτ (x) = (x(s1, t1), . . . , x(sm, tn)). In this paper we study the conditional integral transform and the conditional convolution product for a class of cylinder type functionals defined on K(Q) with a given conditioning function Xτ above, where K(Q)is the space of all complex valued continuous functions of two variables on Q which satify x(s, 0) = x(0, t) = 0 for every (s, t) ∈ Q. In particular we derive a useful equation which allows to calculate the conditional integral transform of the conditional convolution product without ever actually calculating convolution product or conditional convolution product.

GEOMETRIC PROPERTIES ON (j, k)-SYMMETRIC FUNCTIONS RELATED TO STARLIKE AND CONVEX FUNCTION

  • Gochhayat, Priyabrat;Prajapati, Anuja
    • Communications of the Korean Mathematical Society
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    • v.37 no.2
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    • pp.455-472
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    • 2022
  • For j = 0, 1, 2,…, k - 1; k ≥ 2; and - 1 ≤ B < A ≤ 1, we have introduced the functions classes denoted by ST[j,k](A, B) and K[j,k](A, B), respectively, called the generalized (j, k)-symmetric starlike and convex functions. We first proved the sharp bounds on |f(z)| and |f'(z)|. Various radii related problems, such as radius of (j, k)-symmetric starlikeness, convexity, strongly starlikeness and parabolic starlikeness are determined. The quantity |a23 - a5|, which provide the initial bound on Zalcman functional is obtained for the functions in the family ST[j,k]. Furthermore, the sharp pre-Schwarzian norm is also established for the case when f is a member of K[j,k](α) for all 0 ≤ α < 1.

ORDER, TYPE AND ZEROS OF ANALYTIC AND MEROMORPHIC FUNCTIONS OF [p, q] - ϕ ORDER IN THE UNIT DISC

  • Pulak Sahoo;Nityagopal Biswas
    • Korean Journal of Mathematics
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    • v.31 no.2
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    • pp.229-242
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    • 2023
  • In this paper, we investigate the [p, q] - φ order and [p, q] - φ type of f1 + f1, ${\frac{f_1}{f_2}}$ and f1 f1, where f1 and f1 are analytic or meromorphic functions with the same [p, q]-φ order and different [p, q]-φ type in the unit disc. Also, we study the [p, q]-φ order and [p, q]-φ type of different f and its derivative. At the end, we investigate the relationship between two different [p, q] - φ convergence exponents of f. We extend some earlier precedent well known results.

GROUP S3 CORDIAL REMAINDER LABELING OF SUBDIVISION OF GRAPHS

  • LOURDUSAMY, A.;WENCY, S. JENIFER;PATRICK, F.
    • Journal of applied mathematics & informatics
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    • v.38 no.3_4
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    • pp.221-238
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    • 2020
  • Let G = (V (G), E(G)) be a graph and let g : V (G) → S3 be a function. For each edge xy assign the label r where r is the remainder when o(g(x)) is divided by o(g(y)) or o(g(y)) is divided by o(g(x)) according as o(g(x)) ≥ o(g(y)) or o(g(y)) ≥ o(g(x)). The function g is called a group S3 cordial remainder labeling of G if |vg(i)-vg(j)| ≤ 1 and |eg(1)-eg(0)| ≤ 1, where vg(j) denotes the number of vertices labeled with j and eg(i) denotes the number of edges labeled with i (i = 0, 1). A graph G which admits a group S3 cordial remainder labeling is called a group S3 cordial remainder graph. In this paper, we prove that subdivision of graphs admit a group S3 cordial remainder labeling.

SOME REMARKS OF THE CARATHÉODORY'S INEQUALITY ON THE RIGHT HALF PLANE

  • Ornek, Bulent Nafi
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.201-215
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    • 2020
  • In this paper, a boundary version of Carathéodory's inequality on the right half plane for p-valent is investigated. Let Z(s) = 1+cp (s - 1)p +cp+1 (s - 1)p+1 +⋯ be an analytic function in the right half plane with ℜZ(s) ≤ A (A > 1) for ℜs ≥ 0. We derive inequalities for the modulus of Z(s) function, |Z'(0)|, by assuming the Z(s) function is also analytic at the boundary point s = 0 on the imaginary axis and finally, the sharpness of these inequalities is proved.

$MAP1, MAP2/G/1 FINITE QUEUES WITH SERVICE SCHEDULING FUNCTION DEPENDENT UPON QUEUE LENGTHS

  • Choi, Doo-Il;Lee, Sang-Min
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.4
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    • pp.673-689
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    • 2009
  • We analyze $MAP_1,\;MAP_2$/G/1 finite queues with service scheduling function dependent upon queue lengths. The customers are classified into two types. The arrivals of customers are assumed to be the Markovian Arrival Processes (MAPs). The service order of customers in each buffer is determined by a service scheduling function dependent upon queue lengths. Methods of embedded Markov chain and supplementary variable give us information for queue length of two buffers. Finally, the performance measures such as loss probability and mean waiting time are derived. Some numerical examples also are given with applications in telecommunication networks.

Applications of the Schwarz Lemma and Jack's Lemma for the Holomorphic Functions

  • Ornek, Bulent Nafi;Catal, Batuhan
    • Kyungpook Mathematical Journal
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    • v.60 no.3
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    • pp.507-518
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    • 2020
  • We consider a boundary version of the Schwarz Lemma on a certain class of functions which is denoted by 𝒩. For the function f(z) = z + a2z2 + a3z3 + … which is defined in the unit disc D such that the function f(z) belongs to the class 𝒩, we estimate from below the modulus of the angular derivative of the function ${\frac{f{^{\prime}^{\prime}}(z)}{f(z)}}$ at the boundary point c with f'(c) = 0. The sharpness of these inequalities is also proved.