• Korean Management Science Review
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• v.24 no.2
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• pp.1-18
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• 2007

This paper presents a consolidated patent index to measure national technology innovation and science technology activation, as well as index for the main constituent such as corporation, research organization by comprehensive analysis of existing patent index. It is classified by macroscopic index and analytical index in the consolidated patent index, in which macroscopic index is to present a degree of innovation in national scientific innovation and is divided into the Consolidated Patent Index and Index for comparison between countries. The analytical index basically designed to measure R&D activity by the main constituent is divided to present by quantitative index utilizing bibliographical data in patent and other technical publication related therein, and qualitative index for analysis of bibliographical data. In this paper, the Consolidated Patent Index is presented by adding Creation Index representing for patent by developing excellent technology, Evaluation Index representing valuable technology thereof, and Utility Index representing applicability diffused.

• Communications of the Korean Mathematical Society
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• v.4 no.1
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• pp.113-119
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• 1989

• The Pure and Applied Mathematics
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• v.23 no.4
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• pp.377-383
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• 2016

The set of priors in the representation of coherent risk measure is expressed in terms of quantile function and increasing concave function. We show that the set of prior, $\mathcal{Q}_c$ in (1.2) is equal to the set of $\mathcal{Q}_m$ in (1.6), as maximal representing set $\mathcal{Q}_{max}$ defined in (1.7).

• Communications of the Korean Mathematical Society
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• v.35 no.1
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• pp.137-149
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• 2020

Let γ⁽ⁿ⁾ ≡ {γ_ij} (0 ≤ i+j ≤ 2n, |i-j| ≤ n) be a sequence in the complex number set ℂ and let E (n) be the Embry truncated moment matrices corresponding from γ⁽ⁿ⁾. For an odd number n, it is known that γ⁽ⁿ⁾ has a rank E (n)-atomic representing measure if and only if E(n) ≥ 0 and E(n) admits a flat extension E(n + 1). In this paper we suggest a related problem: if E(n) is positive and nonsingular, does E(n) have a flat extension E(n + 1)? and give a negative answer in the case of E(3). And we obtain some necessary conditions for positive and nonsingular matrix E (3), and also its sufficient conditions.

• Physical Therapy Rehabilitation Science
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• v.11 no.1
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• pp.1-7
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• 2022

Objective: The purpose of this study was to assess the validity of the global rating of knee function as a measure of participation restrictions experienced during activities of daily living and sports by patients with a history of anterior cruciate ligament reconstruction (ACLR). Design: Cross-sectional study. Methods: Forty-three subjects (33 males, 10 females, age=20.3 ± 1.3 years), at a mean of 31.2 ± 14.4 months following ACLR, participated in this study. During testing, subjects were first asked to provide a global rating of function by assessing their level of knee function on a 0 to 100 scale, with 0 points representing complete loss of function due to their knee injury and 100 points representing their level of function prior to their knee injury. After providing a global rating of function, subjects completed the Knee Outcome Survey (KOS) Activities of Daily Living Scale (ADLS) and Sports Activity Scale (SAS), which served as the measure of participation restrictions in this study. Results: Pearson product correlations revealed moderate relationships between the global rating of function and the ADLS (r=0.66, p<0.0001) and SAS (r=0.69, p<0.0001). Conclusions: The global rating of knee function provides a valid measure of participation restrictions experienced during activities of daily living and sports by patients with a history of ACLR.

• The Pure and Applied Mathematics
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• v.5 no.2
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• pp.101-108
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• 1998

For a smoothly bounded n-connected domain $\Omega$ in C, we get a formula representing the relation between the Szego" kernel associated with $\Omega$ and holomorphic mappings obtained from harmonic measure functions. By using it, we show that the coefficient of the above holomorphic map is zero in doubly connected domains.

• Honam Mathematical Journal
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• v.29 no.4
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• pp.569-576
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• 2007

Let $\cal{H}$ be a separable, infinite dimensional, complex Hilbert space. We call "an operator $\cal{T}$ acting on $\cal{H}$ has a star moment sequence supported on a set K" when there exist nonzero vectors u and v in $\cal{H}$ and a positive Borel measure ${\mu}$ such that <$T^{*j}T^ku$, v> = ${^\int\limits_{K}}\;{{\bar{z}}^j}\;{{\bar{z}}^k}\;d\mu$ for all j, $k\;\geq\;0$. We obtain a characterization to find a representing star moment measure and discuss some related properties.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.1
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• pp.1-3
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• 2009

Recently, Carlsson, Full\acute{e}$r and Majlender [1] presented the concept of possibilitic correlation representing an average degree of interaction between marginal distribution of a joint possibility distribution as compared to their respective dispersions. They also formulated the weak and strong forms of the possibilistic Cauchy-Schwarz inequality. In this paper, we define a new probability measure. Then the weak and strong forms of the Cauchy-Schwarz inequality are immediate consequence of probabilistic Cauchy-Schwarz inequality with respect to the new probability measure.

• The Pure and Applied Mathematics
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• v.31 no.4
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• pp.453-476
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• 2024

The Riemann-Stieltjes integrals of continuous functions with respect to a function of bounded variation can be represented by a regular, Borel, complex measure. In this paper, we study the link between the Riemann-Stieltjes integral and measure theory using this representation. Specifically, we investigate the Riemann-Stieltjes integrability and its measurability. Furthermore, we derive a criterion for Riemann-Stieltjes integrability through a method different from known proofs. In particular, we calculate the upper and lower Riemann-Stieltjes integrals with respect to a monotone increasing function.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.3
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• pp.439-450
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• 2009

In this note we give a connection between the truncated moment problem and the 2-variable subnormal completion problem.