• Title/Summary/Keyword: central series

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APPELL'S FUNCTION F1 AND EXTON'S TRIPLE HYPERGEOMETRIC FUNCTION X9

  • Choi, Junesang;Rathie, Arjun K.
    • The Pure and Applied Mathematics
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    • v.20 no.1
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    • pp.37-50
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    • 2013
  • In the theory of hypergeometric functions of one or several variables, a remarkable amount of mathematicians's concern has been given to develop their transformation formulas and summation identities. Here we aim at presenting explicit expressions (in a single form) of the following weighted Appell's function $F_1$: $$(1+2x)^{-a}(1+2z)^{-b}F_1\;\(c,\;a,\;b;\;2c+j;\;\frac{4x}{1+2x},\;\frac{4z}{1+2z}\)\;(j=0,\;{\pm}1,\;{\ldots},\;{\pm}5)$$ in terms of Exton's triple hypergeometric $X_9$. The results are derived with the help of generalizations of Kummer's second theorem very recently provided by Kim et al. A large number of very interesting special cases including Exton's result are also given.

Road Centerline Tracking From High Resolution Satellite Imagery By Least Squares Templates Matching

  • Park, Seung-Ran;Kim, Tae-Jung;Jeong, Soo;Kim, Kyung-Ok
    • Proceedings of the KSRS Conference
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    • 2002.10a
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    • pp.34-39
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    • 2002
  • Road information is very important for topographic mapping, transportation application, urban planning and other related application fields. Therefore, automatic detection of road networks from spatial imagery, such as aerial photos and satellite imagery can play a central role in road information acquisition. In this paper, we use least squares correlation matching alone for road center tracking and show that it works. We assumed that (bright) road centerlines would be visible in the image. We further assumed that within a same road segment, there would be only small differences in brightness values. This algorithm works by defining a template around a user-given input point, which shall lie on a road centerline, and then by matching the template against the image along the orientation of the road under consideration. Once matching succeeds, new match proceeds by shifting a matched target window further along road orientation at the target window. By repeating the process above, we obtain a series of points, which lie on a road centerline successively. A 1m resolution IKONOS images over Seoul and Daejeon were used for tests. The results showed that this algorithm could extract road centerlines in any orientation and help in fast and exact he ad-up digitization/vectorization of cartographic images.

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A Study on the Selection of Fillet Weld Conditions by Considering the Tack Welds (가접부를 고려한 필릿 용접조건의 선정에 관한 연구)

  • Lee, Jun-Young;Kim, Jae-Woong;Kim, Cheol-Hee
    • Journal of Welding and Joining
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    • v.24 no.5
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    • pp.29-36
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    • 2006
  • In this study, an experimental method for the selection of optimal welding condition was proposed in the fillet weld which was done over the tack weld. This method used the response surface analysis in which the leg length and the reinforcement height were chosen as the quality variables of the weld bead profile. The overall desirability function, which was combined desirability function fur the two quality variables, was employed as the objective function for getting the optimal welding condition. In the experiments, the target values of the leg length and the reinforcement height are 6m and zero respectively for the horizontal fillet weld of 10mm thickness mild steel. The optimal welding conditions could predict the weld bead profile(leg length and reinforcement height) as 6.00mm and 0.19mm without tack weld and 6.00mm and 0.48mm with tack weld. from a series of welding test, it was revealed that a uniform weld bead can be obtained by adopting the optimal welding condition which was determined according to the method proposed.

A visual inspection algorithm for detecting infinitesimal surface defects by using dominant frequency map (지배주파수도를 이용한 미소 표면 결함 추출을 위한 영상 처리 알고리듬)

  • Kim, Kim, Sang-Won;Kweon, Kweon, In-So
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.1
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    • pp.26-34
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    • 1996
  • One of the challenging tasks in visual inspection using CCD camera is to identify surface defects in an image with complex textured backgeound. In microscopic view, the surface of real objects shows regular or random textured patterns. In this paper, we present a visual inspection algorithm to extract abnormal surface defects in an image with textured background. The algorithm uses the space and frequency information at the same time by introducing the Dominant Frequency Map(DFM) which can describe the frequency characteristics of every small local region of an input image. We demonstrate the feasibility and effectiveness of the method through a series of real experiments for a 14" TV CRT mold. The method successfully identifies a variety of infinitesimal defects, whose size is larger than $50\mu\textrm{m}$, of the mold. The experimental results show that the DFM based method is less sensitive to the environmental changes, such as illumination and defocusing, than conventional vision techniques.ques.

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Cruise Report on TAO Real-time Monitoring Buoy System in the Pacific Ocean in April 2010 (2010년 4월 TAO 해양관측부이 시스템에 관한 탐사보고)

  • Kim, Dong-Guk;Kim, Seon-Jeong;Lee, Ha-Woong
    • Ocean and Polar Research
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    • v.33 no.4
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    • pp.507-516
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    • 2011
  • Tropical Atmosphere Ocean/Triangle Trans-Ocean Buoy Network (TAO/TRITON) Array is the series of buoys for the international ocean research project, which is mostly supported by National Ocean and Atmosphere Administration (NOAA) and Japan Agency for Marine-Earth Science and Technology (JAMSTEC). We can determine the effect of the equatorial and Pacific Ocean conditions on global climate change from buoy array measurement data. The TAO/TRITON array comprises around 70 measurement buoys from $10^{\circ}$ north to $10^{\circ}$ south in the tropics and between Galpagos and New Guinea. NOAA maintains ATLAS buoys in the central and eastern Pacific between $165^{\circ}E$ and $95^{\circ}W$, and JAMSTEC maintains the 12 buoys in the western Pacific along $137^{\circ}E$, $147^{\circ}E$, and $156^{\circ}E$. The KA-10-03 cruise excursion provided us with a good opportunity to obtain knowledge on oceanic buoy operation and maintenance. Further, we learned advanced techniques and know-how on buoy operation and maintenance. Once we are confident with our buoy management and maintenance techniques, both KORDI and NOAA technicians may be able to help each other when needed and share available resources.

Effect of Number of Turns of Pancake Windings on Central Magnetic Field of the HTS Magnet (팬케이크 권선의 권선수가 고온초전도 마그넷의 중심자장에 미치는 영향)

  • Kang, Myung-Hun;Lee, Kwang-Youn;Lee, Yong-Seok;Cha, Guee-Soo;Lee, Hee-Joon
    • Proceedings of the KIEE Conference
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    • 2007.04c
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    • pp.107-109
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    • 2007
  • Pancake windings have merits that are easier to make high field magnets and replace windings when an accident happens and windings are aged. The current of the whole magnet consisted of windings connected in series was limited by the minimum current of the top and bottom pancake windings where maximum perpendicular magnetic field was applied. This paper propose a optimal design of a HTS magnet excited by a single source, where evolution strategy was adopted for optimal design algorithm. A magnet consisted of 8 BSCCO pancakes was chosen to prove the effectiveness of this optimal design method. Magnetic field at the center of a magnet was chosen as the object function and it was used maximized. Results of the optimal design shows that the increment of the number of turns of the pancake winding make the magnetic field of the center of the magnet increase but the current of the winding decrease for the larger perpendicular magnetic field.

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Network Connecting Structure and Contextual Meanings of Chungbuk Innovation Projects Based on the Amalgamation of Social Network Analysis and System Dynamics Approaches (SNA와 SD 방법론을 활용한 충북 지역혁신사업의 네트워크 연결구조와 함의)

  • Lee, Mi-Ra;Hong, Seong-Ho;Park, Ju-Hye;Lee, Man-Hyung
    • Korean System Dynamics Review
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    • v.10 no.2
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    • pp.103-120
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    • 2009
  • Using various data derived from the regional innovation projects in the IT and BT-sectors within Chungbuk Province, this study tries to observe formation processes of network connecting structure and their spill-over effects. Considering the dynamic nature of key issues, it applies both social network analysis and causal loop methods. After a series of simulation exercises, we find that so-called extroverted regional innovation projects, that is, ones financially supported by the central government, reveal a higher tendency in the centrality, heavily depending on a handful of well reputed organizations. It is quite similar to the reinforcing mechanism, resulting in the rich-get-richer and the poor-get-poorer. Compared with the existing documents, nonetheless, it shows relatively weak in the mechanism strength, implying the fact that regional innovation projects have significantly contributed to ameliorating the unequal distribution of innovation organizations within Chungbuk Province. On the other hand, this study concludes that all the brokerage organizations related to the regional innovation projects have settled in Chungbuk Province. Whereas the Capital Region-based organizations present a higher tendency in the knowledge-network, it seems that the regional innovation projects have significantly contributed to upgrading direct and indirect competitiveness of the local organizations.

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On Mode Correlation of Solar Acoustic Oscillations

  • Chang, Heon-Young
    • Journal of Astronomy and Space Sciences
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    • v.26 no.3
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    • pp.287-294
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    • 2009
  • In helioseismology it is normally assumed that p-mode oscillations are excited in a statistically independent fashion. Unfortunately, however, this issue is not clearly settled down in that two experiments exist, which apparently look in discrepancy. That is, Appourchaux et al. (2000) looked at bin-to-bin correlation and found no evidence that the assumption is invalid. On the other hand, Roth (2001) reported that p-mode pairs with nearby frequencies tend to be anti-correlated, possibly by a mode-coupling effect. This work is motivated by an idea that one may test if there exists an excess of anticorrelated power variations of pairs of solar p-modes. We have analyzed a 72-day MDI spherical-harmonic time series to examine temporal variations of p-mode power and their correlation. The power variation is computed by a running-window method after the previous study by Roth (2001), and then distribution function of power correlation between mode pairs is produced. We have confirmed Roth's result that there is an excess of anti-correlated p-mode pairs with nearby frequencies. On the other hand, the amount of excess was somewhat smaller than the previous study. Moreover, the distribution function does not exhibit significant change when we paired modes with non-nearby frequencies, implying that the excess is not due to mode coupling. We conclude that the origin of this excess of anticorrelations may not be a solar physical process, by pointing out the possibility of statistical bias playing the central role in producing the excess.

A SUMMATION FORMULA FOR THE SERIES 3F2 DUE TO FOX AND ITS GENERALIZATIONS

  • Choi, Junesang;Rathie, Arjun K.
    • Communications of the Korean Mathematical Society
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    • v.30 no.2
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    • pp.103-108
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    • 2015
  • Fox [2] presented an interesting identity for $_pF_q$ which is expressed in terms of a finite summation of $_pF_q$'s whose involved numerator and denominator parameters are different from those in the starting one. Moreover Fox [2] found a very interesting and general summation formula for $_3F_2(1/2)$ as a special case of his above-mentioned general identity with the help of Kummer's second summation theorem for $_2F_1(1/2)$. Here, in this paper, we show how two general summation formulas for $$_3F_2\[\array{\hspace{110}{\alpha},{\beta},{\gamma};\\{\alpha}-m,\;\frac{1}{2}({\beta}+{\gamma}+i+1);}\;{\frac{1}{2}}\]$$, m being a nonnegative integer and i any integer, can be easily established by suitably specializing the above-mentioned Fox's general identity with, here, the aid of generalizations of Kummer's second summation theorem for $_2F_1(1/2)$ obtained recently by Rakha and Rathie [7]. Several known results are also seen to be certain special cases of our main identities.

In Vivo Evaluation of Curcumin-loaded Nanoparticles in a A549 Xenograft Mice Model

  • Yin, Hai-Tao;Zhang, De-Geng;Wu, Xiao-Li;Huang, Xin-En;Chen, Gang
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.1
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    • pp.409-412
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    • 2013
  • Curcumin (Cum) has been reported to have potential chemo-preventive and chemotherapeutic activity through influencing various processes, inducing cell cycle arrest, differentiation and apoptosis in a series of cancers. However, the poor solubility of Cum limits its further applications in the treatment of cancer. We have previously reported Cum-loaded nanoparticles (Cum-NPs) prepared with amphilic methoxy poly(ethylene glycol)-polycaprolactone (mPEG-PCL) block copolymers. The current study demonstrated superior antitumor efficacy of Cum-NPs over free Cum in the treatment of lung cancer. In vivo evaluation further demonstrated superior anticancer effects of Cum-NPs by delaying tumor growth compared to free Cum in an established A549 transplanted mice model. Moreover, Cum-NPs showed little toxicity to normal tissues including bone marrow, liver and kidney at a therapeutic dose. These results suggest that Cum-NPs are effective to inhibit the growth of human lung cancer with little toxicity to normal tissues, and could provide a clinically useful therapeutic regimen. They thus merit more research to evaluate the feasibility of clinical application.