• Title/Summary/Keyword: Mean-square calculus

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FUZZY DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITION

  • JEONG JAE UG
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.509-517
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    • 2005
  • We shall prove the existence and uniqueness theorem of a solution to the non local fuzzy differential equation using the contraction mapping principle.

A Concept of Fuzzy Wavelets based on Rank Operators and Alpha-Bands

  • Nobuhara, Hajime;Hirota, Kaoru
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.46-49
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    • 2003
  • A concept of fuzzy wavelets is proposed by a fuzzification of morphological wavelets. In the proposed fuzzy wavelets, analysis and synthesis schemes can be formulated as the operations of fuzzy relational calculus. In order to perform an efficient compression and reconstruction, an alphaband is also proposed as a soft thresholding of the wavelets. In the image compression/reconstruction experiment using test images extracted Standard Image DataBAse (SIDBA), it is confirmed that the root mean square error (RMSE) of the proposed soft thresholding is decreased to 87.3% of the conventional hard thresholding.

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Comparison of Northgate SD-3 and Modulith SLX Lithotriptors: Treatment Results with 2,000 Renal and Ureteral Stones (Northgate SD-3와 Modulith SLX 쇄석기를 이용한 체외충격파쇄석술의 비교분석: 단일 신결석 및 요로결석 2,000례의 치료결과 분석)

  • Lee, Jun-Young;Jung, Hee-Chang;Moon, Ki-Hak;Cho, Chul-Kyu;Park, Tong-Choon
    • Journal of Yeungnam Medical Science
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    • v.16 no.1
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    • pp.85-93
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    • 1999
  • Some reports have shown a decreased effectiveness of extracorporeal shock wave lithotripsy(ESWL) with newer lithotriptors. We compared the treatment results of ESWL with a second generation Northgate SD-3 and a third generation Modulith SLX device. A total of 2,000 patients underwent ESWL treatments for single urinary calculus between September, 1988 and July, 1998. 1,241 patients were treated with Northgate SD-3 between September, 1988 and December, 1995. And 759 patients were treated with Modulith SLX between January, 1996 and July 1998. The treatment results were compared using chi-square test to determine statistical significance. The overall success rate, success rate according to the location and size, the mean number of sessions, complication rate and retreatment rate were calculated, according to lithotriptor. The overall success rate was 90.6% with Northgate SD-3 and 89.1% with Modulith SLX. With Northgate SD-3 and Modulith SLX, the success rate according to the location was 91.0%(579/636) and 88.1%(236/268) in kidney: 93.2%(517/555) and 89.9%(258/287) in upper ureter: 83.3%10/12) and 94.4%167/177) in middle and lower ureter: 47.4%(18/38) and 55. 6%(15/27) in staghorn stone, respectively. The success rate according to the size of stone with Northgate SD-3 and Modulith SLX for stones with the size under 10mm was 96.1%(612/637) and 93.1%(470/505); from 11mm to 20mm was 87.3%(421/482) and 86.4%(165/191); from 21mm to 30mm, 77.5%(62/80) and 67.5%(23/34): and for stones larger than 31mm was 69%(29/42) and 62.1%(18/29), respectively. Mean number of sessions for successful fragmentation was 1.21 and 1.69, respectively with Northgate SD-3 and Modulith SLX. Retreatment rate was 16.7% and 17.5%, respectively. The complications after treatment were severe pain(6.2% with Northgate SD-3 vs. 2.0% with Modulith SLX), steinstrasse(3.4% vs. 1.9%), fever(1.2% vs. 0.5%) and perirenal hematoma(0.2% vs. 0%) in order of frequency. There was no significant difference in the effectiveness of Northgate SD-3 and Modulith SLX. However, a statistically significant difference was observed between the two lithotriptors. We concluded that ESWL with Modulith SLX is more safe compared to Northgate SD-3.

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