• Title/Summary/Keyword: weighted values

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DUALITY OF WEIGHTED SUM FORMULAS OF ALTERNATING MULTIPLE T-VALUES

  • Xu, Ce
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1261-1278
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    • 2021
  • Recently, a new kind of multiple zeta value of level two T(k) (which is called multiple T-value) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple T-values, and study several duality formulas of weighted sum formulas about alternating multiple T-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple T-values can also be obtained.

Modified distance measures for PCA-based face recognition

  • Song Young-Jun;Kim Young-Gil;Kim Nam
    • International Journal of Contents
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    • v.1 no.2
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    • pp.1-4
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    • 2005
  • In this paper, we compare 5 weighted distance measures between feature vectors with respect to the recognition performance of the principal component analysis(PCA)-based face recognition method, and propose modified weighted distance. The proposed method was modification of z, the weighted vector. The simulation was performed using the ORL face database, showed the best result for some weighted distances such as weighted manhattan, weighted angle-based, weighted modified manhattan, and weighted modified SSE. We also showed that using some various values of z(weighted values) we can achieve better recognition results that using the existing weighted value.

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A Study on the Development of Universal Design Evaluation System in the Public Space (공공공간의 유니버설디자인 평가체계 개발 연구)

  • Park, Cheongho
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.27 no.2
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    • pp.25-37
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    • 2021
  • Purpose: The main purpose of this study is to develop an evaluation system using the weighted-values of various users and experts for the public space to apply Universal Design, and additionally to find out the commonalities and differences by comparing the importance of evaluation indicators between users and expert groups. Method: A one-sample t-test was conducted to verify that the components of the public space to universal design application are suitable as evaluation indicators, and AHP(analytic hierarchy process) was performed to derive weight-values for the evaluation system. Results: The importance-values for the total 23 facilities to be used as evaluation indicators were derived by multiplying the weighted-values of each sector, domain, and facility by the disabled, non-disabled, and experts. To summarize the results of overall importance-values derived from the AHP, The disabled showed high-rank weighted-values in facilities of building sector > park & recreation sector > cross domain and low-rank weighted-values for sidewalk and roadway domain. The non-disabled showed high-rank weighted-values in facilities of park & recreation sector > roadway domain > building sector > cross domain and low-rank weighted-values for sidewalk domain. Experts mainly showed high-rank weighted-values in the cross domain and in facilities related to entry and movement to the target space in all sectors and domains. However, it showed moderate importance-values in the sanitary space. The disabled who are restricted to movement have a high demand for universal design in buildings consisting of vertical moving line, and non-disabled people who are not limited to physical movement have a high demand for universal design in parks and recreation sector for increased leisure time. It means that experts are important to recognize the principles of making space because they value cross domain and the key spaces and facilities for suitable the purpose of use. In addition, it can be inferred that non-disabled people have a higher demand for safety than disabled people due to their high importance in roadway domain and facilities of safety and disaster prevention. Implications: The significance of this study is the establishment of a quantitative universal design evaluation system for public spaces considering the different perspectives of the disabled and the non-disabled.

Some Further Results on Weighted Sharing of Values for Meromorphic Functions Concerning a Result of Terglane

  • Li, Xiao-Min;Yi, Hong-Xun
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.419-431
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    • 2008
  • In this paper, we deal with the problem of meromorphic functions that have three weighted sharing values, and obtain some uniqueness theorems which improve those given by N. Terglane, Hong-Xun Yi & Xiao-Min Li, and others. Some examples are provided to show that the results in this paper are best possible.

Magnetic Resonance Imaging Evaluation of the Prostate in Normal Dogs

  • Cho, Yu-Gyeong;Choi, Ho-jung;Lee, Ki-ja;Lee, Youngwon
    • Journal of Veterinary Clinics
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    • v.37 no.6
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    • pp.317-323
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    • 2020
  • The aims of this study were to describe the appearance and size of the normal canine prostate using magnetic resonance (MR) imaging and to calculate the apparent diffusion coefficient (ADC) values. MR images were obtained from seven intact male beagle dogs using a 1.5 T MR unit. The sequences included pre- and post-contrast T1- and T2-weighted imaging with and without fat saturation. The signal intensity of the prostate was compared with the adjacent musculature, fat, and urine in the urinary bladder. We recorded the mean prostatic length, width, and height and the length of the sixth lumbar vertebral body (L6). In addition, the prostatic length (rL), width (rW), and height (rH) ratios to L6 were calculated. Diffusion-weighted images of the prostate were obtained and ADC values were calculated. The prostate was bilobed and oval-shaped, homogenous on T1-weighted images, and heterogeneous with radiating lines on T2-weighted images. Post-contrast T1-weighted sequences showed contrast enhancement of the central and radiating striations. The prostatic capsule was clearly identified on post-contrast T1-weighted images with fat saturation. The ADC values were 1.72-2.04 × 10-3mm2/sec (mean, 1.88 × 10-3mm2/sec). Knowledge of the normal appearance of the prostate on MR images is essential to assess prostatic diseases in dogs.

The study of utility about magnetic resonance elastography for measurements of liver stiffness : the comparisons of ADC value & T2 weighted image (간 경화도 측정을 위한 3.0T 자기공명 탄성계수 영상의 유용성에 대한 고찰 : 확산계수 영상 및 T2 강조 영상과의 비교)

  • Kim, Sang-Woo;Kang, Chung-Hwan;Kim, Sung-Ho;Kim, Kyung-Soo;Kim, Soon-Bae
    • Korean Journal of Digital Imaging in Medicine
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    • v.14 no.1
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    • pp.21-29
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    • 2012
  • The purpose of this study is to evaluate the mutual relations by measuring SNR from T2 weighted image and ADC values on the basis of the stiffness values from liver tissues. This study was conducted that total 37 people(23 of males and 11 of females) were taken the liver MRI examination and average age was $54.5{\pm}12.7$ years old. The equipment was MAGNETOM Skyra 3.0T (SIEMENS, Erlangen, Germany) and 32 channel body-array coil. The examination were conducted with HASTE T2 weighted image by axial plane, Spin-echo EPI (echo planner image) DWI (b-value = 800) and Magnetic resonance elastography. The ROIs (region of interest: 200-300 $mm^2$) were established on the basis of the first axial stiffness image corresponded 95% confidence interval from axial stiffness image and then were measured values. After drawing the grid lines, signals were measured SNR from T2 weighted image and ADC values on the same locations that were analysed other 3 planes respectively. The results were showed correlation (0.057) that were increased to SNR from T2 weighted image by increasing stiffness value that no significant difference statistically p = 0.003. Other results were showed correlations (-0.301) that were decreased to ADC values by increasing stiffness values that no significant difference statistically p = 0.088. In the 3.0T equipment, the results may be error in much the same fashion as the 1.5T from ADC values by evaluation of fibrosis stage. However, Magnetic resonance elastography would be useful method that is used to diagnose exactly liver fibrosis stages in the 3.0T.

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Demosaicking Using Weighted Sum in Wavelet domain (가중치 합을 이용한 웨이블릿 영역의 디모자이킹)

  • Jeong, Bo-Gyu;Eom, Il-Kyu
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.821-822
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    • 2008
  • This paper presents a new demosaicking method based on weighted sum in the wavelet domain. In our method, the missing wavelet coefficients in lowest frequency subband are obtained by weighted sum. Since detail coefficients have large values at the edge region, these values are used as weighting factors. Detail coefficients are replaced by the coefficients in the corresponding subbands. Experimental results show that the proposed method generates good performance.

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Changes in SNR and ADC According to the Increase in b Value in Liver Diffusion-Weighted Images

  • Cho, Jae-Hwan;Kim, Ham-Gyum
    • Journal of Magnetics
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    • v.17 no.3
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    • pp.219-224
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    • 2012
  • In the present study, changes in signal-to-noise ratio (SNR) and apparent diffusion coefficient (ADC) of the diffusion-weighted images in the normal livers were investigated using changes in b values in 1.5 T MR (magnetic resonance) instruments. Respective diffusion-weighted images and ADC map images were obtained from 20 healthy individuals by increasing b values from 50 to 400 and 800 $s/mm^2$ using 1.5T MR scanner between January 2011 and November 2011. At each ADC map image obtained at each b value, ADCs in the right hepatic lobe, spleen and kidney were measured. As a result, ADCs of the right hepatic lobe, spleen and kidney have gradually decreased in the diffusion-weighted images in accordance with the reduced b value. This outcome may be used as preliminary data for applications to various abdominal diseases.