• Title/Summary/Keyword: branch point

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GENERAL SOLUTION AND ULAM-HYERS STABILITY OF VIGINTI FUNCTIONAL EQUATIONS IN MULTI-BANACH SPACES

  • Murali, Ramdoss;Bodaghi, Abasalt;Raj, Aruldass Antony
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.2
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    • pp.199-230
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    • 2018
  • In this paper, we introduce the general form of a viginti functional equation. Then, we find the general solution and study the generalized Ulam-Hyers stability of such functional equation in multi-Banach spaces by using fixed point technique. Also, we indicate an example for non-stability case regarding to this new functional equation.

A NEW TYPE OF THE ADDITIVE FUNCTIONAL EQUATIONS ON INTUITIONISTIC FUZZY NORMED SPACES

  • Arunkumar, Mohan;Bodaghi, Abasalt;Namachivayam, Thirumal;Sathya, Elumalai
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.915-932
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    • 2017
  • In this paper, we introduce a new type of additive functional equations and establish the generalized Ulam-Hyers stability for it in intuitionistic fuzzy normed space by using direct and fixed point methods.

GENERAL SYSTEM OF MULTI-SEXTIC MAPPINGS AND STABILITY RESULTS

  • Abasalt Bodaghi
    • Communications of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.509-524
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    • 2023
  • In this study, we characterize the structure of the multivariable mappings which are sextic in each component. Indeed, we unify the general system of multi-sextic functional equations defining a multi-sextic mapping to a single equation. We also establish the Hyers-Ulam and Găvruţa stability of multi-sextic mappings by a fixed point theorem in non-Archimedean normed spaces. Moreover, we generalize some known stability results in the setting of quasi-𝛽-normed spaces. Using a characterization result, we indicate an example for the case that a multi-sextic mapping is non-stable.

Comparative study of pulse point using hemodynamics (혈류역학을 이용한 촌구와 인영의 특성비교)

  • Shin, Sang-hoon;Park, Dae-hun;Park, Young-jae;Park, Young-bae
    • Journal of Acupuncture Research
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    • v.21 no.5
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    • pp.241-248
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    • 2004
  • Objectives : The purpose of this study is to examine the hemodynamic characteristics of pulse point. Methods : The computational analysis algorithms of arterial tree system was derived. In order to investigate the effect of internal organ on the pulse point, the diameter of celiac artery was reduced by half. Results : The sensitivity of flow change at the Inyoung(Renying) is better than that of the Chongu(Cunkou). but the Inyoung was worse than the Chongu in the point of the left and right symmetry. The pressure changes at the Inyoung and the Chongu were in the similar range. Conclusions : It was found from the result that the Chongu shows the more symmetrical hemodynamic characteristics than the Inyoung.

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Anatomic Analysis of Rectus Femoris Functional Flap in Korean (대퇴직근 기능성 유리 피판술을 위한 신경 및 혈관에 대한 해부학적 고찰)

  • Han, Kyoung-Jin;Lee, Young-Kil;Kim, Joon-Yong;Han, Seung-Hwan;Lee, Du-Hyoung;Cho, Jae-Ho
    • Archives of Reconstructive Microsurgery
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    • v.16 no.1
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    • pp.1-5
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    • 2007
  • The purpose of this article to evaluate the availability of the rectus femoris flap in Korean subjects. Material and Methods is that Cadaveric dissections were done on 51 femoral triangles of 26 cadevers. We measured the length of the direct head of rectus femoris from anterior superior iliac spine to patella upper pole, ASIS to lateral border of femoral nerve, and entry point of femoral nerve and vessel branches to rectus. Usually, there were three terminal branches to rectus femoris from the femoral nerve. The entry point of the first branch was at the proximal $17.5{\sim}31.4%$ portion of the rectus femoris. The second and the third branch entered at the proximal $22.5{\sim}40.7%$ and $26.3{\sim}42.3%$, respectively. The vessel entry was at $20.2{\sim}37.3%$. The length from ASIS to femoral nerve was $3.5{\sim}8.5\;cm$. Among the 51 rectus femoris muscles, 44 had one nutrient artery, and 7 had 2 nutrient arteries. The nutrient artery originated from the descending branch of the lateral femoral circumflex artery in 18(40.9%) cases, directly from the lateral femoral circumflex artery in 8(18.0%) cases, and from proximal(6 cases, 13.6%) and distal(12 cases, 27.3%) portion of the deep femoral artery. The average length of the nutrient artery was 29.8 mm and the width was 2.14 mm. The point where it meets the main feeding artery of the rectus femoris was $9.0{\sim}15.0\;cm$ from the ASIS. In all cases, the main artery's entrance was proximal to the first nerve branch. Conclusion is that rectus femoris has available data for functional flap.

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Open set Object Detection combining Multi-branch Tree and ASSL (다중 분기 트리와 ASSL을 결합한 오픈 셋 물체 검출)

  • Shin, Dong-Kyun;Ahmed, Minhaz Uddin;Kim, JinWoo;Rhee, Phill-Kyu
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.18 no.5
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    • pp.171-177
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    • 2018
  • Recently there are many image datasets which has variety of data class and point to extract general features. But in order to this variety data class and point, deep learning model trained this dataset has not good performance in heterogeneous data feature local area. In this paper, we propose the structure which use sub-category and openset object detection methods to train more robust model, named multi-branch tree using ASSL. By using this structure, we can have more robust object detection deep learning model in heterogeneous data feature environment.

A Study on Design of a Low Complexity TCM Decoder Combined with Space-Time Block Codes (시공간 블록부호(STBC)가 결합된 TCM 디코더 설계에 관한 연구)

  • 박철현;정윤호;이서구;김근회;김재석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.3A
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    • pp.324-330
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    • 2004
  • In this paper, we propose the TCM(Trellis coded modulation) decoding scheme that reduces the number of operations in branch metric with STBC(space time block codes) channel information and present the implementation results. The proposed TCM decoding scheme needs only 1 signal point in each TCM subset. Using bias point scheme, It detects the minimum distance symbol. The proposed TCM decoding scheme can reduce the branch metric calculations. In case of 16QAM 8 subset, the reduction ratio is about 50% and for 64QAM 8 subset, about 80% reduction can be obtained. The results of logic synthesis for the TCM and STBC decoder with the proposed scheme are 57.6K gate count.

Stress intensity factor calculation for semi-elliptical cracks on functionally graded material coated cylinders

  • Farahpour, Peyman;Babaghasabha, Vahid;Khadem, Mahdi
    • Structural Engineering and Mechanics
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    • v.55 no.6
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    • pp.1087-1097
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    • 2015
  • In this paper, the effect of functionally graded material (FGM) coatings on the fracture behavior of semi-elliptical cracks in cylinders is assessed. The objective is to calculate the stress intensity factor (SIF) of a longitudinal semi-elliptical crack on the wall of an aluminum cylinder with FGM coating. A three-dimensional finite element method (FEM) is used for constructing the mechanical models and analyzing the SIFs of cracks. The effect of many geometrical parameters such as relative depth, crack aspect ratio, FG coating thickness to liner thickness as well as the mechanical properties of the FG coating on the SIF of the cracks is discussed. For a special case, the validity of the FE model is examined. The results indicated that there is a particular crack aspect ratio in which the maximum value of SIFs changes from the deepest point to the surface point of the crack. Moreover, it was found that the SIFs decrease by increasing the thickness ratio of the cylinder. But, the cylinder length has no effect on the crack SIFs.