• 제목/요약/키워드: Left

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RIGHT AND LEFT QUOTIENT OF TWO BOUNDED OPERATORS ON HILBERT SPACES

  • Benharrat, Mohammed
    • 대한수학회논문집
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    • 제35권2호
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    • pp.547-563
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    • 2020
  • We define a left quotient as well as a right quotient of two bounded operators between Hilbert spaces, and we parametrize these two concepts using the Moore-Penrose inverse. In particular, we show that the adjoint of a left quotient is a right quotient and conversely. An explicit formulae for computing left (resp. right) quotient which correspond to adjoint, sum, and product of given left (resp. right) quotient of two bounded operators are also shown.

CUBIC IDEALS IN SEMIGROUPS

  • Jun, Young Bae;Khan, Asghar
    • 호남수학학술지
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    • 제35권4호
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    • pp.607-623
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    • 2013
  • Operational properties of cubic sets are first investigated. The notion of cubic subsemigroups and cubic left (resp. right) ideals are introduced, and several properties are investigated. Relations between cubic subsemigroups and cubic left (resp. right) ideals are discussed. Characterizations of cubic left (resp. right) ideals are considered, and how the images or inverse images of cubic subsemigroups and cubic left (resp. right) ideals become cubic subsemigroups and cubic left (resp. right) ideals, respectively, are studied.

GENERALIZED MODULE LEFT (m, n)-DERIVATIONS

  • Lee, Sung Jin;Lee, Jung Rye
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제23권4호
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    • pp.385-387
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    • 2016
  • $Fo{\check{s}}ner$ [4] defined a generalized module left (m, n)-derivation and proved the Hyers-Ulam stability of generalized module left (m, n)-derivations. In this note, we prove that every generalized module left (m, n)-derivation is trival if the algebra is unital and $m{\neq}n$.

Automatic Left Ventricle Segmentation using Split Energy Function including Orientation Term from CTA

  • Kang, Ho Chul
    • International journal of advanced smart convergence
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    • 제7권2호
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    • pp.1-6
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    • 2018
  • In this paper, we propose an automatic left ventricle segmentation method in computed tomography angiography (CTA) using separating energy function. First, we smooth the images by applying anisotropic diffusion filter to remove noise. Secondly, the volume of interest (VOI) is detected by using k-means clustering. Thirdly, we divide the left and right heart with split energy function. Finally, we extract only left ventricle from left and right heart with optimizing cost function including orientation term.

MODULE LEFT (m, n)-DERIVATIONS

  • Cui, Yinhua;Shin, Dong Yun
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제24권1호
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    • pp.33-34
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    • 2017
  • $Fo{\check{s}}ner$ [1] defined a module left (m, n)-derivation and proved the Hyers-Ulam stability of module left (m, n)-derivations. In this note, we prove that every module left (m, n)-derivation is trival if the algebra is unital and $m{\neq}n$.

좌 주관상동맥 혈관성형술 -2례 보고- (Left Main Coronary Artery Angioplasty -Two Cases Report-)

  • 이재덕
    • Journal of Chest Surgery
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    • 제28권7호
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    • pp.708-712
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    • 1995
  • We report two cases of angioplasty of the left main coronary artery for isolated left main coronary artery disease. One was 63-years old male with 90% occlusion of the left main coronary artery and the other was 64-years old male with 80% occlusion of the left main coronary artery. We have performed left main coronary artery angioplasty with pericardium. The postoperative courses were uneventful and good without specific complications.

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Injective Property Of Generalized Inverse Polynomial Module

  • Park, Sang-Won
    • 대한수학회논문집
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    • 제15권2호
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    • pp.257-261
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    • 2000
  • Northcott and Mckerrow proved that if R is a left noe-therian ring and E is an injective left R-module, then E[x-1] is an injective left R[x]-module. In this paper we generalize Northcott and McKerrow's result so that if R is a left noetherian ring and E is an in-jective left R-module, then E[x-S] is an injective left R[xS]-module, where S is a submonoid of N (N is the set of all natural numbers).

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Orthopantomograph에 있어서 상의 변화에 관한 연구 (THE STUDY OF THE IMAGE CHANGES IN THE ORTHOPANTOMOGRAPH)

  • 이기훈
    • 치과방사선
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    • 제8권1호
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    • pp.29-38
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    • 1978
  • The purpose of this study is to obtain the enshortening and elongation rate of image in orthopantomograph. The subjects were consisted of 15 dry skulls attached with radiopaque materials on each anatomical points. The length measurements were performed between two points on dry skull, and between two points on film. The results are as follows: 1. The enshortening and elongation rate between two anatomical points (1) ANS↔infraorbital foramen (left:+1.3%, right:+0.7%) (2) ANS↔maxillary tuberosity(left:-11.7%, right:-14.3%) (3) Zygomatic arch length(left:-4.8%, right:-8.9%) (4) first molar↔infraorbital foramen (left:+19.8%, right:+24%) (5) inter-infraorbital foramen length(-21.4%) (6) inter-first molar length (-31.8%) (7) inter-mental foramen length(+1.4%) (8) mental foramen↔mandible angle (left:+3.3%, right:+3.3%) (9) mental foramen↔lingula(left:+8.2%, right:+3.3%) (10) mental foramen↔condyle head(left:+5.2%, right:+4.5%) (11) mandible↔condyle head (left:+15.4%, right:+16.4%) 2. The closer the object is to the occlusal plane and the median line, the smaller it appears.

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개심술시 병발한 좌심실 기능부전에 대한 Partial Left Heart Bypass 치험 (Partial Left Heart Bypass for Perioperative Left Ventricular Failure [A Report of 2 Clinical Cases])

  • 이종국
    • Journal of Chest Surgery
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    • 제18권2호
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    • pp.193-204
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    • 1985
  • During the period from February to March, 1984, we employed a partial left heart bypass [left atrium to ascending aorta] in 2 patients who could not weaned from cardiopulmonary bypass with inotropic agents and cardiac pacing after coronary bypass surgery. These two patients showed significant improvement in ventricular function 18 to 47 hours after inserting the left heart bypass and were able to wean from the left heart bypass under using inotropic agents. Two patients died of multiple organ failures 11 days and 15 days postoperatively. These results indicate that early institution of left heart bypass in ventricular failure patients after open heart surgery can provide satisfactory long-term result.

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거대좌심방 환자의 좌심방 봉축술에 대한 임상적 고찰 (Clinical Study of the Left Atrial Plication in Giant Left Atrium)

  • 김승철
    • Journal of Chest Surgery
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    • 제20권1호
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    • pp.92-100
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    • 1987
  • On rare occasions, the left atrium may become extremely large in the mitral valvular disease, showing giant left atrium. The giant left atrium frequently produce compressing effects to the adjacent organs, resulting in the postoperative problems with regard to the hemodynamic and respiratory management. We experienced 13 patients with giant left atrium combined with mitral valvular disease from Oct. 1980 through June 1986. Eleven cases underwent mitral valve replacement with left atrial plication and the other 2 cases were underwent mitral valve replacement without left atrial plication. The follow-up period was 19.3 months in average. There were remarkable postoperative improvements in the chest roentgenogram, echocardiogram, lung function test, NYHA functional class in patients who underwent plication procedure. The postoperative mortality was 9% in plication cases and 50% in non-plication cases.

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