• Communications of the Korean Mathematical Society
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• v.35 no.2
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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.

• Honam Mathematical Journal
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• v.35 no.4
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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.

• The Pure and Applied Mathematics
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• v.23 no.4
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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 $m{\neq}n$.

• International journal of advanced smart convergence
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• v.7 no.2
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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.

• The Pure and Applied Mathematics
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• v.24 no.1
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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 $m{\neq}n$.

• Journal of Chest Surgery
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• v.28 no.7
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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.

• Communications of the Korean Mathematical Society
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• v.15 no.2
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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).

• Journal of Korean Academy of Oral and Maxillofacial Radiology
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• v.8 no.1
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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.

• Journal of Chest Surgery
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• v.18 no.2
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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.

• Journal of Chest Surgery
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• v.20 no.1
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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.