• Kyungpook Mathematical Journal
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• 제49권2호
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• pp.355-387
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• 2009

Functoriality conjecture is one of the central and influential subjects of the present day mathematics. Functoriality is the profound lifting problem formulated by Robert Langlands in the late 1960s in order to establish nonabelian class field theory. In this expository article, I describe the Langlands-Shahidi method, the local and global Langlands conjectures and the converse theorems which are powerful tools for the establishment of functoriality of some important cases, and survey the interesting results related to functoriality conjecture.

• 대한수학회보
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• 제21권1호
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• pp.33-33
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• 1984

• Maxillofacial Plastic and Reconstructive Surgery
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• 제29권6호
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• pp.543-547
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• 2007

The lips and corners of the mouth are not only important for appearance but are also essential for facial expression, speech, and nutrition. Defects in these areas can be caused by congenital clefts of the lip and face, trauma, infection, cysts, and excision of benign or malignant tumors. Numerous techniques have been introduced for reconstruction of the lips and corners of the mouth, and in particular, techniques such as the Kazanjian Roopenian I and II, Converse method, Zisser method, Platz and Wepner method. Gillies and Millard method are commonly utilized for elongation and reconstruction of the mouth corner. Few reports exist in the oral and maxillofacial surgery literature regarding correction of microsomia and reconstruction of the corners of the mouth. As such, the authors report a case of the corners of the mouth elongation in a patient with burn-induced microstomia using the Converse flap which yielded a satisfactory outcome.

• 대한수학회지
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• 제19권2호
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• pp.87-95
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• 1983

• 호남수학학술지
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• 제3권1호
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• pp.3-12
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• 1981

• East Asian mathematical journal
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• 제6권2호
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• pp.213-221
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• 1990

• 디지털융복합연구
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• 제11권12호
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• pp.777-784
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• 2013

작가가 현실을 어떻게 인식하고 또 어떻게 형상화시켰는가를 고찰하는 것은 문학작품의 가치를 규명하는 필수적 과정이다. 시대적 현실상황과 작품사이에는 일정한 대응관계가 있는데 이 양자를 매개하는 것은 바로 작가의식이기 때문에 이러한 작업이 선행되어야 한다. 문학적 인식행위는 작품의 외면적 현실을 통해 삶의 내재적 본질을 파악하는 과정이다. 문학작품은 이러한 기능을 수행하기 위하여 현실을 문학자체의 예술적 방법으로 형상화시켜야 한다. 문학작품의 본질을 파악하기 위해서는 작가가 어떠한 예술적 방법으로 현실성을 획득하고 또 형상화시켰는가를 규명해야한다.

• Kyungpook Mathematical Journal
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• 제55권4호
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• pp.817-826
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• 2015

Let R be a commutative ring with total quotient ring K. Each monomorphic R-module endomorphism of a cyclic R-module is an isomorphism if and only if R has Krull dimension 0. Each monomorphic R-module endomorphism of R is an isomorphism if and only if R = K. We say that R has property (${\star}$) if for each nonzero element $a{\in}R$, each monomorphic R-module endomorphism of R/Ra is an isomorphism. If R has property (${\star}$), then each nonzero principal prime ideal of R is a maximal ideal, but the converse is false, even for integral domains of Krull dimension 2. An integral domain R has property (${\star}$) if and only if R has no R-sequence of length 2; the "if" assertion fails in general for non-domain rings R. Each treed domain has property (${\star}$), but the converse is false.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제22권4호
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• pp.403-412
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• 2015

Kato[6] and Torres[9] characterized the Weierstrass semigroup of ramification points on h-hyperelliptic curves. Also they showed the converse results that if the Weierstrass semigroup of a point P on a curve C satisfies certain numerical condition then C can be a double cover of some curve and P is a ramification point of that double covering map. In this paper we expand their results on the Weierstrass semigroup of a ramification point of a double covering map to the Weierstrass semigroup of a pair (P, Q). We characterized the Weierstrass semigroup of a pair (P, Q) which lie on the same fiber of a double covering map to a curve with relatively small genus. Also we proved the converse: if the Weierstrass semigroup of a pair (P, Q) satisfies certain numerical condition then C can be a double cover of some curve and P, Q map to the same point under that double covering map.

• Advances in nano research
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• 제12권4호
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• pp.427-440
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• 2022

In the present study, the nonlocal strain gradient theory is used to predict the size-dependent buckling and post-buckling behavior of geometrically imperfect nano-scale piezo-flexomagnetic plate strips in two modes of direct and converse flexomagnetic effects. The first-order shear deformation plate theory is used to analyze analytically nano-strips with simply supported boundary conditions. The nonlinear governing equations of equilibrium and associated boundary conditions are derived using the principle of minimum total potential energy with consideration of the von Kármán-type of geometric nonlinearity. A closed-form solution of governing differential equation is obtained, which is easily usable for engineers and designers. To validate the presented formulations, whenever possible, a comparison with the results found in the open literature is reported for buckling loads. A parametric study is presented to examine the effect of scaling parameters, plate slenderness ratio, temperature, the mid-plane initial rise, flexomagnetic coefficient, different temperature distributions, and magnetic potential, in case of the converse flexomagnetic effect, on buckling and post-buckling loads in detail.