• 대한수학회지
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• 제39권4호
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• pp.525-542
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• 2002

In this article, we prove a certain local-global principle for representation of binary forms by an infinite family of quinary positive integral quadratic forms.

• 대한수학회보
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• 제49권3호
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• pp.529-572
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• 2012

A basis of a subspace of $S_4({\Gamma}_0(79))$ is given and the formulas for the number of representations of positive integers by some direct sums of the quadratic forms $x^2_1+x_1x_2+20x^2_2$, $4x^2_1{\pm}x_1x_2+5x^2_2$, $2x^2_1{\pm}x_1x_2+10x^2_2$ are determined.

• East Asian mathematical journal
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• 제26권5호
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• pp.649-654
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• 2010

A positive definite Hermitian lattice is said to be 2-universal if it represents all positive definite binary Hermitian lattices. We find some finiteness theorems which ensure 2-universality of Hermitian lattices over several imaginary quadratic number fields.

• 대한수학회보
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• 제20권1호
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• pp.9-13
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• 1983

M$_{n}$(F) denotes the set of all n*n matrices over F={0, 1}. For a, b.mem.F, define a+b=max{a, b} and ab=min{a, b}. Under these operations a+b and ab, M$_{n}$(F) forms a multiplicative semigroup (see [1], [4]) and we call it the semigroup of the n*n boolean matrices over F={0, 1}. Since the semigroup M$_{n}$(F) is the matrix representation of the semigroup B$_{n}$ of the binary relations on the set X with n elements, we may identify M$_{n}$(F) with B$_{n}$ for finding all D-classes.l D-classes.

• 영미문화
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• 제17권2호
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• pp.29-61
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• 2017

Said's Orientalism criticized the European representations on the Middle-East by theorizing orientalism as a discourse. In this text, he explored and criticized the colonial forms of knowledge and language that distorted the image of the colonized. The justification of the discourse of orientalism is derived from the binary system that is originated from Plato which Derrida rejects on the ground that it always privileges one term over the other, that is, colonizer over colonized. Derrida names for this traditional heritage of Western binary system logocentrism which regards logos(the Greek term for speech or reason) as the central principle of language and philosophy, whereas mythos derives its meaning from the logos on the basis of binary oppositions. Thus according to logocentrism, the colonized is merely the defined who can have its meaning from the definers, colonizers. In this paper, utilizing Derrida's a (non)concept called supplement which means both to add on as a surplus and to make up something missing as a mere extra, I propose another alternative interpretation towards the critique of colonial representation by raising internal contradictions in the Platonic dichotomy between logos and mythos embedded in western colonialism discourse, orientalism. I attempt to show that logos(colonizer) and mythos(colonized) is inseparable in itself due to the fact that they exist as supplementary. For this purpose, I demonstrate how colonial binary system constituted and was constituted in terms of language. Through this paper I reinterpret the colonial rationality of privileging 'logos' over 'mythos' by substituting the colonial binary system with the supplement.