• Journal for History of Mathematics
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• v.23 no.2
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• pp.101-121
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• 2010

This article includes an introduction, a history of Pick's theorem on lattice polyhedron and its proof, Reeve's theorem on 3-dimensional lattice polyhedrons extended from the Pick's theorem and Ehrhart polynomial generalized as an n-dimensional lattice polyhedron, and then shows the relationship between the volume of 3-dimensional polyhedron and the number of its lattice points by means of Reeve's theorem. It is aimed to apply the relationship to the visualization of sums in sequences.

• Animal Systematics, Evolution and Diversity
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• no.nspc2
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• pp.135-198
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• 1988

The present study on the classified and distribution of Korean marine archeogastropods is mainly based on the materials which were collected by the authors from July, 1979 to August, 1988 to 60 localities in the south Korean continental shelf. In addition to the 52 species and 8 subspecies of archeogastropods that have been reported from Korean waters, 9 species are found to be new to the fauna of Korea ; Diodora sieboldii (Reeve), Montfortula pulchra A. Adams, Colisella langfordi Habe, Notoacmea gloriosa Habe, Mesoclanculus ater (Pilsbry) , Cantharidus hirasei (Pilsbry), Guildfordia triumphans (Pilsbry), Tristichotrochus aculeatus (Sowerby), Homalopoma sangarense(Schrenck). The Korean marine archeogatropod fauna comprises 4 suborders, 5 superfamilies 10 families , 61 species and 8 subspecies. The authors listed the scienfic name of the korean archeogastropods in correct and described the unrcorded species from korea with keys to species and families.