• The Pure and Applied Mathematics
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• v.16 no.4
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• pp.359-367
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• 2009

The graph of the parallelogram law is well known, which gives rise to the characterization of an inner product space among normed linear spaces [6]. In this paper we will sketch graphs of its deformations according to our previous paper [7, Theorem 3.1 and 3.2]; each one of which characterizes an inner product space among normed linear spaces. Consequently, the graphs of some classical characterizations of an inner product space follow easily.

• Journal of Oral Medicine and Pain
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• v.8 no.1
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• pp.69-76
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• 1983

Background variables in 203 patients with TMJ pain dysfunction showing no bony change, ranging from 11 to 76 of age, were studied by use of the modified form of self-administered questionnaires deviced by Carlsson et al intended to give a review of the patient's history. All the patients were identified in the Dept. of Oral Diagnosis and Oral Diagnosis and Oral Medicine, Seoul National University Hospital, during the period from Feb. 1983 to Nov. 1983. The questions concerning general somatic and psychic health, educational and social condition were dealt with in this article. The obtained results were as follows : 1. The main symptoms reported by 203 patients were difficulties in opening the mouth wide(74.4%), clicking of TMJ(70.9%), chewing difficulties(69.0%), and pain on movement of mandible(57.6%) 2. The most fequently reported medical symptoms or histories were stomach disease (21.2%), insominia(15.3%), ENT disease(13.8%) and skin disease (12.8%) 3. Seventy-eight percent of the patients denied having had a nervous or psychic disorders while 4% were currently under treatment for such disorders. 4. Eleven percent of 203 patients with TMJ dysfunction thought their family situation was distressing(8.4%) or very troublesome(3.4%).