Remarks on Plateau's and Douglas' Problem.

نویسنده

R Courant

چکیده

3 Penrose (7) has independently proposed a similar scheme. The present data have been tabulated in the "fourfold table" form employed by Penrose, but the treatment of data has varied from his, and from our earlier treatment, in a number of respects. 4 The teeth most frequently reported as missing were the permanent upper lateral incisors, though lower incisors and upper or lower pre-molars were often missing either singly or in various combinations. Affected offspring in individual families often varied among themselves in the location and degree of involvement. Only one individual was reported as having missing third molars (this being in conjunction with other tooth deficiencies). We have reason to believe that missing third molars often pass unnoticed. 5 To guard against any possible bias, family records of hair color, with names and notations on teeth detached, were submitted to Jean C. Challman, whose classification, corroborated by the writer, was used in the final tabulation. 6 The data of the first subgroup in table 2 were further subdivided to demonstrate the common genetic derivation of missing third molars and other missing teeth. The number of cases is not large enough to establish the proportions with great accuracy, but pairs in which both members are affected, regardless of which teeth, appear to be definitely more similar in hair color than pairs having one affected and one normal member. For this table chi-square = 8.8014, N = 4, P is between 0.10 and 0.05.

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