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Let T denote a closed oriented surface and let there be given a basis α1,..., αn, β1,..., βn of H1 (T; ℤ) with αi · αj = βi · βj = 0, αi · βj = δij as intersection numbers. Then one can construct an ordinary imbedding of T in 3-dimensional euklidian space, such that the given basis is represented by the meridians and parallels of latitude of that imbedding. If there is a given imbedding of T into an euclidian space of dimension n≥5, then one has a factorisation through an ordinary imbedding into 3-dimensional space, such that the given basis is represented by the meridians and parallels of latitude of that ordinary imbedding. If in the case n=4 the imbedding of T can be factorised through 3-dimensional space one has a further invariant. Besides the skewsymmetric intersection form there is a quadratic form which must take its normal form on the given basis in order to represent this basis by meridians and parallels of latitude as above.

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Excerpt In the more recent classifications of the psychoneuroses there is a marked trend towards simplification. An attempt is made to class the psychoneuroses as prepsychotic anxiety states. While...

With the inception of morphine by Serturner in 1803, man was given a new and more efficient means of relief from pain. 1 Little did Serturner realize that but a few years later the medical profession would be faced with the problem of addiction to this drug and searching for a successful means of relief when it was taken or given inadvertently. The problem becomes even greater when it is realized that the profession is not dealing with mentally normal men and women in addiction, with the exception of the few who have taken the drug over long periods of time for some painful and possibly incurable malady. Certainly there is the possibility that any person using a narcotic drug over a long period of time is in danger of becoming addicted to it, but it is very doubtful whether a normal person ever actually becomes a drug addict. One