Abstract We first provide a detailed proof of Kato’s classification theorem log p -divisible groups over Noetherian Henselian local ring. Exploring idea further, we then define the notion standard extension classical finite étale group scheme (resp. group) by flat in category Kummer schemes groups), with respect to given chart on base. These results are used prove that formally smooth. study $T...

Though commonly used, the unigram is widely known as being a poor model of term frequency; it assumes that term occurrences are independent, whereas many words, especially topic-oriented ones, tend to occur in bursts. Herein, we propose a model of term frequency that treats words independently, but allows for much higher variance in frequency values than does the unigram. Although it has valuab...