Vertices of Mather’s beta function, II

6 Vertices of Mather ’ S Beta Function , Ii

If the β-function of a time-periodic Lagrangian on a manifold M has a vertex at a k-irrational homology class h, then 2k ≤ dimM . Furthermore if dimM = 2 h is rational.

‏‎interpersonal function of language in subtitling

‏‎translation as a comunicative process is always said to be associated with various aspects of meaning loss or gain. subtitling as a mode of translating, due to special discoursal and textual conditions imposed upon it, is believed to be an obvious case of this loss or gain. presenting the spoken sound track of a film in writing and synchronizing the perception of this text by the viewers with...

Mathers Museum Showcases Worldwide Music Connections

Worldwide Music Connections Among the major events held in April to celebrate the 15th anniversaly of Indiana University's William Hammond Mathers Museum of World Cultures was the opening of the exhibit, "World Musie: Themes and Variations." Drawn from the museum's extensive ethnomusicological collections, the exhibit is cosponsored by IU Bloomington's Department of Anthropology, the Center for...

On a $k$-extension of the Nielsen's $beta$-Function

Motivated by the $k$-digamma function, we introduce a $k$-extension of the Nielsen's $beta$-function, and further study some properties and inequalities of the new function.

Two Loop QCD Vertices and Three Loop MOM beta functions