A bilinear form of dilogarithm and motivic regulator map

Explicit regulator maps on polylogarithmic motivic complexes

On the Existence of an Invariant Non-degenerate Bilinear Form under a Linear Map

Let V be a vector space over a field F. The characteristic p of F is large if either p = 0 or p > dim V. When F is of large characteristic, the following questions, as well as their infinitesimal versions, are answered in this paper. Given an invertible linear map T : V → V, when does the vector space V admit a T -invariant non-degenerate symmetric (resp. skew-symmetric) biliner form? An elemen...

Surveying Musical Form through Melodic-Motivic Similarities

Introduction The original question behind this study was, whether we can deduce something about the compositional process order in tonal music by computer. To do that, our current model searches for similar melodic structures in classical polyphonic pieces. Through the similarities, we attempt to map the large-scale musical structures and to propose hypotheses about the compositional process or...

A coercive bilinear form for Maxwell's equations

When one wants to treat the time-harmonic Maxwell equations with variational methods, one has to face the problem that the natural bilinear form is not coercive on the whole Sobolev space H. On can, however, make it coercive by adding a certain bilinear form on the boundary of the domain. This addition causes a change in the natural boundary conditions. The additional bilinear form (see (2.7), ...

a comparison of linguistic and pragmatic knowledge: a case of iranian learners of english

در این تحقیق دانش زبانشناسی و کاربردشناسی زبان آموزان ایرانی در سطح بالای متوسط مقایسه شد. 50 دانش آموز با سابقه آموزشی مشابه از شش آموزشگاه زبان مختلف در دو آزمون دانش زبانشناسی و آزمون دانش گفتار شناسی زبان انگلیسی شرکت کردند که سوالات هر دو تست توسط محقق تهیه شده بود. همچنین در این تحقیق کارایی کتابهای آموزشی زبان در فراهم آوردن درون داد کافی برای زبان آموزان ایرانی به عنوان هدف جانبی تحقیق ...