Forms permitting composition

Norm Principles for Forms of Higher Degree Permitting Composition

Let F be a field of characteristic 0 or greater than d. Scharlau’s norm principle holds for separable field extensions K over F , for certain forms φ of degree d over F which permit composition. Introduction Let d ≥ 2 be an integer and let F be a field of characteristic 0 or > d. Let φ : V → F be a form of degree d on an F -vector space V of dimension n (i.e., after suitable identification, φ i...

Forms-based Service Composition

In many cases, it is not cost effective to automate business processes which affect a small number of people and/or change frequently. We present a novel approach for enabling domain experts to model and deploy such processes from their respective domain as Web service compositions. The approach is based on user-editable service naming, a graphical composition language where Web services are re...

Composition of Binary Quadratic Forms

Streptococcal L forms. II. Chemical composition.

Suspension of a streptococcal L form in hypotonic solutions is accompanied by loss of viability and structural disintegration (Panos and Barkulis, 1959). Consequently, a variable amount of water soluble material is lost in employing hypotonic solutions for washing procedures and results in only a residue portion remaining. Analyses of such residues in terms of the chemical constituents of the i...

Infinite-dimensional Quadratic Forms Admitting Composition

In [2] Albert proved that a finite-dimensional absolute-valued algebra over the reals is necessarily alternative (and hence the reals, complexes, quaternions, or Cayley numbers). In [3] he extended this from finite-dimensional to algebraic algebras. Recently, Wright [9] succeeded in removing the assumption that the algebra is algebraic. Wright proceeds by proving that the norm springs from an i...