G. Rond has proved a Diophantine type inequality for the field of quotients of the convergent or formal power series ring in multivariables. We generalize his theorem to the field of the quotients of an excellent Henselian local domain whose reduced order function is expressed as the minimum of a finite set of good valuations in Rees’s sense. 2000 Mathematics Subject Classification Number: 13H1...

Kimura's disease is a chronic inflammatory disorder involving the skin, subcutaneous tissues and lymph nodes, predominantly in the head and neck region. Though surgery, intralesional or systemic steroids or radiation therapy have been the mainstay of treatment recurrence is a common problem. On the basis of occasional case report of Kimura's disease responding to cyclosporine, we attempted oral...

We present the rational synthesis of nanoporous CuS for the first time by chemical dealloying method. The morphologies of the CuS catalysts are controlled by the composition of the original amorphous alloys. Nanoporous Cu2S is firstly formed during the chemical dealloying process, and then the Cu2S transforms into CuS. The nanoporous CuS exhibits excellent photocatalytic activity for the degrad...

We introduce a new construction of error-correcting codes from algebraic curves over finite fields. Modular curves of genus g → ∞ over a field of size q 0 yield nonlinear codes more efficient than the linear Goppa codes obtained from the same curves. These new codes now have the highest asymptotic transmission rates known for certain ranges of alphabet size and error rate. Both the theory and p...