Effective normality criteria for algebras of linear type

Effective Normality Criteria for Algebras of Linear Type

The algebras studied here are subalgebras of rings of polynomials generated by 1–forms (so–called Rees algebras), with coefficients in a Noetherian ring. Given a normal domain R and a torsionfree module E with a free resolution, · · · −→ F2 ψ −→ F1 φ −→ F0 −→ E → 0, we study the role of the matrices of syzygies in the normality of the Rees algebra of E. When the Rees algebra R(E) and the symmet...

Normality Criteria of Lahiri’s Type and Their Applications

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...

RV/TLC% ratio: alternative criteria of normality.

Although the European Respiratory Society (ERS) proposes using percentiles or standardized residuals for reporting results of lung volume measurements [1], this approach has not been widely accepted, and percentages are still being used, mainly because calculations and interpretation are easier to perform. Our group has reported that both for spirometry [2] and total lung capacity (TLC) measure...

Some Normality Criteria of Meromorphic Functions

Let f be a nonconstant meromorphic function in the complex plane C. We shall use the standard notations in Nevanlinna’s value distribution theory of meromorphic functions such as T r, f , N r, f , and m r, f see, e.g., 1, 2 . The notation S r, f is defined to be any quantity satisfying S r, f o T r, f as r → ∞ possibly outside a set of E of finite linear measure. Let F be a family of meromorphi...