Abstract We introduce a notion of topologically flat locally convex module, which extends the Banach module and is well adapted to nonmetrizable setting (and especially DF-modules). Using this notion, we amenable algebras show that complete barrelled DF-algebra if only it Johnson amenable, extending thereby Helemskii–Sheinberg’s criterion for algebras. As an application, completely characterize...

As the sizes of general and special purpose processors increase rapidly, generating high quality manufacturing tests for them is becoming a serious problem in industry. This paper describes a novel method for hierarchical functional test generation for processors which targets one embedded module at a time and uses commercial ATPG tools to derive tests for faults within the module. Applying the...

It is proven that the weak dimension of each FP-injective module over a chain ring which is either Archimedean or not semicoherent is less or equal to 2. This implies that the projective dimension of any countably generated FP-injective module over an Archimedean chain ring is less or equal to 3. By [7, Theorem 1], for any module G over a commutative arithmetical ring R the weak dimension of G ...

introduction: flat foot is one of the most common disorders which not only influences the performance of the foot, but also affects the alignments of the ankle, knee and hip joints. the performance of flat arched differs from that of normal subjects during walking. however, there is not enough information in the literature regarding the difference between standing stability. moreover, the influ...

A learning system composed of linear control modules, reinforcement learning modules and selection modules (a hybrid reinforcement learning system) is proposed for the fast learning of real-world control problems. The selection modules choose one appropriate control module dependent on the state. This hybrid learning system was applied to the control of a stilt-type biped robot. It learned the ...

Let f : X → Y be a morphism of smooth varieties. Then we already know that the (higher) pull-back of a quasicoherent sheaf is quasicoherent. Since a pull-back as a D-module and as an O-module are the same (with some shift,) it is still true for a D-module case. (One might doubt it since in each case the category on which Lif∗ is defined is different, but we can compose a forgetful functor D(Mod...

On a symplectic manifold M , the quantum product defines a complex, one parameter family of flat connections called the A-model or Dubrovin connections. Let ~ denote the parameter. Associated to them is the quantum D module D/I over the Heisenberg algebra of first order differential operators on a complex torus. An element of I gives a relation in the quantum cohomology of M by taking the limit...