Abstract A novel formulation of the weak form quadrature element method, referred to as locally adaptive is proposed develop elements for nonlinear graded strain gradient Timoshenko and Euler–Bernoulli nanobeams. The equations motion are obtained based on Hamilton principle while accounting position physical neutral axis. use Gauss points ensure full integration variational statement. develops ...

Near-equiatomic NiTi alloys are known to exhibit a thermoelastic B2–B19? martensitic transformation, which gives rise their unique properties of the shape memory effect and pseudoelastic effect. This transformation can be induced by application stress. The stress-induced nucleates locally randomly within body material, making initiation propagation unpredictable. In addition, occurs often in Lü...

Given a locally finite graded set A and a commutative, associative operation on A that adds degrees, we construct a commutative multiplication ∗ on the set of noncommutative polynomials in A which we call a quasi-shuffle product; it can be viewed as a generalization of the shuffle product III . We extend this commutative algebra structure to a Hopf algebra (A, ∗,1); in the case where A is the s...

A model is proposed for an amplification step in chemotactically sensitive cells or growth cones that accounts for their extraordinary directional sensitivity. It is assumed that cells have an intrinsic pattern forming system that generates the signals for extension of filopods and lamellipods. An external signal such as a graded cue is assumed to impose some directional preference onto the pat...

The purpose of this note is to give a “coordinate free” construction and prove the uniqueness of the vertex algebroid which gives rise to the chiral de Rham complex of [GMS]. In order to do that, we adapt the strategy of [BD] to the setting of vertex agebroids. To this end we show that the stack EVAX of exact vertex algebroids on X is a torsor under the stack in Picard groupoids ECAX of exact C...

This paper is the first in a series of papers developing a functionalanalytic theory of vertex (operator) algebras and their representations. For an arbitrary Z-graded finitely-generated vertex algebra (V, Y,1) satisfying the standard grading-restriction axioms, a locally convex topological completion H of V is constructed. By the geometric interpretation of vertex (operator) algebras, there is...

the notion of generalized locally bounded $i$-topological vectorspaces is introduced. some of their important properties arestudied. the relationship between this kind of spaces and thelocally bounded $i$-topological vector spaces introduced by wu andfang [boundedness and locally bounded fuzzy topological vectorspaces, fuzzy math. 5 (4) (1985) 87$-$94] is discussed. moreover, wealso use the fam...

We consider the problem of synthesizing correct-by-construction globally asynchronous, locally synchronous (GALS) implementations from modular synchronous specifications. This involves the synthesis of asynchronous wrappers that drive the synchronous clocks of the modules and perform input reading in such a fashion as to preserve, in a certain sense, the global properties of the system. Our app...