The solution to the elastodynamic equation in exterior of a polyhedral domain or screen exhibits singular behavior from corners and edges. detailed expansion singularities implies quasi-optimal estimates for piecewise polynomial approximations Dirichlet trace traction. results are applied hp graded versions time boundary element method weakly hypersingular integral equations. Numerical examples...

Fold functions are a general mechanism for computing over recursive data structures. First-order folds compute results bottom-up. With higher-order folds, computations that inherit attributes from above can also be expressed. In this paper, we explore folds over a form of recursive higher-order function, called hyperfunctions, and show that hyperfunctions allow fold computations to coroutine ac...

The scalar version of the pathway model of Mathai (2005) is shown to be associated with a large number of probability models used in physics. Different families of densities are listed here, which are all connected through the pathway parameter α, generating a distributional pathway. The idea is to switch from one functional form to another through this parameter and it is shown that one can pr...

ion X → X ′ 〈λx.X〉(t)→ 〈λx.X ′〉(t) +Lambda ¬X → ¬X ′ ¬〈λx.X〉(t)→ ¬〈λx.X ′〉(t) −Lambda Quantification For new variables x1, . . . , xn, ¬φ(x)→ ¬φ1(x) . . . ¬φ(x)→ ¬φn(x) ¬(∀x)φ(x)→ ¬[φ1(x1) ∧ . . . ∧ φn(xn)] −Quant Binding For x not free in X, X → X ′ X → 〈λx.X ′〉(t) +Bind ¬X → ¬X ′ ¬X → ¬〈λx.X ′〉(t) −Bind Definition 5.2 We say Y is a modal Herbrand expansion of X provided there is a formula X∗ ...

The slow roll approximation is studied for cosmological models in Hyperextended Scalar-Tensor Theories of Gravity. A procedure to obtain slow roll solutions in non-minimally coupled gravity is outlined and some examples are provided. An integral condition over the functional form of the non-minimal coupling is imposed in order to obtain intermediate in ationary behavior. e-mail: dtorres@venus. ...

Unfortunately, the incorrect version of [1, Theorem 4.3] was published. The correct version of [1, Theorem 4.3] is given in this paper. By employing the generalized higher-order contingent derivatives of set-valued maps, Wang et al. [1] established a sufficient optimality condition of weakly efficient solutions for (SV P): (SV P) min F(x), s.t. G(x) (−D) = ∅, x ∈ E. Theorem 1 (see [1, Theorem 4...

According to David Rosenthal, a mental state is conscious just in case its subject suitably represents herself as being in that state, where this entails that the mental state " is accompanied by a noninferential, nondispositional, assertoric thought to the effect that one is in that very state " (2002a, p. 410; see also Rosenthal, 1997, p. 742). This assertoric thought, since it is about anoth...