DOI: 10.1002/smll.201400037 In nature, refl ecting superposition compound eyes (RSCEs) found in shrimps, lobsters and some other decapods are extraordinary imaging systems with numerous optical features such as minimum chromatic aberration, wide-angle fi eld of view (FOV), high sensitivity to light and superb acuity to motion. Here, we present lifesized, large-FOV, wide-spectrum artifi cial RSC...

This dissertation documents an inquiry into the geometric structure of the Spaces used to represent a 2-Dimensional Quantum State Space as it relates to Quantum Computation. In particular we investigate the possible applications of Professor NJ Wildberger’s Universal Hyperbolic Geometry and discover a genuinely intuitive method for constructing and hence visualising an otherwise abstract algebr...

We introduce a new concept of general $G$-$eta$-monotone operator generalizing the general $(H,eta)$-monotone operator cite{arvar2, arvar1}, general $H-$ monotone operator cite{xiahuang} in Banach spaces, and also generalizing $G$-$eta$-monotone operator cite{zhang}, $(A, eta)$-monotone operator cite{verma2}, $A$-monotone operator cite{verma0}, $(H, eta)$-monotone operator cite{fanghuang}...

Saturation-based calculi such as superposition can be successfully instantiated to decision procedures for many decidable fragments of first-order logic. In case of termination without generating an empty clause, a saturated clause set implicitly represents a minimal model for all clauses, based on the underlying term ordering of the superposition calculus. In general, it is not decidable wheth...

On the base of boundary-value, spectral and initial-boundary value problems studied earlier for case single domain, we consider corresponding generated by a sesquilinear form two domains. Arising operator pencils with coefficients acting in Hilbert space depending on parameters are detail. In perturbed unperturbed cases, situations where one is other fixed. this paper, use superposition princip...

Abstract We prove absolute continuity of the law solution, evaluated at fixed points in time and space, to a parabolic dissipative stochastic PDE on L 2 ( G ), where is an open bounded domain $\mathbb {R}^{d}$ ℝ d with smooth boundary. The equatio...

We present an associative-commutative paramodulation calculus that generalizes the associativecommutative completion procedure to first-order clauses. The calculus is parametrized by a selection function (on negative literals) and a well-founded ordering on terms. It is compatible with an abstract notion of redundancy that covers such simplification techniques as tautology deletion, subsumption...

Networks are often used to understand a whole system by modeling the interactions among its pieces. Examples include biomolecules in a cell interacting to provide some primary function, or species in an environment forming a stable community. However, these interactions are often unknown; instead, the pieces' dynamic states are known, and network structure must be inferred. Because observed fun...