The aim of this work is the parallel solution of large two and three dimensional CFD problems using unstructured grids. A general framework has been formulated to enable both parallel and sequential execution of a single source FORTRAN code. This is achieved via the straightforward insertion of OPlus (Oxford Parallel Library for Unstructured Solvers) sub-routine calls. Hence, the user's code ca...

This paper gives the first separation between the power of formulas and circuits of equal depth in the AC[⊕] basis (unbounded fan-in AND, OR, NOT and MOD2 gates). We show, for all d(n) ≤ O( logn log logn ), that there exist polynomial-size depth-d circuits that are not equivalent to depth-d formulas of size n (moreover, this is optimal in that n cannot be improved to n). This result is obtained...

Abstract We report the confirmation of three exoplanets transiting TOI-4010 (TIC-352682207), a metal-rich K dwarf observed by Transiting Exoplanet Survey Satellite in Sectors 24, 25, 52, and 58. confirm these planets with High Accuracy Radial velocity Planet Searcher for Northern Hemisphere radial observations measure their masses 8−12% precision. b is sub-Neptune ( P = 1.3 days, <?CDATA ${R}_{...

in this paper we study the module contractibility ofbanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. also weinvestigate module contractibility of banach algebras with theconcept of the module diagonal.

For every $n$-dimensional smooth projective variety $X$ over ℂ, the motive $M(X)$ is expected to admit a Chow-Künneth decomposition $M_0(X)\oplus \cdots \oplus M_{2n}(X)$. Inspired by slice filtration of we propose definitions $M_2(X)$ and $M_{2n-2}(X)$. In our construction use intermediate Jacobians.

We fully characterise the solvability of Rado equations inside linear combinations $a_{1}\U\oplus\dots\oplus a_{n}\U$ idempotent ultrafilters $\U\in\beta\Z$ by exploiting known relations between such and strings integers. This generalises a partial characterization previously obtained Mauro Di Nasso.

‎In this paper‎, ‎some algebraic and geometrical properties of the rank$-k$ numerical hulls of normal matrices are investigated‎. ‎A characterization of normal matrices whose rank$-1$ numerical hulls are equal to their numerical range is given‎. ‎Moreover‎, ‎using the extreme points of the numerical range‎, ‎the higher rank numerical hulls of matrices of the form $A_1 oplus i A_2$‎, ‎where $A_1...