A new four elements compact antenna array is presented and discussed to achieve enhanced phase resolution without sacrificing the array output power. This structure inspired by the Ormia Ochracea’s coupled ears. The analogy between this insect acute directional hearing capabilities and the electrically compact antenna array is used to enhance the array sensitivity to direction of arrival estima...

This paper explores several topics related to Woodin’s HOD conjecture. We improve the large cardinal hypothesis of dichotomy theorem from an extendible a strongly compact cardinal. show that assuming there is and holds, no elementary embedding HOD, settling question Woodin. equivalent uniqueness property embeddings levels cumulative hierarchy. prove holds if only every regular above first carri...

Given a family of n convex compact sets in the plane, one can always choose n of them which are either pairwise disjoint or pairwise intersecting. On the other hand, there exists a family of n segments in the plane such that the maximum size of a subfamily with pairwise disjoint or pairwise intersecting elements in n*"* ^ n-.

We study the general problem of behaviour continuum function in presence non-supercompact strongly compact cardinals. begin by showing that it is possible to force violations GCH at an arbitrary cardinal using only strong compactness as our initial assumption. This result due third author. then investigate realising Easton functions and above least measurable limit supercompact cardinals starti...

‎In this paper‎, ‎we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$‎. ‎We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator‎. ‎Also‎, ‎we prove that every compact normal operator is a strongly orthogo...

We prove that the first-order theory of the Medvedev degrees, the first-order theory of the Muchnik degrees, and the third-order theory of true arithmetic are pairwise recursively isomorphic (obtained independently by Lewis, Nies, and Sorbi [7]). We then restrict our attention to the degrees of closed sets and prove that the following theories are pairwise recursively isomorphic: the first-orde...

This paper presents a detailed performance analysis for the kernel-based regularized pairwise learning model associated with strongly convex loss. The robustness is analyzed by applying an improved method. results show that has better qualitatively according to probability measure. Some new comparison inequalities are provided, which convergence rates derived. In pa...