Let $X/\mathbb {F}_{q}$ be a smooth, geometrically connected, quasi-projective scheme. $\mathcal {E}$ semi-simple overconvergent $F$ -isocrystal on $X$ . Suppose that irreducible summands {E}_i$ of have rank 2, determinant $\bar {\mathbb {Q}}_p(-1)$ , and infinite monodromy at $\infty$ further for each closed point $x$ the characteristic polynomial is in $\mathbb {Q}[t]\subset \mathbb {Q}_p[t]$...

In social choice theory, (Kemeny) rank aggregation is a well-studied problem where the goal to combine rankings from multiple voters into single ranking on same set of items. Since can reveal preferences (which voter might like keep private), it important aggregate in such way preserve privacy. this work, we present differentially private algorithms for pure and approximate settings along with ...

objectives to assess the diagnostic accuracy of pet-mri and mri alone for the detection of local recurrences of soft tissue sarcomas (sts) after initial surgical resection of the primary tumors. methods a total of 41 patients with a clinically suspected tumor relapse of sts underwent an 18f-fdg- pet-mri examination for assessment of local recurrence. two experienced physicians interpreted the m...

Chromatic Selmer groups are modified with local information for supersingular primes p. We sketch their role in establishing the p-primary part of Birch–Swinnerton-Dyer formula Sections 2–5, and then study growth Mordell–Weil rank along ℤ p 2 -extension a quadratic imaginary number field which splits Section 6.

We determine the p-rank of the point-line incidence matrix of the generalized quadrangle of type Sp(4, p) where p is prime.

We consider semiparametric location-scatter models for which the p-variate observation is obtained as X = ΛZ + µ, where µ is a p-vector, Λ is a full-rank p × p matrix, and the (unobserved) random p-vector Z has marginals that are centered and mutually independent but are otherwise unspecified. As in blind source separation and independent component analysis (ICA), the parameter of interest thro...