Learning how to estimate a connectional brain template (CBT) from population of multigraphs, where each graph (e.g., functional) quantifies particular relationship between pairs regions interest (ROIs), allows pin down the unique connectivity patterns shared across individuals. Specifically, CBT is viewed as an integral representation set highly heterogeneous graphs and ideally meeting centered...

The Historical R-tree is a spatio-temporal access method aimed at the retrieval of window queries in the past. The concept behind the method is to keep an R-tree for each timestamp in history, but allow consecutive trees to share branches when the underlying objects do not change. New branches are only created to accommodate updates from the previous timestamp. Although existing implementations...

R-trees and related structures, like R-trees and R-trees, have been used to answer queries involving topological information about objects represented by their minimum bounding rectangles (MBRs). This paper describes how the R-tree method can be used for the storage and retrieval of direction relations. Direction relations deal with order in space, as for instance, left, above, north, southeast...

We begin with establishing properties of the unit revenue function, g(·). Lemma 6. 1. g(·) is a non-negative, continuous, non-decreasing, and concave function on R+, with g(0) = 0. 2. yg(1/y) is non-decreasing and concave on R++. 3. g(y)/y is non-increasing on R+. 4. If u, v > 0, then g(u) g(v) ≥ min( u v , 1), 1 u ∫ u 0 g(v)dv ≤ g(u/2). Proof. 1. That g(·) is non-negative, continuous and non-d...

The R-Tree and variant indexes have been used for multidimensional indexing since 1984 and applied to temporal data since 1994. Despite this, there are few functional implementations of the index that can be applied directly to the temporal data. This paper explores the use of the index for temporal subsequence searches and identifies two implications that must be considered so the index can be...

We present synthesis and $^{75}$As-nuclear quadrupole resonance (NQR) measurements for the noncentrosymmetric superconductor CaPtAs with a superconducting transition temperature $T_c$ of $\sim 1.5$ K. discovered two different forms during synthesis; one is high-temperature tetragonal form that was previously reported, other low-temperature consistent orthorhombic structure CaPtP. According to $...

Using $^{31}$P nuclear magnetic resonance (NMR) we investigate the recently discovered presaturation phase in highly frustrated two-dimensional spin system SrZnVO(PO$_4$)$_2$ [F. Landolt et al., Phys. Rev. B 104, 224435 (2021)]. Our data provide two pieces of evidence against presumed spin-nematic character this phase: i) NMR spectra reveal that it hosts a dipolar order and ii) 1/$T_1$ relaxati...

We derive a general expression for electric and magnetic part of the near-field energy density $N$ dipoles temperatures $T_1, \ldots, T_N$ immersed in background field having different temperature $T_b$. In contrast to former expressions this inclusion allows determining heated or cooled isotropic dipolar objects within an arbitrary environment which is thermalized at temperature. Furthermore, ...

Consider a finite collection $\{T_1, \ldots, T_J\}$ of differential operators with constant coefficients on $\mathbb{T}^n$ ($n\geq 2$) and the space smooth functions generated by this collection, namely, $f$ such that $T_j f \in C(\mathbb{T}^n)$, $1\leq j\leq J$. We prove if there are at least two linearly independent among their senior parts (relative to some mixed pattern homogeneity), then d...