We establish the Gaussian Multi-Bubble Conjecture: least Gaussian-weighted perimeter way to decompose $\mathbb{R}^n$ into $q$ cells of prescribed (positive) measure when $2\le q\le n+1$, is use a ``simplicial cluster," obtained from Voronoi equidistant points. Moreover, we prove that simplicial clusters are unique isoperimetric minimizers (up null-sets). In particular, case $q=3$ confirms Doubl...

This article aims to highlight how Unconventional Food Plants – UFPs have constituted themselves as an interdisciplinary educational-investigative element in the courses offered at Federal Institute of Education, Science and Technology, Serrinha campus, enabling rescue, re-signification construction knowledge based on tripod teaching-research-extension. To do so, a survey was carried out instit...

The COVID crisis has forced policymakers to design new and comprehensive rescue programmes under huge time pressure. This task required innovative policy thinking the pursuit of kinds collaboration. handling pandemic, however, also provides valuable lessons on how address some society's other pressing challenges—above all climate change. ‘Tripod Missions’ provide a framework for turning pandemi...

Exact controllability for the wave equation on a metric graph consisting of cycle and two attached edges is proven. One boundary one internal control are used. At vertices, delta-prime conditions satisfied. As second example, we examine tripod controlled at root junction, while leaves fixed. These examples key to understanding properties in general graphs.

Pt-doping of an ultrathin Pd nanosheet results in the unprecedented structural rearrangement of a Pd nanosheet into a PdPt nanotent structure, in which a tripod stands on a triangular nanosheet. Further growth of Pt phase on this nanotent structure is dependent on the presence of surface-stabilizing CO molecules, leading to the formation of two distinct nanoscale phase segregated structures wit...

In the title compound C(33)H(30)S(6), the three pendant methyl-ene benzodithio-ate groups lie to one side of the central benzene ring in a cis-cis-cis 'tripod' arrangement. The dihedral angles between the central benzene ring and the three pendant rings are 72.54 (4), 89.68 (4) and 86.74 (4)°. In the crystal structure, one of the benzene rings is disordered over two orientations in a 0.559 (13)...

We implement double electromagnetically induced transparency (DEIT) in rubidium vapor using a tripod-shaped energy-level scheme consisting of hyperfine magnetic sublevels of the 5S1/2-->5P1/2 transition. We show experimentally that through the use of DEIT one can control the contrast of transparency windows as well as group velocities of the two signal fields. In particular, the group velocitie...

In recent years, many multivariable prediction models are proposed to deal with clinical uncertainty in both the diagnostic and prognostic settings.1 It is increasing the need to appraise the studies of the models to understand when and how to use.1 We can use PICO framework: Patients, Intervention, Comparator, and Outcome to deal with therapy studies.2 But there is no such formulation for pred...