Verifying reinforcement learning up to infinity by Bacci, E, Giacobbe, M, Parker, D

“…We develop a novel abstract interpretation method which, by constructing adaptable template-based polyhedra using MILP and interval arithmetic, yields sound - safe and invariant - overapproximations of the reach set. …”

THE CRYSTAL AND MAGNETIC-STRUCTURES OF SR2LAFE3O8 by Battle, P, Gibb, T, Lightfoot, P

“…The crystal structure consists of layers of octahedral (O) and tetrahedral (T) iron-oxygen polyhedra arranged in the stacking sequence ... OOTOOT ... perpendicular to theŷaxis of the unit cell. …”

Synthesis and characterisation of dimeric eight-coordinate lanthanide(III) complexes of a macrocyclic tribenzylphosphinate ligand. by Senanayake, K, Thompson, A, Howard, J, Botta, M, Parker, D

“…In solution and in the crystal, the complexes have eight-coordinate metal centres with bridging phosphinate groups linking the two twisted square antiprismatic coordination polyhedra. A single stereoisomer crystallises from solution with an RRR and SSS configuration at the P centres in each sub-unit. …”

Na-Alternative to Tinsleyite Obtained under Hydrothermal Conditions: Crystal Structure and Comparative Crystal Chemistry by Olga Yakubovich, Galina Kiriukhina, Polina Verchenko, Sergey Simonov, Anatoly Volkov, Olga Dimitrova

“…Centrosymmetric tetramers built from AlO₅ polyhedra sharing edges and vertices, represent the distinguished feature of the compound. …”
Get full text

Optimal orientations of discrete global grids and the Poles of Inaccessibility by Richard Barnes

“…Previously, the orientations of these polyhedra have been chosen to satisfy only simple criteria such as equatorial symmetry or minimizing the number of vertices intersecting landmasses. …”
Get full text

Polyhedral Effects on the Mass Activity of Platinum Nanoclusters by Forrest H. Kaatz, Adhemar Bultheel

“…We investigate the effects of size and shape of some platinum polyhedra on the oxygen reduction reaction (ORR) and the effect on the mass activity. …”
Get full text

High-Pressure Raman and Infrared Spectroscopic Study of Prehnite by Nancy L. Ross, Theresa A. Detrie, Zhenxian Liu

“…Analyses of the spectra indicate that prehnite undergoes a reversible structural change between 6 and 8 GPa that is most likely associated with a subtle alteration in the orientation and/or deformation of the polyhedra comprising the framework of the structure. …”
Get full text

Stereographic Visualization of 5-Dimensional Regular Polytopes by Xingchang Wang, Tao Yu, Kwokwai Chung, Krzysztof Gdawiec, Peichang Ouyang

“…Regular polytopes (RPs) are an extension of 2D (two-dimensional) regular polygons and 3D regular polyhedra in n-dimensional ( n ≥ 4 ) space. …”
Get full text

In situ potassium and hydrogen ion exchange into a cubic zirconium silicate microporous material. by Jason Lively, Aaron J Celestian

“…Enhancement of ion exchange was observed when the CZS material was in a partial protonated state (≈3:1 Na:H), causing an expansion of the unit-cell volume, enlargement of the 7 member-ring window, and distortion of framework polyhedra, which allowed increased accessibility to the cage structures and resulted in rapid irreversible potassium ion exchange.…”
Get full text

The first space-filling polyhedrons of polymer cubic cells originated from Weaire-Phelan structure created by polymerization induced phase separation by Naofumi Naga, Masumi Jinno, Yuting Wang, Tamaki Nakano

“…Abstract The Weaire–Phelan structure is a three-dimensional structure composed of two different polyhedra having the same volume, i.e., pyritohedron and truncated hexagonal trapezohedron. …”
Get full text

Rietveld Analysis of Elpidite Framework Flexibility Using in Situ Powder XRD Data of Thermally Treated Samples by Vladislav V. Kostov-Kytin, Thomas N. Kerestedjian

“…The framework flexibility observed as a response to the water loss and subsequent thermal expansion was evaluated in terms of intentionally introduced set of geometric parameters characterizing the spatial orientation of symmetrically related zirconium octahedra in the structure, the coordination polyhedra volumes, their distortion indices, and bond angle variances.…”
Get full text

Synthesis, Characterization, and Luminescent Properties of Polymer Complexes of Nd(III) with β-Dicarbonyl Ligands by Oleksandra Berezhnytska, Irina Savchenko, Nadiya Ivakha, Olena Trunova, Nataliya Rusakova, Sergiy Smola, Oleksandr Rogovtsov

“…As a result, the type of coordination was determined and the structure of coordination polyhedra was assumed. The luminescence spectra of obtained metallocomplexes and polymers in solutions and solid state are investigated and analyzed.…”
Get full text

Incremental and encoding formulations for Mixed Integer Programming by Yıldız, Sercan, Vielma Centeno, Juan Pablo

“…Through this framework, we generalize the incremental formulation for piecewise linear functions to any finite union of polyhedra with identical recession cones.…”
Get full text
Get full text

Transitive Packing: A Unifying Concept in Combinatorial Optimization by Schulz, Andreas S., Müller, Rudolf

“…This paper attempts to give a better understanding of the facial structure of previously separately investigated polyhedra. It introduces the notion of transitive packing and the transitive packing polytope. …”
Get full text

Characterization Of Abaculovirusof Spodoptera Litura (Lepidoptera: Notuidae) Isolated Fromyogyakarta by Perpustakaan UGM, i-lib

“…Phase contrast light microscopy observation from infected larvae, showed that the fat body, hemocyte cells, and cells surrounding the trachea or tracheolus were the most tissue invaded by polyhedra. Transmission electron microscopy analysis of the occlusion body purified from diseased larva showed that the baculovirus envelope containing multiple nucleocapsid. …”

MORPHOLOGY AND CHEMICAL STRUCTURE OF ALLOPHANE by Perpustakaan UGM, i-lib

“…High resolution electron micrographs have shown that the allophane consists of hollow spheres or polyhedra 3.5-5.0 nm in diameter with a wall thickness estimated to be about 0.7 nm. …”

Three-dimensional preservation of a non-biomineralized arthropod in concretions in Silurian volcaniclastic rocks from Herefordshire, England

“…Specimens are preserved in calcite that co-precipitated with framboids and polyhedra of pyrite. The texture of the calcite indicates that it is a void infill. …”

SYNTHESIS AND STRUCTURE OF CA6MNN5 - A NEW NITRIDOMANGANATE WITH PLANAR [MNN3](6-)ANIONS by Gregory, D, Barker, M, Edwards, P, Siddons, D

“…Manganese(III) forms trigonal planar [MnN3]6- units analogous to carbonate anions, which lie in planes parallel to the c axis, sandwiched between layers of Ca-N polyhedra. Calcium is coordinated to five nitrogens in a distorted square pyramidal geometry. …”

Robust tube MPC using gain-scheduled policies for a class of LPV systems by Fleming, J, Hawari, Q, Cannon, M

“…State and input constraints are handled efficiently by bounding predicted states in a sequence of polyhedra (i.e. tube MPC), that are parameterised by variables in the online optimisation. …”

An explicit estimation of exponential sum associated with a quintic form by Mohd Atan, Kamel Ariffin

“…An explicit estimate of the cardinality of the set of solutions common to the partial derivative polynomials fx and fy associated with f(x, y) will be first determined by examining the indicator diagrams associated with the Newton polyhedra of both polynomials. By applying results of our earlier works we will derive an explicit estimation of the upper bound of the sum in terms of the p-adic sizes of some invariants associated with the polynomial.…”
Get full text