Isotropical Linear Spaces and Valuated Delta-Matroids by Felipe Rincón

“…We characterize tropical Wick vectors in terms of subdivisions of Delta-matroid polytopes, and we examine to what extent the Wick relations form a tropical basis. …”
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Pyrogallate‐Based Metal‐Organic Framework with a Two‐Dimensional Secondary Building Unit by Kampouri, Stavroula, Zhang, Mingxuan, Chen, Tianyang, Oppenheim, Julius J, Brown, Alexandra, Payne, Michael, Andrews, Justin L, Sun, Junliang, Dincă, Mircea

“…The SBU comprises mixed-valent Fe2+ and Fe3+ metal ions bridged by oxygen atoms pertaining to the polytopic ligand 3,3',4,4',5,5'-hexahydroxybiphenyl, which also define the iron-oxide 2D layers. …”
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The complexity of gradient descent: CLS = PPAD∩PLS by Fearnley, J, Goldberg, P, Hollender, A, Savani, R

“…We study search problems that can be solved by performing Gradient Descent on a bounded convex polytopal domain and show that this class is equal to the intersection of two well-known classes: PPAD and PLS. …”

The Tic20 gene family: Phylogenetic analysis and evolutionary considerations by Töpel, M, Jarvis, P

“…Tic20 is a polytopic protein of the inner envelope membrane of chloroplasts, and it is proposed to act as a translocation channel during chloroplast protein import. …”

Ecological-faunistic analysis of ground beetles and tiger beetles (Coleoptera: Carabidae, Cicindelidae) of metropolises of Ukraine by A. V. Putchkov, V. V. Brygadyrenko, N. Y. Nikolenko

“…In numbers in all the metropolises, the polytopic group dominated, among which abundant species comprised almost half. …”
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Hybrid resultant matrix algorithm based on the sylvester-bezout formulation by Ahmad, Shamsatun Nahar

“…Sparse systems can be utilized by considering the underlying properties of its Newton polytopes, the convex hull of the support of the system. …”
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Graph weights arising from Mayer and Ree-Hoover theories of virial expansions by Amel Kaouche, Pierre Leroux

“…These weights are computed using signed volumes of convex polytopes naturally associated with the graph $c$. …”
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Antipodal symmetry of two-loop MHV amplitudes by Yu-Ting Liu

“…Intriguingly, the map acts as an isomorphism on the normal fans of the Newton polytopes of the symbol letters. The conjectured symmetry is one of the rare known cases where the antipode map shows up in physically important examples.…”
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POSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONS by POSTNIKOV, ALEXANDER

“…This implies a close relationship between the positive Grassmannian and the theory of fiber polytopes and the generalized Baues problem. This suggests natural extensions of objects related to the positive Grassmannian.…”
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Formalizing the Face Lattice of Polyhedra by Xavier Allamigeon, Ricardo D. Katz, Pierre-Yves Strub

“…We also prove a theorem due to Balinski on the $d$-connectedness of the adjacency graph of polytopes of dimension $d$.…”
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On Domatic Number of Some Rotationally Symmetric Graphs by Hassan Raza, Sunny Kumar Sharma, Muhammad Azeem

“…Furthermore, we discuss the domatic number for some other cycle-related graphs and graphs of convex polytopes.…”
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Um método de análise de populações vegetais by G. M. de Oliveira Castro

“…Taking the monotopic genera, with exepcion of the occasional very rare relics, as modern ones, and the polytopics as the older genera, the above mentioned correlation is again indicated. …”
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Superposition in efficient robust constrained predictive control by Lee, Y, Kouvaritakis, B

“…A stabilizing control method, which does not require on-line optimizations, is developed for linear systems with polytopic model uncertainties and hard input constraints. …”

Combinatorial and Additive Number Theory III : CANT, New York, USA, 2017 and 2018 / by International Conference on Combinatorial and Additive Number Theory (2017 : New York, N.Y.) 637053, Nathanson, Melvyn B. (Melvyn Bernard), 1944-, editor 465639

“…Topics featured in this volume include sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, commutative algebra and discrete geometry, and applications of logic and nonstandard analysis to number theory. …”

On the Origin of Tetraploid Vernal Grasses (<i>Anthoxanthum</i>) in Europe by Zuzana Chumová, Terezie Mandáková, Pavel Trávníček

“…An allotetraploid and polytopic origin of the species has been verified. …”
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Fan realizations of type $A$ subword complexes and multi-associahedra of rank 3 by Nantel Bergeron, Cesar Ceballos, Jean-Philippe Labbé

“…This solves the first open case of the problem of finding fan realizations where polytopality is not known. The techniques presented in this paper work for all finite Coxeter groups and we hope that they will be useful to construct fans realizing subword complexes in general. …”
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Wide Area Coordinated Control of Multi-FACTS Devices to Damp Power System Oscillations by Shiyun Xu, Ying Yang, Kaixiang Peng, Linlin Li, Tasawar Hayat, Ahmed Alsaedi

“…Aiming at damping the inter-area oscillations of power systems, the present study proposes a wide-area decentralized coordinated control framework, where the upper-level controller is designed to coordinate the lower-level multiple FACTS devices. Based on the polytopic differential inclusion method, the derived controller adopts a decentralized structure and it is guaranteed to be robust to meet the demand of operation under multiple operating conditions. …”
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Drosophila rhomboid-1 defines a family of putative intramembrane serine proteases. by Urban, S, Lee, JR, Freeman, M

“…The polytopic membrane protein Rhomboid-1 promotes the cleavage of the membrane-anchored TGFalpha-like growth factor Spitz, allowing it to activate the Drosophila EGF receptor. …”

Zonotopic Linear Parameter Varying SLAM Applied to Autonomous Vehicles by Marc Facerias, Vicenç Puig, Eugenio Alcala

“…In particular, this work takes advantage of the properties of polytopic Linear Parameter Varying (LPV) systems and set-based methodologies applied to Kalman filters to precisely locate both a set of landmarks and the vehicle itself. …”
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Higher derivative corrections to string inflation by Michele Cicoli, Matteo Licheri, Pellegrino Piantadosi, Fernando Quevedo, Pramod Shukla

“…Using the Kreuzer-Skarke database of 4D reflexive polytopes and their triangulated Calabi-Yau database, we present scanning results for a set of divisor topologies corresponding to threefolds with 1 ≤ h 1,1 ≤ 5. …”
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