Properties of the new N $$ \mathcal{N} $$ = 1 AdS4 vacuum of maximal supergravity by Nikolay Bobev, Thomas Fischbacher, Krzysztof Pilch

“…Abstract The recent comprehensive numerical study of critical points of the scalar potential of four-dimensional N $$ \mathcal{N} $$ = 8, SO(8) gauged supergravity using Machine Learning software in [1] has led to a discovery of a new N $$ \mathcal{N} $$ = 1 vacuum with a triality-invariant SO(3) symmetry. Guided by the numerical data for that point, we obtain a consistent SO(3) × ℤ2-invariant truncation of the N $$ \mathcal{N} $$ = 8 theory to an N $$ \mathcal{N} $$ = 1 supergravity with three chiral multiplets. …”
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Full Static Output Feedback Equivalence by Aristotle G. Yannakoudakis

“…We present a new set of output feedback invariant polynomials that generalize the breakaway polynomial of scalar systems.…”
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The Exact Solutions of a Diffusive SIR Model via Symmetry Groups by R. Naz, A. G. Johnpillai, F. M. Mahomed

“…The reductions and group-invariant solutions are obtained with the aid of these subalgebras. …”
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DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds by Rawan Bossly, Majid Ali Choudhary, Mohd Danish Siddiqi, Oḡuzhan Bahadır, Mehmet Gülbahar

“…Moreover, we discuss the same inequality for totally real, anti-invariant, and invariant submanifolds on quaternionic space forms, endowed with both semi-symmetric metric and semi-symmetric non-metric connections. …”
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An Approach of Randomness of a Sample Based on Its Weak Ergodic Limit by Jaime A. Londoño

“…The results obtained suggest some natural objects for the model of a probabilistic time-invariant phenomenon are uniquely ergodic probability spaces. …”
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Complex Dynamics in Generalized Hénon Map by Meixiang Cai

“…The numerical simulations show the consistence with the theoretical analysis and reveal some new complex phenomena which can not be given by theoretical analysis, such as the invariant cycles which are irregular closed graphics, the six and forty-one coexisting invariant cycles, and the two, six, seven, nine, ten, and thirteen coexisting chaotic attractors, and some kinds of strange chaotic attractors.…”
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Regularization of f(T) Gravity Theories and Local Lorentz Transformation by Gamal G. L. Nashed

“…We show that the effect of the arbitrary function which is involved in the LLT invariably disappears.…”
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Magnetic Phase Separation and Magnetic Moment Alignment in Ordered Alloys FE65Al35−xMx (Mx = Ga, B; x = 0; 5 at.%) by E. V. Voronina, A. K. Arzhnikov, A. I. Chumakov, N. I. Chistyakova, A. G. Ivanova, A. V. Pyataev, A. V. Korolev

“…It is shown that the addition of boron to the initial binary alloy Fe65Al35 results in the ferromagnetic behavior of the ternary alloy.…”
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A Novel Method of the Generalized Interval-Valued Fuzzy Rough Approximation Operators by Tianyu Xue, Zhan’ao Xue, Huiru Cheng, Jie Liu, Tailong Zhu

“…Main properties of these operators are discussed under different interval-valued fuzzy binary relations, and the illustrative examples are given to demonstrate the main features of the proposed operators.…”
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Extending measurement range for three-dimensional structured light imaging with digital exponential fringe pattern by Abel, Kamagara

“…This approach exploits the fact that at low levels of defocusing, exponential binary-coded fringe pattern exhibits a quasi-sinusoidal form having intact binary structures with reduced or negligible errors owing to high-order harmonic robustness during fringe generation. …”
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Geometry of non-holonomic complexes NGr (1, 4, 4) in a four-dimensional affine space by Kazimieras Navickis

“… In this article intrinsic normalizations of a non-holonomic complexes in affine space A4 is constructed in an invariant form. …”
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Intrinsic normalizations of a nonholonomic hypersurface with m-dimensional generators in affine space An by Kazimieras Navickis

“… In this article intrinsic normalizations of a nonholonomic hypersurface with m-dimensional generators in affine space An is constructed in an invariant form. …”
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Isobaric vapor-liquid equilibria of ternary lead-tin-antimony alloy system at 2 Pa by Xu J., Gao J., Kong L., Xu B., Yang B., Liu D.

“…The activities of the components of Pb–Sn–Sb ternary alloy and those of the corresponding three constituent binaries were calculated using the Wilson equation. …”
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Mechanical properties and deformation mechanisms of the C14 Laves and µ-phase in the ternary Ta-Fe(-Al) system by C. Gasper, E.M. Soysal, N. Ulumuddin, T. Stollenwerk, T. Reclik, P.L. Sun, S. Korte-Kerzel

“…The composition strongly influences the indentation modulus in the binary Ta-Fe system, showing a decreasing trend with increasing Ta content. …”
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Stability Constants of Mixed Ligand Complexes of Nickel(II) with Adenine and Some Amino Acids by Naciye Türkel

“…Potentiometric equilibrium measurements showed that both binary and ternary complexes of Ni(II) form with adenine and the above-mentioned L-amino acids. …”
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On computation of the ordinary Hilbert series for Sibirsky graded algebras of differential system s(3,5) by Lidia Mușinschi, Victor Pricop

“…The generalized and ordinary Hilbert series for Sibirsky graded algebras of comitants and invariants of autonomous polynomial differential systems are of particular importance for some problems of qualitative theory of differential systems. …”
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Stanley Depth of the Edge Ideal of Extended Gear Networks and Application in Circuit Analysis by Guiling Zeng, Muhammad Mobeen Munir, Raheel Farooki, Muhammad Athar, Jia Bao Liu

“…Stanley depth is a geometric invariant of the module which is closely related to an algebraic invariant called depth of the module. …”
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Toxic effects and mechanisms of nanoplastics and sulfonamide antibiotics on Scenedesmus obliquus by Jianyuan Yang, Zhen Yang, Jing Wang, Yanpeng Liang, Honghu Zeng, Litang Qin, Xiaohong Song, Lingyun Mo

“…The results showed that the six target pollutants and their eight binary mixtures were significantly toxic to Scenedesmus obliquus within 96 h. …”
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Some Identities of the Frobenius-Euler Polynomials by Taekyun Kim, Byungje Lee

“…By using the ordinary fermionic p-adic invariant integral on ℤp, we derive some interesting identities related to the Frobenius-Euler polynomials.…”
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Geometry of nonholonomic complexes NGr(1, 4, 4) by Kazimieras Navickis

“… In  this  article  intrinsic  normalizations  of a nonholonomic complexes NGr( 1, 4, 4) in projective space P4 is constructed in an invariant form. …”
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