Results 21 to 30 of about 40,856 (184)

Global configurations of singularities for quadratic differential systems with exactly two finite singularities of total multiplicity four

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this article we obtain the geometric classification of singularities, finite and infinite, for the three subclasses of quadratic differential systems with $m_f=4$ possessing exactly two finite singularities, namely: (i) systems with two double complex
Joan Artés, Jaume Llibre, Alex Rezende, Dana Schlomiuk, Nicolae Vulpe   +4 more
doaj   +1 more source

Lie algebra admitted by the differential system s³(3) and functional basis of invariants polynomials

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
The Lie algebra of the representation of the centro-affine group in the space of coefficients, phase variables and covariant vector coordinates for the ternary differential system with third-degree homogeneities s³(3) was obtained.
Lidia Mușinschi
doaj   +1 more source

Correlation Testing for Affine Invariant Properties on $\mathbb{F}_p^n$ in the High Error Regime

, 2013
Recently there has been much interest in Gowers uniformity norms from the perspective of theoretical computer science. This is mainly due to the fact that these norms provide a method for testing whether the maximum correlation of a function $f:\mathbb{F}
Hatami, Hamed, Lovett, Shachar
core   +1 more source

On algebraic supergroups, coadjoint orbits and their deformations [PDF]

, 2003
In this paper we study algebraic supergroups and their coadjoint orbits as affine algebraic supervarieties. We find an algebraic deformation quantization of them that can be related to the fuzzy spaces of non commutative geometry.Comment: 37 pages, AMS ...
Fioresi, R., Lledo, M. A.
core   +3 more sources

Configurations of quadratic systems possessing three distinct infinite singularities and one or more invariant parabolas

Electronic Journal of Qualitative Theory of Differential Equations
Denote by $\textbf{QS}$ the class of all non-degenerate planar quadratic differential systems and by $\textbf{QSP}$ the subclass of $\textbf{QS}$ of all systems possessing at least one invariant parabola.
Regilene Oliveira, Alex Rezende, Dana Schlomiuk, Nicolae Vulpe   +3 more
doaj   +1 more source

Functions dividing their Hessian determinants and affine spheres [PDF]

, 2016
The nonzero level sets of a homogeneous, logarithmically homogeneous, or translationally homogeneous function are affine spheres if and only if the Hessian determinant of the function is a multiple of a power or an exponential of the function.
Fox, Daniel J. F.
core   +1 more source

Family of quadratic differential systems with invariant parabolas: a complete classification in the space ${\mathbb R}^{12}$

Electronic Journal of Qualitative Theory of Differential Equations
Consider the class ${\bf QS}$ of all non-degenerate planar quadratic differential systems and its subclass ${\bf QSP}$ of all its systems possessing an invariant parabola.
Nicolae Vulpe
doaj   +1 more source

Bottom‐Up Programming of Cell States in Cancer Organoids with Defined Synthetic Adhesion Cues

Advanced Materials, EarlyView.
A bottom‐up biomaterial platform is developed to program transcriptomic states in pancreatic cancer organoids by tuning adhesion cues within synthetic matrices. By combining a Design of Experiments framework with multiobjective optimization, matrix compositions are identified that enrich specific cellular programs like EMT.
Ali Nadernezhad, Verena J. Kast, Dagmar Pette, Franziska Baenke, Daniel E. Stange, Carsten Werner, Daniela Loessner   +6 more
wiley   +1 more source

Resistance to Overdoping Allows Over 2000 S cm−1 Conductivity in P(g3BTTT) With Anion‐Exchange Doping

Advanced Materials, EarlyView.
Anion‐exchange doping of conjugated polymers is an effective way to achieve high conductivities. Here, we report over 2000 S cm−1 electrical conductivity for doped P(g3BTTT). In addition, we show that P(g3BTTT) sustains exceptionally high doping levels without any drop in the charge mobility.
Basil Hunger, Maximilian M. Horn, Eva Röck, Diego Rosas Villalva, Lize Bynens, Jochen Vanderspikken, Christina Kousseff, Silène Gobeil, Olivier Bardagot, Nesibe Akmanşen‐Kalayci, Sarah H. Tolbert, Iain McCulloch, Wouter Maes, Demetra Tsokkou, Natalie Banerji   +14 more
wiley   +1 more source

Atomic Defects in Layered Transition Metal Dichalcogenides for Sustainable Energy Storage and the Intelligent Trends in Data Analytics

Advanced Science, EarlyView.
This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo, Ying Yang, Zizhen Fu, Fengqi Liu, Susu Fang, Kele Xu, Shanshan Wang   +6 more
wiley   +1 more source