Results 21 to 30 of about 40,823 (186)
Angewandte Chemie, EarlyView.This study explores the origins of life by linking prebiotic chemistry, the emergence of information‐carrying molecules such as RNA and proteins, and philosophical questions about consciousness. The study emphasizes the role of molecular evolution in the Central Dogma and provides insights into the chemical origins of biology and the basis of life's ...
Harald Schwalbe +5 more
wiley +2 more sources
An exactly solvable quantum four-body problem associated with the symmetries of an octacube
New Journal of Physics, 2015 In this article, we show that eigenenergies and eigenstates of a system consisting of four one-dimensional hard-core particles with masses 6 m , 2 m , m , and 3 m in a hard-wall box can be found exactly using Bethe Ansatz.
Maxim Olshanii, Steven G Jackson
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this article we obtain the geometric classification of singularities, finite and infinite, for the two subclasses of quadratic differential systems with total finite multiplicity $m_f=4$ possessing exactly three finite singularities, namely: systems ...
Joan Artés +3 more
doaj +1 more source
Macdonald's Evaluation Conjectures and Difference Fourier Transform [PDF]
, 1994 In the previous author's paper the Macdonald norm conjecture (including the famous constant term conjecture) was proved. This paper contains the proof of the remaining two (the duality and evaluation conjectures). The evaluation theorem is in fact a $q,t$
Cherednik, Ivan
core +4 more sources
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 +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 NaturiiThe 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
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Electronic Journal of Qualitative Theory of Differential EquationsDenote 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 +3 more
doaj +1 more source
The Effect of Variable Na/K on the CO2 Content of Slab‐Derived Rhyolitic Melts
Geophysical Monograph Series, Page 195-208., 2020 This book is Open Access. A digital copy can be downloaded for free from Wiley Online Library.
Explores the behavior of carbon in minerals, melts, and fluids under extreme conditions
Carbon trapped in diamonds and carbonate-bearing rocks in subduction zones are examples of the continuing exchange of substantial carbon ...
Michelle Muth +2 more
wiley +2 more sources
Electronic Journal of Qualitative Theory of Differential EquationsConsider 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
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