Results 11 to 20 of about 27,312 (264)
First integrals of the Maxwell–Bloch system [PDF]
Comptes Rendus. Mathématique, 2020 We investigate the analytic, rational and $C^1$ first integrals of the Maxwell–Bloch system \begin{equation*} \dot{E}=-\kappa E+gP,\quad \dot{P}=-\gamma _{\bot }P+gE\triangle , \quad \dot{\triangle }=-\gamma _{\Vert }(\triangle -\triangle _0)-4gPE ...
Huang, Kaiyin, Shi, Shaoyun, Li, Wenlei
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Integrability and Limit Cycles via First Integrals [PDF]
Symmetry, 2021 In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as in physics, chemist, economics, etc., if we have a differential system on a manifold of dimension, two of them having a first integral, then its phase portrait is completely determined.
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On One Integrable System With a Cubic First Integral [PDF]
Letters in Mathematical Physics, 2012 LaTeX with AMS fonts, 9 ...
Vershilov, Alexander Vladimirovich +1 more
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A study of Feynman integrals with uniform transcendental weights and their symbology
Journal of High Energy Physics, 2022 Multi-loop Feynman integrals are key objects for the high-order correction computations in high energy phenomenology. These integrals with multiple scales may have complicated symbol structures, and we show that twistor geometries of closely related dual
Song He +5 more
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Alignment and integration of the first PLATO camera [PDF]
Space Telescopes and Instrumentation 2022: Optical, Infrared, and Millimeter Wave, 2022 sponsorship: This work presents results from the European Space Agency (ESA) space mission PLATO. The PLATO payload, the PLATO Ground Segment and PLATO data processing are joint developments of ESA and the PLATO Mission Consortium (PMC). Funding for the PMC is provided at national levels, in particular by countries participating in the PLATO ...
Royer, P. +25 more
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An approach to quantum 2D gravity
Physics Letters B, 2023 We consider a model of 2D gravity with the action quadratic in curvature and represent path integrals as integrals over the SL(2,R) invariant Gaussian functional measure.
Vladimir V. Belokurov +1 more
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Kyushu Journal of Mathematics, 1995 The Bohr-Mollerup theorem asserts that the gamma function \(\Gamma (a)\) is the only function defined for \(a > 0\) such that (i) \(\Gamma (a) > 0\), (ii) \(\Gamma (1) = 1\), (iii) \(a \Gamma (a) = \Gamma (a + 1)\), and (iv) \(\Gamma (a)\) is logarithmically convex. The authors use this to prove the well-known result (1) \(\zeta' (0,a) = \log \Gamma (a)
CHOI, Junesang, NAM, Young Man
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Organizational Dynamics, 2013 Senior-level executives identify integrity as the most important characteristic for effective leaders and followers. We agree that integrity is vital, but not the only important ethical issue in leadership. We set forth an ethical framework as the basis for examining ethical leadership and followership in organizations.
Quick, James, Goolsby, John L.
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First Integrals and Symmetries of Nonholonomic Systems
Archive for Rational Mechanics and Analysis, 2022 AbstractIn nonholonomic mechanics, the presence of constraints in the velocities breaks the well-understood link between symmetries and first integrals of holonomic systems, expressed by Noether’s Theorem. However, there is a known special class of first integrals of nonholonomic systems generated by vector fields tangential to the group orbits, called
Balseiro, Paula, Sansonetto, Nicola
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Monotonicity and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind
Comptes Rendus. Mathématique, 2020 With the aid of the monotone L’Hôpital rule, the authors verify monotonicity of some functions involving complete $(p,q)$-elliptic integrals of the first kind and the inverse of generalized hyperbolic tangent function, derive several sharp inequalities ...
Wang, Fei, Qi, Feng
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