Results 11 to 20 of about 26,513 (266)
Noetherian first integrals [PDF]
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Leach, P. G. L., Flessas, G. P.
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Some metrics admitting nonpolynomial first integrals of the geodesic equation
It is commonly known that Killing vectors and tensors are in one–to–one correspondence with polynomial first integrals of the geodesic equation. In this work, metrics admitting nonpolynomial first integrals of the geodesic equation are constructed, each ...
Anton Galajinsky
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A study of Feynman integrals with uniform transcendental weights and their symbology
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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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.
James Campbell Quick, John L. Goolsby
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An approach to quantum 2D gravity
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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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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Monotonicity and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind
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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Crossing Periodic Orbits via First Integrals [PDF]
We characterize the families of periodic orbits of two discontinuous piecewise differential systems in [Formula: see text] separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems, and the other by nonlinear differential systems.
Llibre, Jaume +2 more
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Families of Solutions of Multitemporal Nonlinear Schrödinger PDE
The multitemporal nonlinear Schrödinger PDE (with oblique derivative) was stated for the first time in our research group as a universal amplitude equation which can be derived via a multiple scaling analysis in order to describe slow modulations of the ...
Cristian Ghiu +2 more
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Optimal Shape and First Integrals for Inverted Compressed Column
We study optimal shape of an inverted elastic column with concentrated force at the end and in the gravitational field. We generalize earlier results on this problem in two directions.
Enes Kacapor +2 more
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