Results 21 to 30 of about 13,280,617 (282)
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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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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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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First Integrals and Symmetries of Nonholonomic Systems
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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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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Alignment and integration of the first PLATO camera [PDF]
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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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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Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures
In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete solutions of the Hamilton ...
Sergio Grillo +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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Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions [PDF]
We first construct new Hermite-Hadamard type inequalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard
Hasan Kara, Samet Erden, Huseyin Budak
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