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The explicit form of the Bertrand metric

Moscow University Mathematics Bulletin, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Fedoseev, O. A. Zagryadskii
semanticscholar   +2 more sources

On solvability and unsolvability of equations in explicit form

Russian Mathematical Surveys, 2004
The survey is devoted to the solvability and unsolvability of equations in explicit form. The classical theory of Abel, Liouville, Galois, Picard, Vessiot, Kolchin and others is described and discussed. For example, the one-dimensional topological version of Galois theory and the solvability of linear differential equations by quadratures and the ...
A. Khovanskii
semanticscholar   +3 more sources

The Explicit Form of Bashkow's A Matrix

IRE Transactions on Circuit Theory, 1962
P. Bryant
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An explicit form for love wave velocity

International Journal of Engineering Science, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karayannakis, D., Sotiropoulos, D.
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The Bianchi Identities in an Explicit Form

Archive for Rational Mechanics and Analysis, 1988
Let v(x) be a given vector field in Euclidean 3-space \(E_ 3\), while s(x) is the unit vector tangent to the vector-lines of v, and n is the unit principal normal to this vector-line. The unit bi-normal is \(b=s\times n\). The components of grad s, grad n, grad b on the basis (s,n,b) are connected by nine compatibility conditions contained in the ...
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An Explicit Form For System Mean Life

IEEE Transactions on Reliability, 1977
In the paper a formula is derived from which the mean life of nonrepairable systems (whose components have constant failure rates) can be written down by inspecting the list of system working states. The formula is simple to use and has an important property in that it leads to an expression whose terms all have the same (positive) sign.
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Explicit Form for ψ (Tζ)

1986
In order to use Theorem 1 for the explicit determination of the allowed LR-sequences for trapezoidal curves, we now introduce a notation that allows us to give explicitly every LR-sequence and the corresponding function ψ (Tζ). Let α denote the (k+1)-tuple α = (α0,α1,…,αk), each αi e z+, and k e Z. We define the set Ρ of α-sequences by $$P = \left\{
J. D. Louck, N. Metropolis
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On an Explicit Construction of a Certain Class of Automorphic Forms

American Journal of Mathematics, 1969
Introduction. In modern terms the problem of construction of autoniorphic functions can be expressed most elegantly in terms of representations of adele groups as the problem of obtaining the explicit spectrum of L2(Gk\GA) where G is an algebraic group defined over a number field k and where GA and G7.
Shalika, J. A., Tanaka, S.
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On the explicit form of consistent anomalies

1991
We show that the two most frequent expressions for the anomalous commutators can be both derived from quantities associated with the Wess-Zumino-Witten action.
J. A. De Azcárraga, J. M. Izquierdo
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Explicit/implicit partitioning and a new explicit form of the generalized alpha method

Communications in Numerical Methods in Engineering, 2003
Abstractabstract Most finite element packages use the Newmark algorithm for time integration of structural dynamics. Various algorithms have been proposed to better optimize the high frequency dissipation of this algorithm. Hulbert and Chung proposed both implicit and explicit forms of the generalized alpha method.
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