Results 251 to 260 of about 6,941,943 (289)

The Explicit Form of the Bertrand Metric

Moscow University Mathematics Bulletin, 2013
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D A Fedoseev
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An explicit form for love wave velocity

International Journal of Engineering Science, 1994
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Karayannakis, D., Sotiropoulos, D.
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EXPLICIT FORM OF THE LAW OF RECIPROCITY

Mathematics of the USSR-Izvestiya, 1979
A pairing in the multiplicative group of a local field (a finite extension of a p-adic number field) is defined in terms of the expansion of elements into series in a local uniformizing parameter. The main properties of this pairing are proved: bilinearity, skew-symmetry, invariance with respect to choice of local uniformizing parameter, and ...
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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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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 ...
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Explicit Forms for Certain Hermite Approximations

BIT Numerical Mathematics, 1973
The Hermite polynomial approximation in which function values and the first few derivatives of a given function are matched at two points is given in an explicit form and an error term is deduced. These results are extended to two dimensions.
G M Phillips
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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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Explicit form for impedance of cauer networks

International Journal of Computer Mathematics, 2001
In this paper a new procedure is established to obtain in closed form the poles and zeros of the impedance function of a first Cauer Network. The technique involves the continued fraction representation of the corresponding Laplace transform as a rational function whose numerators and denominators can be represented by tridiagonal determinants.
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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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