Results 281 to 290 of about 2,581,635 (319)

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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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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Explicit forms for certain Hermite approximations

BIT, 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.
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Explicit closed forms for parametric integrals

International Journal of Mathematical Education in Science and Technology, 2004
Closed forms are computed for parametric integrals, generally using induction formulas. It is shown that these integrals can be core activities, mixing hand-work, computations with a computer algebra system and experimental mathematics with an interactive website.
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Explicit Form of the Faulhaber Polynomials

The College Mathematics Journal, 2015
Hersh recently showed that the Faulhaber polynomials, related to sums of consecutive powers, can be expressed as even or odd polynomials in the variable offset by one-half.
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Focus on grammatical form: explicit or implicit?

System, 2002
Grammar teaching has been and continues to be an area of some controversy and debate have led to the emergence of a new classroom option for language teachers: that of Focus on Form (as opposed to Focus on Meaning or Focus on FormS). Against this background of ‘interesting times’ for grammar teaching, this paper reports research into teachers ...
John Burgess, Siân Etherington
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Generalized free field in explicit form

Reports on Mathematical Physics, 1971
Abstract The calculations showing that the generalized free field and its normal products may be taken at a point are performed. The Fourier transform of the field and its support is discussed. It is shown that the well-known expression, utilizing the Fourier transform of the field, gives the generators of the Poincare group. All this is done at the
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Realizations of chiral transformations: explicit forms

Canadian Journal of Physics, 1970
The parallel approaches to the general problem of giving nonlinear realizations of chiral SU(n) [Formula: see text]SU(n) appropriate to phenomenological field theories as derived by Callan, Coleman, Wess, and Zumino on the one hand, and by Barnes and Isham on the other, are reviewed and compared.
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The Exponential Habit Forming Utility: Explicit Forms and Graphical Illustrations

2014
This thesis focuses on characterizing the optimal consumption and investment strategy for an investor, in a simple financial market, when his consumption habit is considered in the utility formulation. We consider a continuous-time market model for which we maximize the overall utility within an infinite horizon.
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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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