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The coefficients of the power series of a real-analytic function can be expressed in terms of derivatives of that function.
Fourier transform is essentially a process, whereby a given function can be expressed in terms of a trigonometric series.
In a limited range of arguments, the H function can be expressed in terms of a rapidly converging series of Bernoulli constants.
Corollary From equations (2.9) and (2.11), it is clear that the kth order derivative of the function can be expressed in terms of the Fibonacci coefficients as follows f ( k ) ( x ) = F ( x ) D k A, k = 0, 1, …, n. (2.16).
In [6], Sumita established the matrix Laguerre transform to calculate matrix convolutions and evaluated a matrix renewal function, similarly, in [9], Boshnakov showed that the entries of the autocovariances matrix function can be expressed in terms of the Kronecker convolution product.
The transmission function can be expressed in terms of the retarded and advanced Green's functions, GC r and GC a, of the conductor and the couplings of the conductor to left and right leads, ΓL and ΓR, using the Fisher and Lee formulas: Γ E = Tr Γ L G C r Γ R G C a Open image in new window.
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It is shown that the correlation functions can be expressed in terms of an intermediate construct, called the texture function; the correlation functions have quadratic dependence in the texture functions.
This function can be expressed in three forms.
Any Boolean function can be expressed in this way.
Hill's potential function is a simple extension of the Mises function, which can be expressed in terms of rectangular Cartesian stress components.
Let (f(t)) be a function which can be expressed in terms of the linearly independent Fermat polynomials as f(t)= sum_{j=1}^{infty}b_{j} mathcal{F}_{j}(t).
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