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Each point of the spectrum of L, different from ((m+frac{1}{2})^{4}) in (F_{m}) is an isolated eigenvalue which has finite multiplicity.
(c) Each point of the spectrum of L, different from ((m+frac{1}{2})^{4}) in (F_{m}) is an isolated eigenvalue which has finite multiplicity.
The control algorithm is a receding horizon scheme with a quasi-infinite horizon objective function which has finite and infinite horizon cost components and uses multiple linear models in its predictions.
Let ε > 0 be a constant, and k and j be integers satisfying k > j ≥ 0. Then the following two statements hold: (a) There exists a set E 1 ⊂ ( 1, ∞ ) which has finite logarithmic measure such that for all z satisfying | z | ∉ E 1 ∪ [ 0, 1 ], we have | f ( k ) ( z ) f ( j ) ( z ) | ≤ | z | ( k − j ) ( σ − 1 + ε ).
Assume that two functions (f,g:[a,b]rightarrow R) are continuous in ([a,b]) and differentiable in ((a,b)) whose derivatives (f',g':(a,b rightarrow R) are bounded in ((a,b)); if ξ is a random variable which has finite expected value Eξ and variance Dξ.
The discovery of petrol led the society to shape a development model highly dependent on this source of energy, which has finite resources and also promotes a big increase on the greenhouse gases, with unforeseeable consequences for the human beings as well as the entire life.
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A distinction can be drawn between rewards that are infinitely variable versus those which have finite variability.
Only if: The set Uk consists of those sequences which have finite initial subsequences which are compressible by k bits.
Let ϕ be the set of all sequences which have finite number of non-zero terms.
Throughout this paper, let be a positive integer and we consider only the random variables which have finite expected values.
This paper presents a frequency-domain spectral element model for the symmetric laminated composite plates which have finite dimensions in two orthogonal directions, i.e., in the x- and y-directions.
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