01 The size function for imaginary cyclic sextic fields 45:23 Mean values of long Dirichlet polynomials 54:49 NIKA SALIA_ EXTREMAL PROBLEMS IN PLANAR GRAPHS 1:22:04 A survey of Büthe's method for estimating prime counting functions 39:09 Examples of well-behaved Beurling number systems 1:16...
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Zhonghua Zheng, in International Journal of Thermofluids, 2023 2.1.2 General polynomial chaos From the perspective of the function space, the pdf can be regarded as a vector in the second-order probability space (Ω,F,P), so the form of coordinates and basis functions can yield: (4)f(...
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Since one of the polynomial matrices is always square in our application to transfer function representation, attention is restricted to that situation. Definition 4.2.4 Suppose P(s) is a p× r polynomial matrix and Q(s) is an r× r polynomial matrix. If the r× r polynomial matrix R(s...
First, the traditional methods using the Taylor inclusion function and interval arithmetic usually lead to the wrapping effect. Second, the real-life multibody dynamics models are mostly large systems, which are highly rigid, nonlinear, and discontinuous; however, many conventional, intrusive interval ...
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Using all this information, we can sketch the function described by Eq. (I.1.16); see Fig. I.1.4. Example I.1.3 (Physical Application ). To motivate things more, let's look at a physical example of a rational function (and where we'll also use a polynomial function): the van der ...
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