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Then, we introduce the following definition of generating function of Dirichlet's type of Eulerian polynomials.
2, we cover moment generating functionals, which expand the definition of generating functions to cover distributions of functions, such as the trajectory of a stochastic process.
The rule also revises the definition of "Generating Facility" to explicitly include electric storage resources.
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In 1997, Chang et al. [22] introduced the definition of a generating space of a quasi-metric family and established some interesting fixed point theorems and coincidence point theorems in the generating space of a quasi-metric family.
Each of the active interfering macro-BSs transmits with the same power P P. Again, using the definition of the generating functional for the PPP, we can write {mathrm{mathcal{L}}}_{I_{mathrm{MB}}}(s)= exp left{-{mathrm{E}}_Gleft[{displaystyle underset{0}{overset{infty }{int }}}left 1- exp left -s{P}_PG{L}^{-alpha}right)right){left -s{P}_PG{L}^{-alpha}rightght}.
(32) By the definition of a generating space of a b-dislocated metric family, begin{aligned} epsilon & leq d_{alpha}(x_{psi(n)},x_{varphi(n)}) & leq sbigl[d_{beta}(x_{psi(n)},x_{psi(n -1})+d_{beta}(x_{psi (n -1},x_{varphi(n)}) bigr] & leq sd_{alpha}(x_{psi(n)},x_{varphi(n)-1})+d_{beta} quad forall n inmathbb{N}.
From the definition of the generating function it follows that R (x, t ) = ∂ ω ϕ ω (x, t ) | ω = 0. Differentiating Equation (5) w.r.t.
Based on above definition, we introduce the following definition in the setting of generating space of b-quasi-metric family.
Typical sensors (CCD or CMOS) used in home digital camcorders have the potential of generating high definition (HD) video sequences.
The solubility class definition of asphaltenes generates a broad distribution of molecular structures.
Validation logic based on definition of worksheets generates warnings to staff, e.g. for required groups missing a selected value or fill-ins with inconsistent formatting.
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CEO of Professional Science Editing for Scientists @ prosciediting.com