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Here, in the context of complex-valued functions, the big-o notation\mathcal {O}(\cdot )is understood as follows: Letfandgbe complex-valued functions defined on a set\mathscr {S}\subset {\mathord {\mathbb C}}, the formulaf(z)=\mathcal {O}(g(z))means that there is a constantC...
The stability of the noble gases is what all the elements want to achieve. These elements make up the last column or group of the periodic table. They all have full valence shells or eight electrons. Helium only has two, but it is still full....
where,andis the complex conjugate of. In order to simplify notation, we defineand. Now, let us introduce the spaces endowed with the-norm,. With respect to the existence and uniqueness of the solutions of (2), we have the following Lemma. ...
Full size table Table 6 Number of inferred periodic time series: case 6. The number of inferred periodic time series using the robust method and standard Gaussian plus impulsive noise in the data. p-values were obtained by using permutation tests. Full size table Table 7 Number of inferred pe...
Eyring-Powell model13,20is chosen to describe the non-Newtonian fluid, which is in the usual notation given as: $$ \tau_{ij} = \left[ {\mu + \frac{1}{b}\sinh^{ - 1} \left( \frac{1}{a} \right)} \right]\frac{{\partial V_{i} }}{{\partial x_{j} }},\,\,\, \,...
The rest of this study is organized as follows. The problem description and notation are presented in the following section. In “Properties” section, one new two-stage BIP model is developed. In “Two-stage BIP model”, some dominance properties of the considered problem are obtained. In “...
distance calculator percentage increase calculator square footage calculator square root calculator percentage change calculator ratio calculator triangle calculator fractions calculator area calculator percentage difference calculator percentage off calculator scientific notation calculator simple interest calculator ...
distance calculator percentage increase calculator square footage calculator square root calculator percentage change calculator ratio calculator triangle calculator fractions calculator area calculator percentage difference calculator percentage off calculator scientific notation calculator simple interest calculator ...