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Exact(41)
For, setting,, respectively, in the following first and second integrals, we have (2.3).
The following two important linearization formulas can be obtained by setting, respectively, (alpha=frac{1}{2},-frac{1}{2}).
The searching results are showed in Table 5 with mean values and standard deviations for each parameter setting respectively.
We propose two upper-confidence-bound algorithms called UCB-SI1 and UCB-SI2 to tackle this new problem in discrete-armed bandit and continuum-armed bandit setting respectively.
Compared to the contact system, the designed non-contact system also has an improved repeatability: the typical standard deviations reach about 50 μm/m and 10 μm/m before and after setting, respectively.
In order to state the result proved therein we introduce the Gaussian isoperimetric deficit (D_gamma (E)) and the Gaussian asymmetry (alpha _gamma (E)) by setting, respectively, begin{aligned} D_gamma (E):=P_gamma (E -e^{-frac{s^2}{2}},quad alpha _gamma (E -e^{-frac{s^2 mathbb {S}^{n-1}}gamma (E -e^{-frac{s^2), end{aligned}{henever E is a measurable set with (gamma (E)=Phi (s)), (nge 1).
Similar(19)
He followed The Ruling Class with a 1969 double bill – Leonardo's Last Supper/Noonday Demons – set respectively in medieval Europe and fourth-century Egypt.
The three parts of the book are entitled "The Follower", "The Lover" and "The Guardian", and they are mainly set respectively in Lesotho, central Africa and India.
Her bestseller was followed by And the Rain My Drink (1956) and The Mountain is Young (1958), set respectively in Malaya and Nepal.
Furthermore, set, respectively, (33).
We denote E and ( overline{E} ) as its interior edges set and boundary edges set, respectively.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com