Exact(2)
The functional considered characterizes torsional and bending rigidities, and the area of cross-section of the bar.
For our purpose, we begin by recalling the well-known celebrated functional considered by Chebyshev [14] and defined by T f,g) := frac{1}{b-a}int_{a}^{b} f(x) g(x),dx- biggl(frac {1}{b-a}int_{a}^{b} f(x),dx biggr) biggl(frac{1}{b-a}int_{a}^{b} g(x),dx biggr), (1.1) where (f(x)) and (g(x)) are two integrable functions on ([a, b]).
Similar(58)
As a whole, Cairo's waste-collection system is surprisingly functional, considering that it's largely informal.
This style is downright functional, considering the white fox furs women were somehow persuaded to carry in the un-air-conditioned 1920s and 1930s.
The statistically stationary state can be equated with an optimized state where the population is maximally functional, considering the restrictions imposed by the system parameters.
They are likely to be functional considering that they come from a class of introns heavily enriched in annotated functional non-coding RNAs, but some of them are conserved and some are not as judged by their PhastCons scores.
For example, if we consider only (J_chi), for all of the density functionals considered, the values are very close to zero.
A series of airfoil test cases, including separated, high-lift flows, are presented to demonstrate the approach; the functionals considered are the lift and drag coefficients.
It should be pointed out that the Lyapunov functionals considered in these references are more restrictive due to the ignorance of the term Moreover, the term is also ignored in Gao and Chen [7] and Gao et al. [8].
The four density functionals considered in this study display a large negative value of the condensed dual descriptor f(2)(r) over O18, implying that this will be the preferred site for the electrophilic attack.
These calculations led to a general modest redshift of about 25 nm (0.1 eV) for all systems and functionals considered.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com