Direct Variation:Direct variation explains the relationship between two variables that change in the same direction. That is, when one variable increases, the other variable increase, and vice versa. For variables that are directly related, their ratio is equal to a constant referred to as...
(34) is parabolic in a region Ω ⊂ Rn if for every choice of the function v(x), the matrix Λ = (ajk(x,v,Dv)) has a vanishing determinant for each x ∈ Ω. The equation in Section III.D is a parabolic equation. View chapter Reference work 2003, Encyclopedia of Physical ...
for which the variational equation yields the exact ground-state density ρs(r). Ts[ρ] is the universal kinetic energy functional of the non-interacting system. The KS scheme is based on the following assertion: for any interacting system, there exists a unique local single-particle potential...
Since the discovery of neutrino oscillations, we know that neutrinos have non-zero mass. However, the absolute neutrino-mass scale remains unknown. Here we report the upper limits on effective electron anti-neutrino mass, mν, from the second physics run
Owing to its unique penetrating power and high-resolution capability, X-ray imaging has been an irreplaceable tool since its discovery. Despite the significance, the resolution of X-ray imaging has largely been limited by the technical difficulties on X-
SNRwas calculated as the ratio between the X-ray average photocurrent measured at each dose rate value and the standard deviation of the dark current, as reported in the following equation: $${\it{SNR}}=\frac{\frac{1}{n}\sum_{i}^{n}{I}_{{ph}_{i}}}{\sqrt{\frac{1}{n}\sum_...
Substituting (4) into (9), we can transform the term associated with \(d_1\), \(d_2\), and \(n\) in the above equation as $$\begin{aligned}&\int \hat{r}_{d_1}\Big ( \varvec{y}, x_{d_1}^{(n)} \Big ) \hat{r}_{d_2}\Big ( \varvec{y}, x_{d_2}^{(n)...
Variation of the shear moduli, c′ and c44, of Fe100 − xGax with x, heat treatment (slow-cooled (SC) or quenched (Q)) and temperature x (at.% Ga) and thermal treatmentc′ (GPa)c44 (GPa)Δc′/c′ (Tlowest) (%)Δc44/c44 (Tlowest) (%) 301 K4 K301 K4 K 0 SC ...
The Michaelis-Menten equation further describes the relationship between the initial rate of an enzyme-catalyzed reaction, v; the maximal rate of the reaction, Vmax; the concentration of substrate, [S]; and the Michaelis-Menten constant, Km. The Km represents the substrate concentration required in...
evidence of meiosis and gamete function in Symbiodiniaceae and suggests that sexual reproduction can occurin hospiteunder natural conditions. These findings open the door to exploring the conditions that promote sex, as well as potential variation in sexual recombination rates, among Symbiodiniaceae ...