The phrase "and this quantity is" is correct and usable in written English.
It can be used when introducing or defining a specific quantity in a mathematical, scientific, or technical context.
Example: "The total mass of the object is calculated using the formula, and this quantity is essential for determining its gravitational force."
Alternatives: "this value is" or "this amount is".
An estimate for the exergy efficiency of a turbine in free flow is formulated using momentum theory, and this quantity is computed for both devices.
The global softness is defined as the inverse of the global hardness and this quantity is given as [14]: S = frac{1}{eta } = - left( {frac{partial N}{partial mu }} right)_{nu (r)} (12).
The amount of scatter in these distributions on top of the known uncertainties in measurement and analysis is defined by overdispersion and this quantity is generally used for weighting individual De values to calculate a central equivalent dose.
Continuing with the online market example, if trajectories with positive early market share rates r(A) are much more likely to yield market share dominance for A than are trajectories with negative early r(A), then the situation is unpredictable (because the outcome depends sensitively on r(A) and this quantity is not measured).
The radius of gyration tensor provides an attractive choice for NP shape characterization and this quantity is often employed in the shape characterization of synthetic and biological macromolecules such as DNA and proteins.
The input into neuron k, prior to activation is expressed linearly as b k 1 + ∑ j = 1 p w kj x j, where p = 700 or 2421, and b k 1 is the bias parameter defined in the hidden layer and this quantity is then transformed using some linear or nonlinear activation function (f k ) as: (1) f k b k 1 + ∑ j = 1 p w kj x j.
Note that the sum of the PNDE and TNIE and the sum of the TNDE and PNIE are the same, and that this quantity is the total causal effect (TCE) of X on Y:.
Suppose that N has the geometric distribution with probability p and that this quantity is independent of X i, for i=1,…,N.
Because of this part of Eq. (7) is outside of this research's aim and scope, this quantity is considered in constant form (assumption is based on laboratory conditions in recent researches).
Using this formalism, where intra-subband energy levels are neatly identified, we study the optical response for different barrier and well thicknesses, and show that this quantity is very sensitive to small changes in the superlattice parameters.
Here we derive a simple deterministic path-integral quasi-potential, based on the kinetic parameters of a gene network regulating cell fate, and show that this quantity is minimized along a temporal trajectory in the state space of the gene network, thus providing a marker of directionality for cell differentiation processes.
