Sentence examples for definition equation from inspiring English sources
The grid cell aspect ratio, the so-called distortion function, is calculated from its definition equation in the entire domain.
The definition (Equation 6) is called the zero-order approximation because it is actually a reformulated precise definition (Equation 5).
Energy ( tilde{W}left(mathbf{r}right) ) in the definition (Equation 2) corresponds to the second line.
Human-readable annotations on reactions include the reaction definition, equation, a reference to the reaction equation as HTML-image, and the result of the atom balance check (i.e., if there are missing atoms in the reaction).
Additional file 2 shows all metabolites and reactions involved in specified biochemical pathways, along with added reactions; it contains reaction properties such as name, ID, definition, equation, directionality, lower and upper bounds, enzyme commission (EC) numbers, ORFs, replaced reactions, and references.
It contains reaction properties such as name, ID, definition, equation, directionality, lower and upper bounds, enzyme commission (EC) numbers, open reading frames (ORFs), KEGG IDs of reactions that were replaced by added reactions (replaced reactions), and references (Additional file 2-1).
By definition (Equations 16 and 18), we have that (w a,b) leq {varepsilon }_{infty downarrow }^{text {in}}) for all ({langle } a,b{rangle } in {mathcal {C}}_{text {in}}(x_{text {opt}})).
To calculate the CSTR trajectory, the rate definition equations in Table 1 were substituted into Eq. (8), then the non-linear system of equations was solved for increasing residence time values until full conversion was achieved.
For real applications, the definitions, equations and main properties for the F-curves in different schemes (FB-splines, F-Bézier and F-Ferguson schemes) are introduced in details.
The kernel density definition in Equation 2 is completed by two more expressions, Equation 3 and Equation 4, where the height function and its boundaries are detailed.
