The phrase "additive cases" is correct and usable in written English.
It can be used in contexts discussing grammar, linguistics, or mathematical concepts where additional elements or cases are being considered or added.
Example: "In our analysis of the language, we found several additive cases that enhance the overall structure of the sentences."
Alternatives: "additional cases" or "supplementary cases".
Commonly, random demand is defined as (Dleft( {p,varepsilon } right) = dleft( p right) + varepsilon) in the additive case and (D p,varepsilon ) = d(p) cdot varepsilon) in the multiplicative case, wherein (d(p)) is deterministic decreasing function that captures dependency between demand and price and (varepsilon) is a random variable defined on finite range.
Our simulations show that the presence of epistasis between two QTLs can increase QTL detection power compared to the additive case where the two QTLs control trait variation independently of each other.
Empirical results show that the presence of epistasis can increase power to detect the underlying loci compared to the non-epistatic additive case, in two-marker full model tests as well as in single-marker main effect tests.
For example, when allele frequencies are similar and sample size is low (n = 100), several forms of epistasis lead to a higher probability of correctly detecting at least one of the specified QTL, and also to lower false discovery rates, compared to the additive case.
It considers the additive case including or not the segregation variances.
The additive case, i.e. the coefficient for the interaction term being equal to zero, corresponds to equation 1 [ 4].
Using a multiplicative disease model in our epigenetic model did not change the qualitative results, so we focused on the additive case (r = 0.5).
The term E[tr(PRPR)] ≈ (n -1) m σ R 2 / σ W 4 is unchanged from the additive case and, by symmetry, E tr PQPQ ≈ n - 1 m σ Q 2 / σ W 4 and E tr PRPQ ≈ n - 1 mcov RQ / σ W 4. The derivative of the term PRP with respect to r ij remains ∂ PRP ∂ r ij = ∂ P ∂ r ij RP + P ∂ R ∂ r ij P + PR ∂ P ∂ r ij, and the expectation of its second derivative with respect to r ij is unchanged.
Whether the above approach can be extended to non-additive cases involving quantitative parsimony (for example, postulating the existence of unseen planets to explain an observed perturbation of an orbit) is unclear.[23] There is no inconsistency in the coexistence of these two families of principles, for they are not in direct conflict with each other.
Asymptotic stability proof is conducted with Lyapunov argument for both noise-free and additive noises cases.
