Sentence examples for particular for p from inspiring English sources

In particular, for p = 2, there is equality.

In particular, for p = 1, this operator is studied by Noor [3].

In particular, for (p =2), it reduces to the regularized long wave (RLW) equation.

In particular, for p ≠ 0 the power logarithmic mean L p is ( A, A ) p -stabilizable.

In particular, for p = + ∞, there exists a constant C > 0 such that ∥ q ∥ ∞ ≤ C ∥ q ∥, ∀ q ∈ E, (3).

In particular for p = 0, Theorem 5.7 coincides with Corollary 5.3 while Theorem 5.8 is reduced to Corollary 4.7.

In particular, for proteins p 1 and p 2 with annotations A (p 1) and A (p 2) respectively, the semantic similarity of their GO annotations is defined as: where p (a ) is the fraction of annotated proteins with annotation a in the organism (Lord et al., 2003 ; Song and Singh, 2009 ).

Promzea accurately identified these binding sites, in particular those for P, using only a small number of input genes from these pathways.

In particular, for a p-seminormed space (X, ||·||) (||·|| is a p-seminorm for some p ∈ (0, 1], especially, a norm when p = 1) and S ⊂ X γ,U), S is equicontinuous on x if and only if sup f ∈ S sup ∥ x ∥ ≤ 1 ∣ f ( x ) ∣ < + ∞.

Certain treatments of comorbid illnesses may interfere with chemotherapy, in particular for cytochrome P-450 enzyme or conjugation reactions.

In Figure  2, the QQ plot of the ANOVA shows an obvious deviation from the expected line, in particular for small p-values.