Sentence examples for if substituting from inspiring English sources

On the other hand, if, substituting with in (2.11), we have (2.14).

To reduce the rate of defluorination, we investigated if substituting hydrogen for deuterium would increase radioligand stability through a primary isotope effect.

We say that equation (1.1) satisfies the weak 〈 p, q 〉 condition if substituting the Laurent series w ( z ) = ∑ k = − q ∞ c k z k, q > 0, c − q ≠ 0 (1.2). into equation (1.1) we can determine p distinct Laurent principle parts as the form ∑ k = − q − 1 c k z k.

where b ≠ 0, c are constants, n ∈ N. Let p, q ∈ N. Suppose that Eq. (3) has a meromorphic solution w with at least one pole, we say that Eq. (3) satisfies the weak 〈 p, q 〉 condition if substituting the Laurent series w ( z ) = ∑ k = − q ∞ c k z k, q > 0, c − q ≠ 0 (4).

where b ≠ 0, c are constants, n ∈ N. Let p, q ∈ N. Suppose that Eq. (6) has a meromorphic solution w with a pole at z = 0. We say that Eq. (6) satisfies the weak 〈 p, q 〉 condition if substituting Laurent series w ( z ) = ∑ k = − q ∞ c k z k, q > 0, c − q ≠ 0 (7).

where b ≠ 0, c are constants, n ∈ N. Definition 2 Let p, q ∈ N. Suppose that Eq. (5) has a meromorphic solution w with at least one pole; then we say that Eq. (5) satisfies the weak 〈 p, q 〉 condition if substituting the Laurent series w ( z ) = ∑ k = − q ∞ c k z k, q > 0, c − q ≠ 0 (6).

Expt is the procedure which if substituted in here, gives me EXPT back.

We predict that these conserved positions would be potentially responsible for enamel disorder if substituted.

Substitution into modal contexts, we might say, is permitted only if the substituting terms are rigid designators.

(3) identically, substituting "If the Court of Criminal Appeals" for "If the Court".

Electric utilities are barred from purchasing gas if substitute fuels are available.