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m 3 and m 4 be two means such that m 3 < m < m 4. (3.14).
Let m 1 and m 2 be two means such that m 1 < I p < m 2 (5.1).
"Let m1 and m2 be two means such that m1 < m p < m2 for some p", it should be understood in the following sense, "Let p be a real number and assume that there exist two means m1 := m1(p) and m2 := m2(p) satisfying that m1 < m p < m2".
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Every mean m satisfies m ∗ ∗ : = ( m ∗ ) ∗ = m, and if m 1 and m 2 are two means such that m 1 < m 2 then m 1 ∗ > m 2 ∗.
Corollary 3.2 Let m 1 and m 2 be two homogeneous means such that m 1 π r = m 2 π r for a certain r ∈ ] 0, 1 [.
1) Calculation of F kk Let x 1 and x 2 be two zero-mean Gaussian variables such that σ x 1 2 = σ x 2 2 = σ x 2 a n d E x 1 x 2 = ρ Therefore, F kk a ki, b ki, a km, b km = E f a ki x k n + b ki f a km x k n + b km ρ = σ x 2. Using Price's theorem we have: E ∂ 2 f a ki x 1 + b ki f a km x 2 + b km ∂ x 1 ∂ x 2 = ∂ E f a ki x 1 + b ki f w km x 2 + b km ∂ ρ.
"Backfilling", or re-burying excavated sites with sand, is one such means.
Theorem 2.3 Let m 1 and m 2 be two nontrivial stable symmetric monotone means such that m 1 ≤ m 2 (resp. m 2 ≤ m 1 ).
When p could take either value, 1.0 or zero, in all 5 VI schedules (this happened in 7 of 36 rat × epoch observations), p was invariably estimated to be zero, because under such assumption the mean estimate of b for these rats (0.54 resp/sec) was closer to the mean estimate of b for other rats and epochs (0.42 resp/sec) than to the estimates of w for other rats and epochs (2.28 resp/sec).
Iran may be one such.
While adhesion of the yeast to exterior of the fly is one possible means of such transport, our results suggest that the spores may be delivered in frass deposited at the same time as the eggs.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com