Exact(4)
He nods in my direction, we get talking and he tells me that I should visit the place in South Dakota where Sitting Bull was born.
Using equation (21) in the reverse direction, we get the convex combinations equality sum_{i=1}^{n+1} lambda_{i}B_{i} =sum_{i=1}^{n+1} alpha_{i}A_{i} (22) with the coefficient connections (alpha_{i}=sum_{ineq j=1}^{n+1}lambda_{j}/n) from which we may conclude that (alpha_{i}leq1/n).
In other words, even if some of the sets (E_i^pm ) have a small asymmetry (or even zero asymmetry as in Fig. 4), at least one of them must have a sufficiently large asymmetry, compared to the one of E. To convince oneself that indeed this is the case, observe that if we symmetrize the set of the previous example in the horizontal direction we get a larger asymmetry, see Fig. 5.
Using the RNA HYBRID convention to number the first RNA 5′→3′ and the second in the reverse direction, we get the following basic recursion for H i, j): (1) Here, Eloop i, j, p, q) indicates the free energy of the loop including base pairs (i, j) and (p, q).
Similar(56)
"No disrespect to them, but if we want to start taking steps forward and going in the right direction, we got to win games versus teams like the Nets".
It has to do with the direction we got from the Legislature and the budget cutting process".
Feige mentioned Taylor's work on the series Mad Men, Boardwalk Empire and Game of Thrones as reasons for his hiring, saying "With Alan's direction we got a few more layers of patina, of texture, of reality into our golden realm".
The village is tiny but all the directions we get keep leading to dead ends.
By taking a default step size α along the search directions, we get the new iteration point ( x +, s + ) according to x + : = x + α Δ x and s + : = s + α Δ s. (53).
Integrating QRaman over all directions, we get the number density nRaman of Raman scattering processes: Here we used the second line of Eq. (1), so the approximation in Eq. (2) is not necessary.
"We'll be pointing in the wrong direction when we get there," said Russell.
Write better and faster with AI suggestions while staying true to your unique style.
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