Your English writing platform
Discover LudwigSuggestions(2)
Exact(1)
The recovered side products of entry 2 included significant amounts of the alcohols 5 a and 6 a together with unreacted 3 a.
Similar(58)
For verification of cloned ORFs, the PCR products of the entry clones were pooled in equimolar quantities.
We provide a simple algorithm for finding the optimal upper bound for sums of products of matrix entries of the formSπ(N):="∑j1,…,j2m= 1kerj⩾πNtj1j2(1)tj3j4(2)⋯tj2m−1j2m(m) where some of the summation indices are constrained to be equal.
If any given nation does not apply the tax, an equivalent duty can be applied to their products at ports of entry.
The increasing diversity of migration is partly a product of national entry policy.
The company shrugged off the antitrust breakup of the two products, the entry of low-cost Fuji film and, until too late, digital cameras.
In these cases and for some periods, due to the relatively small number of products, the entry or exit of just one product can have an big impact on the index.
Coupling of 5 with 11 also gave a modest yield of products (Entry 6), whereas less reactive, armed 6 led to good yields of Ara4N-Kdo and Ara4N-Ko glycosides albeit with no improvement in anomeric selectivity (Entry 7).
For any (sigma,piin S_{k}), (c_{i_{1},j_{sigma(1)}},ldots,c_{i_{k},j_{sigma k)}}) and the entries in T constitute a transversal of C, whereas (c_{i_{1},j_{pi(1)}},ldots,c_{i_{k},j_{pi k)}}) and the entries in T also constitute a transversal of C. Let b be the product of the entries in T. Obviously, (b>0).
Transborder operations also indicate expertise in moving products through multiple ports of entry (e.g. transshipping).
Using these operations, any matrix can be transformed to a lower (or upper) triangular matrix, and for such matrices the determinant equals the product of the entries on the main diagonal; this provides a method to calculate the determinant of any matrix.
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