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Note that the form t given by (4.31) is well defined since the inner product (langle u^{prime}, vrangle) is independent of the choice of the vector (u^{prime}inmathcal{T} u)) by Lemma 4.4.
Customization is planned to increase the value of an item since a customised product is well defined according to customer's needs.
Uncertainty in the sepiolite solubility product is well defined at temperatures less than 100°C, with log Ksp = 24 (± 0.3) at 95°C (Mg4Si6O15(OH 2·4H2O + 8H+ = 4 Mg2+ + 6SiO2 aq) + 11H2O).[42] This translates to less than 10% uncertainty.
Since past research has shown that research results may be difficult to compare across studies when the system under investigation is not well defined, this paper develops a product design theory that defines the required characteristics of and testable design propositions for an smGSS as derived from existing theory and empirical investigations.
Keys to Success: HPI realizes that in order to be successful, certain factors, or "keys to success," must be followed through, and followed through well, such as hosting sales and promotions, having a good product selection to choose from, servicing products sold, a well defined knowledge of the industry, store location, reputation, and advertising.
The complex bivariate q-Balázs-Szabados operators of the tensor product kind are well defined and linear, and these operators are analytic for all n ≥ n 0, m ≥ m 0, | z 1 | ≤ r 1 < [ n 0 ] q 1 1 − β and | z 2 | ≤ r 2 < [ m 0 ] q 2 1 − β.
Historically, the relationship of product quality to product attributes has not been well defined or understood.
The influence of temperature in the products distribution was well defined in Fig. 10 as the selectivity to iso-heptanes decreased as the conversion increased.
These multiple breakdown products are not well defined, but it appears that IgE antibodies can bind to the side chains, to the β-lactam ring or the whole molecule.
First, we prove the functions to be well defined for all α > 0. The product ∏ j = 0 n − 1 ( q 2 + ( α + j ) 2 ) is continuous and strictly increasing as a function of q > 0. It tends to ∏ j = 0 n − 1 ( α + j ) 2 < ∏ j = 0 n − 1 ( 1 + α + j ) 2 as q → 0 and to +∞ as q → + ∞.
Fine chemicals are products of high and well defined purity which are manufactured in relatively small amounts and sold at relatively high price.
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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