The phrase "analytic conditions" is correct and usable in written English.
It can be used in contexts related to analysis, particularly in fields like mathematics, statistics, or philosophy, where specific conditions for analysis are discussed.
Example: "The study was conducted under strict analytic conditions to ensure the validity of the results."
Alternatives: "analytical criteria" or "evaluation parameters".
Analytic conditions of GC. Figure S1.
Recent mathematical results on block-sparsity provide analytic conditions for signal reconstruction, which have been discussed to support our experimental results.
We analyse the stability of the resulting switched system and develop analytic conditions which reduce the complexity of the stability problem.
Criteria previously developed for non-isothermal reactions are applied to this case to develop analytic conditions which ensure uniqueness of steady states.
Analytic conditions for existence and stability of synchronization regimes, and analytic expressions for their stable amplitudes and period corrections are derived using the Poincaré theorem on existence of periodic solutions in autonomous quasi-linear systems.
(Analytic conditions: column : ACE® 100 Å C18; 150 mm × 4.6 mm, 3 μm particle size. Gradient elution: A) H2O, 0.1% TFA; B) acetonitrile, 0.1% TFA; UV detection at 220 nm; flow: 1 mL/min; 0-2 misocratictic 5% B, 5-35% B linear gradient 20 min, 35-5% B linear gradient 2 min.
The detection limit of this technique was 15.3 pmol/mL under this analytic condition.
The question now is what geometric condition on (Omega ) insures that we have the analytic condition (mu _{gamma, s}(Omega )
This theorem is, therefore, the stunning equivalence of the geometric condition that (partial Omega ) has finite type and the analytic condition that (35) holds for some (epsilon >0).
The presented approach leads to obtain an analytic condition which allows all the singular geometries of these structures to be determined.
Finally, numerical work indicates that resonant phenomenon exists in rocking, slow and fast rolling of a semi-linear elastic membrane subject to a specified analytic condition.
