Sentence examples for functions of solutions from inspiring English sources

(4) The Nagumo condition in this paper ensures that the integral inequality (2.13) is true and essentially ensures that the derivative functions of solutions of the considered problems are bounded.

The Nagumo condition in this paper ensures that the integral inequality (2.13) is true and essentially ensures that the derivative functions of solutions of the considered problems are bounded.

Solution A is said to dominate solution B if both of the following 2 conditions are satisfied: i) f i A ≥ f i B (∀ i ∈1 … M ), where f i A and f i B are the i-th objective functions of solutions A and B, respectively, and M is the number of objective functions; ii) f i A ≠ f i B (∃ i ∈1 … M).

Using the solubility data, the partial molar thermodynamic functions of solution, enthalpy and entropy, were calculated.

The mean diameter and coefficient of variation were modeled by polynomial response surfaces as functions of solution concentration and voltage at each collector distance.

From the ILs solubility dependence on temperature, the standard molar thermodynamic functions of solution, namely Gibbs energy, enthalpy and entropy at infinite dilution, were determined.

Similarities between the sample problems and the problem of interest are explored by assuming that the liquid volume fraction and microstructure features are functions of solution features extracted from the solution of the computationally efficient model.

Of particular mathematical interest is a term that is a polynomial function of solutions and their partial derivatives and this polynomial function has degree three.

Experiments were carried out as a function of solution pH, solute concentration, and temperature (5 45 °C).

In addition, mixing capability was evaluated as a function of solution viscosity, total solution volume, and mechanism of stirring.

Batch experiments were carried out as a function of solution pH, adsorption time, Pb II) concentration and temperature.