Sentence examples for most two solutions from inspiring English sources

Then problem (1.1) has at most two solutions.

(a) For any λ > 0, (1.3) has at most two solutions.

Then there are at most two s satisfying (2.4) for some λ 0. It follows that (1.3) has at most two solutions.

By the fundamental theorem of algebra, we know that the equation Φ A (z)=z has at most two solutions of complex for (A in text {SL}(2,mathbb {R})).

Then (1.3) has exactly one solution for λ ∈ ( 0, λ ∗ ], and no solution for λ ∈ . □. Case 5: − 1 3 ≤ p < 0, 1 < q < + ∞. Assume that − 1 3 ≤ p < 0, 1 < q < + ∞. Then the following conclusions hold. (a) For any λ > 0, (1.3) has at most two solutions.

Further analytical analysis of the steady-state response of the Fussenegger model proves that the mapping between the input of CC signal and the output of CEA is either one-to-one or one-to-two and thus there exist at most two solutions of the output signal at equilibrium (Additional file 1: Supporting Information).

For all higher order reactions at most three solutions exist.

When the same reaction is carried out isothermally in a slab, at most three solutions exist.

For the second-order IDEs, there exist at most four solutions, but all the obtained solutions may not be acceptable.

Based on the definition of power index capacity in (17), the above equation will have at most three solutions.

For example, for a first-order reaction five solutions exist for some parameters in a catalytic slab, but at most three solutions exist for either a cylindrical or a spherical pellet.