Sentence examples for a unique determination from inspiring English sources

Second, it must not be assumed that the interpretation of theoretical terms results in a unique determination of the extension of these terms.

Using the obtained result we show that for a unique determination of the operator it is sufficient to specify the nodal points only on a part of the interval slightly exceeding its half.

Further, using the obtained result in Section 2 and developing the idea of the works [25, 27] we prove that for a unique determination of L it is sufficient to specify the set of nodal points only on ([b,1]) with (b<1/2).

Retinal information "directly" specifies the 3D affine properties of the distal object (such as the parallelism of local surface patches or the relative-distance intervals in parallel directions), but it does not allow a unique determination of its Euclidean metric properties, such as slant [7] (see Figure 1).

Even if we would know (or estimate) the maintenance demand this would not lead to a unique determination of unknown flux values as there are futile routes and pathways with different ATP yields (e.g. ubiquinol oxidase vs. cytochrome oxidase).

Let (U 1, V 1) T,…, (U n, V n ) T be a sequence of independent identically distributed random vectors with n > 2. One assumes any two observations to give a unique determination of β in the linear regression of V against U almost surely.

Some of these problems can be attenuated by experimental measurements or previous knowledge of certain metabolic fluxes, but these are rarely able to turn the system into a determined one, to allow the unique determination of all fluxes in the model.

It also implies unique determination of a potential from the fixed energy scattering amplitude in two dimensions.

The use of a triangular cell system enables unique determination of the linearized vector field in each cell and enables analytical identification of the critical line within this field.

The following theorem is our main result which concerns the unique determination of the operator from a twin-dense nodal subset and a partial spectrum.

Each of those studies represents a unique structure determination, even though the structures are all highly similar to each other.