Sentence examples for simplest characteristic from inspiring English sources

The simplest characteristic, which is volume fraction of each instance, can be calculated as proportion of the area or volume covered by one of the binary values.

Therefore we have λ 1 2 p + 1 ≡ λ 1 mod p. So, by Proposition 3, the polynomial with roots λ 1 2 p + 1 and λ 2 is in the same congruence class as the simplest characteristic polynomial ν 2 − p ν + ( p − 1 ).

It should be noted that all the above-mentioned works, unlike equation (1.1), consider the operator-differential equations with a simple characteristic.

Also, for wave propagation in the direction of symmetry, some wave types revert to pure modes, leading to a simpler characteristic equation of lower order.

We use a simple characteristic based on correlograms: a half-value distance lag, hI = 0.5, a distance where Moran's I equals 0.5.

We introduce a simple characteristic based on spatial correlograms: a half-value distance lag, hI = 0.5 a distance where Moran's I drops below 0.5.

Interestingly enough, this smaller and simpler characteristic determinant can also be obtained by using the Lagrange multipliers formalism in conjunction with Lagrange's equations.

Assuming that r is the unique positive and simple characteristic root and is smaller than the module of all complex ones, they proved that the equation has exactly a solution f ( x ) = r x depending continuously on all coefficients.

Following directly the idea from [19] and referring to [21, 22], in this paper we first get the general iterates f m of (1.3) with simple characteristic roots, where m is a positive integer.

As the average frequency can be directly interpreted in terms of the physical phenomena underlying the pressure fluctuations, the average frequency is suggested as a first, simple, characteristic of fluidized bed dynamics.

For a wave to propagate in the direction of higher symmetry, some wave types revert to pure modes and lead to a simple characteristic equation of lower order, and consequently, the loss of pure wave modes for general propagation direction in such cases.