Sentence examples for maximum negative minimum from inspiring English sources

Hence, there is no point of positive maximum (negative minimum) of the function u ( x, y ) in the interval AB.

It is well known that on the point of positive maximum (negative minimum) of the function τ ( x ) for the differential operators of fractional order, the following inequality D c, x 0 1 − α − β τ ( x ) > 0 ( D c, x 0 1 − α − β τ ( x ) < 0 ) holds.

By the Hopf principle [20], the function u ( x, y ) cannot reach its positive maximum and negative minimum on inner points of the domain  D ¯ R +.

Thus, the series (34) converges uniformly everywhere in D̅ (including the line of degeneracy (r=0)), i.e., (u_{1}) is the solution of Problem D1 from the class (C^{2}(Q_{0} cap C ( overline{Q} ) ). Besides, due to Lemma 4 and to the ellipticity of equation (2), solution (u_{1}) of Problem D1 can attain the positive maximum or negative minimum only on the bases of cylinder Q.

Then v has either a positive maximum or a negative minimum.

The bounded in (Q_{0}) solutions of equation (2) can attain either a positive maximum or a negative minimum only on the boundary ∂Q of cylinder Q. Due to the ellipticity of equation (2) in (Q_{0}) and in view of condition (cgeq0), the solutions of this equation cannot attain in (Q_{0}) neither a positive maximum nor a negative minimum [15, 16].

Figure 8 shows the binding energy width (D) between the most positive maximum and most negative minimum obtained from the first derivative Auger transition C KVV spectra recorded from FLG samples, as a function of Ar+ ion irradiation energy.

Irrespective of the magnet type, our findings show that individual magnet coils should be arranged at the local positive maxima and negative minima of the current density map and around the perimeter of the domain used to specify possible coil locations.

By means of linear extrapolation method, the valence band edges (Ev) of Y2O3 and IL could be determined by extrapolating the maximum negative slope to the minimum horizontal baseline [36].

This paper proposes a method for extracting minimum positive and maximum negative features (in terms of absolute value) for imbalanced binary classification.

Furthermore, aroundλ0, the real part contribution vanishes because the real partΔ ε gets through zero from negative minimum to positive maximum sharply.