Sentence examples for without the assumptions from inspiring English sources
Our results are established without the assumptions of continuity, affinity or the P-property.
This paper is concerned with the state estimation problem for a class of artificial neural networks (ANNs) without the assumptions of monotonicity or differentiability of the activation functions.
The proposed two-stage SSID method can estimate unmeasured disturbances without the assumptions that the conventional Kalman filtering technique must make.
The known results appearing in [19 24] are generalized to the impulsive stochastic systems settings and the case of infinite delay without the assumptions of compactness.
Theorem 2.3 was proved for the usual metric space by the author in [15] without the assumptions that is continuous and is compact.
This article proposes a new approximation algorithm for solving a class of fractional programming problems (P) without the assumptions on quasi-concavity or low-rank.
Steve Sachs, director of trading at Rydex Investments, said investors were now facing an uncertain outlook without the assumption of a Fed rate cut.
This fails without the assumption of Z-stability.
In the case p = 2 without the assumption (f3), the above theorems may not be true.
We derive the mass profiles without the assumption of analytical models.
Then we will establish Theorem 1.3 by proving the following theorem without the assumption (1.10).
