Sentence examples for manifold condition from inspiring English sources

The largest rank is the intrinsic manifold dimension, while the number of components T is related to the manifold condition number.

Statistically, having too many ellipsoids can cause undesirable overfitting effects, and mathematically, the number of ellipsoids (if it can be determined) is closely related to the manifold condition number.

By actively estimating the disturbance and compensating its effects, the intake manifold conditions can be controlled in a decoupled fashion.

Dual-loop exhaust gas recirculation (EGR) with variable geometry turbocharger (VGT) provides a flexible architecture for achieving desired intake manifold conditions, including temperature, pressure and oxygen concentration, which are critical for advanced combustion mode control in modern engines.

Moreover, quantification could be automated to facilitate high-throughput image analysis where differential response of cells could be examined under manifold conditions.

Discrete Hilbert Transform (DHT) has been applied to estimate the wind speed with the sample data sequence selected from the data record observed by the observatory in Hong Kong in June 1989, during which the data pertain to deep valleys and sharp crests due to manifold weather conditions in this region.

Condition combines flux functions and curved boundary manifold, providing necessary condition for the convex property of the new flux function which will be constructed in formula (4.5).

Suppose that the manifold satisfies the condition (5.12).

Now, another question arises: Q.2 Does there exist a semi-Riemannian manifold realizing the condition R·R=Q S,R) which is not any one of the following?

An important subclass of Ricci-generalized pseudosymmetric manifolds is formed by the manifolds realizing the condition [54, 55] R · R = Q ( S, R ).

Homogeneous manifolds satisfy this condition, but we exhibit examples of locally homogeneous manifolds which are not critical points in dimensions ≥ 3.