How To Use Null space In A Sentence

The null space of the stoichiometric matrix that describes the topology of metabolic networks and that contains the steady-state flux distributions has been analyzed in detail.
A special smooth filtering operator is used to eliminate the pseudo - static null space phenomenon.
Metabolic pools are linear combinations of individual metabolite concentrations that do not change over time and are contained in the left null space of the stoichiometric matrix.
A novel face recognition method called null space discriminant projection embedding(NDPE) is proposed.
First, by employing the DCT instead of the "pixel grouping" and redefining the within class scatter matrix, a new null space method is given.

The research result shows that the chaotic self-motion of a redundant robot is influenced by the initial conditions and has a direct relation with its victors in the null space.
This paper discusses existence and formula of some { 2 } - inverses, which have appointed range null space.
First, by redefining the within class scatter matrix and the between class scatter matrix, a new null space method was presented.
The optimal feature vectors are extracted from the null space of intrapersonal locality preserving difference scatter matrix, which avoids the singularity and the SSS problem is solved.