The phrase "a characterization on a" is not correct in standard written English.
It is typically used incorrectly; the correct preposition should be "of" instead of "on."
Example: "The author provides a characterization of a complex character in the novel."
Alternatives: "a description of a" or "an analysis of a".
Theorem 3.3 gives a characterization on a pair of biorthogonal Riesz wavelet bases for Lebesgue spaces.
Also, we give a characterization on a Toeplitz operator for which the orthogonal complement of its kernel is generated by certain inner functions.
If one uses the 2-D Fourier transform in the solution of the coupled-mode equations, the computation power required for performing such a characterization on a personal computer is prohibitively large.
This fits with a characterization on a teacher report (Bristol Social Adjustment Guide) of children from the Edinburgh cohort as significantly 'under-reactive' at 7 to 10 years of age compared with unaffected children.
To make sense of interpretations on which the quantifiers are taken to range over a universal domain, one may adopt a higher-order characterization on which an interpretation corresponds to the value of a second-order variable, $I$, which is taken to apply to ordered pairs of certain kinds.
In this work, a systematic study of physical characterization on a series of commercial polyolefinic thermoplastic elastomers (TPEs), is reported.
The study described in this article aims at explaining the raw material variability of an API using extensive material characterization on a restricted number of representative batches using multivariate data analysis.
In summary, these genomic data and preliminary functional characterization on a short list of metastasis candidates encourage their enlistment into in-depth functional, clinicopathological and mechanistic studies.
A careful characterization on a case-by-case basis is needed to avoid errors coming from the apparently different behavior of nanoparticles due to the use of unknown stabilizing agents.
Due to the multiple rounds of PCR, and the numerous gels and successive sequencing needed to determine the entire pool of ESR1 variants in each subject, we preformed a complete transcript ESR1 characterization on a restricted set of cases that was available when the experiments were initiated.
