Sentence examples for several variables by from inspiring English sources

We generalize this result to an ideal of polynomials in several variables by introducing the characteristic spaces of the ideal.

Moreover, a comparison theorem gives an estimate for functions of several variables by means of functions of one variable which are solutions of ordinary differential equations or inequalities.

The first type allows one to estimate a function of several variables by means of an another function of several variables, while the second type, the so-called comparison theorems give estimates for functions of several variables by means of functions of one variable, which are solutions of ordinary differential equations or inequalities.

Two nationally representative surveys within pediatric care from the United States have compared parent satisfaction or experiences with several variables by means of multivariate analysis [ 10, 11].

This perspective can capture the dependencies between several variables by solving a convolution integral and specifying a suitable covariance function, which in turn includes the cross and auto correlations among related variables.

Data was collected on several variables by questionnaire and during the examination, including: age, race/ethnicity, education (available for those 20 years and older), poverty/income ratio (PIR (the ratio of self-reported family income to the family's appropriate threshold value), grouped into quartiles), length of time in the U.S. for those not born in the country, and BMI.

This function is, in fact, a special case of the generalized Lauricella series in several variables, introduced by Srivastava and Daoust [8] and Srivastava and Karlsson [9].

The importance of factorial design in the simultaneous optimization of several variables studied by GFAAS was confirmed, for it involves fewer experiments and hence, lower costs, greater speed and higher efficiency.

The incidence of MACE was related to several variables identified by simple Cox regression (table 4).

There were several variables reported by the device based on the measured displacement of the cornea apex.

First, it permits the time series data to be disaggregated into several variables represented by sine waves, each with its own frequency, phase and amplitude.