Sentence examples for a non-constant term from inspiring English sources
In this article we discuss some new generalized nonlinear Gronwall-Bellman-Type integral inequalities with two variables, which include a non-constant term outside the integrals.
The variable z and the two parameters of the distribution, α and β, can be matched with the terms in Eq. (11) and the density integrated out, leaving the integral proportional to a single non-constant term: begin{aligned} I propto c^{-frac{n-1}{2}} = left[ frac{(n+1)left(x^{2} + sum_{i=1}^{n} {x_{i}}^{2}right -left(x+sum_{i=1}^{2}right -left)^{2}}{n+1} right]^{-frac{n-1}{2}}. end{aligned} (14).
In particular, how it plays a role in compensating for a non-constant frequency response.
That is, complex exponentials are more generally allowed to have a non-constant exponential amplitude envelope.
This study was performed using a non-constant ratio design.
For each case 100 simulations were made with both a constant and a non-constant demographic function.
These partials create a non-zero constant term in the polynomial, so when the sound decays to 0, the polynomial output decays to some (possibly large) non-zero value.
A similar regression restricted to the period 1985–2000 fails to produce a model with any non-constant significant terms.
The HMNL and EMNL models indicate non-constant error terms, whilst the MMNL and LCMNL models indicate variation in observed preferences across the survey respondents.
Due to this non-constant rotational speed, terms with time-dependent coefficients appear in the equation of motion, which results in parametric instability.
