For M to be nonconstant
, if for each e [member of] E the triplet [mathematical expression not reproducible] is at least of two different kinds [for all]x [member of] R.
This invariance of squeal propensity versus rotational velocity is likely in connection with the initial hypothesis of Coulombian friction; in fact, considering the friction coefficient constant with angular speed, also the friction force will be constant, which represents energy source of self-excited vibrations that cause the squeal, so a nonconstant
friction coefficient should be considered.
This example has a nonconstant
discontinuity in the solution and nonconstant
discontinuities in the normal and tangential components of the gradient of the solution at the irregular interface.
For example, by determining the constant component of the measured acceleration employing a low pass filter, where jerk in body axes is calculated by derivation of acceleration, then, it is integrated in order to obtain the nonconstant
component of acceleration, and, by subtracting this nonconstant
component from the measured acceleration, gravity vector is estimated.
In this problem, the Fermi velocity is chosen as a nonconstant
function which is expressed in terms of the point transformation function in our solutions; after that, solvable potentials are derived using the superpotential suggestions.
Three Neumann boundary conditions are considered, that is, the homogeneous, constant, and nonconstant
inhomogeneous boundary conditions.
Let p(z) = [[summation].sup.n.sub.j=0] [a.sub.j][z.sup.j] ([a.sub.j] [not equal to] 0, 0 [less than or equal to] j [less than or equal to] n) be a nonconstant
In other words, a temporally differentially expressed gene should show a significant nonconstant
expression pattern across time points.
Suppose that f(z) and g(z) are two nonconstant
fuzzy ideal g of a quantale [Q.sub.t] is called a fuzzy prime ideal of [Q.sub.t] if for all c,d [member of] [Q.sub.t],
A theorem of Kodaira affirms that if S is a minimal surface with no nonconstant
meromorphic functions with [b.sub.1](S) = 1, [b.sub.2](S) = 0, and containing at least one curve, S is a Hopf surface [11, Thm.
Multiproduct companies that experience economies of scope, nonlinear production technology, and nonconstant
returns to scale will find that ABC will provide less accurate cost information.