Sentence examples for repeated root from inspiring English sources
Finally, the singular condition is proved to be equivalent to that when the univariate-form input output equation has a repeated root in the real number field.
There are two roots for this quadratic polynomial and definitely they join in one point on the real line for certain value of parameter K that makes discriminant equal to zero and creates a repeated root.
The characteristic equation of Eq. (17) is given by (lambda^{8}=0 ), and (lambda=0 ) has eight repeated roots.
Natural frequencies and deformation shapes of the first few flexural modes including repeated roots are examined and tabulated.
For CDD case, we have to do it is possible that some eigenvalues will be the same and repeated roots will appear in the denominator of (17).
There are three different cases to be considered, depending on whether the roots of this quadratic equation (2.5) are distinct real roots, equal real roots (repeated real roots), or complex roots (roots appear as a conjugate pair).
Here, we repeated the rooting procedure until the root was no longer located between archaebacteria and eubacteria.
This pattern was repeated for root collar diameter (RCD) and height growth.
(ii) If (R_{min}=R_{0}<1), the equation (Q(I =R_{0}) has a repeated real root which is non-negative when (B>0).
Radiographs were repeated if root apices were not clear.
