Similarly, the stability of the semi-trivial steady state solution ((0, tilde{v})) (if it exists) is determined by the principal eigenvalue, denoted by (mu_{1} (d_{1}, tilde{v})), of the following eigenvalue problem: textstylebegin{cases} d_{1}varphi_{xx}-qvarphi_{x}+ r-tilde{v})varphi+muvarphi=0, quad 0< x< L, dvarphi_{x}+ r-tilde{v}0)=0,qquad varphi+muvarphi=0
The group × group-wide LR threshold for asserting that a pair of interacting QTLs exist was determined from 1000 permutation tests.
The time scales corresponding to intrinsic oscillations, if they exist, are determined by the stability properties of the stable foci, which reflect the long term behavior of trajectories.
According to § 35a par. 1 SGB V, the number of patients and patient groups for which a therapeutically relevant additional benefit exists is to be determined as part of the benefit assessment.
Hence λ (if exists) is uniquely determined by ρ.
Substrate specificity in Ssb2 interactions, if exists, is probably determined by chaperone and substrate coexpression or by their specificity to multiprotein complexes (e.g., the RAC complex).
Curiously, the answer to the question of whether a new tech bubble existed was not determined by wealth or status, but rather age.
Therefore, even for the fertile ovulatory cycle, a gradient of fertility exists that is determined by the levels of ovarian hormones produced, independent of whether more than one ovum is produced.
Where both records existed, the date of death was determined preferentially from the SoD code.
When it was determined that differences existed among the groups, Student's t-tests were performed to determine which mean values differed, using the Bonferroni correction for multiple comparisons.
