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The first was the lack of data concerning the recurrence of UBC after treatment.
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Before stating the quadratic recurrence formula for the Apostol-Bernoulli polynomials, we begin with a summation formula concerning the quadratic recurrence of the Apostol-Bernoulli polynomials.
In order to give the quadratic recurrence formula for the Apostol-Euler polynomials, it is routine to present a summation formula concerning the quadratic recurrence of the Apostol-Euler polynomials.
As in the proof of Theorem 3.4, we need the following summation formula concerning the quadratic recurrence of mixed Apostol-Bernoulli and Apostol-Euler polynomials.
Concerning the lower recurrence rate of diarrhea in the dogs enrolled in our study, it is pertinent that we included also dogs that had received only one successful tylosin course due to recurrent diarrhea of unknown origin, in contrast to previous studies [ 1, 2], which consisted of dogs receiving several tylosin courses and had a repeated response.
Concerning the isolated local recurrence of breast cancer, the dependence of the hazard function after the ILRR on the sojourn time is analysed.
There were no significant differences between the mastoid exclusion and obliteration groups concerning the rate of recurrence, residual disease, and infection (P = 0.213) (Table 5).
End points concerning the resolution and recurrence of diarrhea need a precise definition of diarrhea and quantitative measurement of stool volume and frequency, which may be difficult to obtain.
Concerning the time of the recurrence of adenomas, the impact of other variables will be explorative controlled with the Cox proportional hazard model [ 37].
Concerning the rates of symptomatic recurrence and syndromic recurrence of manic or depressive episodes according to our definition, the two groups were comparable and there were no significant differences between the groups (Table 2).
The present analysis concerns the local recurrence rates for the 122 lumpectomy patients who did not receive breast irradiation.
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