Quantitative recurrence indicators are defined by measuring the first entrance time of the orbit of a point x in a decreasing sequence of neighborhoods of another point y. It is proved that these recurrence indicators are a.e. greater or equal to the local dimension at y, then these recurrence indicators can be used to have a numerical upper bound on the local dimension of an invariant measure.

Background and Purpose: Patients with Bipolar I Disorder recurrence experiences mood variation between manic and depression during the time. Hence, that is need to the longitudinal study on Bipolar Disorder patients. This study aims to evaluate the effective factors on Bipolar I Disorder frequent recurrence in 5 years longitudinal study using generalized estimation equations (GEE) m...

the postgastrectomy recurrence rate is as high as 30-65%, with 5-year overall survival rates of <20%. local recurrence is very common which occurs in 38-45% of cases. the most common sites of locoregional recurrence are the gastric remnant at the anastomosis, the gastric bed, and the regional nodes. the recurrence may occur as early and late events after gastrectomy. most recurrences are early,...

We introduce a matricial Toeplitz transform and prove that the Toeplitz transform of a second order recurrence sequence is another second order recurrence sequence. We investigate the injectivity of this transform and show how this distinguishes the Fibonacci sequence among other recurrence sequences. We then obtain new Fibonacci identities as an application of our transform.

background : meningiomas are common benign tumors of the central nervous system. patients with meningiomas achieve postoperative optimal functional recovery, but there is a probability of tumor recurrence months or years after surgical resection. this study aims to evaluate the prevalence of recurrent meningioma and the correlation between tumor recurrence and certain factors. materials and met...

patients and methods in this cross-sectional study, data of 584 female patients (mean age of 45.9 years) referred to breast cancer research center (tehran, iran) were analyzed anonymously. spss and norm softwares (2.03) were used for data transformation, running and interpretation of cca and replacing missing values, respectively. data were obtained from breast cancer research center, tehran, i...

background: despite developments in surgical treatment, radiation therapy, and chemotherapy protocols, tumor recurrence and metastasis are still major problems in breast cancer management. the aim of the present report was to review and compare the performance of pet/ct with some of the conventional imaging modalities in detection of breast cancer recurrence. methods: a literature search was pe...

conclusions considering the high rates of relapse, more attention should be paid to reasons for relapse. it seems necessary that both clinical and psychological approaches would be undertaken simultaneously. background relapse prevention is a medical intervention designed for educating cognitive and behavioral skills to avoid continued drug abuse and relapse. objectives this study examined high...