Franklin's identity generalizes Euler's and states that the number of partitions n with j different parts divisible by r equals repeated at least times. In this article, we give a refinement when j=1. We prove j=1, r=2 for fixed perimeter, i.e., largest hook. also derive Beck-type perimeter: excess in all into odd perimeter M over distinct whose set even is singleton. provide analytic combinato...

To perform a systematic review of the utility of the Beck Depression Inventory for detecting depression in medical settings, this article focuses on the revised version of the scale (Beck Depression Inventory-II), which was reformulated according to the DSM-IV criteria for major depression. We examined relevant investigations with the Beck Depression Inventory-II for measuring depression in med...

background: diabetes mellitus has a strong association with the presence of depression. psychiatric morbidity and especially depression are believed to be important aspects of diabetes influencing upon treatment course and prognosis. to determine the prevalence of depression in adult diabetic populations and compare nondiabetic population, we performed the current study. methods : three hundred...

In the late sixties F. W. LAWVERE showed that the logical connectives and quantifiers were examples of the categorical notion of adjointness. In [9] and [lo] he amplified this notion by a more thorough discussion of the structure of a hyperdoctrine, which had much of the flavour of intuitionistic logic with equality. In this eontext it was natural to “stratify” formulae and proofs according to ...

Rapid response 1935/453 http://rsta.royalsocietypublishing.org/letters/submit/roypta;369/ Respond to this article Subject collections (55 articles) statistical physics • collections Articles on similar topics can be found in the following Email alerting service here in the box at the top right-hand corner of the article or click Receive free email alerts when new articles cite this article sig...

background: depression is a kind of sorrow that decreases the level of juiciness. most studies have maintained that psy­chological risk factors have the most profound effect on the development of postnatal depression (pnd). we compared the postnatal depression among the women with elective caesarean and vaginal delivery.  methods: this cross- sectional study was carried out on 120 women 1-4 mon...

background: beck scale for suicidal ideation (bssi) is a widely used instrument to assess suicidality. however, there is only limited information about the psychometric characteristics of bssi in the persian language. in this study, we investigated the validity, reliability and factor structure of the bssi in the general population of tehran.   methods : initially, 900 questionnaire packages we...