Given the positive integers m,n, solving the well known symmetric Diophantine equation xm+kyn=zm+kwn, where k is a rational number, is a challenge. By computer calculations, we show that for all integers k from 1 to 500, the Diophantine equation x6+ky3=z6+kw3 has infinitely many nontrivial (y≠w) rational solutions. Clearly, the same result holds for positive integers k whose cube-free part is n...

BACKGROUND Numerous studies have shown that adherence to published clinical practice guidelines (CPGs) reduces disease morbidity and mortality. However, few benchmarks exist that demonstrate the rate of adherence to CPGs in patients in long-term-care facilities (LTCFs). OBJECTIVE To evaluate CPG adherence in patients in LTCFs who received consultation from pharmacists who emphasize disease st...

6-carbethoxy-5-(3'-bromophenyl)-3-aryl-2-cyclohexenones 2a-j were obtained from the1-aryl-3-(3'-bromophenyl)-2-propene-1-ones 1a-j by micheal addition of ethyl acetoacetate, followed by internal claisen condensation. reaction of 2a-j with hydrazine hydrate afforded the corresponding 6-aryl-4-(3'-bromophenyl)-3-oxo-2,3a,4,5-tetrahydro-2h-indazoles 3a-j. the structures of newly syn...

1. Inadequate presentation of the heterogeneity of clinical syndromes 2. Treatment of schizoaffective disorder as an episode diagnosis with unclear separation from schizophrenia 3. Poor reliability and low diagnostic stability of schizoaffective disorder 4. Variable definitions and discrepant treatment of catatonia across disorders in DSM-IV 5. The limited role and validity of schizophrenia sub...