Reflection identities of harmonic sums and pole decomposition of BFKL eigenvalue

a comparison of teachers and supervisors, with respect to teacher efficacy and reflection

supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...

on direct sums of baer modules

the notion of baer modules was defined recently

Subadditivity of Eigenvalue Sums

Let f(t) be a nonnegative concave function on 0 ≤ t < ∞ with f(0) = 0, and letX,Y be n×nmatrices. Then it is known that ‖f(|X+Y |)‖1 ≤ ‖f(|X|)‖1+‖f(|Y |)‖1, where ‖ · ‖1 is the trace norm. We extend this result to all unitarily invariant norms and prove some inequalities of eigenvalue sums.

Binomial Sums and Identities

lexical decomposition awareness and its effect on delayed receptive and productive recognition and recall of vocabulary knowledge of morphologically complex english words: an iranian efl context

abstract lexical knowledge of complex english words is an important part of language skills and crucial for fluent language use (nation, 2001). the present study, thus, was an attempt to assess the role of morphological decomposition awareness as a vocabulary learning strategy on learners’ productive and receptive recall and recognition of complex english words. so 90 sophomores (female and ma...