442 research outputs found
Implementation of Inclusive Education Policy for Disabled Children in Primary Schools in Vietnam
Implementing inclusive education (IE) for children with disabilities (CWD) in primary schools is one of the essential roles of school manager to provide equal opportunities in learning and development for CDW. This paper is concerned with exploring IE implementation in primary schools in Cau Giay, Hanoi, Vietnam. IE management such as making plans, organising activities, directing, and assessing discussed related to effective implementation of IE policy in these schools indicates that IE management although is not being satisfactorily implemented in schools. The results of the study will be the bases for proposing more effective measures to manage inclusive education in primary schools in Vietnam
Sums and differences of correlated random sets
Many fundamental questions in additive number theory (such as Goldbach's
conjecture, Fermat's last theorem, and the Twin Primes conjecture) can be
expressed in the language of sum and difference sets. As a typical pair of
elements contributes one sum and two differences, we expect that for a finite set . However, in 2006 Martin and O'Bryant showed that a
positive proportion of subsets of are sum-dominant, and Zhao
later showed that this proportion converges to a positive limit as . Related problems, such as constructing explicit families of
sum-dominant sets, computing the value of the limiting proportion, and
investigating the behavior as the probability of including a given element in
to go to zero, have been analyzed extensively.
We consider many of these problems in a more general setting. Instead of just
one set , we study sums and differences of pairs of \emph{correlated} sets
. Specifically, we place each element in with
probability , while goes in with probability if
and probability if . If , we
call the pair a \emph{sum-dominant -pair}. We prove
that for any fixed in , is a
sum-dominant -pair with positive probability, and show that
this probability approaches a limit . Furthermore, we show that
the limit function is continuous. We also investigate what
happens as decays with , generalizing results of Hegarty-Miller on phase
transitions. Finally, we find the smallest sizes of MSTD pairs.Comment: Version 1.0, 19 pages. Keywords: More Sum Than Difference sets,
correlated random variables, phase transitio
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