Relations between children's imaginary companion status and their engagement in private speech during free play were investigated in a socially diverse sample of 5-year-olds (N=148). Controlling for socioeconomic status, receptive verbal ability, total number of utterances, and duration of observation, there was a main effect of imaginary companion status on type of private speech. Children who...

The recent detection by the BICEP2 collaboration of a high level of tensor modes seems to exclude the Starobinsky model of inflation. In this paper we show that this conclusion can be avoided: one can embed the Starobinsky model in supergravity and identify the inflaton field with the imaginary (instead of the real) part of the chiral scalaron multiplet in its formulation. Once coupled to matte...

some of the islamic philosophers such as farabi and mulla sadra supporting the belief in sacred and divine revelation, began to give a philosophical explanation in the field. in philosophical explanation of revelation, revealed facts can be divided into two: general and particular, perceived respectively by the prophet`s intellect and imagination. both the philosophers when explaining divine re...

Presently, factorials of real negative numbers and imaginary numbers, except for zero and negative integers are interpolated using the Euler's gamma function. In the present paper, the concept of factorials has been generalised as applicable to real and imaginary numbers, and multifactorials. New functions based on Euler's factorial function have been proposed for the factorials of real negativ...