Effects of race of examiner and type of reinforcement on the intelligence test performance of lower-class black children

This study examined the effects of race of examiner and type of reinforcement upon the WISC-R performance of lower-class black children. A total of 120 black males were selected and assigned to either a white or black examiner to form two groups. Within each group, children were given no reinforcement, tangible reinforcement, traditional social reinforcement, or culturally relevant social reinforcement after each correct response. Children given tangible rewards, regardless of race of examiner, obtained significantly higher scores than did children given no reinforcement or children given traditional social reinforcement. Also, children given culturally relevant social reinforcement by a black examiner obtained significantly higher scores than did children given culturally relevant reinforcement by the white examiner.     

Theory for incompressible fluid turbulence

The functional integral representation for the space-time Hopf characteristic functional associated with boundary-free incompressible fluid turbulence is evaluated accurately to order R^-2, where R is the dimensionless Reynolds number in the theory. This work extends the results obtained previously for C-dominant turbulence to the regime of experimentally accessible large Reynolds numbers. We obtain a characteristic functional of non-Gaussian form as an asymptotically exact solution to the theory for large values of R. Two-point and three-point velocity correlation tensors of physical interest are derived from the characteristic functional.