A set of fast real transforms including the well known Hartley transform is fully investigated. Mixed radix splitting properties of Hartley-type transforms are examined in detail. The matrix algebras diagonalized by the Hartley-type matrices are expressed in terms of circulant and (−1)-circulant matrices. © 2002 Elsevier Science Inc. All rights reserved.

2;3 2;6 2;9 2;ll 3;l 3;3 3;5 13 (6) 13 (7) 26 (8) 38 ( 1 1 ) 63 (15) 5 1 112) 8 (6) 1 (1) 2 (1) 2 (1) 2 (1) 1 (1) 10 0) 2 (2) 6 (2) 1 (1) 4 (1) 7(l) 43 (8) 7 (5) 3 (1) 9 (6) 14 (8) 17 (6) 15 (4) 1 (1) 1 (1) 2 (2) l(1) 1 (1) 1 (1) 2 (1) TOTAL (

Epidemiology and pathogenesis in urinary stones diagnosed in 184 patients were studied. Mean age was 38.3 years. Male to female ratio was 2.5:1. Stones were predominantly of mixed type: calcium oxalate was the commonest compound. Anatomical distribution of urinary stones was 67.4% renal, 12.5% ureteric and 14.6% bladder. Recurrence rate following previous surgical removal was 15.0%. Bacteria we...

For one space dimension, the phenomenological theory of sedimentation of flocculated suspensions yields a model that consists of an initial-boundary value problem for a second order partial differential equation of mixed hyperbolic–parabolic type. Due to the mixed hyperbolic-parabolic nature of the model, its solutions may be discontinuous and difficulties arise if one tries to construct these ...

We give counterexamples to two conjectures in \Bill Jackson, Some remarks on arc-connectivity, vertex splitting, and orientation in graphs and digraphs, Journal of Graph Theory, 12(3):429{436, 1988" concerning orientations of mixed graphs and splitting oo in digraphs, and prove the rst conjecture in the (di-) Eulerian case(s). Beside that we solve the degree constrained directed augmentation pr...