The title compound, C21H21N3O2, adopts a J-shaped conformation which appears to be at least partially directed by a weak intra-molecular C-H⋯N hydrogen bond. In the crystal, mol-ecules are linked by N-H⋯O hydrogen bonds into R 2 (2)(8) and R 2 (2)(14) cyclic dimers, which form a chain running parallel to the b axis.

In this paper, by using parallel computing along with recursion, we describe a reliable symbolic computational algorithm for inverting cyclic pentadiagonal matrices. The algorithm is implemented in MAPLE. Two other symbolic algorithms are developed and the computational costs for all algorithms are given. An example is presented for the sake of illustration. © 2009 Elsevier Ltd. All rights rese...

The Merino-Welsh conjecture asserts that the number of spanning trees of a graph is no greater than the maximum of the numbers of totally cyclic orientations and acyclic orientations of that graph. We prove this conjecture for the class of series-parallel graphs.

Non-commutative logic, which is an uniication of commutative linear logic and cyclic linear logic, is extended to all linear connectives: additives, exponentials and constants. We give two equivalent versions of the sequent calculus | directly with the structure of series-parallel order varieties, and with their presentations as partial orders |, phase semantics and a cut elimination theorem.

The solution of a general block tridiagonal linear system by a cyclic odd-even reduction algorithm is considered. Under conditions of diagonal dominance, norms describing the off-diagonal blocks relative to the diagonal blocks decrease quadratically with each reduction. This allows early termination of the reduction when an approximate solution is desired. The algorithm is well-suited for paral...

In this paper, we describe a reliable symbolic computational algorithm for inverting general cyclic heptadiagonal matrices by using parallel computing along with recursion. The algorithm is implementable to the Computer Algebra System(CAS) such as MAPLE, MATLAB and MATHEMATICA. An example is presented for the sake of illustration.

BACKGROUND Pedicle screw fixation to stabilize lumbar spinal fusion has become the gold standard for posterior stabilization. A significant percentage of surgical candidates are classified as obese or morbidly obese. For these patients, the depth of the incisions and soft tissue makes it extremely difficult to insert pedicle screws along the pedicle axis. As such, the pedicle screws can only be...

This paper presents an adaptation of the Block Cyclic Reduction (BCR) algorithm for a multi-vector processor. The main bottleneck of BCR lies in the solution of linear systems whose coefficient matrix is the product of tridiagonal matrices. This bottleneck is handled by expressing the rational function corresponding to the inverse of this product as a sum of elementary fractions. As a result th...

Cyclic steps are widespread on submarine slopes of many modern insular volcanoes. This paper provides the first detailed description and interpretation sedimentary structures depositional architecture cyclic-step deposits such bedforms formed slope an ancient volcano. The partially cyclic preserved in a 67 m thick coset 1 to 12 cobble-based units middle Miocene volcaniclastics, exposed along cl...