In this paper, we present the scattering of plane waves through two junctions with step-down cascading discontinuities. The solutions in form trapped modes corresponding to discrete eigen values are also presented. We illustrate matching continuity pressure and velocity at edges, conservation energy, convergence/error reflection, reflection transmission incident wave that go wider region. discu...

The number of down-steps between pairs up-steps in $k_t$-Dyck paths, a generalization Dyck paths consisting steps $\{(1, k), (1, -1)\}$ such that the path stays (weakly) above line $y=-t$, is studied. Results are proved bijectively and by means generating functions, lead to several interesting identities as well links other combinatorial structures. In particular, there connection perforation p...

These experiments examined the effects of pre-test intra dorsal hippocampus (intra-CA1) administration of GABAA receptor agonist and antagonist, muscimol and bicuculline respectively, on state-dependent learning induced by lithium. Male NMRI mice were trained in a one-trial step-down inhibitory avoidance task, and immediately after training they received IP injections of either saline (10 mL/kg...

In this paper, sliding mode control (SMC) for a bidirectional buck/boost DC-DC converter (BDC) with constant frequency in continuous conduction mode (CCM) is discussed. Since the converter is a high-order converter, the reduced-order sliding manifold is exploited. Because of right-half-plan zero (RHPZ) in the converter’s duty ratio to output voltage transfer function, sliding mode current...