C = ladder network stage capacitance E = difference operator L = ladder network stage inductance ‘ = number of ladder network stages m = voltage measurement node n = ladder network node identifier, 0 n ‘ Rt = termination resistance s = Laplace variable V t = transmission line driving signal ~ Vn = Laplace transform of the voltage at any node n x = length of transmission line min = smallest wave...

Absrracr-The low sensitivity property of lossless discrete integrator (LDI) low-pass ladder filters is shown to be preserved in lossless discrete differentiator (LDD) high-pass ladder filters 111. The exact design method for LDI ladder filters given in [Z] is further developed by introducing a set of closed-form design formulas for digital ah-pole Chebyshev transfer functions. A new technique f...

A differential poset is a partially ordered set with raising and lowering operators U and D which satisfy the commutation relation DU−UD = rI for some constant r. This notion may be generalized to deal with the case in which there exist sequences of constants {qn}n≥0 and {rn}n≥0 such that for any poset element x of rank n, DU(x) = qnUD(x)+rnx. Here, we introduce natural raising and lowering ope...

A link between matroid theory and p-branes is discussed. The Schild type action for p-branes and matroid bundle notion provide the two central structures for such a link. We use such a connection to bring the duality concept in matroid theory to p-branes physics. Our analysis may be of particular interest in M-theory and in matroid bundle theory.

The pattern of well-known states in q 4 spectroscopy is quite different from CE and b 6. Because of the position of the heavy quark thresholds, the JP = lradial excitation ladder is well studied by formation in e+eexperiments and the L = 1 triplets are seen in 7 transitions. In the q p sector, however, the “leading” high-spin multiplets are best known (in both natural and unnatural f) and, sinc...

Let G be a connected noncompact simple Hermitian symmetric group with nite center. Let H() denote the geometric realization of an irreducible unitary highest weight representation with highest weight. Then H() consists of vector-valued holomorphic functions on G=K and the action of G on H() is given in terms of a factor of automorphy. For highest weights corresponding to ladder representations,...

We present two modelling approaches for the application of model checking to verify railway interlockings. The first translates so-called Ladder Logic into Scade language, the second models a segment of railway from scratch. The verification tool used is Scade.

A link between matroid theory and p-branes is discussed. The Schild type action for p-branes and matroid bundle notion provide the two central structures for such a link. We use such a connection to bring the duality concept in matroid theory to p-branes physics. Our analysis may be of particular interest in M-theory and in matroid bundle theory.

The chain ladder (volume-weighted average development factor) is perhaps the most widely used of the link ratio (age-to-age development factor) techniques, being popular among actuaries in many countries. The chain ladder technique has a number of interesting properties. We present one such property, which indicates that the chain ladder doesn’t distinguish between accident years and developmen...

This paper is devoted to Wiener index of directed graphs, more precisely grids. The grid Gm, n the Cartesian product Pm□Pn paths on m and vertices, in a particular case when = 2, it called ladder graph Ln. Kraner Šumenjak et al. 2021 proved that maximum digraph, which obtained by orienting edges Ln, all layers isomorphic one factor are same way except (corresponding an endvertex other factor) p...