Abstract Infinite Leslie matrices are studied. The purely linear algebraic concept of weighed kneading determinant is introduced to solve linear difference equations associated with Leslie matrices. The method applies both to finite and infinite matrices. In the finite case this technique simplifies the computations. The asymptotic properties of the solutions are established using the positive ...

We show that topologically expansive Lorenz maps can be described up to topological conjugacy by their kneading invariants. We also give a simple condition on pairs of symbol sequences which is satisfied if and only if that pair of sequences is the kneading invariant for some topologically expansive Lorenz map. A simple extension of the theorems to the case of expansive maps of the interval wit...

The concept of irreducible complexity of a biological system was introduced by Behe [1] in 1996. His point of view is that an organism consisting of a finite, possibly very large, number of independent components, coupled together in some way, exhibits irreducible complexity if, by removing any of its components, the reduced system no longer functions meaningfully. Using the language of nonline...

Long-term improvement in behaviour of soil subjected to lime treatment depends on the mechanism its implementation. In-situ lime-treated fine-grained is often ‘kneading action’ developed by Pad-foot roller. The underlying effect kneading remains less investigated. Unconfined Compressive Strength (UCS) and microstructural modification compaction are evaluated. Kneading action undergoes better li...

We introduce an invertible operation on finite sequences of positive integers and call it “kneading”. Kneading preserves three invariants of sequences — the parity of the length, the sum of the entries, and one we call the “alternant”. We provide a bijection between the set of sequences with alternant a and parity s and the set of Zagier-reduced indefinite binary quadratic forms with discrimina...

glipizide has been found to form inclusion complexes with β-cyclodextrin (β-cd) in solution and in solid state. the present study was undertaken to determine a suitable method for scaling up glipizide-β-cd inclusion complex formation and to evaluate the effect of some parameters on the efficiency of complexation. the solid inclusion complexes of glipizide and β-cd were prepared at a molar ratio...

Consider the one-parameter family of real quadratic maps fμ : [0, 1] → [0, 1] defined by fμ(x) = μx(1−x), with μ ∈ [0, 4]. Using Milnor-Thurston’s kneading theory [14], J. Guckenheimer [5] has classified up to topological conjugacy, a certain class of maps which includes the quadratic family. The idea of kneading theory is to encode information about the orbits of a map in terms of infinite seq...

converting the organic wastes and losses into compost is an appropriate technique to stabilize organic materials. one of the limitative factors in transporting and storing the composts is their low specific mass which usually leads to increase costs in their processing. to overcome this limitation, several methods such as pelleting have been proposed especially for efficient processing of powde...

Abstract. The main purpose of this paper is to present a kneading theory for two-dimensional triangular maps. This is done by defining a tensor product between the polynomials and matrices corresponding to the one-dimensional basis map and fiber map. We also define a Markov partition by rectangles for the phase space of these maps. A direct consequence of these results is the rigorous computati...