Abs t rac t . This paper describes a new technique for reducing the complexity of algorithms, such as those used in digital signal processing~ using a genetic algorithm (GA). The method, referred to as expansive coding, is a representation methodology which makes complicated combinatorim optimisation tasks easier to solve for a. GA. Using this technique, the representation, operators and fitnes...

Geometric algorithms for computing cutter engagement functions in 2.5D milling operations. ABSTRACT Cutter engagement is a measure that describes what portion of the cutter is involved in machining at a given instant of time. During profile milling of complex geometries, cutter engagement varies significantly along the cutter path. Cutter engagement information helps in determining the efficien...

Effectiveness of tool condition monitoring strategy depends on accuracy in failure prediction (prognostics) of cutting tools. Data driven approaches are generally used for prognostics of cutting tools. Various prognostics models have been proposed in the literature. Performance of these models in terms of accuracy and applicability are found to be the major constraints for use in real industria...

We discuss synchronous and asynchronous variants of fixed point iterations of the form xk+1 = xk + γ(k) ( F (xk, ξk)− xk ) , where F is a non-expansive mapping under a suitable norm, and {ξk} is a stochastic sequence. These are stochastic approximation iterations that can be analyzed using the ODE approach based either on Kushner and Clark’s Lemma for the synchronous case or Borkar’s Theorem fo...

This test was sent to 245 participants. Each sample set contained a bolt cutter (Item 1) and two padlocks containing questioned toolmarks (Items 2 and 3). Participants were requested to examine these items and report their findings. Data were returned from 202 participants (82% response rate) and are compiled into the following tables: Page 2 Manufacturer's Information 3 Summary Comments 4 Tabl...

A general framework for investigating topological actions of Zd on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower-dimensional subspaces ofRd . Here we completely describe this expansive behavior for the class of algebraic Zd -actions given by commuting automorphisms of compact abelian groups. The description uses the logarithmic image of an algeb...

We show that an expansive Z2 action on a compact abelian group is measurably isomorphic to a two–dimensional Bernoulli shift if and only if it has completely positive entropy. The proof uses the algebraic structure of such actions described by Kitchens and Schmidt and an algebraic characterisation of the K property due to Lind, Schmidt and the author. As a corollary, we note that an expansive Z...