SUMMARY We present a new solution to the tree drawing problem that integrates an excellent tree drawing algorithm into one of the best text processing systems available. More precisely, we present a T E X macro package called TreeT E X that produces drawings of trees from a purely logical description. Our approach has three advantages: labels for nodes can be handled in a reasonable way; portin...

We prove that if Q is a nw-nep forcing then it cannot add a dominating real. We also show that amoeba forcing cannot be P(X)/I if I is an א1-complete ideal. Furthermore, we generalize the results of [12].

Abstract The properties of positive bases make them a useful tool in derivative-free optimization and an interesting concept mathematics. notion the cosine measure helps to quantify quality basis. It provides information on how well vectors basis uniformly cover space considered. number is known be between $$n+1$$ n</m...

We show that if the real line is the disjoint union of κ meager sets such that every meager set is contained in a countable union of them, then κ = ω1. This answers a question addressed by Jacek Cichoń. We also prove two theorems saying roughly that any attempt to produce the isomorphism type of the meager ideal in the Cohen real and the random real extensions must fail. All our results hold fo...

In automotive powertrain control strategy, engine torque estimators are preferred to expensive sensors for obvious economic reasons. In the literature several works have been presented proposing both instantaneous engine torque and mean engine torque estimators. The first ones are based on complex models and tipically are suitable for diagnosis purposes, while the latter estimate the torque by ...