Quantifier elimination (QE) is a very powerful procedure for problems involving first­order formulas over real fields. The cylindrical algebraic decomposition (CAD) is a technique for the “efficient” im­ plementation of QE, that effectively reduces an seemingly infinite problem into a finite (but potentially large) instance. For much more information about QE and CAD (including a reprint of Tar...

The oligonucleotide [5'-32P]pdT8d(-)dT., containing an apurinic/apyrimidinic (AP) site [d(-)], yields three radioactive products when incubated at alkaline pH: two of them, forming a doublet approximately at the level of pdT8dA when analysed by polyacrylamide-gel electrophoresis, are the result of the f-elimination reaction, whereas the third is pdT8p resulting from ,8-elimination. The incubati...

A systematic approach is described for analysis of evolutionarily conserved cis-regulatory DNA using cis-Decoder, a tool for discovery of conserved sequence elements that are shared between similarly regulated enhancers. Analysis of 2,086 conserved sequence blocks (CSBs), identified from 135 characterized enhancers, reveals most CSBs consist of shorter overlapping/adjacent elements that are eit...

1 Problem The interaction energy of an electric charge q and a " point " electric dipole with moment p of fixed magnitude, both at rest, is, in Gaussian units,

Lifting aims at improving the efficiency of probabilistic inference by exploiting symmetries in the model. Various methods for lifted probabilistic inference have been proposed, but our understanding of these methods and the relationships between them is still limited, compared to their propositional counterparts. The only existing theoretical characterization of lifting is a completeness resul...

3 Production of lemmas in first order logic 10 The method "Model Elimination is a proof method very easy to implement and it is the reason of his success. To present it, we use the following references [OD97], [Don78] et [Sut12]. The last document presents clearly and concisely the production of the lemma. Without this help, it would have been impossible to write this explanation of the method ...

T HE CARDIOVASCULAR effects of hypothermia in animals have been studied extensively. However, little information is available concerning the effects of hypothermia on renal function The present report is concerned with changes in filtration rate, renal blood flow and TrnPAH in the hypothermic dog. The effects of hypothermia on the renal excretion of water and electrolytes will be the subject of...

Neville elimination is an elimination procedure alternative to Gaussian elimination. It is very useful when dealing with totally positive matrices, for which nice stability results are known. Here we include examples, most of them test matrices used in MATLAB which are not totally positive matrices, where Neville elimination outperforms Gaussian elimination. 2010 Elsevier Inc. All rights reserved.

We present a formalism that models the computation of clause sharing portfolio solvers with inprocessing. The soundness of these solvers is not a straightforward property since shared clauses can make a formula unsatisfiable. Therefore, we develop characterizations of simplification techniques and suggest various settings how clause sharing and inprocessing can be combined. Our formalization mo...