Abstract We study the nodal set of stationary solutions to equations form $$(-\Delta )^s u = \lambda _+ (u_+)^{q-1} - _- (u_-)^{q-1}\quad \text {in }B_1,$$ ( - Δ ) s u = <mml...

We introduce methods for identifying operator preconditions that need not be expanded further. The methods are proved to be admissible , that is, they will not cause a solution to be missed when one exists. In certain cases, the methods also identify operator reformulations that increase the number of nonexpandable preconditions. This approach provides effective loop control in common situation...

Cloning in lambda gt WES phage of EcoRI fragments from maize seedlings DNA led to the isolation of four fragments containing genes coding for 21000 dalton zein proteins. The zein genes, identified by electron microscopic analysis, do not contain intervening sequences detectable by this method. The flanking sequences were analyzed by restriction sites mapping and hybridization and showed areas o...

Over the past decade a number of results concerning the relationship between causality and various energy concepts such as losslessness, passivity, and stability have been obtained [l][4] for linear networks. For nonlinear networks, however, no analogous results have been established except for the case of weakly additive networks [S], [6], wherein the linear theory holds without modification.’...

The mapping class group invariant ideal cell decomposition of the Teichmüller space of a punctured surface times an open simplex has been used in a number of computations. This paper answers a question about the asymptotics of this decomposition, namely, in a given cell of the decomposition, which curves can be short? Screens are a new combinatorial structure which provide an answer to this que...

We present spatially resolved BPT mapping of the extended narrow line regions (ENLRs) seven nearby Seyfert 2 galaxies, using HST band filter imaging. construct diagrams $\leq$ 0.1" resolution emission images [O III]$\lambda$5007, H$\alpha$, [S II]$\lambda$$\lambda$6717,6731, and H$\beta$. By these diagnostic lines according to classification, we dissect ENLR into Seyfert, LINER, star-forming re...

Cytosine deaminase catalyzes the deamination of cytosine to uracil as part of the pyrimidine salvage pathway in Escherichia coli (7). The gene encoding cytosine deaminase, codA, is part of the codBA operon (3, 6). Previous mapping studies have shown that the cod operon is closely linked to the lac operon at approximately 8 min on the E. coli chromosome (4). The Kohara lambda phage clones carryi...

Phenotypic characterization and mapping of more than 50 Mal(-) mutations located in the malB region lead one to divide the site for Mal(-)lambdas mutations (formerly called gene malB) in that region, into two adjacent genetic segments malJ and malK. malJ and malK are both involved in maltose permeation. It is suggested that (i) malK and lamB, the only known gene specifically involved in phage l...

The aim of this paper is the study of a covering of a max-mingeneral fuzzy automaton by another, admissible relations, admissiblepartitions of a max-min general fuzzy automaton,$tilde{delta}$-orthogonality of admissible partitions, irreduciblemax-min general fuzzy automata. Then we obtain the relationshipsbetween them.