let ? be an open connected subset of the complex plane c and let t be a bounded linear operator on a hilbert space h. for ? in ? let e the orthogonal projection onto the null-space of t-?i . we discuss the necessary and sufficient conditions for the map ?? to b e continuous on ?. a generalized gram- schmidt process is also given.

nakhlak lead mine is located at the nakhlak mountain 55 km ne of anarak town in isfahan province. the mineralogy is simple; galena and barite are the main primary minerals and cerussite is the main secondary mineral. sphalerite, pyrite, chalcopyrite, tetrahedrite-tennantite and acanthite occur as minor and trace mineral inclusions in galena. secondary minerals are anglesite, plattnerite, wulfen...

in traditional bazaars social interactions, parallel to economic and movement interactions, created a mixed urban space which was dynamic, lively and attractive to the audience. however, modern shopping centers and shopping malls are economy focused and void of variety of urban spaces like traditional bazaars. the presence of public open spaces and urban squares undetectable from traditional ba...

Open space protection and the new ‘Smart Growth’ movement have to date been policy slogans lacking any formal analysis and evaluation. Evaluation of land protection policies requires a structural model for land markets with spatial delineation so that the impacts of policy on locational attributes can be described. This paper uses estimates for household preferences derived from a locational eq...

In this article, we further consider the above system. In particular, we give a sufficient condition under which the above system is Kato chaotic for $eta=0$ and a necessary condition for the above system to be Kato chaotic for $eta=0$. Moreover, it is deduced that for $eta=0$, if $Theta$ is P-chaotic then so is this system, where a continuous map $Theta$ from a compact metric space $Z$ to itse...

Urban green space is one of the important solicitude for urban planners and designers due to their effects on quality of life. This research used HPM model to estimate economic value of urban green space, in a case study of trees in Velenjak residential place, Tehran Metropolitan Area in Iran. View determined the spread tree on the public spaces and neighbourhoods improve residential lan...

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.

A series of x(Co, Mn)/TiO2 catalysts (x=2–12wt.%) containing 25%Co and 75%Mn were prepared by the co-impregnation method. All prepared catalysts have been tested in Fischer-Tropsch synthesis for production of C2-C4 olefins. It was found that the catalyst containing 8wt.%(Co,Mn)/TiO2 is an optimal catalyst for production of C...

An open problem in reinforcement learning is discovering hierarchical structure. HEXQ, an algorithm which automatically attempts to decompose and solve a model-free factored MDP hierarchically is described. By searching for aliased Markov sub-space regions based on the state variables the algorithm uses temporal and state abstraction to construct a hierarchy of interlinked smaller MDPs.