Let A be a positive self-adjoint operator and let B be an m-accretive operator which is A-small with a relative bound less than one. Let H = A + B, then H is well-deened on dom(H) = dom(A) and m-accretive. If B is a strictly m-accretive operator obeying dom((H)) dom(A) \ dom((B)) 6 = f0g for some 2 (0; 1]; (1) then for the Trotter product formula we prove that ?

The seasonal distribution of dissolved organic matter (DOM) in Damietta estuary of the Nile was investigated to show the influence of organic pollution. The DOM values increased generally with depth. The vertical values of DOM varied from 0.23-9.97 mg O/l. The average DOM values gave noticeable local variations in each month and pronounced monthly variations at each station. The maximum monthly...

Dissolved organic matter (DOM), although highly variable and not very well characterized, plays a role in many important environmental reaction and transport processes, including trace metal mobilization. This study characterizes heterogeneous DOM from the pore-water of a restored urban tidal marsh, using chemical, optical, and electrochemical methods for dissolved organic carbon/nitrogen ratio...

Glucocorticoid (GC)-evoked apoptosis of T-lymphoid cells is preceded by increases in the intracellular Ca2+ concentration ([Ca2+]i), which may contribute to apoptosis. This report demonstrates that GC-mediated upregulation of the bZIP transcriptional repressor gene, E4BP4, is dependent on [Ca2+]i levels, and correlates with GC-evoked apoptosis of GC-sensitive CEM-C7-14 cells. Calcium chelators ...

Natural dissolved organic matter (DOM) is the major absorber of sunlight in most natural waters and a critical component of carbon cycling in aquatic systems. The combined effect of light absorbance properties and related photo-production of reactive species are essential in determining the reactivity of DOM. Optical properties and in particular excitation-emission matrix fluorescence spectrosc...

Excited triplet states of aromatic ketones and quinones are used as proxies to assess the reactivity of excited triplet states of the dissolved organic matter ((3)DOM*) in natural waters. (3)DOM* are crucial transients in environmental photochemistry responsible for contaminant transformation, production of reactive oxygen species, and potentially photobleaching of DOM. In recent photochemical ...

Many WWW applications generate HTML or XML documents dynamically. Current tools, however, like languages using DOM or Java Server Pages do not allow to check the validity of the generated documents statically. Instead, validity has to be “checked” dynamically by appropriate test runs. This paper addresses this problem by introducing a new distinct class for each element type of a DTD. Each clas...

We follow the rules: k, m are natural numbers, x, X are sets, and N is a set with non empty elements. Let f be a function and let g be a non empty function. One can verify that f+·g is non empty and g+·f is non empty. Let f , g be finite functions. Note that f+·g is finite. Next we state two propositions: (1) For all functions f , g holds dom f ≈ dom g iff f ≈ g. (2) For all finite functions f ...