Ascent of Sap

Misunderstanding sap ascent in trees

Trees transport water from their roots to their leaves thanks to an efficient but vulnerable vascular system. Assessing the vulnerability to drought of the xylem and its ability to recover from failure are not an easy task but recent findings demonstrate that, contrary to what is commonly believed, hydraulic failure and embolism repair are not routine in trees. Trees are amazing organisms. They...

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Ascent Properties of Auslander Categories

Let R be a homomorphic image of a Gorenstein local ring. Recent work has shown that there is a bridge between Auslander categories and modules of finite Gorenstein homological dimensions over R. We use Gorenstein dimensions to prove new results about Auslander categories and vice versa. For example, we establish base change relations between the Auslander categories of the source and target rin...

Recursive Ascent-Descent Parsing

Generalized left-corner parsing was originally presented as a technique for generating a parser for the SLR(1) class of grammars but with far fewer states than the SLR(1) parser. This paper modi es and extends the formulation of left-corner parsers so that it is possible to apply the technique to the LALR(1) and LR(1) classes of grammars. It is further shown that left-corner parsers can be conv...

Complexity of ascent finding problem

An edge-ordering of a graph G = (V, E) is a one-to-one function f from E to a subset of the set of positive integers. A path P in G is called an f-ascent if f increases along the edge sequence of P . The height h(f) of f is the maximum length of an f -ascent in G. This problem was studied rather extensively from graph theoretical point of view in connection with graph invariant known as altitud...