31 research outputs found
The impact of Stieltjes' work on continued fractions and orthogonal polynomials
Full text linkStieltjes' work on continued fractions and the orthogonal polynomials related
to continued fraction expansions is summarized and an attempt is made to
describe the influence of Stieltjes' ideas and work in research done after his
death, with an emphasis on the theory of orthogonal polynomials
Circumnutation in Phaseolus vulgaris. I. Growth, osmotic potential and cell ultrastructure in the free-moving part of the shoot
No full textLa végétalité: un réseau de déterminismes reliant structure, biologie et milieu de vie dans le deuxième royaume de la nature?
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Growth relationships of leaves and internodes in viny angiosperms with different modes of attachment
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Mechanics of climbing and attachment in twining plants.
No full textTwining plants achieve vertical growth by revolving around supports of different sizes on which they exert a pressure. This observation raises many intriguing questions that are addressed within the framework of elastic filamentary structures by modeling the stem close to the apex as a growing elastic rod. The analysis shows that vertical growth is achieved thanks to discrete contact points and regions with continuous contact, that the contact pressure creates tension in the stem as observed experimentally, and that there is a maximal radius of the pole around which a twiner can climb
