منابع مشابه
Ju l 2 00 3 Comment on : “ Sadi Carnot on Carnot ’ s theorem ”
Carnot established in 1824 that the efficiency ηC of reversible engines operating between a hot bath at absolute temperature Thot and a cold bath at temperature Tcold is equal to 1−Tcold/Thot. Carnot particularly considered air as a working fluid and small bath-temperature differences. Plugging into Carnot’s expression modern experimental values, exact agreement with modern Thermodynamics is fo...
متن کاملImplicit Function Theorem in Carnot–carathéodory Spaces
In this paper, we study the notion of regular surface in the Carnot–Carathéodory spaces and we prove the implicit function theorem in this setting. We fix at every point of R a subset of the tangent space, called horizontal tangent plane, and we assume that it has a basis X1, . . . , Xm of C∞ vector fields satisfying the Hörmander condition of hypoellipticity, (see [16]). This choice induces a ...
متن کاملA 5 Curve Theorem Generalizing the Theorem of Carnot
Because of the 2-dimensionality of the plane a relation holds between any 3 quantities determining a point or a line. The relation between the meets of a line with the sides of a fixed triangle is given by the theorem of Menelaos. This is generalized to the meets of an algebraic curve with a triangle by the theorem of Carnot. I give here a further generalization to the meets of an algebraic cur...
متن کاملMulti-parameter Carnot-Carathéodory balls and the theorem of Frobenius
We study multi-parameter Carnot-Carathéodory balls, generalizing results due to Nagel, Stein, and Wainger in the single parameter setting. The main technical result is seen as a uniform version of the theorem of Frobenius. In addition, we study maximal functions associated to certain multi-parameter families of Carnot-Carathéodory balls.
متن کاملConvex Functions on Carnot Groups
We consider the definition and regularity properties of convex functions in Carnot groups. We show that various notions of convexity in the subelliptic setting that have appeared in the literature are equivalent. Our point of view is based on thinking of convex functions as subsolutions of homogeneous elliptic equations.
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ژورنال
عنوان ژورنال: American Journal of Physics
سال: 2002
ISSN: 0002-9505,1943-2909
DOI: 10.1119/1.1412642