analysis, the Darboux integral is constructed using Darboux sums and is one possible definition of the integral of a function. Darboux integrals are equivalent...
16 KB (2,506 words) - 03:02, 11 August 2024
subinterval.) The Darboux integral, which is similar to the Riemann integral but based on Darboux sums, is equivalent to the Riemann integral. Loosely speaking...
41 KB (5,360 words) - 00:50, 4 September 2024
upper (respectively, lower) Darboux sum, suggesting the close connection between the Riemann integral and the Darboux integral. It is often of interest,...
68 KB (9,235 words) - 12:25, 23 August 2024
of Riemann integrals (or, equivalently, Darboux integrals), this typically involves unboundedness, either of the set over which the integral is taken or...
23 KB (4,175 words) - 17:29, 19 June 2024
him: Darboux basis Darboux chart Darboux cubic Darboux derivative Darboux equation Darboux frame Darboux integral Darboux net invariants Darboux or Goursat...
11 KB (905 words) - 12:36, 28 August 2024
: 13–15 Other integrals can be approximated by versions of the Gaussian integral. Fourier integrals are also considered. The first integral, with broad...
29 KB (5,991 words) - 16:10, 24 April 2024
In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that...
41 KB (5,848 words) - 18:07, 12 July 2024
of the Darboux integral, and consists in showing that the upper Darboux sums of the function f are in 1-1 correspondence with the lower Darboux sums of...
10 KB (1,696 words) - 02:59, 19 March 2024
background. Bounding sphere Bounding volume Minimum bounding rectangle Darboux integral Toussaint, G. T. (1983). "Solving geometric problems with the rotating...
4 KB (510 words) - 19:16, 15 January 2024
Riemann sum (category Integral calculus)
the lower and upper Darboux sums. This forms the basis of the Darboux integral, which is ultimately equivalent to the Riemann integral. The four Riemann...
21 KB (3,414 words) - 06:59, 17 July 2024