In mathematics, a Riemann sum is a certain kind of approximation of an integral by a finite sum. It is named after nineteenth century German mathematician...
21 KB (3,414 words) - 06:59, 17 July 2024
Riemann integral but based on Darboux sums, is equivalent to the Riemann integral. Loosely speaking, the Riemann integral is the limit of the Riemann...
41 KB (5,356 words) - 02:48, 5 May 2024
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter ζ (zeta), is a mathematical function of a complex variable defined...
68 KB (10,287 words) - 00:59, 24 July 2024
In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers...
126 KB (16,744 words) - 18:40, 29 July 2024
Divergent series (redirect from Riemann summability)
is called (R,k) (or Riemann) summable to s if lim h → 0 ∑ n a n ( sin n h n h ) k = s . {\displaystyle \lim _{h\rightarrow 0}\sum _{n}a_{n}\left({\frac...
32 KB (5,028 words) - 09:59, 22 June 2024
Integral (redirect from Sum rule in integration)
thought of the area under a curve as an infinite sum of rectangles of infinitesimal width. Bernhard Riemann later gave a rigorous definition of integrals...
68 KB (9,235 words) - 01:10, 22 June 2024
In mathematics, the Riemann–Stieltjes integral is a generalization of the Riemann integral, named after Bernhard Riemann and Thomas Joannes Stieltjes....
19 KB (2,871 words) - 03:09, 25 July 2024
in the above Riemann sum yields I = lim Δ t → 0 ∑ i = 1 n f ( r ( t i ) ) | r ′ ( t i ) | Δ t {\displaystyle I=\lim _{\Delta t\to 0}\sum _{i=1}^{n}f(\mathbf...
21 KB (3,179 words) - 17:52, 16 June 2024
mathematics, the Riemann series theorem, also called the Riemann rearrangement theorem, named after 19th-century German mathematician Bernhard Riemann, says that...
30 KB (5,093 words) - 21:43, 11 July 2024
Improper integral (redirect from Improper Riemann integral)
say, from 1 to 3, an ordinary Riemann sum suffices to produce a result of π/6. To integrate from 1 to ∞, a Riemann sum is not possible. However, any finite...
23 KB (4,175 words) - 17:29, 19 June 2024