Re: 22/7 - pi integral and a sci.math challenge

In article <Pine.WNT.4.58.0908101830550.-487245@xxxxxxxxxxxxxxxxxx>,
"Zdislav V. Kovarik" <kovarik@xxxxxxxxxxx> wrote:

Somewhere in my old doodlings, I classified the integrals

A(m,n) = int(x^m*(1-x)^n/(1+x^2), 0, 1)

(m,n positive integers)

according to whether they belong to Q[pi] or Q[ln(2)], and with what
coefficients.

See Backhouse, N. "Note 79.36. Pancake Functions and Approximations
to Pi." Math. Gaz. 79, 371-374, 1995.

--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
.

Relevant Pages

  • Re: Mass and Potential Energy
    ... The approximations involved are essential. ... Without math, physics is BS. ...
    (sci.physics.relativity)
  • Re: Differential equation modeling distribution of primes
    ... heuristic model, I discovered that in fact *any* model claiming ... differential equation of the form ... Gaz. ... G. Hoffman de Visme, "The density of prime numbers," Math. ...
    (sci.math.research)
  • Re: scwewy answers that dont belong
    ... approximations (dictated by the IEEE 754 standard that is followed by almost ... If you do the math, you will see that the answer of 1.35E-15 is actually ... It is because the math is correct that rounding is the appropriate ... example applied to a hypothetical decimal computer, ...
    (microsoft.public.excel.worksheet.functions)
  • RE: Round off error
    ... Excel does binary math. ... terminating decimal fractions are non-terminating binary fractions that can ... You don't directly see these approximations, ... Dim i As Double ...
    (microsoft.public.excel.programming)
  • RE: Round off error
    ... Excel does binary math. ... terminating decimal fractions are non-terminating binary fractions that can ... You don't directly see these approximations, ... Dim i As Double ...
    (microsoft.public.excel.programming)