Milan's Website - a site about KDB+/Q and K4 ... updated: Oct 20, 2019 - 13:43 C.E.T.

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• Contact #
  • ondrus{at}gmail.com
• Websites #
  • Kx Systems
  • APL
  • APL by Ken Iverson
  • J software
  • my J doc
• other links #
  • Simon Garland
  • Attila Vrabecz
  • Steve Apter
  • Christian Langreiter
• K4$Kdb+ +
  • Lamellated Kdb+
  • K4/Q displays
  • K4/Q displays (PART2)
  • specials +
    • cubic polynomials(new)
    • quartic polynomials(new)
    • newton interpolation
    • lobachevsky method
    • numerical integration
    • a bit of finance
    • chain fractions
    • statistics light
    • math 1(older stuff)
    • math 2(older stuff)

• [+] K update: Power series multiplication (under displays - Part 2) .. [2013-12-17]

• powerm:{+/'(x@r)*y@|:'r:(1+s)#\:s:!z}

• [+] K update: Power series division (under displays - Part 2) .. [2013-12-28]

• {(u*y-+/x*(#x)#1_b),x}/[(*a)%e;1_a]

• B₁₆ = -7.092157 and B₁₈ = 54.97118 ... Note: |z| < (|B₁₆ / B₁₈|(18 * 17))^0.5 ~ 6.283221 is very close to 2π, and indeed, the series Σ (B_n / n!) zⁿ is converging for |z| < 2π ; the B_k are called Bernoulli numbers

• E₁₆ = 1.939151e+010 and E₁₈ = -2.40488e+012 ... Note: |z| < sqrt (|E₁₆ / E₁₈|(18 * 17)) ~ 1.570796 is very close to π/2, and indeed, the series Σ (E_n / n!) zⁿ is converging for |z| < π/2 ; the E_k are called Euler numbers