There is something stupid inside

Forums › General Discussion › There is something stupid inside

• PINΞ͒SʘUP Oct 15, 2017

  In numerical analysis, Lagrange polynomials are used for polynomial interpolation. For a given set of distinct points
  x
  j
  x_{j} and numbers
  y
  j
  y_{j}, the Lagrange polynomial is the polynomial of lowest degree that assumes at each point
  x
  j
  x_{j} the corresponding value
  y
  j
  y_{j} (i.e. the functions coincide at each point). The interpolating polynomial of the least degree is unique, however, and since it can be arrived at through multiple methods, referring to "the Lagrange polynomial" is perhaps not as correct as referring to "the Lagrange form" of that unique polynomial.

  Although named after Joseph Louis Lagrange, who published it in 1795, the method was first discovered in 1779 by Edward Waring. It is also an easy consequence of a formula published in 1783 by Leonhard Euler.[1]

  Uses of Lagrange polynomials include the Newton–Cotes method of numerical integration and Shamir's secret sharing scheme in cryptography.

  Lagrange interpolation is susceptible to Runge's phenomenon of large oscillation.
• [dday] Oct 15, 2017

  Did you just copy and paste all that straight from Wikipedia?
• PINΞ͒SʘUP Oct 16, 2017

  [dday] wrote:

  Did you just copy and paste all that straight from Wikipedia?

  No. I don’t plagiarize
• [dday] Oct 16, 2017

  [citation needed]
• PINΞ͒SʘUP Oct 16, 2017

  [dday] wrote:

  [citation needed]

  They stole it from me!

Reply to this topic

Please login to reply to this topic