Fourier's Series

@article{GibbsFouriersS,
  title={Fourier's Series},
  author={Josiah Willard Gibbs},
  journal={Nature},
  volume={59},
  pages={606-606}
}
I SHOULD like to correct a careless error which I made (NATURE, December 29, 1898) in describing the limiting form of the family of curves represented by the equation as a zigzag line consisting of alternate inclined and vertical portions. The inclined portions were correctly given, but the vertical portions, which are bisected by the axis of X, extend beyond the points where they meet the inclined portions, their total lengths being expressed by four times the definite integral . 
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