• Corpus ID: 233481502

Diffusion of a particle via a stochastic process on the Pascal'e pyramid

  title={Diffusion of a particle via a stochastic process on the Pascal'e pyramid},
  author={Pei-wen Kao},
In this note, we construct a 3-dimensional generalisation of the Pascal’s triangle that we named Pascal’s cube, as it has the construction of a cube with entries given by extended binomial coefficients C b . The Pascal’s cube is equivalent to the well-studied Pascal’s pyramid, with the advantage that the Pascal’s cube can be mapped onto the Cartesian plane for easier computation. We define a stochastic process using extended binomial coefficients on the Pascal’s pyramid representing the… 


A source book in mathematics, p 67-79
  • 1929
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