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This collection includes:

  • Shaikh, A. (2012). Wicksell effect is monotonic. Unpublished manuscript.
  • Shaikh, A. (2012). Ratio of complex numbers. Unpublished manuscript.
  • Shaikh, A. (2016). Classical theory of price-matrix algebra. Unpublished manuscript.
  • Shaikh, A. (2017). Zambelli - one curve was.... Unpublished manuscript.
  • Shaikh, A. (2015). Fitting a curve to the observed values and relation of fitted curve to corresponding probability distributions. Unpublished manuscript.
  • Shaikh, A. (2020). Empirical distribution function of eigenvalues = edf. Unpublished manuscript.
  • Shaikh, A. (2015). Eigenvalue distribution & means. Unpublished manuscript.
  • Shaikh, A. (2015). Weibull & eigenvalue distribution. Unpublished manuscript.
  • Shaikh, A. (2015). Exponentially distributed eigenvalues in the limit. Unpublished manuscript.
  • Shaikh, A. (2015). General Weibull. Unpublished manuscript.
  • Shaikh, A. (2014). Eigenvalue moduli distribution. Unpublished manuscript.
  • Shaikh, A. (2016). Eigenvalues are distinct. Unpublished manuscript.
  • Shaikh, A. (2013). Geometric mean of an exponential distribution. Unpublished manuscript.
  • Shaikh, A. (2014). Empirical patterns of actual io matrices. Unpublished manuscript.
  • Shaikh, A. (2014). 2nd eigenvalue of a matrix. Unpublished manuscript.
  • Shaikh, A. (2009). Second eigenvalue of a normalized matrix b*. Unpublished manuscript.
  • Shaikh, A. (2011). Matrices equal occs.mcd. Unpublished manuscript.
  • Shaikh, A. (2014). Disaggregation makes ||p(r)-v|| approach smaller upper bound than ||p(r)-v||. Unpublished manuscript.
  • Shaikh, A. (2014). Disaggregation makes prices = values! ricardo's last theorem!. Unpublished manuscript.
  • Shaikh, A. (2014). Wicksell effect bounds.xlsx. Unpublished manuscript.
  • Shaikh, A. (2014). Wicksell effect & matrix size. Unpublished manuscript.
  • Shaikh, A. (2014). Scalar equivalent of f(h). Unpublished manuscript.
  • Shaikh, A. (2014). How to augment a matrix to one of same rank & same λ₁. Unpublished manuscript.
  • Shaikh, A. (2012). Notes on io matrices, aggregation and subdominant eigenvalues. Unpublished manuscript.
  • Shaikh, A. (2015). Notes on gurgul & wojtovic 2014 ratio of first two eigenvalues. Unpublished manuscript.
  • Shaikh, A. (2015). If x = r.v. with some distribution, then.... Unpublished manuscript.
  • Shaikh, A. (2015). Prior to any normalization. Unpublished manuscript.
  • Shaikh, A. (2013). Positive real parts of eigenvalues of x. Unpublished manuscript.
  • Shaikh, A. (2013). Real parts of eigenvalues of a, h. Unpublished manuscript.
  • Shaikh, A. (1993). Std. price-value deviations. Unpublished manuscript.
  • Shaikh, A. (1993). Other useful matrix relations. Unpublished manuscript.

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