Weierstrass-Lindemann theorem

Weierstrass-Lindemann theorem

1. (rare) Synonym of Lindemann-Weierstrass theorem
   • 1976, Society for Industrial, Applied Mathematics, SIAM Journal on Control and Optimization:

     Hence we may apply an extended version of the Weierstrass-Lindemann theorem (cf. [37, p. 20]) to conclude that g(e", e*, e")=0 when h >0 is algebraic.

   • 2004, A. K. Dewdney, Beyond reason: eight great problems that reveal the limits of science, John Wiley & Sons Inc, →ISBN:

     According to the Weierstrass-Lindemann theorem, e"1 + 1 * 0. But this contradicts the previous equation, so n cannot be algebraic. Since the time of Lindemann and Weierstrass, the theorem has been simplified several times.

   • 2010, Elena Kartashova, Nonlinear Resonance Analysis: Theory, Computation, Applications, Cambridge University Press, →ISBN, page 63:

     Combination of the Weierstrass–Lindemann theorem and q-class decomposition will produce partitioning according to Theorem 8.

• Lindemann-Weierstrass theorem