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Any convergent sequence is a Cauchy sequence is converse true?
no converse is not true
Which distribution do not have mean?
The Cauchy or Cauchy-Lorentz distribution. The ratio of two Normal random variables has a C-L distribution.
What country was Augustin Cauchy born in?
France
What are the applications of cauchy-riemann equations in engineering?
Well, cauchy-riemann differential equation is a part of complex variables and in real-life applications such as engineering, it can be used in determining the flow of fluids, such as the flow around the pipe. In fluid mechanics, the cauchy-riemann equations are decribed by two complex variables, i.e. u and v, and if these two variables satisfy the equations in an open subset of R2, then the vector field can be asserted from the two cauchy-riemann equations, ux = vy (1) uy = - vx (2) This I think can help interpreting the potential flow (Wikipedia) in two dimensions using the cauchy-riemann equations. In fluid mechanics, the potential flow can be analyzed using the cauchy-riemann equations.
What is the maximum likelihood estimator of the Cauchy distribution?
Maximum likelihood estimators of the Cauchy distribution cannot be written in closed form since they are given as the roots of higher-degree polynomials. Please see the link for details.
