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What is a cauchy sequence?

(xn) is Cauchy when abs(xn-xm) tends to 0 as m,n tend to infinity.


Which distribution do not have mean?

The Cauchy or Cauchy-Lorentz distribution. The ratio of two Normal random variables has a C-L distribution.


Who invented the Elasticity theory?

The theory of elasticity was developed primarily in the 19th century, with significant contributions from several key figures. Notably, Augustin-Louis Cauchy and Robert Hooke are often credited for their foundational work in this field. Hooke's law, formulated in the 17th century, describes the linear relationship between stress and strain, laying the groundwork for modern elasticity theory. Cauchy further advanced the theory by introducing mathematical formulations that describe the behavior of elastic materials under various forces.


What is the meaning of fresnel?

It is a Scientist's last name. Augustin-Jean Fresnel, born 1788, died 1827


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.