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In the short run, he says, this can influence real variables like real GDP growth and employment.
Ulam had a number of specialties, including set theory, mathematical logic, functions of real variables, thermonuclear reactions, topology, and the Monte Carlo theory.
In his doctoral thesis (1851), Riemann introduced a way of generalizing the study of polynomial equations in two real variables to the case of two complex variables.
Because a complex variable z can be thought of as a pair of real variables x + iy (where i = √(−1)), an equation involving two complex variables defines a real surface now known as a Riemann surface spread out over the plane.
real variables.
Similar to that of real variables.
real variables with cumulative distribution function (c.d.f).f
All the calculations are performed with real variables.
This theorem was proven in[20] for real variables.
And note we can treat as real variables.
Throughout this paper, the variables x 1, …, x r are assumed to be real variables.
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