Real analysis

Show that it is impossible to write R=U(union sign n=1 bottom, infinity top)F_n where for each n belong to N, F_n is closed set containing no nonempty open intervals.

Independence and relations Real Analysis Jacobians (XXVII) Jacobian of Functions of Functions Compute the Jacobian del(u,v)/del(r, the

Prove if... and... are bounded sequences of real numbers, then lim sup... (See attachment for full question)

Proving in Real Analysis Course. Please see the attached.

Assume that A And B are nonempty, bounded above and satisfy B subset or equal of A. Show that sup B<= sup A

These problems are real analysis related problems. One of these is Liptuaz continuity/holder condition. It would be nice if you use mean value theorem for solving that problem. 1. Let f : [0, 2] ? R be continuous, assume that f is twice differentiable at all points of (a, b), and assume that f(0) = 0, f(1) = 1 and f(2) = 2. P

What are the advantages and disadvantages of having "real-time" data available for analysis? What are the reasons why it is an advantage/disadvantage to businesses.

Independence and relations Real Analysis Jacobians (XXVI) Jacobian of Implicit Functions If lemda, mu, nu are the roots of the equa

Why might a researcher want to use multivariate analysis rather than a univariate or bivariate analysis technique?

Decision tree analysis shows a project to have several possible outcomes the best of which has an NPV of $10M calculated over a five year life. This best case path has an overall probability of occurring of 25%. A real option is available at an initial cost of $750,000 which will add a single $5M cash inflow to this best case pa