Bharath Krishnan

7 Questions 4 Answers 0 Followers

Questions related from Bharath Krishnan

Finding a choice function which chooses a unique set of equivalent sequences of sets, where the expected value is unique, natural and finite?

(See attached article for more info). Let (X,d) be a metric space. If set A⊆X, let Hα be the α-dimensional Hausdorff measure on A, where α∈[0,+∞) and dimH(A) is the Hausdorff measure of set...

03 July 2023 773 1 View

Is there a simpler measure for the uniformity of measurable subsets of [0,1] x [0,1]?

In the attatchment below, I defined a new measure between 0 and 1 that measures the uniformity of subset R of [0,1] x [0,1] w.r.t a set that's "uniform" in [0,1] x [0,1] with Hausdorff dimension d...

09 June 2023 5,102 0 View

Does the following function exist?

Does there exist a function f:[0,1]->[0,1] such the function f is measurable in the sense of caratheodory the graph of f is dense in [0,1] x [0,1] the collection of all subsets of the range of...

15 May 2023 2,061 0 View

Finding expected value of uncountable pseudo-random points, non-uniformly distributed over the sub-space of R^2?

Consider the following...

12 April 2023 9,115 0 View

The most generalized, natural extension of the expected value?

Suppose A is a set measurable in the Caratheodory sense such for n in the integers, A is a subset of Rn, and function f:A->R After reading the preliminary definitions in section 1.2 of the...

02 March 2023 8,631 3 View

Is the set of all measurable functions with infinite or undefined expected values a prevelant subset of the set of all measurable functions?

When a set of functions with a property is a prevalent subset of some other set of functions, almost all functions with that property belong to that set of functions. Is it true the set of all...

02 March 2023 8,495 5 View

How do we find a unique, satisfying average for functions defined on non-fractal, measurable sets in the sense of Caratheodory with no gauge func.?

Edit: I updated question 1 and added a link in Section 3.1. I also explained the intuition in section 4.4.1. I have yet to understand amenability and group theory, but the questions in my...

01 June 2022 5,794 1 View