William Balthes

7 Questions 75 Answers 0 Followers

Questions related from William Balthes

Is the Canonical unit 2 standard probability simplex closed under all and only convex combinations of two values and which sum to any value in (0,1)?

Is the canonical unit 2 standard probability simplex, the convex hull of the equilateral triangle in the three dimensional Cartesian plane whose vertices are (1,0,0) , (0,1,0) and (0,0,1) in...

08 August 2017 7,037 2 View

State dependenent additivity and state indenpendent additivity ; akin to the cauchy kolmorgov additivity distinction?

State dependent additivity and state independent additivity? ; akin to more to cauchy additivity versus local kolmorgov additivity/normalization of subjective credence/utility, in a simplex...

06 August 2017 2,389 1 View

N=>3 f^1(v),f^2(v),..f^n(v) non trivial polynomials on the same domain V=[0,1] that sum to one for all elements of v, and min ?

I was wondering if there are any set of n; n>=3continuous or somewhat smooth functions (certain polynomials), all of which have the same domain [0,1] f^n(min,max):[0,1] \to[min,max]; where...

05 February 2017 6,096 4 View

Is there bi-jective, analytic function of two variables from R^2 to the unit 2 probability simplex in R^3 ?Do probability triples go missing?

Is there exist at least 9 distinct a bi-j-ective, diffeomorphic& homoeomorphic. analytic functions F(x,y), dom i of two variables in the x,y, cartesian plane F(x,y); dom...

01 January 1970 3,161 27 View

Path polarization and yes-no strong contextuality/perpectivalism

And are there some stronger forms of contextuality then independent state contextuality or algebraic/ontic/measurement contextuality, Where I use stronger meaning, smaller differences in context,...

01 January 1970 8,740 2 View

F(1-x)+F(x)=1; what is the name of this functional equation and in biconditional form

What is the name for the identities (2) and (3) in the functional analysis literature F-1(is the inverse function? where (1) F:[0,1] to [0,1] and F is strictly monotonic increasing where F(0)=0,...

01 January 1970 2,340 31 View

Under what conditions if any can a continuous,convex function with three fixed pts be non-linear;what about midpoint convexity and star convexity

Consider a continuous and convex function (not necessarily presumed to be differentiable that is such that F:[0,1]\to [0,1] F is continuous and convex F(0)

01 January 1970 7,651 26 View