What should be used to instead of '='mean equal in the order, /numerically equal in value for non numerically identical events in order theory?

Suppose one has a numerical order (objective probability) that is to be represented by another numerical order F (subjective probability) .Where the events are ordered pointwise numerically. W...

09 October 2017 2,817 0 View

Is the 2 canonical probability simplex (triples)uniquely represented by a vector probability function ranked point-wise,/numerically by tself ?

Ie where the function is non negative and bounded 0

09 October 2017 7,775 1 View

Difference between an order automorphism and order isomoprhism?

Is there any difference between an order iso-morphism (often defined as a -bi-jective (or sur-jective ) order embedding and an order auto-morph-ism in the context of the same numerical domain of...

09 October 2017 5,943 16 View

Are there counter-examples to strong representability by a merely normalized probability like function? (only closed singletons , unit,0?

08 September 2017 1,034 0 View

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...

07 August 2017 4,162 2 View

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

07 August 2017 8,292 1 View

Midpoint convex monotone increasing F on closed interval rationally convex? linear with three fixed pts

presume that midpoint convex F: [0,1] to [0,1] is monotone increasing (not necessarily strictly ) F(0)=0 ,F(0.5)=0.5 F(1)=1 , As its monotone increasing and midpoint convex with F(0)=0 F(1)=1 it...

06 July 2017 1,067 0 View

Are these two pieces of notations equivalent

06 July 2017 4,258 1 View

F:[0,1]to[0,1]Functional equation,ifF(x)+F(y)=1\F(x)+F(y)+F(z)=1,cauchy's equation over the unit triangle with F(1)=1 i

Is the following function F:[0,1] to [0,1] F strictly monotonic increasing F(1)=1,(i presume this unnecessary as its specified by the first two (1)ie x+y=1 if and only iof F(x)+F(y)=1...

05 June 2017 9,884 1 View

Rendering curves parallel, point reflection symmetry versus midpoint convexity of mirror symmetric strictly increasing probabilitty functions

03 April 2017 3,447 0 View

How to repeat an operation on an atom selection for multiple times in PyMol?

Hi, I am trying to construct a multi-layer fibril structure from a single layer in PyMol by translating the layer along the fibril axis. For now, I am able to use the Translate command in PyMol...

02 March 2021 4,569 4 View

What analysis to choose with a large neste dataset and clearly skewed or kurtotic distributions?

Hello! I have a dataset of n=3000 nested within 8 countries with approximately 200 or 400 responses in each country. I originally planned to perform multilevel modelling with 4 dependent variables...

02 March 2021 6,865 1 View

Is there a deep reason for using the squared modulus of the wave function as the probability density of the existence of the particle?

I think we were all surprised at the first time we got to know quantum mechanics that the squared modulus of the wave function is the probability density of the existence of the particle? The role...

28 February 2021 6,282 9 View

How to plot the probability paper of Gumbel distribution using R programing?

In R-studio, there are many commands of Gumbel package. Arguments are also different. I`m asking about the alpha parameter of the Copula which must be greater than 1. If this is the one used to...

25 February 2021 5,229 3 View

Are there methods for automatically mapping floodplains, fans and terraces?

I want to map these river geoforms with as little subjectivity as possible. I have a high resolution DEM generated by drone data.

22 February 2021 7,800 3 View

Do I need to introduce HFD to ob/ob mice to obtain a T2DM model?

I am planning to work on T2 diabetic animals and check the efficacy of probiotics. My initial plan is to fed B6 animals with HFD for a while. But now, I have the chance to work on ob/ob mice. My...

18 February 2021 6,896 3 View

What are the options for global scale hydrology DEM?

Hello, I am working on a global scale hydrology GIS project delineating global watersheds and doing some data analysis. I have in the past used hydro1K from the USGS that cover the entire world....

18 February 2021 5,109 5 View

How can we determine the positive definiteness of multivariable polyomial? Is there any MATLAB function available for that?

Can we check the positive definiteness of a multivariable polynomial using MATLAB functions? Of course in literature, there are few complex methods that use tensor algebra. However, before going...

16 February 2021 1,218 3 View

Can I use a categorical covariate in a Generalized Linear Model in SPSS v.26?

Hello everyone, hope you are well. I am planning to use a Generalized Linear Model in SPSS. I would like to add gender to the model as a covariate, however from what I have read, only continuous...

14 February 2021 8,937 4 View

Mixed ANOVA or Multilevel modeling?

Hi everyone, I'm having some questions about choosing the right test for my experiment and I hope I can find help here! Here are the settings of the experiment: 1. participants are randomly...

14 February 2021 1,028 4 View