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

Do strong qualitative probabilistic representations over finite sets constitute order isomorphisms when not unique or an order emebdding without =?

When a complete comparative qualitative probability order defined over a finite but complete power algebras that is complete in the order. \forall events in P(\omega): A

09 October 2017 1,949 0 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

Resistor definition in Piezoelectric bimorph with ANSYS workbench

Hello, good day! I am trying to simulate similar bimorph piezoelectric harvester with below commands. However, the output power doesn't change with resistor value. Please help to find the reason. ET,10,CIRCU94,0 !SET UP RESISTOR R,1,100000 !RESISTANCE VALUE TYPE,10 !SET ELEMENT TYPE E,1,2 !CREATE RESISTOR BETWEEN NODES 1 AND 2 Thanks in advance Regards,

02 March 2021 0 0 View

Why are the velocities so high in my Boussinesq approximation Fluent simulation?

Hello, I have a mechanism where air rises due to convective flows. In this simulation, nothing is driving the air except this. I understand that the Boussinesq approximation only works for small...

02 March 2021 4,910 3 View

High aspect ratio hexahedral mesh optimization solver?

I am interested in evaluating mesh optimization solvers that converge to high aspect ratio unstructured hexahedral grids. In other words, I am interested in a solver that optimizes warpage,...

26 February 2021 7,279 2 View

What are the application of Fixed points thoery in Chemistry.?

It is said that fixed point theory has lot of applications not in the field of mathematics only but also in various areas. So I am looking for applications in Chemistry only..

26 February 2021 3,533 1 View

Has anyone used the Illumina ITS1 primer sets?

Hi everyone, Illumina provides a list of primers to amplify with high taxonomic coverage the ITS1 region for further fungal sequencing, but I cannot find the exact amount necessary of each...

25 February 2021 6,969 3 View

How do you mesh a thin solid in Fluent?

Hello, I have used the shell function on SpaceClaim to create thin solids for the model I am studying. These are contained within an enclosure for my study. I chose this approach as it avoids the...

24 February 2021 8,856 3 View

How to interpolate from a time-series database ?

Hi, I am having trouble with a problem, in the field of Optimal Control and the generation of optimal time-series. Let's consider a system, whose dynamics are represented by dx/dt =...

24 February 2021 9,105 2 View

Can I ask did any good platform or journals for learning the calcluation on the reference governors and command governor?

Recently I face some problems with the mathematical ( calculation) on the reference governor and command governor, so I need some help from you all to get which platform or journal can let me...

23 February 2021 7,746 2 View

Special issue on PLS-SEM in Mathematics. Are you interested?

21 February 2021 5,601 3 View

What is the better software for approximation of 3D surface with equations?

I have a massive of x, y, z coordinates of 2D surface in 3D space, which builded in Ansys HFSS or AutoCAD. How can I get the analitical aproximation of this surface by formulas?

21 February 2021 3,444 7 View