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

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

Could you recommend any books about Number Theory?

Beginner level books. High level books. Analytical Number Theory. Algebraic Number Theory. Combinatorical Number Theory. Books about partitions. Books about primes.

03 March 2021 7,174 5 View

How to analyze a particular region of my simulation box in GROMACS?

Hi, I am using GROMACS 5.1.4 to simulate water in contact with a surface. I am only interested to calculate some properties of water near the surface. Let's say at a distance of x nm from the...

03 March 2021 9,989 2 View

What is your perception on using visual analysis or quantitative approaches to evaluate data from single-case research designs (n of 1 trials)?

Results of single-case research designs (i.e., n-of-1 trials) are often evaluated by visually inspecting the time-series graph and computing quantitative indices. A question our research team is...

03 March 2021 687 1 View

Arena simulation - how do i model the following model in ARENA (see description) (new to ARENA)?

Hello, I'm fairly new to ARENA and I have the following problem: I have two queues in which, in each queue, a different order type arrives (both having an arrival rate of exponential 10). Order...

02 March 2021 2,431 3 View

How to quantitative analize the data of TNBS assay for gelatin?

Estemeed colleagues, I found some issues regarding the quantification of the data for TNBS assay. There are different protocols on how to perform that but it is clear to me the "fil rouge" that...

02 March 2021 2,616 1 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

Sample dilution for quantitative analysis using ELISA?

If the detection range is in ng/ml but the reference range is in ug/ml for a molecule or protein in serum or plasma .how to dilute and what is the initial volume to be taken for quantitative analysis

02 March 2021 7,670 3 View

What is the characteristic length to determine the Reynolds number for the scattered turbulent fluid flow?

Dear all, I just saw this example in FB on the difference between laminar flow and turbulent flow. The flow from a pipe hits the sink and scattered. The flow from the pipe is characterized as...

02 March 2021 1,999 5 View

Why almost every element would be metallized in sufficiently high pressure and low temperature?

(This statement is from wikipedia, BTW). What is so special about metallic bond that is limiting high-P low-T state of a matter (as long as individual atoms exist, not white dwarf of neutron star...

02 March 2021 3,309 2 View

Is there a powerful system for the security of the systems distributed on IoT systems?

Is there a powerful system for the security of the systems distributed on IoT systems?

02 March 2021 3,858 10 View