What is the mathematical definition of degenerate multivariate random variables?

what is a clear definition of degenerate multivariate random variable from measure theoretic aspect? and how can we describe them with probability density function by introducing delta function ?

03 April 2018 1,639 0 View

What are theoretical topics in differenqial equation?

i look for a list of theoretical topics in differential equation not necessarily active research topics. the topics that is the in field of a concret math and is not differential equation...

02 March 2018 3,913 7 View

What is the best abstract definition for matrix determinant?

i look for a axiomatic or abstract definition for matrix determinant . there are a lot of formulas and properties for matrix determinant but none of them uniquely and qualitatively describe matrix...

02 March 2018 6,976 10 View

What are theoretical references in differential equations?

02 March 2018 5,218 10 View

What transform or techniques can help in solving or analyzing functional differential equations?

laplace/fouriers transform and some techniques like operators/wronskian ... are useful in solving linear and nonlinear differential equations. however is any such techniques or transformation to...

11 December 2017 1,142 3 View

Which of statistical learning and machine learning works better in theory?

I wonder if there is any explanation that which of statistical learning or machine learning may work better and what is reason for that.

10 November 2017 9,628 9 View

Which software is proper for simulation of partial discharge is SF6?

05 June 2017 2,051 3 View

Can association rule be stated by mixed integer programming or other well known optimization forms?

actually i am willing to model a classic problem of association rule by a standard constraint optimization which can be nonlinear and non-convex too but with minimum number of constraints and...

08 September 2016 6,441 6 View

What is the best alternative to matlab?

Im looking for a matlab like software which is reliable and fast as matlab.both free and comercial products can be the answer.

08 September 2015 7,692 3 View

What are the research topics in software defined networks?

I am familiar with SDN, however i am looking for the recent challenges and topics which are active in SDN in academy and industry.

04 May 2015 5,172 6 View

Physics: Why do we describe light by referring to its wavelength, but microwaves and radar pulses by referring to their frequency?

In physics, the description of the properties of light generally refers to its wavelength (nm), while in the range of microwaves and radio waves we refer to the frequency of a signal (e.g. kHz or...

03 March 2021 1,682 3 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

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

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

How to address this issue in the analysis of Real-Time PCR results?

To dear Researchers, I was analyzing a series of concentration for estimation of Real-Time PCR efficiency. The concentration was 1:10. I used MS-excel to evaluate Slope. The result of slope was -8...

01 March 2021 8,683 4 View

What is the density for pva electrospining?

I'm Juan Carlos, a high school student who is working with electropinning, I made an electropinning machine with a 21g needle and a 30kv high voltage source and the distance between my needle is...

28 February 2021 298 3 View

Should we reduce the standard unit of length to 0.31951540592 meter ?

The reasoning behind this question is to align the ratios of the proton potential in energy per charge to the speed of light in distance per time. As these two dimensions appear to be related,...

27 February 2021 947 7 View

How to make a time series imputation benchmark ?

Hello ! In a work, I have to benchmark different algorithms to fill in missing values in time series. I insist on the fact that this is imputation and not forecasting. In my case, I have access...

24 February 2021 7,470 7 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