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 set theoretic definition for Time ?

I am looking for a definition of time that address multiple goals! 1- (consistent) be consistent with no paradox with other phenomena.2- (set theoretic) can be expressed based on math notations!3-...

08 September 2016 916 0 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 is the most Operating System (OS) which can be INSTALL on Tiny hard devices like Raspberry Pi (RPi) hardware ?

I'm targeting to deploy a mesh network and manually configure MANET routing protocols. I'm preparing scenarios, architectures, and hard devices needed to do that. Are there some step-by-step...

03 March 2021 1,931 5 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

Can we classify HV and LV lines based on line length?

I have dataset which shows the length of power lines. I need to classify the lines based on the line length. Is there a rule to classify the High voltage (HV) and low voltage (LV) lines based on...

03 March 2021 4,116 4 View

Is there a classification scheme for rock cavities or caverns with respect to their size and shape?

The range of forms and sizes of cavities in rock is very big. Is there a classification scheme for rock cavities regarding their size and shape?

02 March 2021 4,511 3 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

What are the most reliable approaches to extract key continuous frames from a video, with complete automation?

I have an input video, of skin (from a microscope that means it is magnified such that blood capillaries are visible). The idea is to extract 15 sec of continuous frames from a video of 1 min,...

02 March 2021 2,735 2 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

Is There Any Feasible Method To Test Fluorescent Compounds Other Than Fluorescence Spectrometers ??

Is There Any Feasible Method To Test The Efficiency Of Fluorescent Compounds Other Than UV Spectrometers ? Suggestions Would Be Appreciated !

02 March 2021 5,785 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

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