How to plot the surface $z=\sum_{n=0}^100 x^{2-n}y^{n/2}$ for $0<x,y<10$ in MATLAB ?

How to plot the surface $z= f(x,y)=\sum_{n=0}^100 x^{2-n}y^{n/2}$ for $0

05 June 2018 242 7 View

As we know that the double sequence $x_{mn}$ represents an infinite matrix, in the similar way how we represent a triple sequence $x_{lmn} $ ?

How we represent a triple sequence?

08 September 2017 9,115 2 View

How could we represent a four dimensional identity matrix ?

06 July 2015 6,638 10 View

Is there any name of a matrix with all elements above super diagonal position at zero?

31 December 2014 5,368 6 View

What is the limiting value of (sin x)^x as x tends to 0 ?

What is the limiting value of (sin x)^x as x tends to 0 ?

11 December 2014 1,174 0 View

Is there any formula to find the nth root of a Matrix ?

We know square root of a matrix, but in general what is the fractional and non-integral power of a non zero matrix ?

08 September 2014 4,318 1 View

What is the time complexity for the inversion and determinant of a triangular matrix of order n?

By backward and forward substitutions we calculate the inverse of a triangle. How far is it better than the determinant method concerning the running time?

03 April 2014 5,441 5 View

Is there any series expression of the Euler gamma function?

Although there are many singularities of Euler gamma function in negative real axis, but for the positive axis the function is well defined.

02 March 2014 2,394 9 View

Is there any geometrical relation between fractional calculus and fractal ?

Of course there are some concepts of fractional calculus that are co-related to fractal. But how are they geometrically related ?

02 March 2014 2,374 3 View

Does Laplace transform of e^{t^2} exist ?

Although, the function e^{t^2} is not exponentially bounded and due to linearity of Laplace transform we may write L {(e^{t^2}}=L{1+t^2+(t^4)/2!+(t^6)/3!+....}...

01 February 2014 3,439 4 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

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

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 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

No streamlines present in a small region inside a flow. This means exactly what?

No streamlines present means whether the flow is getting obstructed there and the velocity inside the region is zero? Or else, the fluid is trapped inside that region with a nonzero velocity?...

22 February 2021 5,249 10 View

How to solve the fatal error "the entire source was rejected" in MCNP?

Simple geometry was made having concentric cylinders bounded by a square region. The geometry has a reflective boundary. The source was defined at one point in the boundary and when it had been...

17 February 2021 4,364 3 View

How complex systems physics/statistical mechanics would be helpful for particle physics & Networking?

Recently, I've been selected for an ICTP program named Physics of Complex Systems. But, I have a keen interest in Particle Physics & Quantum networks. As statistical mechanics involved in...

11 February 2021 699 3 View

Applications of General Multiple Sums?

Does anyone know of applications of multiple sums of a sequence? I know of the Multiple Zeta values (which is a multiple sum of 1/N^s). This has multiple applications in quantum physics, QED,...

08 February 2021 8,047 12 View