Wath is best problem based note or book in commutative algebra and homology?

How can we determine the positive definiteness of multivariable polyomial? Is there any MATLAB function available for that?

Can we check the positive definiteness of a multivariable polynomial using MATLAB functions? Of course in literature, there are few complex methods that use tensor algebra. However, before going...

16 February 2021 1,218 3 View

Is there any research Mathematical perceptions depending on type of personalities?

My dissertation thesis is Perceptions of mathematical ceonceptions depending on Myers-Briggs Type Indicator personalities. It can includes methods of solving, understanding, imaginations of math...

07 February 2021 9,880 4 View

Matrix based scientific data analysis: extrapolating to matrices of sets?

Data sets, when structured, can be put in vector form (v(1)...v(n)), adding time dependency it's v(i, t) for i=1...n and t=1...T. Then we have a matrix of terms v(i, j)... Matrices are important,...

30 January 2021 9,295 6 View

Best books to self study number theory and especially diophantine equations?

Hi, I'm an undergraduate math student. I've already passed linear and abstract algebra and recently passed a course in elementary number theory and I really enjoyed it. now I wanna self-study more...

25 January 2021 4,279 17 View

Algebraic Loop Problem in PV array Solution?

I am doing a project with PV array in Simulink. When I run small section of the total system i do not get an error. But when i integrate full system(my system model`s are completely okay) I get an...

18 January 2021 685 10 View

Is there a link between the Chu-construction and the Cayley-Dickson-construction ?

The Chu-Construction allows to obtain a *-autonomous category from the data of a closed symmetric monoidal category and a dualizing element. The Cayley-Dickson-construction builds an algebra B =...

06 January 2021 7,737 10 View

What mathematics is needed to program quantum computers?

Quantum programming As we know, old computers work according to the rules of Boolean logic and classical set theory . On the other hand there is a discussion about quantum computers nowadays. If...

21 December 2020 275 4 View

4D rotations and rotors.. can a general expression be derived?

I recently asked in math stackexchange a question regarding 3D rotations in geometric algebra https://math.stackexchange.com/questions/3922021/angle-and-plane-of-rotation-in-3d-geometric-algebra....

07 December 2020 5,630 26 View

How can to calculate the Computational complexity/cost (espatially, number of operations and space/memory cost) for an algorithm?

As we know, computational complexity of an algorithm is the amount of resources (time and memory) required to run it. If I have algorithm that represents mathematical equations , how can estimate...

25 November 2020 6,950 7 View

Do you know a reference on action of Heisenberg-Weyl algebra on some basis states?

I am looking for references on Heisenberg-Weyl algebras, namely I am interested in the action of algebra elements on some basis states, i.e. matrix elements in a certain basis.

12 November 2020 181 3 View