Matrix Factorisation is a math technique of factorisation a matrix into a product of matrices.
To me one of the most interesting Matrix factorization is the " Full Rank Matrix Factorization".
I was working on the Furie series and for a moment I saw the connectivity between these series and fractals. An example of this can be seen by visualizing an approximation of a square wave by...
09 October 2018 9,598 1 View
A graph G is hypohamiltonian if G does not contain a hamiltonian cycle but for any v ∈ V (G) the graph G − v does contain a hamiltonian cycle. Replacing in the preceding sentence “cycle” by...
04 May 2018 4,031 1 View
In general, we can represent a nite partial ordering set (S,
03 April 2016 3,924 7 View
The use of the Golden Ratio in works of art is now known as the technique of dynamic symmetry. As an illustration, the painter Georges Seurat in his painting La Parade from 1888, carefully...
07 August 2014 5,746 16 View
Graph theory and mathematical logic, are both parts of Discrete Mathematics syllabus. Some logical equalities can be express by rooted trees.
04 May 2014 994 22 View
see above
02 March 2014 4,395 5 View
Quaternions are best described as a non-commutative extensions of the complex numbers. While complex numbers are obtained by adding the element i to the real numbers, where i^2=-1 , quaternions...
11 December 2013 6,833 7 View
Could you recommend some articles on Urban Transportation System optimization and Innovation?
13 August 2024 2,595 3 View
I need to model an anisotropic material in which the Poisson's ratio ν_12 ≠ ν_21 and so on. Therefore, the elastic compliance matrix wouldn't be a symmetric one. In ANSYS APDL, for TB,ANEL...
09 August 2024 5,048 2 View
One can try to generalize the Vandermonde determinant in the following direction: Let $A$ be any symmetric $n$-order square matrix. Consider its powers' diagonal elements $(A^k)_{ii}$ and...
08 August 2024 6,690 1 View
Have you ever seen a LC-MS/MS method uses both internal standards and external standards (in matrix matching purpose) but the concentrations of internal standards are outside the calibration curve...
05 August 2024 3,084 6 View
- The Existence/Uniqueness of Solutions to Higher Order Linear Differential Equations - Higher Order Homogenous Differential Equations - Wronskian Determinants of $n$ Functions - Wronskian...
03 August 2024 2,366 0 View
I need to lyse and homogenise mouse tissues. So far I have experimented with liver and lung tissue, using matrix D. The liver was completely lysed with 6 repetitions of the standard program, but...
31 July 2024 9,186 0 View
We assume this to be true. Science leaves the era of mathematics and enters the era of matrix mechanics and the turning point is the discovery of numerical statistical theory called Cairo...
31 July 2024 3,900 2 View
Hello everyone What is your opinion about the introduction of an expert decision support system in which the rules are extracted from existing data without human intervention, instead of being...
31 July 2024 5,785 4 View
I am new to Micromechanics and having similar problem with understanding the implementation of the formula's. I would appreciate if anyone can guide me on how to go about getting a scalar value...
30 July 2024 969 0 View
After a lot of feature engineering for click-through rate modeling, it feels like it's basically the end of iteration? I mean, it's not cost-effective to keep doing it?
29 July 2024 4,955 0 View