We establish a link between stabilizer states, rank, and higher-order Fourier analysis -- still-developing area of mathematics that grew out Gowers's celebrated Fourier-analytic proof Szemer\'edi's theorem \cite{gowers1998new}. observe $n$-qudit states are so-called nonclassical quadratic phase functions (defined on affine subspaces $\mathbb{F}_p^n$ where $p$ is the dimension qudit) which funda...

The steady trend of complication mining and geological factors in underground coal at the same time processes intensification cause growth dynamic manifestations natural mining, such as sudden gas outbursts, rock bursts, collapses, leading to dust explosions fires. This requires developing models different phenomena manifestation risks, which enable improving process safety a enterprise. In thi...

Background:  The glenohumeral joint becomes dislocated more than any other major joint because it maintains a wide range of motion and its stability is inherently weak. The most common complication following acute initial shoulder dislocation is recurrent dislocation or chronic instability. Imbalance of strength and range of motion in individuals with anterior dislocation can be a contributing ...

It has been shown that inflammation reduces the effectiveness of sympathetic nerves in the regulation of knee joint blood flow, and the joint vascular- ß adrenoceptors are changed due to acute inflammation from a majority of ß-1 to an equality of ß-1 and ß-2 receptors.. To investigate the role of sympathetic nerves in nerve induced vasoconstriction and changes in joint vascular ß-adrenoceptors ...