Abstract In response to an open problem raised by S. Rabinowitz, we prove that $$ \begin{align*} \begin{array} [c]{l} \left( x^{2}+y^{2}\right) {}^{2}+8y\left( y^{2}-3x^{2}\right) \right) {}^{2}+432y\left( 351-10\left( \\ =567^{3}+28\left( {}^{3}+486\left( 67\left( -567\times18\right) \end{array} \end{align*} is the equation of a plane convex curve constant width.

The authors have shown in Courcelle et al. (1982) that certain attribute systems called strongly noneireular can be translated into recursive program schemes taking derivation trees as arguments and called primitive reeursive schemes with parameters. In particular, the equivalence problem for strongly noncircular attribute systems reduces to the equivalence problem for the latter class of progr...

A novel method for distributed estimation of the frequency of power systems is introduced based on the cooperation between multiple measurement nodes. The proposed distributed widely linear complex Kalman filter (D-ACKF) and the distributed widely linear extended complex Kalman filter (D-AECKF) employ a widely linear state space and augmented complex statistics to deal with unbalanced system co...

For isotropic fluids, classical nucleation theory predicts the nucleation rate, barrier height and critical droplet size by ac- counting for the competition between bulk energy and interfacial tension. The nucleation process in liquid crystals is less understood. We numerically investigate nucleation in monolayered nematogenic films using a mesoscopic framework, in par- ticular, we study the mo...

A method is proposed for reconstructing the full vector velocity eld (i.e., the three velocity components) in the gaseous disks of spiral galaxies from observed radial velocities. The method is based on Fourier analysis of the observed velocity eld and interpretation of the resulting Fourier harmonics in the framework of a model accounting for motion in the spiral arms. The model is based on th...

Flowing granular materials segregate due to differences in particle size (driven by percolation) and density (driven by buoyancy). For noncircular tumblers the additional interaction between the segregation mechanisms and chaotic advection complicates the physics. Experiments are performed using a bi-disperse mixture of equal volumes of different sizes of steel and glass beads in a quasi-two-di...

A cylindrical elastomer tube can stay in an everted state without any external forces. If the thickness of the tube is small, the everted tube, except for the regions close to the free ends of the tube, maintains a cylindrical shape, and if the thickness is larger than a critical value, the cross-section of the everted tube becomes noncircular, which is caused by mechanical instability. Althoug...

Pure electron plasmas are routinely confined within cylindrically symmetric Penning traps. In this paper the static and dynamic properties of plasmas confined in traps with applied electric field asymmetries are investigated. Simple analytical theories are derived and used to predict the shapes of the stable noncircular plasma equilibria observed in experiments. Both analytical and experimental...

seismic base isolation are devices that used to limit the human and material damage caused by an earthquake. this devices diffuse the energy induced at the time of the earthquake before being transferred to the structure.the base isolated structures when subjected to the near-fault eathquakes which contain long-period velocity pulses that may coincide with the period of base isolated structures...