Cubic membranes are soft three-dimensional crystals found within cell organelles in a variety of living systems, despite the aphorism of Fedorov: 'crystallization is death'. They consist of multi-bilayer lipid-protein stacks, folded onto anticlastic surfaces that resemble triply periodic minimal surfaces, forming highly swollen crystalline sponges. Although cubic membranes have been observed in...

In this paper, we propose a cubic spline interpolation method to generate desired curve path and present an integral line of sight (ILOS) control strategy for course tracking based on nonsingular terminal sliding mode enable underwater snake-like robot (USR) move towards follow the generated by parametric cubic-spline (PCSI) path-planning method, while considering disturbances caused ocean curr...

in this paper, the mer-co(nh3)3(no2)3 complex was used as a new precursor for synthesizing spinel-type cobalt oxide nanoparticles (co3o4nps).thermal decomposition of the complex at low temperature (175 °c) resulted in the co3o4nps without using expensive and toxic solvents or complicated equipment. xrd, ft-ir, sem, edx, and tem were employed to characterize the product, and its optical and magn...

We show that parity is conserved in vector-like supersymmetric theories, such as supersymmetric QCD with massive quarks with no cubic couplings among chiral multiplets, based on fermionic path-integrals. We also look into the e ect of supersymmetric breaking through gluino masses, and see that the parity-conservation is intact also in this case. This work is supported in part by NSF grant # PHY...

Imagine a sphere with its equator inscribed in an equilateral triangle. This Saturn-like figure will help us understand from where Cardano’s formula for finding the roots of a cubic polynomial p(z) comes. It will also help us find a new proof of Marden’s theorem, the surprising result that the roots of the derivative p(z) are the foci of the ellipse inscribed in and tangent to the midpoints of ...

We propose a Newton-like iteration that evolves on the set of fixed dimensional subspaces of Rn and converges locally cubically to the invariant subspaces of a symmetric matrix. This iteration is compared in terms of numerical cost and global behavior with three other methods that display the same property of cubic convergence. Moreover, we consider heuristics that greatly improve the global be...

A compact eight-transistor grounded nonlinear resistor possessing cubic-like current-voltage characteristics and optimized for low-voltage operation ( 1.5V) is designed in a 2 CMOS process. The resistor is then incorporated into the wellknown Chua’s circuit and tuned to develop the double-scroll chaotic attractor. The inherent nonlinear behaviours of a singleended differential pair and simple c...

Wireless sensor network (WSN) is a tiny sensor device about a cubic size having sensors and small battery, which enables applications that connect the physical world with pervasive networks. These sensor devices do not only have the ability to communicate information across the sensor network, but also to cooperate in performing more complex tasks, like signal processing, data aggregation and c...

The unfolding of a vector field exhibiting a degenerate homoclinic orbit of inclination-flip type is studied. The linear part of the unperturbed system possesses a resonance but the coefficient of the corresponding monomial vanishes. We show that for an open set in the parameter space, the system possesses a suspended cubic Hénon-like map. As a consequence, strange attractors with entropy close...