In this paper, we define X-slant helix in Euclidean 3-space and we obtain helix, slant helix, clad and g-clad helix as special case of the X-slant helix. Then we study Darboux, tangential darboux developable surfaces and their singular points. Especially we show that the striction lines of these surfaces are singular locus of the surfaces.

Dual representations of the Bertrand offset-surfaces are specified and several new results gained in terms their integral invariants. A description offsets developable surfaces is given. Furthermore, relationships through striction curves ruled invariants obtained.

The dynamic necking instability of a rod of a non-linear viscoplastic material as formed in shaped charges is investigated. A two-dimensional linear Lagrangian perturbation method leads to a single fourth order partial differential equation with time-dependent coefficients. The growth of disturbancies depends of the interplay between the stabilizing inertial and viscous effects, and the destabi...

Resonant magnetic x-ray scattering at the Gd L2 edge is used to investigate the magnetic order of the Gd moments in multiferroic GdMnO3 at low temperatures. We present high magnetic field data on the magnetic ordering of Gd in the ferroelectric phase of GdMnO3. Our findings reaffirm the important role of the Gd moments in the symmetric magnetic exchange striction responsible for ferroelectricit...

pyelography combined with pneumoretroperitoneum and by aortography. After the operation, improvement in urinary findings and in the renal function was noted in several cases. Irrespective of duration of chemotherapy, tubercle bacillus was demonstrated in the cavities of 6 cases. In all cases, where cavity con striction was carried out, postoperative fistula closed within 2 weeks, while in some ...

In this paper, firstly the ruled surface drawn by Darboux vector is expressed as a quaternion. Then, spatial quaternionic definition of striction curve given and integral invariants are calculated. Finally, which corresponds to dual derived with help quaternions obtained.

We use femtosecond electron diffraction to study ultrafast lattice dynamics in the highly correlated antiferromagnetic (AFM) semiconductor NiO. Using scattering vector ($Q$) dependence of Bragg diffraction, we introduce $Q$-resolved effective temperatures describing transient lattice. identify a nonthermal state with preferential displacement O compared Ni ions, which occurs within $\ensuremath...

We report discovery of collinear-magnetism-driven ferroelectricity in the Ising chain magnet Ca3Co2-xMn(x)O6 (x approximately 0.96). Neutron diffraction shows that Co2+ and Mn4+ ions alternating along the chains exhibit an up-up-down-down ( upward arrow upward arrow downward arrow downward arrow) magnetic order. The ferroelectricity results from the inversion symmetry breaking in the upward arr...