The relationship between symmetry fields and first integrals of divergence-free vector is explored in three dimensions light its relevance to plasma physics magnetic confinement fusion. A Noether-type theorem known: for each such symmetry, there corresponds a integral. extent which the converse true investigated. In doing so, reformulation this found holds on what called toroidal region. Some c...

The paper proposes a technique for automated construction of the surface tugboat. features preparation initial data formation ordinates theoretical drawing are indicated. tugboat considered. main problems their associated with presence tunnel lines, transom and broken frames identified. program tools described in relation to editing position points drawing, lines vessel as whole. A process cons...

Brain imaging techniques such as functional magnetic resonance imaging (fMRI) have forged an impressive link between psychology and neuroscience. Whereas most experiments in cognitive psychology require participants to perform while sitting upright in front of display devices, fMRI obliges participants to perform cognitive tasks while lying supine and motionless inside a narrow bore. In additio...

Understanding advanced physical phenomena such as vertically hanging elastic column, soap bubbles, crystals and cracks demands expressing and manipulating a system’s potential energy under equilibrium conditions. However, students at schools and universities are usually required to consider the forces acting on a system under equilibrium conditions, rather than taking into account its potential...