This is a 2D orthogonal elliptic mesh (grid) generator which works by solving the Winslow partial differential equations (Elliptic PDEs ... forwards step and semi-ellipse. One can then specify the ...

Cytoplasmic areas were defined as a fixed ellipse surrounding the nucleus ... The inclusion of this parameter resulted in minor modifications to the equations, accounting for the degradation of ...

Black hole singularities should not exist, according to theories of quantum mechanics. New tweaks to Einstein's equations of general relativity could finally do away with them, and explain what truly ...

Osaka Metropolitan University physicists have developed new, simpler formulas to quantify quantum entanglement in strongly correlated electron systems and applied them to study several nanoscale ...

Researchers show that Cartan's First Structure Equation, which relates to edge and screw dislocations in crystal lattices, can be recast in the same form as a basic mathematical formula that governs ...

The trailblazing Harvard scientist, who documented the dominance of hydrogen and helium in stars, is still inspiring ...

This means equations are not always true. In the example above, \(3x + 5 = 11\), the only correct solution for \(x\) is 2. An identity is an equation which is always true, no matter what values ...

A mathematical problem solved by Susanna Heikkilä relates to the classification of quasiregularly elliptic 4-manifolds, ...

Harvard scientist Dr. Willie Soon introduces a bold hypothesis that a mathematical formula could prove the existence of God.

The relationship between quantum mechanics and classical physics has baffled scientists for decades. In the quantum world, ...