Abstract: In this article, we propose a numerical method for calculating solutions of the PDE (the heat equation for the cathode temperature ... to mathematical modeling of field emission from a conic ...

Define and recognise the equations of conics, in Cartesian and polar coordinates; • Investigate curves in 3D, find their length, curvature and tension; • Proficiency in calculus and its application to ...

Black hole singularities should not exist, according to theories of quantum mechanics. New tweaks to Einstein's equations of ...

But every now and then, I stumble upon one of those viral math problems circulating on social media, and for a split second, ...

A breakthrough by a Pennsylvania State University student has breathed new life into a century-old aerodynamic equation, ...

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

An equation is a statement with an equals sign, stating that two expressions are equal in value, for example \(3x + 5 = 11\) Solving an equation means finding the value or values for which the two ...

Italy is often thought of as a political laboratory, anticipating events in other countries: fascism in the 1920s; the showman-businessman turned politician in the 1990s; populism in the 2010s. Great ...

Condition (7) ensures that the matrix in (3) has diagonal form. Let be a unit vector orthogonal to the unit normal vector of the plane, so that Equations (4) hold. A suitable vector is obtained as a ...

Sudan crisis: Military recaptures Republican Palace in Khartoum—What happened and why it matters Sudan's military has recaptured the Republican Palace in Khartoum from the paramilitary Rapid ...

With Julius, you can solve complex math equations, including algebra, calculus, and trigonometry, by simply scanning the problem. It provides detailed, step-by-step explanations to ensure users fully ...

The following strain energy density function (SEDF) for a nearly-incompressible material was used to model corneal tissue behavior (Equation 1, Wang and Hatami-Marbini, 2021): ...