Typical gear pressure angles, as noted above, are 14.5, 20, or sometimes 25 degrees, but in some cases, larger pressure angles may be useful. These large pressure angles can give rise to ...

Researchers at the University of Osaka have developed new mathematical models that offer new insights into the behavior of ...

Moreover, the principal and asymptotic directions of surfaces, which play important roles in analyzing the shapes of surfaces, are introduced. As an application, we introduce the Gauss-Bonnet theorem, ...