Euler’s Identity has been selected in several surveys as the most beautiful mathematical formula. It is not the appearance or typographical structure that is prized, but the concepts it embodies ...

The Alabama baseball team may be gearing up for a change in its weekend pitching rotation. Projected starters for the No. 12 Crimson Tide's home series against Mississippi State were unveiled on ...

The Circuit de Spa-Francorchamps has been given a new deal to stay on the Formula 1 schedule but will become one of the venues in rotation. Spa has been a favourite of both drivers and fans for ...

1) At the clamped support, both the deflection and the rotation of ... Bernoulli–Euler beam with a single concentrated mass of varying weight. Across different parameter settings, the deviation ...

I extract the rotation of this body from mjData which stores the orientation as quaternion. The quaternion I get is : which is way off then what the actual euler angle was originally. I have also used ...

I recently published an article about a direct formula for the conversion between a quaternion variable to Euler angles in any sequence, which can be read here (Open Access). Compared to either having ...

As a ball of ultra-hot gas, how does the sun rotate? This complex form of rotation drives some fascinating phenomena. When you purchase through links on our site, we may earn an affiliate commission.

To see this, we need to enlarge our point of view about formulas like Euler’s formula, spawned directly by infinite series, is now indispensable. What’s fantastic is that the same is true for an ...