From a cubic millimeter of brain tissue, scientists have constructed a precise, 3D map of the activity in a mouse’s brain, ...

a secondary rotation coordinate transformation matrix is proposed. To achieve the purpose of reducing torque ripple, the fault-tolerant control method proposed in this paper not only takes the minimum ...

Lastly, the function form of the shortcuts can return a matrix representing the operation the shortcut performs. The rotation and scaling shortcuts accept an optional centerpoint for the rotation or ...

In the context of quantum physics, the term "duality" refers to transformations that link apparently distinct physical ...

VDM works because it embraces the full complexity of transformation, aligning actions across all levels while fostering truth ...

Abstract: In 1-D mirrored aperture synthesis (MAS), the antenna array arrangement and metal reflector are crucial in determining the rank of the transformation matrix. Accurate cosine visibility is ...

It starts by demystifying the central theme of the frame rotation using such algorithms as the quaternions, the rotation vector and the Euler angles. After developing navigation equations, the book ...

Traditional texture tiling methods produce visible artifacts at texture boundaries. The diamond pattern texture tiling algorithm presents a solution through overlapping rotated texture samples ...