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From 1908 until 1911 he endeavoured to apply this, but a dilemma arose from which he did not escape until 1912, when he conjectured that the space-time continuum had a Riemann metric.

Diffusion tensor magnetic resonance imaging (DT-MRI) is a non-invasive imaging technique allowing to estimate the molecular self-diffusion tensors of water within surrounding tissue. Due to the low ...

Riemannian geometry has been successfully used in many brain-computer interface (BCI) classification problems and demonstrated superior performance. In this paper, for the first time, it is applied to ...

COMSOL Multiphysics simulations support that the electrochemo-mechanics of silicon are curvature-dependent. These findings point toward design strategies for 3D architected silicon anodes with ...

robotics computer-graphics matrix mathematics coordinate-systems quaternion differential-geometry curvature tensor general-relativity matrix-calculations vector-field tangent-space riemann-curvature ...