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1 dzień temu · In terms of the tensor algebra, ... one can reduce the claim to the well-known fact that, in Euclidean geometry, the shortest curve between two points is a line. In ... is defined in the same manner and is called the geodesic distance. In the finite-dimensional case, the proof that this function is a metric uses the existence of a pre-compact ...
1 dzień temu · The moment of inertia depends on how mass is distributed around an axis of rotation, and will vary depending on the chosen axis. For a point-like mass, the moment of inertia about some axis is given by , where is the distance of the point from the axis, and is the mass. For an extended rigid body, the moment of inertia is just the sum of all ...
1 dzień temu · The exponential function is defined on the entire domain of the complex numbers.The definition of sine and cosine can be extended to all complex numbers via = = + These can be reversed to give Euler's formula = + = When plotted on the complex plane, the function for real values of traces out the unit circle in the complex plane.. When is a real number, sine and cosine ...
