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Pseudo-Euclidean space

 Home Mathematics Fields of mathematics Applied mathematics Mathematical physics Lorentzian manifolds
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Pseudo-Euclidean space is a generalization of Euclidean space that allows for a more flexible notion of distance and angle, accommodating both positive and negative squared distances. This concept is typically encountered in the field of mathematics, particularly in differential geometry and theoretical physics. In a standard Euclidean space, the metric used to measure distances is positive definite, meaning that the distance squared (the metric) is always non-negative.

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