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multidimensional space

mathematics

Quick Summary

In mathematics, "dimension" extends the concept of length, width, and height to higher numbers of measurements needed to define a point. A line is one-dimensional, a plane is two-dimensional, and our everyday space is three-dimensional. However, mathematicians and physicists also study spaces with more dimensions, such as four-dimensional spacetime, where three numbers locate a point in space and one number indicates time.1

These higher-dimensional spaces, including infinite-dimensional ones, are crucial in fields like quantum field theory and are fundamental to modern physics, including theories of relativity and superstring theory. The concept of fractional dimension, introduced by Felix Hausdorff, has also proven useful, particularly in the study of fractals.1

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