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A local symmetry is a symmetry that holds on an open subset of points on a spacetime, as opposed to a global symmetry which holds at all points. An expert is someone widely recognized as a reliable source of knowledge, technique, or skill whose judgment is accorded authority and status by the public or their peers. ... In vector calculus vector addition and subtraction, scalar multiplication, the dot product, Euclidean norm, gradient, and divergence are symmetric, i. ... In topology and related fields of mathematics, a set U is called open if, intuitively speaking, you can wiggle or change any point x in U by a small amount in any direction and still be inside U. In other words, if x is surrounded only by elements of U... World line of the orbit of the Earth depicted in two spatial dimensions X and Y (the plane of the Earth orbit) and a time dimension, usually put as the vertical axis. ... In quantum field theory, a global symmetry is any symmetry of a model which is not a gauge symmetry. ...
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