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Equation 12 · Part 1 · The Bit Comes Back Before the Bearing

Symbol U

U(1)U(1)
UU

What this part means

U is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

U is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

The single-axis U(1) choice above is deliberate rather than a simplification smuggled in for convenience. A compass, in the ordinary sense of the word, reports one angle against one fixed axis; a full SU(2) orientation, tracking three Euler angles against a Cartesian triad, is the harder and more general problem…

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the surrounding passage

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