Inversionssymbol

Inversionssymbol is a general term used to describe a sign or notation that denotes inversion in various scientific and mathematical contexts. It is not a fixed symbol; instead, the specific mark or notation depends on the field and the operation described.

In mathematics and logic, the inverse of a function f is denoted f^{-1}, and the inverse image of a set B under f is written f^{-1}(B). The minus-one superscript is widely recognized as an inversion operator, indicating reversal of direction or mapping, provided f is bijective for an actual inverse.

In music theory, inversion refers to rearranging the notes of a chord so that a different note becomes the bass. In common practice notation, this is shown with figured bass numbers, such as 6 for first inversion and 6/4 for second inversion. The numeric figures function as inversion indicators rather than a single universal symbol.

In crystallography and other symmetry contexts, inversion through a point (center of symmetry) is a specific operation denoted by the symbol i, transforming coordinates (x,y,z) to (-x,-y,-z).

In practice, the term Inversionssymbol is used sparingly; specialists usually refer to the concrete symbol in use (for example, f^{-1}, i for inversion, or 6/4 for a second inversion).