Correct Syntax Errors from Translated Wiki Text

Translations of MediaWiki source texts e.g. with Google Translate generate syntax errors especially in mathematical expressions. This tool fixes these problem partially and reduces the editing work.

The measurement problem can easily be extended to <math> n </ math> dimensional spaces; this encompasses the dimensions 1, 2 and 3 accessible to intuition, whereby one then has to do with length, area or volume measurement. The dimension problem in <math> n </ math> dimensions is:

Is there an illustration <math> \ mu_n: {\ mathcal P} ({\ mathbb R} ^ n) \ rightarrow [0, \ infty] </ math> with the following properties:
* '' Positivity '': <math> \ mu_n (A) \ ge 0 </ math> for all <math> A \ subset {\ mathbb R} ^ n </ math> (this condition is already in the default of the [[image (mathematics) | image area]] of the figure),
* '' Congruence '': <math> \ mu_n (A) \, = \, \ mu_n (B) </ math> if '' A '' and '' B '' are congruent,
* '' Normality '': <math> \ mu_n ([0,1] ^ n) \, = \, 1 </ math>,
* <math> \ sigma </ math> - '' Additivity '': <math> \ mu_n (\ bigcup_ {i = 1} ^ \ infty A_i) = \ sum_ {i = 1} ^ \ infty \ mu_n (A_i ) </ math> if <math> A_i \ cap A_j = \ emptyset </ math> for <math> i \ not = j </ math>?

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