User:Sintel/Dual Weil-Euclidean norm: Difference between revisions
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\end{bmatrix} </math> | \end{bmatrix} </math> | ||
Then the block matrix <math>X</math> obtained from these | Then the block matrix <math>X</math> obtained from these: | ||
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and an induced norm <math>||x|| = \sqrt{\left\langle x,x \right\rangle}</math>, which | and an induced norm <math>||x|| = \sqrt{\left\langle x,x \right\rangle}</math>, which is the [[Weil_Norms,_Tenney-Weil_Norms,_and_TWp_Interval_and_Tuning_Space#Weil-Euclidean_Norm|Weil-Euclidean norm]]. | ||
The inner product on the dual space can then be derived by simply inverting <math>G</math>, which gives the dual norm: | The inner product on the dual space can then be derived by simply inverting <math>G</math>, which gives the dual norm: | ||