"positive" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- For positive definiteness, take a nondegenerate representation of .
- (This identification turns the positive semi-definiteness above into positive definiteness.)
- This is not to be confused with a seminorm or pseudonorm, where the norm axioms are satisfied except for positive definiteness.
- Conditions 1 and 2 together produce positive definiteness.
- However, the discrete distance of a number from zero does satisfy the other properties of a norm, namely the triangle inequality and positive definiteness.
- For Hermitian matrices, the leading principal minors can be used to test for positive definiteness.
- This is then a metric; the positive definiteness follows of the injectivity of the differential of an immersion.
- The first two conditions listed above on the signs of these minors are the conditions for the positive or negative definiteness of the Hessian.
- Note that condition 1 and 2 together produce positive definiteness
- Hence, can be compared to zero, and the requirement of positive definiteness in the definition of inner product makes sense.
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