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What is the difference between dimensionality and degrees of freedom? The standard definition of degrees of freedom is "number of variables that make up the sta
by lvh 7y ago
What is the difference between dimensionality and degrees of freedom? The standard definition of degrees of freedom is "number of variables that make up the state of the system" and the definition of the dimensionality of the state vector is...
- jholloway7 7y agoThere is no difference. I think people just get hung up on the word 'dimension' in the sense of degrees of freedom in a spatial state vector (to reuse your terms). Perhaps these are people who learned linear algebra only in the context of spatial dimensions / geometry and have never had to apply the concepts to any other problem domain.