What context can I use each word in?
Learn when and how to use these words with these examples!
semidefinite
Example
The covariance matrix is a symmetric and positive semidefinite matrix. [semidefinite: adjective]
Example
The semidefinite program can be solved using interior-point methods. [semidefinite: noun]
indefinite
Example
The Hessian matrix is indefinite if it has both positive and negative eigenvalues. [indefinite: adjective]
Example
The integral is indefinite and cannot be evaluated. [indefinite: adjective]
Example
The word 'something' is an indefinite pronoun. [indefinite: noun]
Good things to know
Which word is more common?
Indefinite is a more common word in everyday language, while semidefinite is a technical term used primarily in mathematics and engineering.
What’s the difference in the tone of formality between semidefinite and indefinite?
Semidefinite is a more formal term used in technical fields, while indefinite has broader usage in both formal and informal contexts.
