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theorem
has definitions from the fields of mathematics,logic
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[ noun ] (mathematics,logic) a proposition deducible from basic postulates
Used in print (Kenneth Hoffman and Ray Kunze, Linear Al...)The theorem which we prove is more general than what we have described , since it works with the primary decomposition of the minimal polynomial , whether or not the primes which enter are all of first degree . The reader will find it helpful to think_of the special case when the primes are of degree 1 , and even more particularly , to think_of the proof of Theorem 10 , a special case of this theorem . The reader will find it helpful to think_of the special case when the primes are of degree 1 , and even more particularly , to think_of the proof of Theorem 10 , a special case of this theorem . Since * * f are distinct prime polynomials , the polynomials * * f are relatively prime ( Theorem 8 , Chapter 4 ) . In the notation of the proof of Theorem 12 , let us take_a_look at the special case in which the minimal polynomial for T is a product of first degree polynomials , i.e. , the case in which each * * f is of the form * * f . Related terms |
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[ noun ] an idea accepted as a demonstrable truth
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