minimal polynomial sentence in Hindi
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- The minimal polynomial for ( hence ) is a factor of.
- Using the minimal polynomial of the next smallest Pisot Vijayaraghavan number gives,
- Minimal polynomials are useful for constructing and analyzing field extensions.
- In the second case, it follows that is the minimal polynomial of.
- Minimal polynomials are also used to define conjugate elements.
- Now we just need to find its minimal polynomial.
- Therefore, is irreducible over by, and the minimal polynomial for is of degree.
- While the Jordan normal form determines the minimal polynomial, the converse is not true.
- The minimal polynomial is often the same as the characteristic polynomial, but not always.
- Because has the same complex roots as the minimal polynomial and because it is real it follows that
- Let an algebraic extension of a field, generated by an element whose minimal polynomial has degree.
- Although the quadratic integers belonging to a given quadratic field form a minimal polynomial of degree four.
- :: As for minimal polynomials : sorry I wasn't more clear on this point.
- The "'minimal polynomial "'is thus defined to be the monic polynomial which generates.
- We then compute the minimal polynomial of random elements of F until we find an element with order 15.
- If 60?could be trisected, the degree of a minimal polynomial of over would be a power of two.
- This is the minimal polynomial of " a " and it encodes many important properties of " a ".
- In this case, if is the image of in, the minimal polynomial of is the quotient of by its leading coefficient.
- The factors of the minimal polynomial " m " are the elementary divisors of the largest degree corresponding to distinct eigenvalues.
- Subtracting one side from the other, factoring, and disregarding trivial factors will then yield the minimal polynomial of certain Salem numbers.
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