polynomial equation वाक्य
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- Originally, Galois used permutation groups to describe how the various roots of a given polynomial equation are related to each other.
- Khi is designed to reflect arterial resistance; compliance is a multivariate polynomial equation that continuously quantifies arterial compliance and vascular resistance.
- This is defined in analogy with the classical Zariski topology, where closed sets in affine space are those defined by polynomial equations.
- The concept can also be applied to more general systems of equations, such as systems of polynomial equations or partial differential equations.
- Resultants were introduced for solving systems of polynomial equations and provides the oldest proof that there exist algorithms for solving such systems.
- A Diophantine equation is a ( usually multivariate ) polynomial equation with integer coefficients for which one is interested in the integer solutions.
- For a set of polynomial equations in several unknowns, there are algorithms to decide whether they have a finite number of complex solutions.
- The elements of a number field are usually represented as polynomials in a generator of the field which satisfies some univariate polynomial equation.
- The search for roots of Galois ( 1832 ) linked polynomial equations to group theory giving rise to the field of Galois theory.
- A proof exists to demonstrate that any Euclidean number is an algebraic number a number that is the solution to some polynomial equation.
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