21. :: : About those high degree polynomial equations , what is really meant by " algebraic methods "? 22. Polynomial transformations have been applied to the simplification of polynomial equations for solution, where possible, by radicals. 23. This allows us to show that a type is determined exactly by the polynomial equations it contains. 24. Here we describe a commonly used polynomial equation to express the temperature dependence of the heat content. 25. A system of polynomial equations which has fewer equations than unknowns is said to be "'underdetermined " '. 26. Also in 1840 he devised a mechanical computer capable of solving numerically polynomial equations up to degree seven. 27. This means that they cannot be embedded in any projective space as a surface defined by polynomial equations . 28. Where " f " is a polynomial equation and " I " is a conjunction of polynomial equations . 29. In broad terms, a constructible set is the solution set of a system of polynomial equations and inequations. 30. Polynomiography is the algorithmic visualization of polynomial equations , making use of one or more of these iterative techniques.
