Sentence examples for equations of degree from inspiring English sources

The ideas needed to investigate equations of degree higher than four were slow to develop.

Mathematicians for a long time had used explicit formulas, involving only rational operations and extractions of roots, for the solution of equations up to degree four, but they had been defeated by equations of degree five and higher.

So we may assume that solving the diopantine equations of degree increasing type is hard in general.

In this paper we have not studied the hardness of solving diophantine equations of degree increasing type.

This corresponds to a system of fractional differential equations of degree α = 0.5 in the time-domain.

The second part of Hilbert's sixteenth problem concerned with the existence and number of the limit cycles for planer polynomial differential equations of degree n.

The first was to establish the existence of a root of the general polynomial equation of degree n.

The latter spoke disdainfully of the poor quality of French mathematicians and challenged the king with a problem posed by Adriaen van Roomen, professor of mathematics and medicine at the University of Louvain (Belgium), to solve a certain algebraic equation of degree 45.

The same Christoffel equation is solved into a polynomial equation of degree eight.

The problem is transformed to a single polynomial equation of degree eight and is solved by Laguerre's iteration.

The intersection of ray with a cylinder (respectively a plane) leads to the resolution of an equation of degree 2 (respectively of degree 1).