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Math ABC
Math ABC

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Shilnikov chaos due to state-dependent delay, by means of the fixed

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... B. Determine whether the lines through the pairs of points are parallel, perpendicular, or neither. 5) (2, 5) and (-2, 7); (0, 4) and (1, 6) _________________________________ ...
< 1 ... 181 182 183 184 185 186 187 188 189 ... 449 >

System of polynomial equations

A system of polynomial equations is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in several variables, say x1, ..., xn, over some field k.Usually, the field k is either the field of rational numbers or a finite field, although most of the theory applies to any field.A solution is a set of the values for the xi which make all of the equations true and which belong to some algebraically closed field extension K of k. When k is the field of rational numbers, K is the field of complex numbers.
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