prev ( testsuite > TortureTests > Complexity > complex2  ) next

Alternatives: (mml file)  (full) (simple) (plain) (form) (slideshow)
File:TortureTests/Complexity/complex2
CVS-ID:
Author:Design Science, Inc. (D. Doyle, E. Cannon, E. Tabacman, R.Miner)
Description:short complexity test

Sample Rendering:

$\begin{array}{cc}\text{Quadratic Equation}& x=\frac{-b±\sqrt{{b}_{}^{2}-4ac}}{2a}\\ \text{DisplayQuadratic Equation}& x=\frac{-b±\sqrt{{b}_{}^{2}-4ac}}{2a}\\ \text{Rational Function}& f\left(x\right)=\frac{1-{x}_{}^{2}}{1-{x}_{}^{3}}\\ \text{Rational Function}& f\left(x\right)=\frac{\left(1-{x}_{}^{2}\right){x}_{}^{3}}{1-{x}_{}^{3}}\\ \text{Rational Function}& f\left(x\right)=\frac{\left(1-{x}_{}^{2}\right)\left({x}_{}^{3}-5x\right)}{1-{x}_{}^{3}}\\ \text{Parametrize Rational Function}& f\left(x\right)=\frac{\left({a}_{i}^{}-{x}_{}^{2}{\right)}_{}^{5}}{1-{x}_{}^{3}}\\ \text{Stacked exponents}& g\left(z\right)={e}_{}^{-{x}_{}^{2}}\\ \text{Stacked exponents}& g\left(z\right)={e}_{}^{-\left(z-a{\right)}_{}^{2}}\\ \text{Stacked exponents}& g\left(z\right)={e}_{}^{-\sum _{i=0}^{\infty }{z}_{i}^{2}}\\ \text{Stacked exponents}& g\left(y\right)={e}_{}^{-\sum _{i=0}^{\infty }{y}_{i}^{2}}\\ \text{Stacked exponents}& g\left(z\right)={e}_{}^{-\sum _{i=0}^{\infty }{z}_{}^{\frac{2}{a-i}}}\\ \text{Cross Product}& \frac{{x}_{1}^{}-{x}_{2}^{}}{{x}_{3}^{}-{x}_{4}^{}}\frac{{x}_{1}^{}-{x}_{4}^{}}{{x}_{2}^{}-{x}_{3}^{}}\\ \text{Cross Product}& \left(\frac{{x}_{1}^{}-{x}_{2}^{}}{{x}_{3}^{}-{x}_{4}^{}}\right)\left(\frac{{x}_{1}^{}-{x}_{4}^{}}{{x}_{2}^{}-{x}_{3}^{}}\right)\\ \text{Cross Product}& \left(\frac{{x}_{1}^{}-{x}_{2}^{}}{{x}_{3}^{}-{x}_{4}^{}}\right)\left(\frac{{x}_{1}^{}-{x}_{4}^{}}{{x}_{2}^{}-{x}_{3}^{}}\right)\\ \text{Cross Product}& \frac{\left({x}_{1}^{}-{x}_{2}^{}\right)\left({x}_{3}^{}-{x}_{4}^{}\right)}{\left({x}_{1}^{}-{x}_{4}^{}\right)\left({x}_{2}^{}-{x}_{3}^{}\right)}\end{array}$