The antithetic variates method reduces the variance of the simulation results. This property can be used for generating antithetic variates, among other things. From the positivistic point of view, equality is antithetic to arbitrariness. He held that Judaism and Christianity are "two faith communities (which are) intrinsically antithetic". Antithetic and axiomatic sentences abound in his pages. The commonly accepted theory for the evolution of plant morphology is the antithetic theory. Antithetic or dualistic conceptions characterize large parts of the oratorio. The "new evangels" of totalitarianism are presented as antithetic to the spirit of Christianity. Antithetic faults may also develop, giving rise to surface grabens.