四阶差分(fourth-order difference)是在航空物探测量中检查仪器观测成果质量的一种统计计算方法。它通过计算测线上每个测点及其前后各两个点的四阶差分值(Bi),与全线各点四阶差分平均值的均方差,作为检验观测质量的依据。它代表观测仪器的噪声水平。
该奖项在1815年颁发给个索菲。热尔曼,一位著名的女数学家,她推导出了正确的四阶差分方程。
The prize was awarded in 1815 to Sophie Germain, a celebrated woman mathematician, who derived the correct fourth-order differential equation.
利用空间上具有四阶精度、时间上具有二阶精度的中心差分方法,数值模拟了几种复杂井眼条件下的波场。
Various borehole and formation conditions were simulated using the fourth order accuracy in space and second order accuracy in time centered finite difference method.
研究了一个四阶有理差分方程,证明了该方程的正平衡点是全局渐近稳定的。
The paper is regarding a fourth-order rational difference equation, proving that the positive equilibrium point of the equation is globally asymptotically stable.
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