燕尾积分维基百科,自由的 encyclopedia 燕尾积分(Swallowtail Integral)是一种三阶多鞍点积分,其定义如下[1]:p388 Swallowtail Integral Maple 3D plot Swallowtail Integral Maple contour plot SwaIntegral Maple density plotllowtail P ( x 1 , x 2 , x 3 ) = ∫ t = − ∞ ∞ e x p ( I ∗ ( t 5 + x [ 1 ] ∗ t + x [ 2 ] ∗ t 2 + x [ 3 ] ∗ t 3 ) ) d t . {\displaystyle P(x_{1},x_{2},x_{3})=\int _{t=-\infty }^{\infty }exp(I*(t^{5}+x[1]*t+x[2]*t^{2}+x[3]*t^{3}))\,dt.}
燕尾积分(Swallowtail Integral)是一种三阶多鞍点积分,其定义如下[1]:p388 Swallowtail Integral Maple 3D plot Swallowtail Integral Maple contour plot SwaIntegral Maple density plotllowtail P ( x 1 , x 2 , x 3 ) = ∫ t = − ∞ ∞ e x p ( I ∗ ( t 5 + x [ 1 ] ∗ t + x [ 2 ] ∗ t 2 + x [ 3 ] ∗ t 3 ) ) d t . {\displaystyle P(x_{1},x_{2},x_{3})=\int _{t=-\infty }^{\infty }exp(I*(t^{5}+x[1]*t+x[2]*t^{2}+x[3]*t^{3}))\,dt.}