关于Delta分布的乘积与结式
On Products of Delta Distributions and Resultants
摘要:
证明了积分几何中的一个恒等式,证明了若$P_x$和$Q_x$是两个多项式,则$\int {\rm d}x\, δ(P_x) \otimes δ(Q_x)$与$δ(R)$成正比,其中$R$是$P_x$和$Q_x$的结式.
英文摘要:
We prove an identity in integral geometry, showing that if $P_x$ and $Q_x$ are two polynomials, $\int {\rm d}x\, δ(P_x) \otimes δ(Q_x)$ is proportional to $δ(R)$ where $R$ is the resultant of $P_x$ and $Q_x$.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。