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The Mathieu equation is a linear second-order differential equation with periodic coefficients. The French mathematician, E. Léonard Mathieu, first introduced this family of differential equations, nowadays termed Mathieu equations, in his “Memoir on vibrations of an elliptic membrane” in 1868. "Mathieu functions are applicable to a wide variety of physical phenomena, e.g., diffraction, amplitude distortion, inverted pendulum, stability of a floating body, radio frequency quadrupole, and vibration in a medium with modulated density"

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  • The Mathieu equation is a linear second-order differential equation with periodic coefficients. The French mathematician, E. Léonard Mathieu, first introduced this family of differential equations, nowadays termed Mathieu equations, in his “Memoir on vibrations of an elliptic membrane” in 1868. "Mathieu functions are applicable to a wide variety of physical phenomena, e.g., diffraction, amplitude distortion, inverted pendulum, stability of a floating body, radio frequency quadrupole, and vibration in a medium with modulated density" (en)
  • 馬蒂厄方程式是一種有週期係數的線性二階微分方程。 這位法國數學家埃米爾·倫納德馬蒂厄於1868年在他的"橢圓模振動紀錄"中第一次提到這種微分方程式,也就是現在所說的馬蒂厄方程式。"馬蒂厄方程式可以適應很廣大變動的物理現象,像是繞射、振幅失真、倒立擺、漂浮物體的穩定性、射頻四極和振動" (zh)
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  • The Mathieu equation is a linear second-order differential equation with periodic coefficients. The French mathematician, E. Léonard Mathieu, first introduced this family of differential equations, nowadays termed Mathieu equations, in his “Memoir on vibrations of an elliptic membrane” in 1868. "Mathieu functions are applicable to a wide variety of physical phenomena, e.g., diffraction, amplitude distortion, inverted pendulum, stability of a floating body, radio frequency quadrupole, and vibration in a medium with modulated density" (en)
  • 馬蒂厄方程式是一種有週期係數的線性二階微分方程。 這位法國數學家埃米爾·倫納德馬蒂厄於1868年在他的"橢圓模振動紀錄"中第一次提到這種微分方程式,也就是現在所說的馬蒂厄方程式。"馬蒂厄方程式可以適應很廣大變動的物理現象,像是繞射、振幅失真、倒立擺、漂浮物體的穩定性、射頻四極和振動" (zh)
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  • Mathieu wavelet (en)
  • 馬蒂厄方程 (zh)
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