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3x−1+(1+x)2\sqrt{3x-1}+(1+x)^23x−1+(1+x)2
f(x)=∫−∞∞f^(ξ)e2πiξxdξf(x) = \int _{-\infty}^\infty \hat f(\xi)\, e^{2 \pi i \xi x} \, d\xi f(x)=∫−∞∞f^(ξ)e2πiξxdξ
∇×B⃗−1c∂E⃗∂t=4πcj⃗∇⋅E⃗=4πρ∇×E⃗+1c∂B⃗∂t=0⃗∇⋅B⃗=0\begin{array}{c} \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ \nabla \cdot \vec{\mathbf{B}} & = 0 \end{array} ∇×B−c1∂t∂E∇×E+c1∂t∂B∇⋅B=c4πj∇⋅E=0=0=4πρ
∂tW+mx[∂x(Uw)+∂y(Vw)]+∂η(Ωw)−my−1g[(α/αd)∂ηp−μd]=FW(2.20)\partial_t W + m_x[\partial_x(Uw) + \partial_y(Vw)] + \partial_\eta(\Omega w) - m^{-1}_y g [(\alpha / \alpha_d)\partial_\eta p - \mu_d] = F_W \tag{2.20} ∂tW+mx[∂x(Uw)+∂y(Vw)]+∂η(Ωw)−my−1g[(α/αd)∂ηp−μd]=FW(2.20)
∂tΘm+mxmy[∂x(UΘm)+∂y(VΘm)]+my∂η(ΩΘm)=FΘm(2.21)\partial_t \Theta_m + m_x m_y[\partial_x(U\Theta_m) + \partial_y(V\Theta_m)] + m_y\partial_\eta(\Omega\Theta_m) = F_{\Theta_m} \tag{2.21} ∂tΘm+mxmy[∂x(UΘm)+∂y(VΘm)]+my∂η(ΩΘm)=FΘm(2.21)
∂tμd+mxmy[Ux+Vy]+my∂η(Ω)=0(2.22)\partial_t\mu_d + m_x m_y[Ux + Vy] + m_y\partial_\eta(\Omega) = 0 \tag{2.22} ∂tμd+mxmy[Ux+Vy]+my∂η(Ω)=0(2.22)
∂tϕ+μd−1[mxmy(U∂xϕ+V∂yϕ)+myΩ∂ηϕ−mygW]=0(2.23)\partial_t\phi + \mu^{-1}_d [m_x m_y(U\partial_x\phi + V \partial_y\phi) + m_y\Omega\partial_\eta\phi-m_ygW] = 0 \tag{2.23} ∂tϕ+μd−1[mxmy(U∂xϕ+V∂yϕ)+myΩ∂ηϕ−mygW]=0(2.23)
∂tQm+mxmy[∂x(Uqm)+∂y(Vqm)]+my∂η(Ωqm)=FQm(2.24)\partial_t Q_m + m_x m_y[\partial_x(Uq_m) + \partial_y(Vq_m)] + m_y\partial_\eta(\Omega q_m) = F_{Q_m} \tag{2.24} ∂tQm+mxmy[∂x(Uqm)+∂y(Vqm)]+my∂η(Ωqm)=FQm(2.24)