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The partial differential equation 2u_(tx)+u_xu_(xx)-u_(yy)=0.
The partial differential equation (Cole and Cook 1986, p. 34; Zwillinger 1997, p. 134).
The system of partial differential equations U_t = [V,W] (1) V_t = [W,U] (2) W_t = [U,V], (3) where [A,B] denotes the commutator.
Partial differential equation boundary conditions which give the normal derivative on a surface.
Given a sequence {a_k}_(k=1)^n, a partial sum of the first N terms is given by S_N=sum_(k=1)^Na_k.
The partial differential equation u_(xx)=au_(tt)+bu_t+cu.
The partial differential equation u_(xy)+alphau_x+betau_y+gammau_xu_y=0.
A topological partial algebra is a pair (A,tau), where A=(A,(f_i^A)_(i in I)) is a partial algebra and each of the operations f_i^A is continuous in the product topology. ...
The partial differential equation iu_t+[(1+|u|^2u)^(-1/2)u]_(xx)=0.
The partial differential equation partial/(partialx)(u_t+uu_x+1/2u_(xxx)+u/(2t))+(3alpha^2)/(2t^2)u_(yy)=0 which arises in the study of water waves.
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