Lines Matching full:pi
163 u = sin(2 pi x)
164 v = sin(2 pi y) - 2xy
165 Delta <u,v> - f = <-4 pi^2 u, -4 pi^2 v> - <-4 pi^2 sin(2 pi x), -4 pi^2 sin(2 pi y)>
167 u = sin(2 pi x)
168 v = sin(2 pi y) - 2xy
169 w = sin(2 pi z) - 2yz
170 …Delta <u,v,2> - f = <-4 pi^2 u, -4 pi^2 v, -4 pi^2 w> - <-4 pi^2 sin(2 pi x), -4 pi^2 sin(2 pi y),…
179 u = sin(2 pi x)
180 v = sin(2 pi y) - 2xy
181 \varepsilon = / 2 pi cos(2 pi x) -y \
182 \ -y 2 pi cos(2 pi y) - 2x /
183 Tr(\varepsilon) = div u = 2 pi (cos(2 pi x) + cos(2 pi y)) - 2 x
185 …= \lambda \partial_j 2 pi (cos(2 pi x) + cos(2 pi y)) + 2\mu < -4 pi^2 sin(2 pi x) - 1, -4 pi^2 si…
186 …= \lambda < -4 pi^2 sin(2 pi x) - 2, -4 pi^2 sin(2 pi y) > + \mu < -8 pi^2 sin(2 pi x) - 2, -8 pi^…
188 u = sin(2 pi x)
189 v = sin(2 pi y) - 2xy
190 w = sin(2 pi z) - 2yz
191 \varepsilon = / 2 pi cos(2 pi x) -y 0 \
192 | -y 2 pi cos(2 pi y) - 2x -z |
193 \ 0 -z 2 pi cos(2 pi z) - 2y /
194 Tr(\varepsilon) = div u = 2 pi (cos(2 pi x) + cos(2 pi y) + cos(2 pi z)) - 2 x - 2 y
196 …tial_j (2 pi (cos(2 pi x) + cos(2 pi y) + cos(2 pi z)) - 2 x - 2 y) + 2\mu < -4 pi^2 sin(2 pi x) -…
197 … -4 pi^2 sin(2 pi x) - 2, -4 pi^2 sin(2 pi y) - 2, -4 pi^2 sin(2 pi z) > + 2\mu < -4 pi^2 sin(2 pi…