I have function: f[x_, y_, z_] = {3 x – 2 y + 2, x^2 – 1, z^2}, and I used VectorPlot3D[{f[x, y, z]}, {x, -1, 1}, {y, -1, 1}, {z, -1, 1}]. And the next step is to use scope: $ x^2 + y^2 + z^2 = 1$ . How can I do that?Read more
I have function: f[x_, y_, z_] = {3 x – 2 y + 2, x^2 – 1, z^2}, and I used VectorPlot3D[{f[x, y, z]}, {x, -1, 1}, {y, -1, 1}, {z, -1, 1}]. And the next step is to use scope: $ x^2 + y^2 + z^2 = 1$ . How can I do that?Read more
Is there a trick to make Mathematica solve $ $ {\frac {\partial^{2} u}{\partial {x}^{2}}} +{\frac {\partial ^{2} u}{\partial {y}^{2}}} =0$ $ with one boundary condition at $ \infty$ ? Boundary conditions are $ $ \begin{align*} u \left( 0,y \right) &=\cos \left( y \right) \ u \left( x,0 \right) &=0 \ u \left( x,a \right) &=0\Read more
Is it possible to index the solutions to Pythagoras equation if we let $ x,y,z$ be linear forms? In other worse I’m asking for solutions to: $ $ \big(a_1 s + a_2 t\big)^2 + \big(b_1 s + b_2t \big)^2 = \big(c_1 s + c_1 t \big)^2 $ $ Is it just these same as theRead more