Question
In the frieze group $F_{7}$, write $x^{-3} z x y z$ in the form $x^{n} y^{m} z^{k}$.
Step 1
Since $x$ and $z$ commute, we can rewrite this as $z x^{-3}$. Show more…
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Let $f(x, y, z)=x^{3} y^{5} z^{7}+x y^{2}+y^{3} z .$ Find $$\begin{array}{lll}{\text { (a) } f_{x y}} & {\text { (b) } f_{y z}} & {\text { (c) } f_{x z}} & {\text { (d) } f_{z z}} \\ {\text { (e) } f_{z y y}} & {\text { (f) } f_{x x y}} & {\text { (g) } f_{z y x}} & {\text { (h) } f_{x x y z}}\end{array}$$
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Let $f(x, y, z)=x^{3} y^{5} z^{7}+x y^{2}+y^{3} z .$ Find (a) $f_{x y}$ (b) $f_{y z}$ (c) $f_{x z}$ (d) $f_{z z}$ (e) $f_{z y y}$ (f) $f_{x x y}$ (g) $f_{z y x}$ (h) $f_{x x y z}$
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