I have a few aligned lists of coefficients. One set of coefficients has three columns and the other has four. At the moment I display them with two align
environments:
\begin{align}
\gamma_1 &= 8/15 & \gamma_2 &= 5/12 & \gamma_3 &= 3/4 \\
\zeta_1 &= 0 & \zeta_2 &= -17/60 & \zeta_3 &= -5/12 \\
\beta_1 &= 4/15 & \beta_2 &= 1/15 & \beta_3 &= 1/6
\end{align}
\begin{align}
a_0 &= 0 & a_1 &= 8/15 & a_2 &= 2/3 & a_3 &= 1
\end{align}
The alignment and spacing between elements in each row is exactly as I want but there is too much space between the three column coefficients and the four column coefficients. Essentially, I want the alignment to reset at a certain point so that the next line of the align
environment has four columns and is centered.
I learned about the aligned
environment as I searched for an answer. The question asked there is essentially what I am asking, but the code provided there does not do what I want. I have not successfully been able to produce code to do exactly what I want.
This is the closest I can get:
\begin{align}
\begin{aligned}
\gamma_1 &= 8/15 & \gamma_2 &= 5/12 & \gamma_3 &= 3/4 \\
\zeta_1 &= 0 & \zeta_2 &= -17/60 & \zeta_3 &= -5/12 \\
\beta_1 &= 4/15 & \beta_2 &= 1/15 & \beta_3 &= 1/6 \\
\end{aligned} \\
\begin{aligned}
a_0 &= 0 & a_1 &= 8/15 & a_2 &= 2/3 & a_3 &= 1
\end{aligned}
\end{align}
This has two problems:
- The coefficients are compressed rather than expanded as they are with two
align
s. - Each
aligned
environment has one equation number. I'd prefer to refer to each set of coefficients (gamma, zeta, beta, and a) directly.
Likely I could manipulate the spacing at the bottom and/or top of the align environment and use my original code, but that's sloppy and I'm confident a simple way to do what I want exists but I'm not aware of it.
Also, the a0 and a3 coefficients are required to be 0 and 1 respectively by definition, so I can leave one out, but I want to include both of them for clarity.