amsmath equal row spacing

Question

I would like to display these equations in an alignment:

\begin{align}
%\setlength{\jot}{20pt}
V_\text{SET} &= min \Bigg( \frac{dV}{dI} \Bigg) &\text{for } V<0 \\[1em]
I_\text{SET} &= I(argmin \Bigg( \frac{dV}{dI} \Bigg) -3 ) &\text{for } V<0\\[1em]
V_\text{RESET} &= V(arg(grad(smooth(I)) \leqslant 0)(0)) &\text{for } V>0\\[1em]
I_\text{RESET} &= I(arg(grad(smooth(I)) \leqslant 0)(0)) &\text{for } V>0\\[1em]
V_\text{SET,stop} &= min(V) \\[1em]
V_\text{RESET,stop} &= max(V) \\[1em]
I_\text{cc} &= min(I) \\[1em]
Lin &= I(V=\pm 0.4)/I(V=\pm 0.2)
\end{align}

I already tried setting the length of jot and using [1em]. However due to the fractions the spacing between the lines is not equal and I can not get it to be equal. This is what it looks like now:

Also due to [1em] the equations are now longer than the page and are over the page number, as you can see on the right bottom (13). I am relatively new to Latex so I hope this not very obvious. Any help is appreciated. Thanks so much in advance :)

Answer 1

In the case of your equations, it suffices to change \Bigg to \Big and to \smash the expressions involving tall parentheses in order to get a more compact display in the vertical dimension. With this change, one can dispense with the [1em] spacing directives. To get more compactness in the horizontal dimension as well, it's a good idea to employ an alignat environment rather than an align environment.

A separate comment: the terms "max", "min", "arg" etc are math operators; to typeset them using an upright font face, input them as \max, \min, \arg, etc.

\documentclass{article}
\usepackage{amsmath,amssymb,array}
\DeclareMathOperator{\argmin}{arg\,min}
\DeclareMathOperator{\grad}{grad}
\DeclareMathOperator{\smooth}{smooth}
\begin{document}
\begin{alignat}{2}
V_{\textrm{SET}}   &= \min \smash[b]{\Bigl( \frac{dV}{dI} \Bigr)} 
   &\quad&\text{for $V<0$} \[1em]
I_{\textrm{SET}}   &= I\smash{\Bigl(\argmin \Bigl( \frac{dV}{dI} \Bigr) -3 \Bigr)} 
   &&\text{for $V<0$}\[1em]
V_{\textrm{RESET}} &= V\bigl(\arg(\grad(\smooth(I)) \leqslant 0)(0)\bigr) 
   &&\text{for $V>0$}\[1em]
I_{\textrm{RESET}} &= I\bigl(\arg(\grad(\smooth(I)) \leqslant 0)(0)\bigr) 
   &&\text{for $V>0$}\[1em]
V_{\textrm{SET,stop}}   &= \min(V) \[1em]
V_{\textrm{RESET,stop}} &= \max(V) \[1em]
I_{\textrm{cc}}    &= \min(I) \[1em]
L_{\textrm{in}}    &= I(V=\pm 0.4)\big/I(V=\pm 0.2)
\end{alignat}
\end{document}