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Sibin

2 years ago

Sibin
2 years ago

I've been using #AnnotatedEquations in my recent papers. I think it really adds to the readability and understanding of the math.

Here are some examples. It uses #tikz in #latex.

Let me know if you like it. Happy for any feedback.

An annotated equation in Latex.

The equation: Pro[X(.) \in S] <= e^epsilon . Pr[X(.) \in S]

The first X(.) is in a red box and a red arrow points to it with the annotation, "system state" on top of the arrow.

The first S is in a blue box and a blue arrow points to it (from below) with the annotation, "S \subset Range (X)" on the arrow.

Another annotated equation:

Pr[R(Tau_i, j) \in S] <= e^epsilon . Pr[R(Tau'_j, j') \in S]

Both Tau's are in red boxes and have a (bidirectional) red arrow pointing to each other and the annotation "Tau_i, Tau'_i \in Gamma, the set of Tasks" on top of the arrow.

Both j's are in blue boxes and have a blue bidirectional arrow pointing to each other (below the equation) with the annotation "j, j' \in N" under the arrow.

An annotated equation surrounded by text. The equation:
Lap(x | mu, b) = (1/2b)exp(-|x-mu|/b)

The first "mu" is in a red box and a red arrow points to it from the top with the annotation, "location parameter, mean" on top of the arrow.

the first "b" is in a blue box with a blue arrow pointing to it from below with the annotation, "b>0, scale parameter" on the arrow.

We see an equation number (3) to the right of the equation.

Two annotated equations side by side.

Left equation: N_i = Q_p(t_{j+1} - t_j | for all j)

Q_p and for all j are in red boxes. t_{j+1} is in a blue box and t_j is in a brown box.

There is a long, red curly brace (sideways, pointing down) on top of the entire RHS of the equation with the annotation, "some annotation about the entire equation here". A blue arrow points to "t_{j+1}" from below with the annotation, "property of (j+1)^th item. A brown arrow points to "t_j" from the bottom right with the annotation, "j^th item" on the arrow.

The equation on the right:
X_i = 1/(Sigma{i=1}N Sigma{j=1}M_i(l^j_i/l^max))

N is in a purple box and we see a purple arrow pointing to it with the annotation, "number of objects" on top of the arrow. M_i is in a blue box with a blue arrow pointing to it with the annotation, "number of other objects" on the arrow. l^j_i is in a brown box with a brown arrow pointing to it and the annotation, "size of j^th service" on the arrow while l^max is in a green box and a green arrow pointing to it (from below) with the annotation, "maximum obj size" on the arrow.

#AnnotatedEquations #tikz #latex

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