Whatever LaTeX does by default
this post was submitted on 15 Jul 2024
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LaTeX: typically let software decide for me, override if it looks bad.
Paper: Too shit at writing to make a consistent choice
B. A only when there is little space
Same, but there is never enough space
Same. B if I'm feeling fancy, A if I'm trying to fit everything on one line.
Are those called limits in English? How do you call those things then?
lim x->0 1/x
For integrals, we would say that "b and a are the limits of integration".
The notation "lim x->0 1/x" would be read as "the limit of 1 over x as x goes to zero." In general, "lim" is short for "limit" of whatever follows it, with respect to what is below the "lim" symbol. Rarely, I have also seen the notation "l.i.m." used for the limit in mean, i.e. the limit with respect to the L^2 norm.
I’ve always called them the bounds of integration but I’ve heard the term limits of integration too
Also limits. But also "tends towards".
Better question: Where do you put the dx?
What? Where else would you put it?
Wherever you want it baby
Immediately after the integral symbol, before the integrand, is also common: https://math.stackexchange.com/questions/1146345/notational-position-of-dx-in-integral
It has a nice "operator" look this way.
I would interpret this completely differently than what was intended
A fits on paper much better than B, especially when you try to write as small as possible to fit all of your work on one line
Depends on if the integral is integrated in the text or if it gets its own area
The kerning on Latex integrals has always bothered me. The f(x) could move a LOT further to the left!
Out of these? I'm team Blue.
But really, I'm team Green. b goes more or less in the place Red shows it (or maybe halfway between where Red and Blue show it), but a goes to the left of the integration symbol, mirroring where the b goes relative to the curve at the end of the ∫
Comrade!
Know your limit
(a, b) at the bottom. It's a 1d integral, so nothing goes after f as well for me.
Best answer, although I work with delta "functions" a lot so I actually have to be careful picking which interval with boundary {a,b} to pick (for example, if I integrated δ(t-a)+δ(t-b) over all t in (a,b), I'd get 0, but if I integrated those deltas over (a,b] I'd get 1, and integrating over [a,b] would give 2).
Also I do have to do integrals with parameters and multiple variables so I can't really leave out the differential.
A, B takes too much space
Whatever latex does for me ¯\_(ツ)_/¯
a sits on the dooblydoo on the left, b hangs from the dooblydoo on the right.
+ C: I’m so indefinite, I don’t respect limits.
Depends on if I accidentally wrote the function too large
A gang. Does that mean I am old?
ConTeXt has some nice new features: https://www.pragma-ade.com/general/manuals/mathincontext-screen.pdf#page87
Always A. Except when I’m drunk.
If a and b are simply numbers or variables (ex. 1, 2π, x), either, maybe red.
If a or b is a function (ex. (x + y), (1/N), (z - r²)), then blue.