Prove/Disprove: $(a)$ If $\int_{-\infty}^\infty f(x)dx=0,$ then there exists $x_0$ such that $\int_{x_0-x}^{x_0+x}f(t)dt=0$ for large enough $x$. $(b)$ If $\int_{-\infty}^\infty f(x)dx=0,$ then there exists $x_0$ such that $\int_{x_0}^{\infty}f(t)dt=-\int_{-\infty}^{x_0}f(t)dt .$ ...

The tag elementary-probability has been created recently. The tag-info is currently empty. Do we want/need this tag? I'd say that past discussions on meta indicate that tags are not based on level/difficulty of the question, but on the content. For example: Should we require a tag that which spe...

There exist divisors tag, which was created for the question about divisors in algebraic geometry. At least this seems to be the case based on the tag-wiki and tag-excerpt. Current revision looks like this: For questions involving divisors, invertible sheaves and/or line bundles on varieties ...

At the moment there is the oddly named synthetic-differential tag, which is being used for questions about synthetic differential geometry. I propose that this tag be renamed to synthetic-diff-geometry, perhaps with synonyms synth-differential-geom, sdg, and maybe synthetic-differential. (Apparen...

I also went trough the list of extremely short tags (using this query). svd can be expanded into singular-value-decomposition lft can be expanded into linear-fractional-transformation sos can be expanded into sum-of-squares-method rbf can be expanded into radial-basis-functions pde can be expa...

The divisors is for divisors in algebraic geometry. There have been discussions about this in the Tag management threads earlier: Tag management 2015 and Tag management 2016 Among the options is expanding the tag name to divisors-algebraic-geometry.

It has been suggested that synthetic-differential is expanded to synthetic-differential-geometry: Tag rename request: (synthetic-differential) to (synth-differential-geometry)

The probability-limit-theorem can be expanded to probability-limit-theorems. See this answer: Tag cleanup 2014