A fast and natural input method for touch devices.
Create quilts of your favorite artists.
A next-word prediction engine for Python and C++.
Generate natural 8pen doodles.
Chrome extension adding keyboard shortcuts to close tabs.
Whenever we have an idea or want to take a note, we reach out for pen and paper. It is often the fastest and easiest way take a note. We enjoy handwriting, because it is natural. So one may ask: is there a natural way to write on small devices?
My Part III essay at Cambridge, where I present a theorem of Tate which relates p-adic representations with a "Hodge-Tate decomposition" to "locally algebraic" ones.
A short note on the connection between Scholl's strictly deeply ramified towers and Fontaine-Wintenberger's arithmetically profinite extensions, in the general case of local fields with imperfect residue fields, using the ramification filtration of Abbès and Saito.
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