A mathematical statement involving operator inequalities and tensor products.
Statement in LaTeX:
Let $X,Y$ be operators on a finite-dimensional Hilbert space. If $0\leq X \leq Y$, then $X^{\otimes n} \leq Y^{\otimes n}$ for all $n\in\mathbb{N}$.
A little task to get your brain going today: Prove the statement in the picture!
1 week ago
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Absolutely fantastic hire!
3 weeks ago
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OTD 1933 Adolf Hitler was officially sworn in as chancellor of Germany. He immediately pardoned 8,000 violent Nazis, many of whom were involved in the failed 1923 coup.
1 month ago
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Angela Sara Cacciapuoti and Rajkumar Kettimuthu
April 9, join Angela Sara Cacciapuoti (Co-Founder of the Quantum Internet Research Group) for the #ACMTechTalk "Toward a Quantum-Native Internet: From Architecture to Protocol Organization." Rajkumar Kettimuthu (Senior Scientist @ Argonne) will moderate.
Register (free) to attend: bit.ly/4rIyhnn
1 month ago
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I know I've said this a trillion times but I have to say it periodically to keep from going insane:
The right ran a huge, well-funded, & ultimately successful campaign to completely take over political media & the infosphere more generally. This is by far the most important political development...
1 month ago
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writing your own code will soon be considered charmingly eccentric, like churning your own butter.
1 month ago
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so they're just making shit up
1 month ago
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A line graph showing NSF grant awards made through 2/27/26 for fiscal year 2026 compared with grant awards for fiscal years 2021-2025.
NSF Update (Awards through 2/27/26)
Directorates to follow
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1 month ago
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In my utopian vision of the future, instead of offloading all the pointless, annoying work tasks (like reports that none one will read and needlessly opaque forms) to robots, we restructure work and society so that the pointless tasks don't happen at all.
1 month ago
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I’m “there’s too many teenagers over there to stop for lunch” old
1 month ago
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what the fuck
this really seems like another case of them going after someone prominent to send a “nobody is safe” message and what’s actually going to happen is continuing to polarize everyone but the worst of the worst against them
because how the fuck is this kid a threat to anything
1 month ago
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stop calling us nazis just because we are invalidating IDs and rounding people up based on their skin color and putting them in concentration camps and sending them off to foreign gulags and using all that nazi imagery and banning books and dont forget about all the pedophilia. so just stop alright
1 month ago
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all time photo editor performance
1 month ago
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Why do I have to pretend that I'm going to print something in order to save it as a PDF. Why do I have to engage in a little ruse.
1 month ago
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This is the kind of thing a rich CEO says at the beginning of a science fiction movie to establish for the audience that he is a sociopath and the villain.
2 months ago
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Watching this Canada US gold medal hockey game reminds me a lot of watching Canada play the USSR in the 80’s
1 month ago
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we haven’t even arrested a single billionaire and they arrested a whole prince. look at my country bro
2 months ago
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A system built to eat people never stops eating people.
2 months ago
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Something about LLM hype culture renders a man immune to the experience of embarrassment. If I couldn’t tell the difference between PhD-level scholarship and grammatical gibberish I simply would not announce that to a global audience.
2 months ago
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Is there anything better than to have to be somewhere for a meeting and then the meeting is cancelled and it turns out you don't have to go? I think not.
2 months ago
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Every now and then I see a post and think ‘oh no, you don’t do your thinking with those concepts do you? Those are posting concepts, not thinking concepts’ and I think this tracks a meaningful distinction.
2 months ago
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There is a case to be made that any board of a university that signed an agreement that required paying a fee has breached their fiduciary duty and I think somebody should explore it
2 months ago
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FYI @jila.colorado.edu
2 months ago
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A book on a rack whose title is How to Date Buildings: An Easy Reference Guide.
whatever you do don’t ask their age
2 months ago
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