I really don’t get the prevalence of the attitude “If we don’t see it with light, it does not exist”. Is it that improbable that there is some matter which does not interact with light? imo, similar argument could be made to deny existence of atoms - we cannot see it directly.

Indeed.

I am not a topologist, but I can try…

A space (shape) is contractible if you can “contract” (shrink) it to a point without cutting, pinching or punching through holes. For example, a mattress is contractible, since you can shrink it to the center - each point can follow the line to the center, continuously. Meanwhile, a doughnut, a circle or a hollow sphere are not contractible, you can never remove the inner “hole” to shrink to a point without cutting.

In general, any dimensional sphere is not contractible… Until it is - infinite dimensional sphere is contractible. Somehow, it loses the “hollow space” inside.

Is this opinion piece implying that quantum computing researchers should stop researching because current quantum computers are currently less than proof of concept? Is technology supposed to be fully mature from the beginning?

It lists no alternative to actual(-budget) :( I don’t have time to create my own alternative, maybe I should go back to spreadsheets?

It still has two holes compared to a sphere, and that is our usual frame of reference.

This made me realize that I am a nerd. Sad.

Sometimes I feel sad I am incapable of chicanery like this, it sounds like the only path to an affluent life.

Tropical geometers: a^3

Yeah, the 2nd monitor briefly turns itself off and on in the same moment the 1st monitor tears. I will try to follow the steps.

It only happens in one monitor, another monitor is completely fine - although another monitor flicker when the monitor tears. I will check the monitor with other hardware (e.g. laptops). The connection type is HDMI, sadly the monitor does not seem to have DisplayPort connection.

First of all, thanks a lot! I should try different ones. To try the different ports, I need to open up the case, right? That sounds like work, but maybe that’s unavoidable. Guess I should check if the tearing occurs with laptops first.

Strangely, the tearing seems to happen more frequently in Linux. I am not sure how… Also, turning the monitor off and on briefly fixes the tearing. Does it say anything about it? Plus, it only happens in one monitor, another monitor is completely fine - although another monitor flicker when the monitor tears.

It exerts too much Control to the users.

I’ll see myself out

Ah, that would be a loophole.

Dunno why people think this is the worst solution. Don’t many of those people love to pee in streets, rather than bother to find toilets? This sounds like an excellent deterrent, and that it works shows that people needed comparative incentive to use the toilet.

Yeah, not everything is about the homeless. Are there actually many homeless in Munich, compared to rude tourists?

Now, Mint should support the need decently enough, although it takes some setup. You can look up for language setup settings, I found that fctix works well nowadays.

Ah, joy of commutative algebra.

Wait until you get to noncommutative algebra… shudders. No one who mastered that monster of a subject is sane in any measure.

I mean, it would help you understand what a ring is, if you know monoids. It clearly helps. Right? …right?

I mean, that one is a tame example compared to e.g. https://ncatlab.org/nlab/show/homological+algebra

My main laptop is on linux, through and through. I just don’t have the courage to talk about transition to Linux with my family…