The problem is that rational numbers can be mapped (1 to 1) to the integers (e.g. just encode each rational number as an integer), so there are not more rational numbers than integers.

I feel silly now for not realizing that was a stage name.

I straight up thought her actual name was “Whoopi”.

Yes and no… with a real (not digital) piano it actually does matter how you hit the keys. If you don’t press quickly enough the hammer won’t have enough momentum to actually strike the strings.

I believe this effect is more pronounced with a grand piano, but the same thing can happen with an upright piano too.

EDIT: It’s not as finicky as with other instruments, though, so your core point is still a good one… just with caveats.

Technically, “bail” is a word… it’s not the right word but it is a word.

“Great” meaning “very large”, not “very good”.

Gatsby turned himself into a larger than life character.

That is what I think the title is trying to get at.

Yes and No.

Yes, everything increases in difficulty but the increases in difficulty are asymmetrical.

The difficulty of reversing a computation (e.g. reversing a hash or decrypting an encrypted message) grows much faster than just performing the computation (e.g. hashing a message or encrypting one).

That’s the basis for encryption to begin with.

It’s also why increasing the size of the problem (e.g. the size of the hash or the size of a private key) makes it harder to crack.

The threat posed by quantum computing is that it might be feasible to reverse much larger computations than it previously was. The caveat on that, however is that they have a hard limit of what problems they can solve based on the number of qbits they have.

So for example, let’s say you use RSA for encryption and someone builds a 1024 qbit quantum computer. All you have to do is increase your key size so that it would require 1025 qbits to crack, and then that quantum computer wouldn’t provide an attacker any benefit at all.

(Of course, they’d still be able to read your old messages, but that’s also a fundamental principle of cryptography; it only protects you for a period of time)

The problem is that you’re eating too many bears. You need more variety in your diet.

Your compost bin should be mostly green vegetables, followed by smaller amounts of fruits and grains. Keep the bears as just an occasional treat.

Also note that subsequent cooking doesn’t prevent food poisoning.

That will kill off the microorganisms that are the root cause, but it won’t remove the poison that they already produced.

It wasn’t being marketed and sold as a meme product. It was being marketed and sold as critical safety equipment.

On top of that, it was being sold during a pandemic when such equipment was being used continuously by large segments of the population.

It shouldn’t be surprising that large numbers of people bought it; the company selling it lied to those people to trick them into buying it.

The perfect material for Tesla’s new cyberboat

I was in college in Texas when it happened. I don’t remember anything closing.

All of my classes kept to their regular schedules.

Adding on to this; I’d be very surprised if there was a locality within the U.S. that didn’t require every building to have carbon monoxide detectors, but again, voting doesn’t even have to occur within a building.

In short, no.

Voting in the U.S. is run by the individual states, and each one sets their own rules and policies.

The federal government does set some minimum rules that only apply to federal elections, but those rules don’t even require the use of voting booths: https://www.govinfo.gov/content/pkg/CFR-2024-title11-vol1/pdf/CFR-2024-title11-vol1.pdf

No, that’s not a fetish.

People only call that a fetish because of ingrained racism.

They think interracial dating is somehow abnormal or unnatural, which is how they land on the term “fetish”.

I.E. someone is telling on themselves when they suggest that interracial dating is a fetish.

There’s also “Dracula Daily” which starts at the same time and is a great way to micro-dose the novel.

https://draculadaily.com/

Get one of your professional contacts to honestly evaluate him.

You can’t objectively evaluate him since he’s your kid, and any advice he hears from you will be subject to scrutiny since you’re his parent.

If you’re right then your message will be more believable from a third party, and if you’re wrong then they will hopefully catch that.

Either way, you are right to try to set him up for success; that’s your job as his parent.

I assume the highlighted region is meant to call out the fact that they’re claiming a metaphorical expression isn’t being used metaphorically.

Yes, that’s incredibly stupid, and yes the entire letter is pro-hate propaganda.

However, I think it’s important to also call out something else about the phrase “wiped of the map”…

It’s an English language idiomatic expression.

Idiomatic expressions are language specific.

When you see a quote attributed to someone speaking Farsi, and it includes English idiomatic expressions, you can be fairly certain the translation is complete bullshit, and whoever created the translation is trying to manipulate you.

He actually did take the oath without putting his hand on a bible and they did try to make a big deal about it.

John Roberts messed up the oath during the inauguration and they had to redo it later.

During the do-over there was no bible: https://en.m.wikipedia.org/wiki/First_inauguration_of_Barack_Obama

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Not to mention the CCTV Spring Festival Gala (https://en.m.wikipedia.org/wiki/CMG_New_Year's_Gala).

This isn’t even remotely close to the biggest.