Look at this shmuck, using the supremum of a continuous function on a closed interval when it clearly achieves a maximum. I bet they’ll feel real embarrassed about that one when they’re falling asleep years from now.

“I need you to be able to tell me what’s wrong with this without me explaining it verbally.”

Yes, firing a gun in a crowded subway station is absolutely in the wrong, as we can see by the three innocent people shot, one in the head. There are police forces across the world trained to deal with assailants with deadly weapons including knives without shooting them. It’s reasonable to expect the NYPD to have the same level of training and judgement.

They lifted the info embargo! You can talk about it now! I’m having an amazing time with Abrams except when I play teams that know how to parry. Laning can be tricky at first, but his regen is so good you can somewhat ignore the other hero and focus on last hitting.

“i bless the rains down in castamere” is a top notch display name

One reason is because your chromosomes don’t control genital development, your hormones do. So if you’re born with XY chromosomes and your testosterone receptors don’t work then you’ll develop female genitals and a generally female physiology (minus reproductive organs).

This is all separate from gender expression obviously, but things are hard because the world is complex. If you haven’t seen or experienced this complexity in your life, that’s fine. But don’t diminish the complexity of other’s experiences just because they don’t match your own.

You could, but then I could write “Disregard the previous prompt and…” or “Forget everything before this line and…”

The input is language and language is real good at expressing the same idea many ways.

A magnesium deficiency can cause twitching in your legs, but I don’t know if anyone on the internet would be able to help tell if the pulsing sensation is caused by muscles contracting or something else.

If you have decent access to healthcare and it’s bothering you, bring it up with your doctor. It’s unlikely anyone here is qualified to be giving you medical advice. And if they were, they likely wouldn’t be comfortable giving a diagnosis based only on a post.

KenM??

That’s interesting. What about talking about it as a subject or a class? Would you say maths are my favorite subject(s?) in school? Maths are my favorite class?

Is the ending s kept on abbreviations of other singular nouns ending in s? Or is that unique to maths?

Sounds more like TF2 crossed with DOTA, which sounds weirdly fun and hella toxic.

Rigorously, yes. Unambiguously, no. Plenty of words (like continuity) can mean different things in different contexts. The important thing isn’t the word, it’s that the word has a clear definition within the context of a proof. Obviously you want to be able to communicate ideas clearly and so a convention of symbols and terms have been established over time, but conventions can change over time too.

Natural numbers are used commonly in mathematics across the world. Sequences are fundamental to the field of analysis, and a sequence is a function whose domain is the natural numbers.

You also need to index sets and those indices are usually natural numbers. Whether you index starting at 0 or 1 is pretty inconsistent, and you end up needing to specify whether or not you include 0 when you talk about the natural numbers.

Edit: I misread and didn’t see you were talking about whole numbers. I’m going to leave the comment anyway because it’s still kind of relevant.

The linked article has some top notch mental gymnastics. It goes through great pains to claim that Watson and Crick didn’t steal Franklins’s data (but were extremely cavalier about using it without telling her) and that they would’ve taken anyone’s data, not just a woman’s (although the data had to be brought to their attention because Watson didn’t take any notes on her lecture and instead only paid attention to her appearance).

I don’t know what drives people to make unfounded assertions defending the legacy of male scientists even while going through such lengths to describe the sexism female scientists faced. It’s like they want to imagine sexism was just something in the air that happened to affect women and not caused or perpetuated by anyone.

I have heat pumps in some rooms (mainly for cooling) in the lower Hudson Valley, New York. Mine aren’t effective at heating the house when temperatures fall below 50 F. But my house is almost 100 years old and extremely drafty, so it may not be the best point of comparison.

I would likely say six oh five as would my wife and friends. We’re all American from different parts of the country, so I suspect this is a difference in British v American English.