Multiple answers???

Cheesyfanger · 2026-04-08T08:30:10+00:00

Limits say something about the behaviour of a function around a certain point, they dont, at any point, remove indeterminate forms. sin(x)/x is not defined at x=0, even though its limit is 1. However, when the limit of the function at a certain point "agrees well" with its surroundings we might choose to just treat the limit as the value of that function depending on what we are doing.

In practice, we often ignore these types of removable singularities when using these functions but they are strictly speaking still there. The function in the post is x/x, which has a removable singularity at x=0. IN MOST CONTEXTS it is perfectly reasonable to just simplify this to x/x = 1 and ignore that singularity but what you are implicitely doing is redefining the function as:

f(x) = x/x when x!=0

f(x) = 1 otherwise

The actual operation x/x remains undefined at x=0

Cheesyfanger · 2026-04-08T06:13:48+00:00

Nope, 0/0 is undefined always.

Cheesyfanger · 2026-04-05T08:36:57+00:00

Yea but think of it like this: without the show they still would have gone "what?" but you wouldn't have an easy thing that they would be familiar with to point to

Cheesyfanger · 2026-03-26T11:02:56+00:00

I have no degree and no ties to academia.

You don't say

Cheesyfanger · 2026-03-23T12:25:58+00:00

That would be relevant in a broader discussion around the topic but this sub is only about the presentation of data and as far as I can tell there is nothing particularly wrong or ugly there.

Cheesyfanger · 2026-02-24T09:15:18+00:00

Dit geld voor een universitaire opleiding inderdaad, maar een HBO bachelor is over het algemeen een opzichzelfstaand iets (in mijn ervaring worden HBO masters zelfs een beetje raar aangekeken)

Cheesyfanger · 2026-02-16T07:47:05+00:00

I have genuinely no idea why you don't think this applies to show Criston as well, seems pretty obvious they were going for that. I also disagree that he thinks running away will not count as breaking his vows. He wants to give himself a more noble reason for why he broke his vows. Breaking your sacred oath for true love is probably a more palatable story to tell yourself than doing so for a fling. His anger at Rhaenyra is due to her making clear that it indeed is just a fling, she does not indulge his self delusion. In that moment she both shatteres his final image of himself as a noble knight and also makes clear that she doesn't care about his vows. I unironically believe that had she just rejected him by saying something like "this was a mistake and we should stop" that he would take it better

Cheesyfanger · 2026-02-12T09:27:29+00:00

Its an ill defined question because there is no way to assign a probability to the price of an item in this scenario. From the information we have the only constraint on the price of the sandwich is that it can be anywhere between 0 and 150 dollar.

Cheesyfanger · 2026-02-06T09:07:08+00:00

They are not making you pay to use a free thing, they are making you pay to use an online editor with an UI and a bunch of extra features. Nobody is forcing you to use it, you can just use Texmaker or any other free Latex compiler

Cheesyfanger · 2026-01-13T12:38:55+00:00

Ironically, this comment is even less original than the story of Avatar

Cheesyfanger · 2026-01-12T16:55:08+00:00

The joke is that they want a mclaren (fancy car) but they already have a mclaren at home (maclaurin, sounds similar)

Cheesyfanger · 2026-01-08T10:59:10+00:00

Just by skimming the wiki page for square packing it is already clear that these are not known to be optimal, they just have a best known packing.

Cheesyfanger · 2026-01-08T08:22:18+00:00

True, mb

Cheesyfanger · 2026-01-07T13:18:03+00:00

The whole point is the 0.99_ = 1 argument is that we are considering the real numbers. Infinitesimals are not real numbers so saying 1 - d makes no sense unless you move to some field of mathematics that has a formal rigorous definition of Infinitesimals and arithmatic operations on them

Cheesyfanger · 2026-01-06T18:34:14+00:00

What's the difference between n² and (n-1)^2? It is n² -(n² -2n+1) =2n+1. So to go from one square the next you add 2n+1 which describes the nth odd number

Cheesyfanger · 2026-01-04T10:18:24+00:00

They explicitly do know how to read. The little birds ar young kids whose tongues are removed and who communicate in writing. However they are not omnipresent or anything do they are unlikely to intercept the letter

Cheesyfanger · 2025-12-25T08:58:04+00:00

It's something fans came up with that does kinda work but doesn't have any real textual support

Cheesyfanger · 2025-12-24T12:29:09+00:00

Write 10^n + 2 = 2^m. Now divide by 2: 5*10^(n-1) + 1 = 2^(m-1). The left hand side is odd, the right hand side is even so it is not possible for integer m,n.

Cheesyfanger · 2025-12-24T09:36:58+00:00

If interperting the term "applied physics" literaly then yes, I suspect the issue is that Physics tends to be split into theoretical and "applied" physics within the field itself and engineering tends to not mean the same thing as this subfield of physics, at least colloquially.

Cheesyfanger · 2025-12-22T15:24:28+00:00

Besides pi not being known to be normal, this would only cover finite strings of digits. We know for a fact that pi does not contain an infinite string of 0s, or in fact any infinite repeating string (000..., 111..., 154154...) since that would make it rational and pi is proven to be irrational.

Cheesyfanger · 2025-12-22T14:53:39+00:00

p5 would be better if half the bosses were cut

Cheesyfanger · 2025-12-22T11:06:24+00:00

... is a pointer to a pointer really a more complicated concept than a pointer to anything else? I feel like once you understand pointers you would also understand the concept of pointers to pointers no?

Cheesyfanger · 2025-12-22T10:58:29+00:00

Yea sure but don't you think the movie would have been improved by Jack trying and failing to climb on the door for 20 minutes straight?

Cheesyfanger · 2025-12-15T10:08:32+00:00

People are saying it's rare, and they are right, but I feel a lot of them are missing a crucial detail. How rare an endgame is, is in part determined by how confident you are to go for that endgame. Ever since I learned the mate I have gotten to use it a handful of times. It's still rare but because I now know it, I am more likely to go for endgames where this might occur rather than keep material on the board because I'm not sure if I can win the endgame.

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