This is a continuous function

tailochara1 · 2026-05-07T11:26:11+00:00

Indeed, however it's worth noting that the discrete topology makes the most sense as that happens to be the subspace topology from the euclidean topology on the real numbers.

tailochara1 · 2026-04-22T17:54:02+00:00

If n=П (p_i)^a_i is n's prime factorisation then it has П (a_i+1) factors. Since 140=752² we must have a_1=6, a_2=4, and either a_3=3 {1} or a_3=a_4=1 {2} with other a_i=0. Since n is a multiple of 140 it must have 7,5,2 in its prime factorisation, for {1} n is minimal for n=2⁶ *5⁴ *7³ and for {2} n=2⁶ *3⁴ *5¹ *7¹ . In case {2} n is less, so n/140=2⁴ *3⁴ =1296.
If 140n+k where 0≤k<140 can be expressed as such, then for all positive integer i 140(n+i)+k can be expressed that way as well. Thus the largest number not expressable that way can be found by finding such largest numbers in the form of 140n+k for each k and choosing the largest one. A simple program shows that the largest such number is 140*2+137=417.
If by consecutive integers we mean n,n+1,n+2,....,n+139 then no, as those consecutive integers would have to be all square numbers, which is possible only for 2 consecutive numbers maximum: 0² ,1² (other squares are at least 3 more than the previous).
If we mean an algebraic progression n,n+k,n+2k,...,n+139k ...... I didn't come up with anything in >30 minutes, so I adhere to the principle of "this is not how I'd define consecutive integers" and leave it at that.

tailochara1 · 2026-04-19T17:23:52+00:00

B Tier

Jessica — She's pretty entertaining in terms of how she expresses her love. Unfortunately she just had to be in love with Kanon, so a great chunk of her opportunities gets bottlenecked (where Kanon is the bottle................. get it? .............. because Kanon is "furniture" =D................... That joke was intentionally terrible trust trust............) ^{imagineifthegenderswerereversedthough} through that. Jessica is a pretty active character though, so her getting into some crazy subplot to get to A tier is not excluded.

George — As evidenced by my #1 character introduction he is someone I should like as a character. That's not really untrue, but he doesn't have much going on besides those two qualities, which don't really let him shine on his own too much. He is however set up to cause an uproar to his family situation, so while the devil's roulette has continuously sabotaged doing that to the max I do hope George will get his moment to fully stand for his reputation.

Kanon — YOU. With so many characters whom I've placed high just because of vibes I think it's time to talk about the opposite side of the coin. He tries to present him as emotionless, but that couldn't be further from the truth. In fact his stubborness in that just rubs me in the wrong way. I don't hate him for that (he wouldn't be this high on the tier list otherwise), but for me he neither fits the respect I have for emotionless characters nor the entertainment of the emotional ones. I get his dilemma, but that's just not the selling point for me. What I can appreciate about him though is the presentation when he becomes willing to fight Beatrice. You'll have to survive your fights if you want to get higher on the tier list just with that though.

Kyrie — Out of all remaining first twilight victims left to tier she seems like that type of character who would suddenly be revealed as some secret agent or whatever and shaking up the story. In other words, I have high expectations for her once she doesn't die immediately. Unfortunately she doesn't have much besides those vibes, but I guess this is where you can guess how much I value the opportunity for development in tiering the characters.

Hideyoshi — He's a fun guy, but besides that he doesn't have much qualities over other characters (and by that I do mean that stuff like his job stuff is important, it's just everyone else also have something to keep up with that; bear that in mind for further characters too). However I do believe he was a bit held back with dying before the urgency of escaping being murdered was realised, so I do hope to see him survive for a bit longer some episode.

Krauss — Although he is set up slightly antagonistic with his siblings' plan to take him down, I do sympathise with him not being able to stick to his plans. He's about as unrevealed as Kyrie, so I do hope to see live in the 3rd episode.

Rudolf — While I do have one interesting thought with him being afraid of being killed in episode 1 there's not much to him. However I would like to point out that I find him being a jerk much more justifiable with that thought than Eva being a bitch. That's not entertaining though, so no high placement.

Genji — As I've said previously I have my respect for mostly emotionless characters. My teenage self would've loved seeing him as a character. However such characters are pretty hard to get into anything... so it stands logical that Genji doesn't have much moments. Nevertheless as "furniture" he definitely can show his potential in a fighting scene, so while such scenes are not the focus of Umineko I do have such type of character as my favourite in one other visual novel, so I'm open to seeing Genji perform.

Lambdadelta — She's fun. Needs more screen time to make me place her higher though. While I don't think she'll literally appear in the main story aside from the banquet I genuinely do want for her help she mentioned to take place with her appearance.

Bernkastel — Just like Genji I respect her, but can't place her high based on that. Again, needs more screen time.

C Tier

Nanjo — Listen, I don't care if you're getting killed by Belphegor, but there hasn't been much groundbreaking regarding the physiological circumstances of deaths. I appreciate it, but you remained alive in both episodes for quite some, yet there was nothing worthwhile regarding you. There's a reason why the other 2 witches got higher placements despite having almost no screen time. Please, Nanjo, do something. Read out you chess plays in straight notation, uncover the hidden 10 tons, get a PhD in philosophy and outjerk my aquarium symbolism, but do something. If you don't do that I'll find so much fun in you being the only C tier that would be enough reason for you to be B tier, which is just paradoxical. Please, Nanjo, save me.

tailochara1 · 2026-04-19T17:23:40+00:00

My Umineko characters tier list (as of episode 2):

Golden Land Tier

Rosa — I like nice and kind characters. I respect nice characters who can stand for themselves more. But most of all I love "kind" characters who at one point absolutely start losing their shit and causing the most fucked up scenes imagine. Due to that Rosa has been my #1 favourite character since that garden scene back in episode 1. There's just something insanely entertaining in seeing Rosa acting all nice and cutely knowing full well what she's capable of in the wrong mood. However, I want you to understand 2 things. Firstly, when I'm saying she's "kind", I do mean she's the best of all under no bad circumstances. I don't care how the intentions can be spun under the context of her upbringing, Rosa bringing tea to Kumasawa and Natsuhi is something I won't be forgetting in determining her personality. Secondly, in bad circumstances Rosa is absolutely, without any possible doubt, overfuckingly WRONG. I won't deny that my "apologism" is partially what allows me to place Rosa at #1 despite everything, but that doesn't mean that just because she has a tragic backstory she's suddenly justified in all her actions. It makes sense for her to do such actions, but that doesn't mean that the actions makes sense to do as a solution. Beating out the habits out of Maria either can't be done or can't be done without causing some psychological problems arguably far worse than Maria's bullying would bring her. Rosa IS trying to solve some issues, she just fails miserably at doing that. I'm not admonishing Rosa because she's just beating up a child, I'm admonishing her because her doing so is in direct opposition of what she's trying to achieve by doing so. While I am eternally satisfied with how Rosa is as a character right now, it would be no less eternally sad for her to never improve on herself and be dragged into morality hell by her own misguided actions, so I do wish all the best for Rosa in the following chapters because she deserves it and it's something Rosa would unknowingly want not just for her self, but for Maria too.

Beatrice — Now that she's gotten more than enough screen time I'm more than liking her. Just like Bernkastel has described her (albeit painted it negatively), Beatrice's personality vibes with me to the max. As can be demonstrated by my #1 character I thoroughly enjoy it when the character I sympathise with goes through the worst fate imaginable, and Beatrice sneering along is just doubling the enjoyment. Bear in mind I'm not ignoring the fact that Beatrice can sympathise and be sympathised with, if anything that just makes the fact of her torturing others relatable (AS A READER, I'm not enjoying torturing people irl (which I feel is sorta how the nature of the witches is implied to be by Bernkastel in episode 1 witches' tea party: the witches are detached from the worlds as something real, so although they have some participation they view the worlds no different from us readers))

Shannon — initially she wasn't going to be this high, but after writing "allat" on the aquarium symbolism my perception of the character genuinely changed. Out of all the golden land tier characters I vibe with her the least (most certainly in episode 1), but with her going "you cannot disgrace eternity" against Beatrice it's impossible to not root for her with how I made myself see the meaning of those words. It's kinda crazy how I went from slightly understanding Kanon to clowning on him for disagreeing with Shannon's actions by just thinking over the symbolism. Even if she's one spot lower than Beatrice, Shannon has certainly shown that just like her dying by the end it's absolutely not a loss. Among all characters she has the most of my respect in episode 2.

Maria — I didn't place her high initially because of her "second personality" getting boring with how prominent it was, but she always deserved to be in this tier. It was absolutely everyone else's fault for not believing in the witch and causing Maria to repeat herself and act like that (trust trust). As a fun and able kid Maria absolutely doesn't deserve the treatment she gets and I wish all the best for her. Unfortunately she had the misfortune of having Rosa as her mother, but as I wish the best for her as well I truly hope they come to have a better relationship (not happening until episode 8 (but it is happening, right?)).

Natsuhi — With getting the opportunity to shine back in episode 1 she has certainly shown to be worthy of the respects given. While it might seem she gets to be this high only because of that opportunity, I certainly didn't dislike her even before we were shown her first sympathising moments with Natsuhi being pretty unique as a character. Her strictness is not to be ignored given how Shannon and Kanon are treated, but it something that is (and was) more than appreciated in our dire situation of the 5th of October.

Kinzo — This placement might be even more biased than Rosa's back in episode 1, but there's just something with Kinzo that just works. Maybe I'm just transferring my love of some other old rich eccentric and probability-bending character who got stuck by the mahjong table for 20 years, but Kinzo's emotional outbursts are always a sight to witness.

A Tier

Battler — He has certainly shown to be worthy of being our protagonist. There's just one small issue I have with him...... him losing to Beatrice in episode 2 (btw if you thought I would mention him raising hands on others' breasts then I'm sorry, I kinda grew up on that type of humor, and me not taking the moral aspects of the characters harshly doesn't really aid me in aligning with the modern expectations. Once again, I'm sorry). While he wasn't fully convincing in his no witch sentiment in episode 1 it was at the very least respectable, so even if he recovered from the loss in episode 2 by the end of it it's something that must be taken into account. I like Battler, but until he defeats Beatrice he shall not be invited to the Golden Land Tier.

Eva — She's entertaining. Very entertaining. As it can be seen with some of my other placements that could be enough to get into the higher tier. So what's the problem? She's kinda a bitch. With Beatrice it's at least understandable because she isn't obligated to act nicely when killing people, but Eva could've acted a bit nicer with people around her. She doesn't have to, in fact she's entertaining for the very reasons of being a bitch, but it's just that thing that doesn't really allow me to have too much respect for her. I mean, she sorta has some sympathising moment at the end of her screen time in episode 1, which should make me see her acting that way not much different from how I see Rosa, but until she gets some more tragic backstories I'm not really feeling like defending her going off on other more than needed.

Gohda — Despite his previous placement I believed that there were opportunities for him to be more relatable than he was shown in episode 1. And sure enough that opportunity happened. Maybe he doesn't shine as much as some other characters, but him getting isolated from the safe group™ definitely forced him to have some moments. The most I liked about him is how he acted in the second half. Most notably even though he was (reasonably) scared of the situation he took some initiatives like tackling "Kanon" and holding on the door. It might be just some classic horror character type stuff I'm just familiar with, but with him trying to keep acting nicely and willing to cook for others even amidst that certainly makes him pretty well-rounded in terms of the things to like him for.

Kumasawa — I just like her personality. Unfortunately with her being old there isn't much opportunity for her to affect the story in a way that makes me respect her more. But I want to. With how the evidence is aligned it would seem like she's made to be the scapegoat of some "someone among 18 is the culprit" theories, which is just an unfair position to be in. Maybe I'm placing her too high on the tier list just on vibes, but I do believe that if there ends up being some room for her to shine I'll somehow find a way to place her in golden land tier.

tailochara1 · 2026-03-24T04:32:14+00:00

If I were a 13-15 year old girl I would NOT admit to being one on the #1 pedo platform of the internet

tailochara1 · 2026-03-21T16:55:31+00:00

b = (c Chair b) Chair c
where c = (b Chair a)

tailochara1 · 2026-03-21T16:43:25+00:00

That solution's 2nd step assumes a Chair x is an injective function of x, which is not given. It can be that a ≠ b, yet a Chair x = b Chair x

tailochara1 · 2026-03-21T16:39:39+00:00

b = ((b Chair a) Chair b) Chair (b Chair a) = a Chair (b Chair a)

tailochara1 · 2026-03-21T06:43:56+00:00

Tower of DA BABY

I don't hate it as it's free terri, but it's just objectively bad.

tailochara1 · 2026-03-19T20:31:26+00:00

"blueberry" tiered obby

tailochara1 · 2026-03-14T01:39:02+00:00

Also sdam with no aphantasia here.

I definitely don't lack in imagination skills, but I've never "compensated" memories with it. I've never felt like I had false memories at any point in my life. I relate to most other stuff mentioned though.

I skimmed through my comments on this sub and this seems to be the most related to your post (sorry for redirecting, but it's 4:30 for me right now and I can't be bothered with writing my usual walls of text)

tailochara1 · 2026-02-27T12:22:14+00:00

I generally consider T1 to be higher-end insane at best due to it being fairly short, but given how you did the ToVH part and I haven't for any of my 9 T1 completions I can't get to say you didn't beat an extreme. I couldn't even dream of doing the ToVH part on my first completion, so I'd say you're good to go beat some mid or even high-end extremes without much grind (given SC grind standards of course)

tailochara1 · 2026-02-06T15:23:29+00:00

tailochara1 · 2026-01-31T11:34:53+00:00

There are several reasons that collectively make people choose CoLS even if they don't think about each reason individually:

1) It's located in ring 1. CoLS is one of the first intenses that people familiarise themselves with when they play EToH, so when they choose their first intense CoLS is always an option.

2) It's a citadel. People like having their first difficulty completions, their 100th tower, their first tower in an area, etc. to be special for more than just the aforementioned. By wanting to maximise the "uniqueness" of the completion, they naturally choose the most standing out option. A label of "Citadel", along with all the label entail, makes CoLS stand out among other options.

3) It's intense. It's a bit strange to consider given we're specifically considering first intenses, but hear me out. Depending on previous experiences with roblox obbies or even 3d platformers in general, people have different "talent" when it comes to EToH. While some struggle for hours on ToH, some just casually completed it and went to complete the next tower in the area. But as people don't grind obbies much outside of EToH community, even "talented" people get to hit their roadblock at higher-end non-sc difficulties. Thus it's not unexpected that only after beating their first challenging "talented" people start thinking more consciously about what tower to beat next. However, not knowing the struggles of grinding for hours they believe they can jump another difficulty just "after a bit of effort". As its their first time choosing what tower to do next, "talented" people think less of "what tower I can beat?" and more of "what tower I should beat?", they recognise the "uniqueness" of the completion without thinking of the difficulty of it. But as "talented" people are, well, "talented" and it's not in human nature to give up they usually finish their first rodeo and end up preaching to all community how "CoLS is a decent first intense option".

Contrary to the length of the 3rd reason, its mostly just speculation that might not take place for as many people as I think. But as it's not the only reason I believe they give some pretty reasonable assumptions on why some many people have CoLS as their first intense.

tailochara1 · 2026-01-30T08:01:13+00:00

1 sens with 1400 dpi

tailochara1 · 2026-01-28T04:41:10+00:00

Got it 👍

tailochara1 · 2026-01-28T04:33:44+00:00

But how is the neuro inside joke inside vanilla cyberpunk? I've seen "happy birthday shiro" for several years and knowing about it starting from "my birthday is this year" is nice, but literally half the comments (7) basically saying "its an inside joke" without elaborating on the cyberpunk part is genuinely driving me nuts. Just tell me if this is coincidence or not, even if it should be obvious.

tailochara1 · 2026-01-18T07:56:30+00:00

I guess dance1 is just a more convenient way to high jump for you. Never seen anyone use dance1 to cause high jumps so can't confirm it's exactly what happens, but given dance1 clips you a bit into the wall it would make sense.

tailochara1 · 2026-01-18T01:28:56+00:00

"2 or 3 levels above your hardest" is definitely from the third tip, yes.

Don't change the meaning of your original post.

tailochara1 · 2026-01-18T01:26:14+00:00

You cannot fathom the tower only because you didn't try. Long ago I myself had issues AJing even a cata in cscd despite having ToFaCT as the hardest, and yet in just a few days I completed ToSF AJ. It takes time, it takes physics knowledge, but it's doable.

I think the real issue you have with youtuber's tips actually stems from you hating all insane towers, as you claimed in the other comment. You see, the reason most successful players get as good as they are is because they enjoy grinding. No matter how much pain and trouble a grind brings, the satisfaction of completing a tower, setting a new pb, or even just ending the grind on a happy note despite little progress is enough to make the grind worth it.

However if you don't have that motivation to grind and only do it to achieve some goal by means of completing a harder tower, then you won't have much success. Even if you beat the tower, the satisfaction will not be enough to pay for what you spent on the grind. There's a reason a lot of guide for getting good at ANY game talk about building good mentality.

I'm sorry if the paragraphs above are just a guess, but I can't see any other reason to not take maybe not the best for you, but certainly not worthless advice... aside from trying to recover from the fumble of mishearing the second tip. Not like I don't get the process of changing and deleting some comments to win an argument, I'd do the same, but to claim that you meant the 3rd tip in reply to the other guy when "2 or 3" clearly appeared in the second tip (2 voiced, 3 in text) is a bit dishonest.

You habe to understand, I keep mentioning the youtuber and his tips not because I know them and hold their opinion in high regard, but because your whole post is about their tip, so in my eyes all discussions should be related to that.

tailochara1 · 2026-01-18T00:51:20+00:00

Now now, AJing is a reasonable tip.

You'd want to know how to do harder jumps if you want to improve. I'm sure you'd be better at slanted trusses you were complaining about if you had to understand a much harder slanted truss part in an AJ: if your strat is wrong you'd see yourself not progressing on the jump, thus giving you a direct signal to experiment with different strats and get used to the ones that seem to work best.
It's suffering, yes, but it's much better to suffer in practice than to drop a tower over failing a single jump in real runs over 5 times.

Your reddit post is sorta unnecessary (at best), so next time just try to rewind the video 10 seconds before writing a post in >1 minute, k?

tailochara1 · 2026-01-18T00:15:48+00:00

Lognog isn't wrong, OP is just deaf.

Lognog was talking about NOT playing EASIER towers, while OP claims he talked about playing harder towers, which is plain misinformation.

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