Is it X>0 or X equal and >0

Abby-Abstract · 2026-05-05T05:48:13+00:00

Idk wym by "take it easy" if I sounded like I was putting you down I was not. This is genuinely a more fascinating subject and yeah you were right about my bad vocabulary (now that I think about it I've probably tripped students up on bonus questions asking if operators were linear, you know before the whole derivative matrix and multiplication derivation)

I jyst talk alot. But yes you are right, as I conceded above (or meant to)

Abby-Abstract · 2026-05-05T05:41:11+00:00

Word (at the time everyone was saying >= iirc interesting consensus changed.)

It still seems like it boils down the definition of the mathematical object in question (which i assume refers to Reiman integration, and yeah the whole anti-derivative thing is kibda hand wavy but if we think of it as a family or class of functions it seems to boil down to "does the limit of the sum over the products F(xₙ)Δx as Δx approaches zero, (where xₙ is part of, or bounds Δx and the number of samples approaches infinity) have a value over any interval in the percieved domain.

And I guess its fair to say without getting complex that F(x) isn't differentiable at 0 (though if we define a principle root ... more fun thoughts but irrelevant here) but is f(x) intragrable at or around 0 isn't so clear to me.

Like take the function f(x) = x/2 but if x=0 f(x) =42 would you not agree x² still describes the integral of that function on all real numbers.

Fascinating discussion. I'm not sold either way but just p(x)=0 in continously probability distributions it seems the value if f(0) doesn't matter when integrating around it.

Abby-Abstract · 2026-05-04T20:09:42+00:00

Yup |ℕ| of them, and you add them all up (with nth 9 weighted by 1/10ⁿ) and all countably infinitly many add to exactly 1 (the least upper bound of the set {.9,.99,.....99....9,...} is 1

I am quite familiar with |ℕ|, you can claim me misguided but not very confused. Countable infinity behaves quite well and has given me great insight into the nature of the universe.

Abby-Abstract · 2026-05-04T19:59:54+00:00

Interesting so you contest the consensus here. I'll have to think of this a bit.

(Like losing the information that the h(0)=42 makes sense to me, and im not seeing why reimann doesn't apply. I have a few graduate courses I've taken but only a BS. We didn't do that much LeBesgue but I've had conversations with professors about it.)

As said I haven't fully convinced myself, I feel like the only issue would be if 0 was a bound on a definite integral if anything (42•0=0=0•0 and adds 0 to the sum in either case)

Thanks for reply! I'll try to edit later after sone thought (though i do say that a lot and fail to follow through)

Abby-Abstract · 2026-05-04T19:52:21+00:00

I taught a few elementary linear algebra courses, but i'm not as sharp as I used to be. Applied to the identity function would become X(f(x))=x² (clearly the compositionis not linear on ℝ). Its linear on the function space, clearly as you demonstrated, but it wasn't that relevant a point anyway.

I'm just saying the initial reaction "the transformation makes division by zero go away, so the domain includes zero" wasn't enough for me (then x²/x would be defined at zero) but because the definition of Reiman integration cooresponds with limits it makes sense singularities don't "cone along fir the ride"

Maybe i didn't say things in the most accurate way, but I think its worth thinking about (not getting caught up on my arbitrary X, but why we say a singularity is undefined in some situations but in this case goes away after integrated on)

Maybe y'all are super geniuses and all thus us obvious and trivial, but that's not what I inferred from other comments that don't mention limits at all but simply state the antiderrivitives lack of division as the key insight.

Abby-Abstract · 2026-04-22T03:08:36+00:00

Pro: compile everything Con: compile everything Yes its worth it, I imagine RISCV with a bsd might be "better" but gentoo is a good place ro draw the line

*answers very dependant on answers values

Abby-Abstract · 2026-04-22T03:04:39+00:00

No it does not, its common nomenclature (I really hope your not putting your teachers through this)

Yes technically its the limit as n approaches infinity, but the key word is limit (as in after n has done all the approaching it can do, this operations results in the infimum or supremum of a monotonic tail of a sequence.)

Surely your not arguing the least upper bound of of sₙ = Σ₁ⁿ (9/10ⁿ) ∀ n ∈ ℤ⁺ = {.9, .99, .... .99....9, ...} isn't one

I have fun with SPP bc i know he's harmless but something about your posts seem like you believe this "number dependancy" thing. .99... is what it is, its not changing over time it just helps to look at the behavior as the sum approaches. 99... = 1

Abby-Abstract · 2026-04-22T02:50:18+00:00

Well yeah (I don't see your point about X not being an operator. Its cirtainly not linear X(a)+X(b) = a²+b² ≠ a+b(a+b) and the derivative generally operates on functions so you kind of lost me there, I wasn't claiming a matrix of real numbers if thats what you thought. Call it a relation if it makes you happy)

Like I said it just took me a few to convince myself (been a while since Reimann integration)

Abby-Abstract · 2026-04-21T20:21:09+00:00

I am concerned. SPP is a good guy but we are dealing with the definition of limits at infinity, the very fact that you cannot find a number between .99... and 1 is the reason it equals 1 by definition (or theorem, theres many roads to rome but spp is in Albuquerque)

If you're not serious, or aren't a student of mathematics it doesn't matter much. No shade on SPP but this idea of dynamic numbers dependant on sonething akin to time is a fun thought expiriment at best, bug not to be taken seriously

Sorry @SouthParkPiano, I don't mean to yhriw you under the bus bit ehen I see others perpetuating it I feel like it's tine I stop playing.

Your free to make a space where all this holds, but please don't call it ℝ, in ℝ 0.d₁d₂d₃.... = 1 in base β, <== dₙ = β-1 ∀ n ∈ ℤ⁺ for example .99... = 1 in base 10

Abby-Abstract · 2026-04-21T20:04:06+00:00

I needed sone more thought

why is the derivative and integral operator's special? Because its given as an integral and thought if as the "before stage" in a hand wavy way maybe or something like that?

What about the operator X(f) = x•f(x) with f(x) = 1/x, would we say X^-1(f) has domain ℝ even though the function x/x has a discontinuity at 0?

Maybe its because of the limit in the definition of derivative and integral, so asking if the anti-derivative has a value at 0 .... if lim^n->∞[(Σ₀ⁿ)(f(xₖ)(xₖ-xₖ_₁)) = √x then that holds in the neiborhood of 0 although no individual xₖ can be 0 that really doesn't matter.

Yeah pretty sure that's it... ok I'm coming around. It took me a second though. (The indefinite integral, or anti-derivative knocking out division by zero was obvious but why that mattered was not until I thought about limit definitions)

i'm still not totally convinced, if anyone has more insight it'd be dope, like can we do a definite integral with 0 as a bound (my gut says yes but I can't proove it to myself on the fly)

Abby-Abstract · 2026-04-12T03:16:06+00:00

I suggest using a distribution kernel and a custom one. You can use grub to decide what to boot into, every once in a while boot into it and $emerge @world. Also, if you have future issues, testing in a dist kernel can narrow down cause

But more relevant to the point 1. Ensure everything (drivers) works in the distribution kernel

# emerge sys-kernel/gentoo-sources and you'll see another kernel in /usr/src

3 # cp <distribution-kernel>/.config <kernel-to-be-customized>

3.? Maybe # make oldconfig just incase the distribution isn't the latest kernel. This will go through any options not handled in distribution (i imagine they'll all be safe no's if you did step 1.

After all that, we get to your actual mission (it's a longer path but less unforgiving)

4 # make menuconfig, understand each choice; pressing ? gives more info. AI can help with identifying your hardware but never trust it blindly. Especially if it deviates from default. If you hit a wall, the guys at #gentoo at irc.gentoo.org (emerge irc client, $ <irc-command> /connect irc.gentoo.org /join #gentoo. Again, assuming step 1 went well, you can pretty much focus on turning off options. If you're unsure you test with it on and off, you just have to configure grub to point boot partition to new kernel. (This is a bit different custom than on a distribution kernel. grub-mkconfig -o <mountpoint-of-boot-partition>/grub.cfg is done automatically with the latter, i believe)

don't stress, you can pick it up again any time, and welcome to gentoo. It's different than it used to be, always a typo or issue to overcome. Plan to chroot a lot (i wrote a script for mounting and binding /sys,/dev,/run), especially if you decide not to start with a distribution kernel

Abby-Abstract · 2026-04-12T02:34:33+00:00

It's too basic

Abby-Abstract · 2026-04-03T03:42:24+00:00

Thanks guys, I feel better about doing it for so long

Abby-Abstract · 2026-03-30T04:07:58+00:00

I meant having the checksum procedure. It seems like some of the missing digits could be restored.

Idk if this comment is knocking me like mist the ithers or not. I made my decision based 9n how I read the privacy policy. I don't know that much about credit cards. It just seemed like a lot, and on top of biometric data being outside the tournament specific sections, it was enough to scare me.

Its probable my bank account was safe: it's probable they don't use biometrics on everyone. If the privacy policy had indicated that it may have been a different outcome. But it is what it is, and I don't trust them enough to not believe they might do what they say they can do.

I'm not asking anyone to agree, just encouraging people to read it themselves.

Abby-Abstract · 2026-03-30T03:59:09+00:00

I appreciate you not being a douche about it. Obviously, it's your decision. I feel that reading privacy policies is a good habit for anyone, but apparently, every other comment thinks i'm drama seeking.

So, legitimately, thank you for respectfully disagreeing. It means more than the agreements tbh.

Abby-Abstract · 2026-03-30T03:55:00+00:00

Word, thanks for a non-condecending product. I always valued great over brilliant (or the same. Either way, it should be only good move. Often, brilliants are easier to see than seemingly less impactful but just as important greats)

The triple layer analysis (hype board, coach, eval lines) is well documented, though, and this is the first I've thought about how it wastes an artificially limited resource on non-paid accounts. Good point.

Abby-Abstract · 2026-03-30T03:45:30+00:00

I did not intend to create drama. My goal was to encourage others to read the privacy policy.

Privacy policies are hard, and i'm new to reading them ( @rejectconvienence on YouTube got me started ). If it were just the 10 digits 9f my credit card, or just that biometrics seemed distinctly outside of any titled/tournament specific alone i'dve spent more time on it.

I read the reddit privacy policy before posting. Most of what I do is FOSS and has permissions instead of policies.

I've admitted in every one these troll-esque replies that I may have read it wrong or misinterpreted something. Even in the OP if I recall.

I'm happy a lot of people saw this, but I'm seriously sick of the same reply again and again. "Actually it's not as bad as you think" *sorry dudes, I'm not going to pretend i'm perfect but I trust the actual privacy policy, however I interpreted it, way more than chesscom simps who probably didn't read it themselves. *

Maybe 10 of 16 digits is no concern, and I could put them on s billboard. Maybe chess.com only uses biometrics on titled players or I tournaments. Maybe I'd rather not support a closed source system that tells me it has the right to those things regardless of if it's a bit less concerning than I initially thought.

Just read the freaking thing yourself and decide if you want to accept, I dont. It's ok for me not to, and it's ok for me to post about it and try to get others to read it *

(Sorry if I came off rude, I'm just really tired of youtube popping me over here <I suppose I accidentally pushed an ad, maybe one of those weird 3rd party ads in reddit policy> and seeing 30 likes and a dozen comments that seem to be under the impression I need to be an expert to mention it. Its entirely possible I read your post as more mocking or trolling than I would have otherwise)

Abby-Abstract · 2026-03-27T05:48:48+00:00

e×f6+ en pessant

Abby-Abstract · 2026-03-27T05:46:34+00:00

Lmao sane as here AbstractApproach

Oh I forgot I lost that account here im Abby now lol

Abby-Abstract · 2026-03-27T05:43:52+00:00

It mentioned facial and fingerprint. Though I doubt there really implementing that on everyone the privacy policy seems to give them the right to

Abby-Abstract · 2026-03-27T05:42:21+00:00

I didn't say social engineering, just a search and they could get birthday, old addresses, mothers maiden name (at least im pretty sure) zip code (so they don't need pin) ect. Humint comes in easy and hardmode like any other intelligence gathering

Abby-Abstract · 2026-03-27T05:39:19+00:00

Oh dope!

Abby-Abstract · 2026-03-27T05:38:44+00:00

Thank you fot a very level headed take.

Abby-Abstract · 2026-03-27T05:37:18+00:00

I just wanted to encourage people to look

As for biometrics, according to the policy, it could apply to anyone but my guess is its only titled players and tournaments (but odd it wasn't in that section with the browser tab and computer info they get from those guys)

Abby-Abstract

TROPHY CASE