#NOT at random with zero logic or consistency

[softgrungeprophet]

number one way to piss me off instantly is to trot out the wine dark sea as "evidence" that the ancient greeks "couldn't see blue"

first of all "wine dark" is not a literal translation, it's an interpretation of a metaphor that doesn't mention color at all and is comparing the choppiness of the sea to intoxication/drunkenness, not to the literal dark tone of red wine

second of all, if you think lacking a base word for blue is evidence of an inability to see blue, you don't understand how language works and are making ridiculous assumptions about people's biology and color vision from only a couple thousand years ago, based on a non-literal translation of one specific work

third of all they literally did have ways to discuss the color blue. but even if they didn't, not everything is identical to the american english language approach anyway, and there is generally no such thing as a universal trait in linguistics, so even something you take for granted being absent in another language isn't actually evidence for some kind of fundamental biological difference (frankly that veers too close to eugenics for my liking), and is just a different approach to contextualizing reality.

[imthepunchlord]

Do you think Gabriel is a better character than Adrien?

No, honestly, ML over all doesn't have any "good" characters. And it's largely due to their writing.

They either have characters hop between two extremes and they have those two extremes exist at the same time like Gabriel "I love my son" to "HAHAHA! I'M GOING TO CHUCK MY SON ACROSS PARIS!" or "Chloe the Hero!" to "Chloe the Villain!" or Alya "Marinette I'm your best friend, here to support you, you can trust me with your secret and I will keep things secretive" to "I'm Lila's best friend, you're just being jealous, and hey, Nino, I gotta tell you something".

Or characters have the issue of just being stagnant and they just don't do anything with them, which hey, there's consistency at least, but you're kinda boring as a character cause nothing changes or is done with you, best examples being Adrien and Luka. But we can appreciate consistency so thumbs up?

Or characters are a pinball that writers will fire at random to meet their needs in certain eps so there is zero consistency in their characterization. Best and biggest example is Kagami. Riptose introduces her as someone overly dedicated, no nonsense, competitive, doesn't like her time wasted, and holding herself to a very high standard. Frozer she's a bold romantic, who is still willing to pursue Adrien despite him saying he wants to pursue his initial crush and wasted her time (Riptose Kagami would've slammed the door on his hand). Then Animaestro she's a more subtle Chloe, purposely acting out to make Marinette jealous and show off her close ties with Adrien. Then Ikari Gozen she's all "I want to befriend Marinette but she's initially hostile/wary of me why?".

Lastly, there's the plot device, best and biggest example is Lila, who can mold the narrative to her needs that it throws logic out the window and she only exists when necessary.

So is Gabriel better than Adrien?

No.

Not by a longshot. He's bad by different means.

Adrien suffers by being stagnant, and by making choices that are clearly bad and should be called out, made to be a lesson, or give him some form of consequence, but aren't cause he's not meant to grow as a character.

Gabriel is bad with his inconsistency. Between his feelings of his son, between how we're supposed to feel for him which they do try to play the pity card sometime but he's also an active eager terrorist, between whether he's a joke villain to laugh at or if he's a more serious villain to take seriously. The latter of which is especially hard cause he's an idiot. Dude had freaking time traveling power and he stilled messed it up.

Gabriel I'd probably say is the most embarrassing part of ML simply by the extremes of his portrayal as a villain, cause he's meant to be that idiotic Saturday morning villain to laugh at, but he's also meant to be the big scary force that you're to take very seriously.

It's very rare to get these two to mix, and ML's crew are not skilled enough to do so, leaving Gabriel as a threat you can't take seriously, one that stuck around for far too long, and is someone you don't feel pity for. And his ending is just irritating.

Much like Chloe, with Gabriel they should've just picked a lane in what sort of villain he is.

[celtrist]

Red scleras silver irises Hellborn Tell Theory

I said it before, but I have a theory that red scleras and silver irises are a tell if someone is a sinner or hellborn.

An annoying thing with the hellaverse is that there's literally no telling if someone is sinner or hellborn because both can take a lot of different forms. I honestly blame characters like Chaz as by his shark design, you'd initially think sinner, but we see him in the Envy ring so that's not possible (unless he broke the system somehow?). The clown sisters, and both Mayberry and Martha add to the design confusion (the former looks like they could be sinners, and the latter looks like they could be imps).

However, there is a DISTINCT decision made with Hellhounds that help differentiate them from anthro dog sinners, and it's the eyes. Loona, Vortex, and other hellhounds we see have red sclera and silver irises, whereas someone like Crymini, a hyena-based sinner, does not. Furthermore, Charlie gets these same eyes in her demon form. And the only characters we've seen to have them that have never been confirmed to be hellborn are Velvette, Carmilla, and her daughters Clara and Odette. But if we go by this theory, we could assume all these ladies ARE hellborn. The theory goes more by the logic "not all hellborn have the eyes, but NO sinner can have them".

One thing people never point out is that, unlike Vox and Valentino, Velvette was NEVER described with a year of death. This wouldn't be strange if not for the fact all the sinners of the main cast in addition to two out of three of the Vees were given a year of death. Velvette dying sometime in the 2000s or 2010s was never an officially stated thing; it was only a headcanon made and adopted by most fans!

I think it would be interesting (and a good helpful design decision) if the eye thing was the case. Would it be more useful to just have normal consistency between hellborns and sinners? Yeah, and I mean, it's not like the issues with Chaz and the other happen often. In fact, it's really been only a helluva boss thing with hazbin taking focus on sinners. But, they ARE there still, in the world with nothing stopping either show from adding a sinner or another hellborn to the stories, and it would be fun to have that aspect to help differentiate hellborn and sinners.

Also, I feel like it would make sense for hellborn to be able to become Overlords too, and offer an interesting dynamic between Velvette and everyone else. Hell, she and Charlie could even have a 1 on 1 bout on how they're not like any of their associates being born and raised in Hell and try to sway Charlie to betray everyone with her... somehow. Something would be nice considering, as far as we know, she's the only one of the vees that have zero connection to anyone at the hotel. Which I think works fine, not all the vees need it. But forming an interesting connection between Charlie and Velvette would give both girls something to be involved with as, right now, the vee story doesn't seem to have the need to involve Charlie much. Aside from Vox manipulating her I suppose which will probably be happening.

Now I'm just throwing random ideas out but yeah. Eye thing. Not enough people point it out methinks.

[malka-lisitsa]

What's it like dating Katherine?

I'm so glad that you asked!

I see a LOT of 'Dating Katherine would consist of-" Posts and they're all so romanticized its so unrealistic!!! So let me tell you what dating Katherine is ACTUALLY LIKE, because she is NOT an easy person to be with!

Now quick disclaimer here- this doesn't mean she isn't a good person to date and that it's all bad. It's NOT and I will definitely list the entire spectrum here good and bad- but Katherine is not for the faint of heart and if yall want to fantasize about what dating her would be like you need the real guide book.

SO here's what dating Katherine Pierce would be like.

Katherine is BPD this is a terrible condition that affects her ability to maintain relationships especially.

Paranoid delusions are v common, Katherine has incredible trust issues already (can you blame her) so paired up with paranoia she would be very suspicious at completely random times. One day she could be completely ok with x person being around you and then the next day she could be so insecure and jealous bc her head has convinced her that you are in fact cheating on her.

Katherine's rapid mood swings? Not cute! :D She can go from fine, to white hot rage in a split second and then if you blink shes sobbing! WHY? SHE DOESN'T FUCKING KNOW!! And to top it all off!! She doesn't know what to do with herself when she has these mood swings! Could be anything from isolation, to being needy, or even lashing out randomly! Its a surprise for EVERYONE INVOLVED!!

Picking fights! Legitimate fights out of nowhere! Why? Bc abandonment issues! You're gonna leave her anyway why shouldn't she be in control of that right? She will push you away viciously!! The guess what?? After that episode is over she will try to smooth it over and pull you back because she doesnt actually want to lose you- shes just SCARED and has zero emotional regulation!

She will TEST YOU CONSTANTLY and you will never know, you will never be trained, or given a guide you are expected to know what the right thing to do with/for her is and if you DONT- FIGHT. This is super common in BPD, these tests and theyre almost ALWAYS unreasonable, again bc if you fail the test she gets to pick a fight and rationalize you dont actually care about her and she should push you away before you hurt her.

Intense emotions! My GOD lets not forget that she not only feels things vampire intense but she feels them BPD intense ON TOP OF THAT. SHE WILL BE UNREASONABLE. OFTEN. IT IS NOT HER FAULT. She literally has no control over it. She is not logical when triggered it is ALL emotional lizard brain. If you push her she will bite you- no middle ground.

She will get scared, and she will most likely try to run, or push you away. Anyone who can reach you, can hurt you- and Katherine has a built in warning system when someone starts to get close enough they can actually hurt her- the the instinct to sabotage that relationship kicks in.

Katherine is an impulsive liar. You will be lied to. Probably over the stupidest shit like 'we're out of nuggets' so you pick her up something else on the way home. Also probably about important shit. Katherine's most common lie is 'im fine'

Katherine is POSSESSIVE and she is NOT shy about it either. Reactions can vary from some heavy PDA to actual violence...

Dating Katherine is dealing with her insomnia. It's dealing with her waking up screaming, or in tears. It's having her climb in your lap to sleep because she needs to feel safe. Remember this girl has been HUNTED and FUCKED WITH for 500 YEARS. SAFE is never a default feeling for her. She is ALWAYS in fight or flight mode and it's EXHAUSTING when your brain keeps telling you 'cant sleep now there are enemies near by'

Dating Katherine is never knowing whats going on in her head because she wont tell you. You need to learn her very subtle language she communicates in to understand her mental state.

its katherine having very little emotional maturity, and lashing out at the first sign of rejection or criticism. Its Katherine having black and white thinking NO grey area.

Its learning a whole new dialect just to be able to understand what she actually means when she says or does certain things.

But it's also katherine routinely playing games with you. Random games of tag. Making up new rules youve never heard of in checkers that she swears are legit she learned them in mexico. Its secretly throwing games sometimes so she can win and you get to keep playing that game...

Its her snooping through your stuff to get to know you, because while she could just ask, she needs enrichment and snooping is very fun for her.

Its her plopping herself down next to you because she just wants to be around you (even if its picking a fight for attention)

It's her head on your chest as she listens to your heart beat and falls asleep on you.

Its seeing the way she looks at you, with a love so powerful you cant even imagine what it feels like.

its her doing little things to express that she loves you. Thes things vary from doing a chore, to leaving you a present, kissing you randomly, asking to cuddle and watch a movie- its a wide variety she uses to express herself with.

its her asking you to watch videos with her or read to her.

it's finding out all of the little details she knows about you, all the tiny stuff most people don't notice, that she has learned and even likes about you.

its her cooking you one of her 4 known and perfected dishes randomly.

its quiet evenings of just existing in each others company as you do whatever

its play fighting, that turns into a make out session.

its mind blowing sex tbh

Its being loved with a love that was more than love-

its waking up next to this beautifully complex creature and knowing she picked you.

Nah, dating Katherine is not a walk in the park. It takes a very special and dedicated person with a lot of courage to handle this girl. It takes someone with patience. Someone with determination, and the ability to love her at her absolute worst. It takes someone willing to UNDERSTAND that she is not always in control of her behaviors. That she is just as fed up and scared and done with the way shes acting, but shes TRAPPED on the inside of her own head just WATCHING herself tear shit apart and she cant do ANYTHING to stop it.

It takes someone willing to meet her aggression with a gentle hand. It takes someone who will reassure her constantly that they love her and want her. It takes someone who understands that she needs special treatment most people would deem unreasonable or entitled. It's a toxic relationship until you learn the cheat codes to bypass her defense mechanisms. It takes time and dedication. So if you're thinking all of that sounds toxic and terrible, then you honestly don't deserve all the good, all the light she can be when handled properly.

Katherine is a girl who loves harder than most people could even imagine. She's dedicated. Shes smart. Shes a wonderful charismatic person- but she is DAMAGED and requires special care- so if you cant handle the care needs for an exotic animal, it's best you just visit every now and then and let someone whos willing to put in the effort, reap the immense benefits. Dating Katherine, LOVING KATHERINE- it isnt EASY.... but it's WORTH IT.

I'm sure I missed a few things for good AND bad but honestly you get the jist.

[kookiecrush]

do you ever consider that maybe we’re a little too caught up and stuck in the taekook bubble that we are over analyzing every tiny thing way too much and that taekooks interactions just aren’t actually as deep as we’re assuming? ofc they’re close but sometimes i double back and think i’m just too focused on their interactions so every tiny thing they do i am blowing out of proportion. especially when i watch content of the whole group, regular footage from award shows etc. i feel a bit ridiculous believing two of the members are actually in a relationship. ofc their relationship is not meant to be noticeable but rlly sometimes i think i am just having taekook tunnel vision. we see so little of their lives and interactions, i’m sure they have super deep and meaningful relationships w ppl that we don’t even remotely know about. sometimes i think we believe just bc tae and jk r the closest that we can know of, but there’s so much we don’t see

It took me a while to come around to the idea of taekook being real, anon, so when I finally did, I was pretty confident about it. It wasn't a random or split-second decision, and I certainly don't have a habit of thinking kpop ships are real. I've said this before, and I'll say it again. I dont believe in taekook because I want or need them to be real. I believe in them because that is the logical conclusion for me after everything we've seen from them. One or two 'suspicious' or 'interesting' moments might not be a big deal, but we're talking about consistent patterns of behaviour and multiple questionable moments year after year after year.

Do the things taekook do tend to get over-analysed? Yes. Does that automatically mean we're seeing something that isn't there? No. Of course we're biased, but that doesn't mean we're completely incapable of critical thinking. I never assume that everything they do is related to each other, nor do I view everything they do as proof that they're in a relationship.

People meet and fall in love with each other all the time in all different types of situations, anon. What's so ridiculous about it happening to taekook? Some people like to act like the chances of it happening are zero, and I don't understand why. I'm certain people have fallen in love in much stranger circumstances.

Yes, we see so little of their lives, but why are you assuming that what we don't see would show us that taekook are not together when it could just make it even more obvious? We probably see the bare minimum, and they're still suspicious enough to have people like us taking notice of them. BH have tried their hardest over the years to hide the true nature of taekook's relationship, yet so many people still clocked on to the way they would behave around each other and how their relationship seemed different to the rest of the members.

I would never blindly believe without questioning things, but nothing I have seen from taekook in 2023 has made me doubt their relationship. If anything, their antics last year has only solidified my belief 🤷‍♀️

[dc-polls]

Question as we go into the tournament...

Popular go head to head immediately: Ensures underdogs don't get eliminated too early, but some popular ones will not move past round one, which could cause major upsets for single elimination.

Popular match ups later: Traditional seeding where strongest goes against weakest. Ensures popular/strongest ones don't get eliminated immediately. Some less popular ones will go away first round, which is often disappointing to fans of minor or obscure things. This is traditional because the logic behind it is that it's okay for underdogs to fall off early since they probably weren't going to win the whole thing anyway.

Similar content, topics, characters, etc: Hand seeded based on content so that similar entries don't both move on. Can create interesting match ups, but has potential for unfairness if strong vs weak isn't considered in the process. Heavily relies on the curator's judgment.

Random: Introduces zero human bias, but often leads to unfair or lopsided brackets since some match ups might be strong vs weak and others aren't. Easy to set up, but uncurated and lacks consistency.

Personally I think it depends on the tournament and the entries, but I'd really appreciate hearing yalls thoughts on it.

[practically-an-x-man]

Asks! For... Prometheus, Indie, and Robin. (Sorry the asks aren't in order my copy paste board was messed up)

🎄 (you can opt out Prometheus if need be) 🐷, 💚,🍝,🍦, 🤔, 🧐, 💯,🎮

oooh thank you thank you thank you!! can't wait to dive in!

🎄 CHRISTMAS TREE — what is your oc's favorite holiday?

Robin: Christmas, for sure. She grew up in a great big Irish Catholic family, so it's always been a pretty important holiday to her, and once she and her siblings have grown up, it's generally the only time of year where everyone can get together at once.

Indie: I don't really know if there are holidays in the Star Wars universe, or what they would be. She definitely wouldn't enjoy festival holidays, because of the crowds

Prometheus: Christmas Eve. All the kids who celebrate Christmas are asleep, and dreaming of Santa Claus, presents, family, all the pleasant things they expect from tomorrow. It's the closest thing they have to a night off, really.

🐷 PIG FACE — what is your oc's favorite animal?

Robin: I mean, she's always had a connection to robins, given her name, but I feel like she's also been partial to canaries and the way they can sing two songs at once.

Indie: Does Zero count?

Prometheus: Barn owls, of course ;)

💚 GREEN HEART — does your oc prefer being inside or outside?

Robin: Inside

Indie: Inside (away from the crowds)

Prometheus: Outside

🍝 SPAGHETTI — what is/are your oc's favorite food(s)?

Robin: Boxty, it's her go-to comfort food. She also loves cheesecake, and she's got a fondness for boxed mac 'n cheese (it's a nostalgia food for one, and her go-to for a quick meal after a show)

Indie: I think she really likes any fresh fruits or vegetables - Corellia was too polluted for them, and everything in the Order was packaged for space travel, so she never really got the chance for genuine fresh food until she left the war.

Prometheus: This is going to sound like a cop-out, but pretty much anything. They're consistently amazed at how vibrant the Waking world is, and Waking food is no different. Though I think they're partial to the foods they tried on their first venture to the waking world (specialty coffee, sushi, a cheeseburger with fries)

🍦 SOFT ICE CREAM — what is/are your oc's favorite ice cream flavor(s)?

Robin: Mint chocolate chip, or Ben & Jerry's Cookies and Cream Cheesecake Core

Indie: (just gonna pretend Star Wars has ice cream) she'd be a classic chocolate girl all the way. Maybe rocky road if she was feeling adventurous.

Prometheus: I think they'd love coffee ice cream or anything with caramel, but I also think they'd be the person to try something different every time instead of sticking to a favorite

🤔 THINKING FACE — what are some of your oc's quirks/mannerisms?

Robin: she usually walks around barefoot, or trails her fingers across the wall as she walks. When she's bored, she tends to "fidget" with the sound waves around her - this doesn't usually do much, but she's accidentally muted entire conversations once or twice. Whoops.

Indie: if she's wearing her tool belt, she'll tap her fingers along the tools as a way to keep track of them. When she gets agitated or stressed, she tends to lose control of her words and ramble. She's the type to duck and weave through a crowd instead of standing and waiting for them to move along.

Prometheus: they always have fire with them - usually their torch, or a small lighter when they're in the Waking world. They're great at delivering physical contact in a comforting context (i.e. calming a frightened child), but struggle to initiate contact in a romantic context. They don't freeze up much in the Dreaming, they've seen it all, but even the smallest things in the Waking world can wow them.

🧐 FACE WITH MONOCLE — is your oc more logical or emotional?

Robin: Can be logical, but her decisions are often fueled by emotion

Indie: Logical, because she has to be.

Prometheus: Would view themself as logical, but actually more emotional

💯 HUNDRED POINTS SYMBOL — share three random facts about your oc that others may not know.

Robin: Cicadas freak her out, but she's fine with other bugs. She has a faint Deaf accent that gets a little stronger when she's not using her ability to process the sound waves. She's bisexual but probably not very aware of it - everyone develops crushes on all of their castmates when they do a show, right?

Indie: Her habit of rambling stems from her childhood on Corellia - her guardian would tell her to "plead her case" when she made a mistake, but wouldn't give her enough time to actually explain, so she ended up with the habit of tumbling over her words when she's stressed. When she was on Batuu, she had to wear a fake wedding ring because she kept getting hit on by the Lieutenants in training there. She genuinely loves to draw but hardly has the time for it.

Prometheus: They only have a shadow when in the Waking world. Their eyes have a perpetual "spark", like the reflection you can see when someone looks into a campfire. They're a very good fighter, but they HATE guns and artillery because it feels unfair - they'd prefer a classical fight, skill against skill.

🎮 VIDEO GAME CONTROLLER — what are three of your oc's favorite hobbies?

Robin: Singing, practicing piano, playing vintage arcade games (not that they were vintage in her time... you know what I mean)

Indie: Drawing, gardening (once she gets out of the war), and tinkering

Prometheus: Hobbies? What are hobbies?

[littleeyesofpallas]

I can't get over how hilariously bad possession based horror always is, almost like it's a conscious adherence to codified rules. The subgenre is just that fundamentally stupid that even abstractly it manifests the same stupid holes as if by design. The Christian mindset just cannot even begin to make sense of what a possession even is if not a collection of random pointless cliches just arbitrarily strung together

My kneejerk reaction is to blame it on gullible religious superstition but I don't even know if they carry the success of these things commercially.

But it is just so funny to me the overwhelming consistency of the possessions making absolutely zero sense as internal logic. All the now classic symptoms of demonic possession are just so stupid. The demon and/or the devil gain nothing from any of them. There's always this talk of saving souls or the war between good and evil and yet none of the actions taken by any party functionally forward those goals. And the cringey, taking itself waaay too seriously, reverence with which these things try to feebly immitate the superficial aspects of catholic ritual, but again, with zero logical follow through. They follow the steps but it's never clear what any of the steps actually do or why. It's just gibberish.

I almost hate to give them credit but of all things early Supernatural really did perfect the occult procedural because anytime some little ritualistic niknak was too obscure or esoteric to get ahold of while road tripping across bumblefuck USA they made up reasons more mundane substitutes were acceptable, because they actually attributed some internal logic to those rituals.

There was a one shot manga a while back that had a similar shtick that I really liked; the exorcist monk was kind of a sleezy punk and his sutras were all spoken in a thuggish modern dialect, but the point was that the sutras needed to convey meaning, not just be regurgitated verbatim

And like I said the impulse is to assume this is just Christian blind faith logic applied to storytelling, where nothing makes any sense because you're expected to believe it works because they say it works and question or interrogate absolutely nothing. But again... I don't know that attitude's actually prevalent enough in the audience going into these things to account for why just SO many of these dogshit movies get away with it. Maybe applicable to the writers or directors but even then the audiences should pan this shit.

[renatoferreiradasilva]

\documentclass{article} \usepackage{amsmath, amssymb, amsthm, hyperref} \usepackage{mathtools}

\newtheorem{theorem}{Theorem}[section] \newtheorem{conjecture}[theorem]{Conjecture} \newtheorem{proposition}[theorem]{Proposition} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{corollary}[theorem]{Corollary}

\title{Spectral Models, the Riemann Hypothesis, and Falsifiability: A Critical Approach} \author{Mathematical and Philosophical Research} \date{\today}

\begin{document}

\maketitle

\begin{abstract} This paper explores the relationship between spectral models and the Riemann Hypothesis (RH) under a Popperian falsifiability approach. We analyze self-adjoint differential operators, spectral statistics of the zeta function zeros, and their connection with Random Matrix Theory models. We also discuss the limitations of computational evidence and the need for rigorous proof. \end{abstract}

\section{Introduction} The Riemann Hypothesis (RH) \cite{riemann1859} postulates that all nontrivial zeros of the Riemann zeta function have real part equal to ( 1/2 ). Its validity has profound implications for number theory and the distribution of primes. The connection between RH and spectra of differential operators, suggested by the Hilbert-P\'olya Hypothesis, has motivated various spectral approaches \cite{titchmarsh1986riemann}.

The Popperian methodology emphasizes refutability as a criterion for scientific demarcation \cite{popper2002logic}. We apply this method to the investigation of RH, considering computational evidence and the limitations of existing models.

\section{Spectral Models and Differential Operators}

\begin{theorem}[Real Spectrum of Self-Adjoint Operators] Let ( H ) be a self-adjoint differential operator in a Hilbert space ( \mathcal{H} ). Then, the entire spectrum ( \sigma(H) ) is real. \end{theorem}

\begin{proof} By the Spectral Theorem for unbounded self-adjoint operators: \begin{enumerate} \item The spectrum ( \sigma(H) ) is contained in ( \mathbb{R} ). \item The spectrum can be decomposed into point ( \sigma_p(H) ), continuous ( \sigma_c(H) ), and residual ( \sigma_r(H) ) spectra. \item For self-adjoint operators, ( \sigma_r(H) = \emptyset ). \end{enumerate} For eigenvalues ( \lambda \in \sigma_p(H) ), let ( \psi \in D(H) ) be a normalized eigenvector: [ \lambda = \langle \psi, H\psi \rangle = \overline{\langle H\psi, \psi \rangle} = \overline{\lambda} \implies \lambda \in \mathbb{R}. ] For the continuous spectrum, every ( \lambda \in \sigma_c(H) ) is an accumulation point of approximate values ( \langle \phi, H\phi \rangle ) with ( |\phi|=1 ), which are necessarily real. Therefore, ( \sigma(H) \subset \mathbb{R} ). \end{proof}

\section{Statistics of the Zeta Function Zeros}

\begin{conjecture}[Pair Correlation (Montgomery, 1973)] Let ( \gamma_n ) be the nontrivial zeros of the Riemann zeta function with ( 0 < \Re(\gamma_n) < 1 ), ordered by imaginary part. The normalized pair correlation function satisfies: [ R_2(s) \approx 1 - \left( \frac{\sin(\pi s)}{\pi s} \right)^2, ] coinciding with the statistics of the GUE (Gaussian Unitary Ensemble). \end{conjecture}

\begin{proof}[Numerical Evidence] Odlyzko (1987) computed millions of zeros near ( \gamma_{10^{20}} ), verifying: \begin{itemize} \item The distribution of normalized spacings ( \tilde{S}n = (\gamma{n+1} - \gamma_n)\frac{\log\gamma_n}{2\pi} ) closely matches GUE. \item The discrepancy ( \Delta < 0.01\% ) for two- and three-level correlations. \end{itemize} The conjecture remains open but is consistent with the \textbf{Hilbert-P\'olya Hypothesis}, suggesting the existence of a self-adjoint operator ( H ) with ( \gamma_n ) as eigenvalues. \end{proof}

\section{Falsifiability in Mathematics}

\begin{theorem}[Logic of Refutation] Let ( \mathcal{P}(x) ) be a mathematical proposition with domain ( D ). If there exists ( d \in D ) such that ( \mathcal{P}(d) ) is false, then ( \mathcal{P} ) is not a universal theorem. \end{theorem}

\begin{proof} By definition, a theorem is a statement proven true for all ( x \in D ). Suppose that: [ \exists d \in D \, ( \neg \mathcal{P}(d) ) \implies \neg \forall x \in D \, ( \mathcal{P}(x) ). ] Thus, ( \mathcal{P} ) fails to be universal. In Popperian terms, ( d ) acts as a \textit{falsifying counterexample}. \end{proof}

\section{Conclusion} We have shown that the Riemann Hypothesis is strongly connected to spectral models and random matrix statistics. However, no rigorous proof has yet been established. The Popperian approach suggests that as long as RH continues to resist refutation, its validity should be considered empirically robust, though not yet definitive.

\bibliographystyle{plain} \bibliography{references}

\end{document}

[brownscottish69]

What are the strategies to master Minesweeper?

Minesweeper, a classic puzzle game, has been entertaining and challenging players for decades. With its simple rules and addictive gameplay, Minesweeper has become a beloved pastime for many. However, mastering Minesweeper requires more than just luck. It demands strategic thinking, logical deduction, and precise decision-making. In this blog, we will explore effective strategies to help you conquer Minesweeper and achieve victory, including tips to beat the google minesweeper version.

Understanding the Basics

Before diving into advanced strategies, let's review the basics of Minesweeper. The objective of the game is to clear the minefield without detonating any mines. The game board consists of a grid of squares, some of which contain hidden mines. Players must uncover each square, and numbers displayed on revealed squares indicate the number of adjacent mines. By using these numbers as clues, players can deduce the locations of mines and safely uncover non-mine squares.

Now, let's delve into the strategies

Start with Safe Moves: Begin by making safe moves—clicking on squares that are guaranteed to be safe based on adjacent numbers of mines. Look for squares surrounded by zeros or those with numbers indicating they are surrounded by already revealed safe squares.

Use Probability to Your Advantage: When faced with uncertainty, use probability to assess the likelihood of a square containing a mine. Consider the number of remaining mines and the number of unrevealed squares in the vicinity. By analyzing patterns and probabilities, you can make informed decisions to minimize risks.

Identify Patterns: Minesweeper follows specific patterns that experienced players can exploit. Recognize common patterns such as the "2-2-2" pattern, where three adjacent squares each have a number "2," indicating two mines each. Understanding these patterns can help you make logical deductions and uncover mines efficiently.

Flagging and Chording: Utilize the flagging and chording features effectively. Flagging allows you to mark squares suspected of containing mines, while chording enables you to quickly reveal multiple squares by clicking with both mouse buttons on a number square with the correct number of flagged adjacent mines. Mastering these techniques can significantly speed up your gameplay.

Work from the Outside In: Start by revealing squares on the edges of the minefield, as they provide more information about the surrounding squares. Gradually work your way towards the center, uncovering safe squares and deducing the locations of mines based on revealed numbers.

Avoid Random Guesses: Guessing should be the last resort in Minesweeper. Instead of making random guesses, focus on gathering information from the revealed squares and applying logical reasoning to deduce the safest moves. Random guesses often result in hitting mines and ending the game prematurely.

Practice and Patience: Like any skill, mastering Minesweeper requires practice and patience. Start with smaller grid sizes and gradually increase the difficulty as you improve. Analyze your gameplay, learn from mistakes, and refine your strategies over time.

Now, let's discuss how these strategies can be applied specifically to the Google Minesweeper version:

Google Minesweeper

Google's version of Minesweeper follows the same principles as the classic game but with a sleek interface and additional features. To excel at Google Minesweeper, consider the following:

Leverage Google's Hints: Google Minesweeper offers hints to assist players when they're stuck. Use these hints wisely, especially in challenging situations where logic alone may not suffice. However, rely on hints sparingly to develop your problem-solving skills.

Utilize Customization Options: Google Minesweeper allows players to customize various aspects of the game, including grid size and difficulty level. Experiment with different settings to find the optimal balance between challenge and enjoyment. Adjusting the game parameters can enhance your Minesweeper experience.

Compete with Friends: Google Minesweeper features social integration, enabling players to compete with friends and track each other's progress. Engage in friendly competitions to motivate yourself and challenge others. Sharing strategies and exchanging tips with friends can accelerate your mastery of the game.

Stay Updated: Google may introduce updates and new features to Minesweeper over time. Stay informed about these changes and adapt your strategies accordingly. Embrace new challenges and continue honing your skills to stay ahead of the competition.

Conclusion

Mastering Minesweeper requires a combination of logical thinking, pattern recognition, and strategic planning. By following the strategies outlined in this blog, you can improve your Minesweeper skills and increase your chances of success. Whether you're playing the classic version or tackling google minesweeper, practice, patience, and perseverance are key. So, sharpen your mind, sharpen your mouse-clicking skills, and embark on the journey to conquer Minesweeper—one square at a time.

[empressofdiamonds]

What to do when your friends constantly associate you/ remind you of your past self? Im beginning my level up journey, and my friends keep saying they miss the old me.

*Im inspired by your anon who asked u something similar*

The old me who:

- fucked random men

- got drunk every night and smoked weed everyday

- zero ambitions or goals and lack of morale in life

basically you can form conclusion on how i was

My ex bf and i dated and he really saved me from that, and they have basically blamed him for taking my "youth" away but thats not even what I wanted anyways! Like im gratedul he got me to see the light regardless of our outcome. But theyre convinced that im just some pick me who wants to still please him.

I wanna cut everyone off, but I have done that before and felt so alone and isolated. I just dont know what to do anymore. I feel like im stuck in a cage and I cant grow and be who I truly desire because everyone associated me with being a crazy party girl.

What if I told you fucking around, being drunk everyday, smoking weed excessively, no ambitions... Is actually part of pickmeness?

I perceive pickmeness as not only towards others, it's also towards oneself, it's terrible lack of self-esteem that makes one not do what is best for oneself.

That's low-key insulting that they think the new lifestyle you adopted is all his fault; you dumped him, you still don't wanna date him (aka you're not doing this process for him), you're still keeping the new lifestyle changes after the breakup. Like, the logic's not there! I see that you're actually doing a glow-up process and not some desperate pickme behaviour to gain him back like Friends are saying you are doing.

If you don't want to cut everyone off, how about you keep contact with the most grounded and best girls in that gang, and minimize contact with the worst ones?

Sadly reputations can stay a good while after the changes, but I think that you should keep going at it, the more stronger the change and the more consistent it is, the more likely your reputation is to change. Prove to everyone the Old Self is goddamn dead and buried 6 feet under in an welded iron casket. And with fresh concrete poured on top.

Keep being consistent with the new healthy habits, and make sure all facets of your life are to your new taste.

I may add another point... Sometimes the stuff people say is a reflection of their own thought processes. If someone is unhappy that you're doing the obvious healthy choice, it is because you're indirectly doing them one hell of an ass-whooping. You're indirectly telling them to get their sh*t together because it ain't cute.

Even, sometimes, the good answer is sometimes the most hurtful one. Aka dumping them all if this doesn't gets better. No choice, gotta suffer a little bit to improve. It's a battle in a war.

[high-fructose-porn-syrup]

#reblog#pjo tv crit#im mostly replying to tags here nobody mind me

#re: prev tags - there's a bunch of stuff from TSATS that's also blatantly from tumblr posts lmao#the subway scene is literally almost word for word a tumblr post iirc#in the comments of that one college humor comic i think

#i distinctly remember a thread on it and reading TSATS and going ''thats word-for-word a tumblr post. i know it. i've read that post.''#which makes a lot of sense when you consider how just. absolutely out of place that scene feels with the rest of the book#like the book is a mess but that scene in particular is just. oh they literally just ripped it straight from tumblr. thats why its weird.

#photokinesis Will has obviously been popular fanon since 2015 and same with plague Will#even some TOA stuff is blatantly old fanon or tumblr posts. *especially* solangelo stuff#im surprised they didnt go full 2015 fanon and give him a lasso/whip made of light instead of the weird laser beam thing

#and Piper's cameo in TSATS is just not even subtly a checklist of Rick directly responding to criticism he's gotten about her character#plus that whole scene of Nico basically being outed a second time/''coming out'' to CHB that has the random list of other queer campers#but it's LITERALLY a list. just throwing names out there. like cool. zero effort. and im pretty sure also specifically common fanon ones

#anyways everybody place your bets when is somebody gonna throw an apple to their significant other/crush#fun fact - yknow the skeleton pegasus merch from the Tower of Nero book tour? yeah thats 100% ripped from fanon#thats been a fanon thing for ages before ToN. in fact i have a nearly identical design on redbubble that was up for years prior#and i know for a fact that shirt design was one of the first results for ''chb shirt'' on redbubble for ages#im not saying they ripped it off from me cause i know im not the first person to think of that but it is suspicious

#the weirdest part of it all to me is Rick is clearly like 5-10 years behind on fanon. so every time a fanon/fandom ref is included#it just feels dated and awkward. like yeah nobody has referenced that in ages. but now it's canon but fanon isn't supposed to be canon#it's often super incongruent. such as Will being retconned into TTC for TSATS because?????? fanon. fanon is why.#like he physically cannot be at chb in TTC without ruining an entire chain of stuff. there is no logical way he can exist there.#which is why he doesn't in canon! he's introduced in TLO! he can exist no earlier than BoTL!

#fanon doesnt have to follow canon logic. but that just makes it REALLY bad when it's blatantly canonized with no regard for consistency#which is why i think TSATS feels so much like a 2015 fanfic. cause it's just blatantly all 2015 fanon that isnt congruent with canon at all#anyways sorry for the tag rant thank you for coming to my tedtalk

These were too good to stay in the tags

Fun fact, I recognize most semi major plot point changes in the Percy Jackson series from Tumblr posts 

The Calling Kronos grandpa thing was a Tumblr post way way way way before the show is even talked about releasing

I don’t know why but it feels weird knowing that everyone is praising Rick for something he didn’t do

[lesser-mook]

Now Jiro has LVL 99 Plotarmor CHP 355 (SPOILERS)

"you made my friends cry", ohhh brother, here we go again Jiro.

Always jiro given the worst lines, what’s that about?

 100% contrivance, 100% plotarmor, 300% corny. This is why it's a miracle anyone truly believes any of these villains are a threat anymore. 

 Kohei needs to stop gassing up the bosses power level, if he insists on tying their hands so no LASTING consequence happens to the heroes.

Mind you, again, the power levels are a relevant reason why this makes zero sense.

Why make your villains too powerful, SO powerful that you have to nerf Tomura in the most forced way possible; And then invent a reason why AFO doesn't kill Jiro, one of the more irrelevant side characters.

Why even make them threatening at all if they're not allowed to live up to the hype.

Now all of a sudden All For One is stopped before Jiro's dies,which is the only logical outcome of a C lister punching up to a S Tier threat.

Of course her plot armor goes full throttle now all of a sudden an Inner Mutiny straight out of a Venom or Hulk comic stops AFO from going to work. 

 Garbage, how can there any tension or investment in “who will win” when nothing bad is allowed to happen and STICK without uno reverse cards. 

 Bakugou bites it, now he gets an extra 1up life token from some random extra, how convenient. 

 Wouldn't want the readers to think anyone's in any real danger, cause now we have obscure heroes scattered all over that can do pretty much anything the plot needs them to do. 

 Jiro punching up to this world's equivalent to Darkseid, but NOW his hands are tied thus the most she got was minus one ear lobe- 

Jeanist, Nagant, now Jiro. All survived AFO somehow, SOMEHOW! Mirko (garbage character) somehow survived Nomu, High-End types if i’m not mistaken, how.

All For One is a character that could definitely go 1v1 with the early 40s Fleischer Superman.

 He could BE a legitimate casual Shazam or Superman villain without the nerf bullshit. And that's coming from me. 

 So why tf is All For One consistently made to look inept & incompetent when it comes to killing these nobodies who aren't even WONDERGIRL or BlueBeetle levels of power. All because Horikoshi is afraid to commit and let THE man do what we know he can do. jfc.

Imagine if Carnage killed NOBODY but we're told he's dangerous.....kind of redundant to tell us, if he's not allowed to shed blood so we can see it.

Where are the stakes, if the villain isn’t a threat in reality.

Horikoshi has a consistent commitment problem, he introduces concepts, characters, ideas, plot threads = POTENTIAL, does nothing with it or backtracks.

I don't care about Jiro, but her & Bakugou dying permanently would've set the tone of this war in the best way possible, that anything goes and the stakes actually MATTER. Establishing the villains as a legit threat.

This is why you don't oversell your villains, if you have to fabricate excuses to tie their hands behind their back, then you raised the bar too high.

[comm-caribou]

Bit random but

If all of the 952nd were in a hunger games kinda thing, who would win?

Oooooo! This is a really good random question, and I love random questions! Thank you!!!

After much thought, there is three answers of who would win. But first, how the games would play out.

Death/Suicide mentioned below the cut:

Fang would die first. He’d panic and not know what to do and someone would easily off him.

Stickler being way too smart and knowing he won’t win, nor wanting to help aid others in the games, would get himself killed off immediately on his own terms.

Coyote would be distraught and try to play the games on his own because he wouldn’t know who to trust, and he’d die either by another player or his own fatal error in surviving.

The pilots would form a big ally group—consisting of Tracks, Cosmos, Dabbler, Squirrel, Max, Goose, Frenzy, Tag, Baby, and Radar. They’d come off as unstoppable to other teams/players, but can easily be picked off one by one, and most are very self-sacrificing. If an attack happened, Max, Baby, and Tracks would sacrifice themselves. Once those three are gone, the others will fall apart and Cosmos would ditch the group.

Keks and Cooper are a team, but Keks would sacrifice himself for Cooper. Cooper, being as smart as he is, would know his chances of winning are zero and “quit.”

Similar occurrences would happen in Tunnel squad. They’d find a secluded area to wait out the games with limited blood on their hands, but Hound would get hurt and get sick from his wounds. Mutt would be very distraught and would want to just end the game, then the squad would go out hunting for other players. Digger, Zombie, Calico, and Mutt knowing they won’t win would go out in a blaze of glory.

Mirage and Boomerang would be allied, finding Shadow along the way. Shadow would play friend, but because he is also very cunning he is only using them. Mirage is strong and can lead them to the finals, Boomerang can heal them if hurt. When the time comes, Shadow would stab them both in the back to win, but underestimate how hard it is to take Mirage down and it will be his downfall.

Hardwire would make it very far. He’s logically really smart, but common sense and reading social cues was never his strong point. He’d be like Fox Face from the movie/book, everyone forgets about him until he makes a fatal mistake that costs him his life.

Fury would unintentionally join an alliance with Grimm and Ace. He’s just there to protect them, and doesn’t really care to win. However, as the others fall, Grimm will realize he could win, but has to kill the other two. When Grimm tries to kill Fury—because he’s the biggest competition—Ace would help Fury, but end up getting killed in the crossfire.

Fury is now on his own again.

Juliette is a skilled survivor and can turn anything she gets her hands on into a weapon. She wouldn’t want to kill other than to protect herself, so she’s keeping to herself. However, that need to help is also in her. So, when she stumbles on dead bodies before they’re taken away, she’ll check for goodies. On one occasion, she finds one alive (Cosmos), and he can easily kill her. The thing with Cosmos is, he doesn’t care about killing her because he’s wounded. They’ll form an alliance until he’s better or he dies from his injuries, if he survives, they part ways agreeing the next time they meet will be a fight.

Let’s say there’s challenges like the Hunger Games in here, such as the wolves, bees, and fire balls. Cosmos would not survive, but he made it to the final three.

Now there’s two: Juliette versus Fury.

Case scenario one: they don’t know each other. Juliette would put up a fight and get some good shots in, but Fury would overpower her, exploit all her weaknesses, and kill her. Fury wins.

Case scenario two: Fury knows her and likes her. He knows she’s trying to kill him, but he can’t bring himself to hurt her. He knows who she is and likes her, even has a crush on her. He wouldn’t be able to live with himself if he killed her. So, he puts on a show, pretending he’s fighting only to let her kill him. Juliette wins.

Case scenario three: they both know each other. Fury likes her, Juliette likes him. They’re kind of friends, despite the circumstances of their situation, and neither wants to kill the other. They’ll just end each other together, so there is no winner. Depending on how it works, they’re both winners, or they both die.

Either way, take feelings, weapons, and equipment out of the games: Fury is the victor.

[1five1two]

The likelihood of the spontaneous formation of life from inanimate matter is one to a number with 40,000 zeros after it … It is big enough to bury Darwin and the whole theory of evolution. The beginnings of life were not random; they must have been the product of purposeful intelligence. From my earliest training as a scientist, I was very strongly brainwashed to believe that science cannot be consistent with any kind of deliberate creation. That notion has had to be painfully shed. At the moment, I can’t find any rational argument to knock down the view which argues for conversion to God. We used to have an open mind; now we realize that the only logical answer to life is creation – and not accidental random shuffling.

Chandra Wickramasinghe

[theplatinumcritter]

Imogen had mentioned at least once in passing,that she used to have a horse. A mare named Flora,one that Imogen loved a whole lot. Sadly,Flora didn't take too kindly on Imogen's new… Everything. Ever since Imogen didn't approach horses,or many other animals for that matter.

Ashton could see how Imogen looked at horses,genuine fascination in her eyes whenever she saw them. It wasn't a secret she liked them,in fact Ashton had suspected that horses were the reason she approached town in the first place when they met. They had been hanging around for a few months now,and Ashton felt like doing something nice.

She had been a bit depressed lately,and Ashton had realized he didn't like it,but surely he could cheer her up. Of course it had to be something affordable,he would love to buy her something truly nice but they couldn't afford it,and he could just steal it but he knew Imogen would feel guilty when told how he got it if he did that.

“Why is being nice so fucking hard…” Ashton questioned in a frustrated mumble,Imogen was asleep currently,and Ashton in all honesty didn’t mind losing hours of sleep,he’s done it before. Although it did make those damn headaches worse.

He looked around,there had to be something he could do for sure. And the answer came suddenly,in the form of a drawer that contained pieces of different kinds of cloth and patches,thread and a needle,and some sandbgs. Well… This was lucky. Now all he had to do was figure out how to sew something that wasn’t their clothest.

Part of Ashton couldn’t believe all this was being gone for a girl he met not that long ago,a girl who decided to follow Ashton all on her own with zero prompting. And it had actually been nice so far,in fact he didn’t get why people were so unsettled by her,Imogen was actually really sweet.

Maybe they had yearned for someone else longer than they ever thought.

Or maybe misery loves company,who knows.

The next morning arrived. First thing Imogen did when waking up was look around,noticing Ashton wasn’t where he was supposed to be. Instead he was doing something on the drawer while sitting on a chair. The whole thing made her tilt her head and raise an eyebrow.

“Ashton? Did a nightmare wake you up?” was the first thing she said,her voice a bit drowsy as she got up from the bed to approach,only to notice she had received no answer at all “… Ashton?” she asked again,still very confused.

Ashton meanwhile was too focused,doing his best to wrap something with what seemed to be a random paper and a piece of yarn. They flinched in surprise when Imogen put her hand on his shoulder,making them jump,almost dropping what they were wrapping. The whole interaction had been,mostly,amusing. With the pair ending up looking at each other,Ashton with surprise and Imogen with confusion.

“… Mornin’...” was all Ashton managed to say.

“Mornin’… Uh… What are you doing?” Imogen asked back.

This was followed by a long awkward silence. One that consisted of Ashton looking at what they had wrapped,as if they were thinking deeply if they truly wanted to do this. And in the end “here… For you…” they said,handing it to Imogen. She remained confused but,she did take it.

Of course it didn’t take much for her to comprehend this was,most likely and logically,a gift. Gifts are meant to be unwrapped,so she unwrapped it. Inside that wrapping,was something made out of patches and pieces of cloth all held together by thread,and the chaotic yet pretty pattern all came together in the form of a horse. A ragdoll horse you could call it. Imogen took it,eyes wide as she inspected it.

And her silence only brought anxiety to Ashton “look it’s… Not like the pretty ones you see in stores but we don’t have much right now and I worked with the shit I found in the drawer by pure luck and I learned to sew a plush on the fly so-” quick talk came out of their mouth,quick talk out of nervousness,and quick talk that Ashton felt were nothing but excuses.

And yet “I love it!!” Imogen exclaimed,her eyes sparkling with delight,a big joyful smile on her face,gaze never leaving the plush Ashton made,the gaze of a child full of wonder who received exactly what they wanted for their birthday as a present.

“You… You do?” Ashton was full of surprise at her statement,they knew she wouldn’t be mean or anything like that,but they didn’t exactly expect her to straight up love it that much.

“Of course I do! It’s so cute!” she giggled in response,hugging it close to her face,still full of joy at the gift she was given. She loved it,she truly loved it.

That made Ashton smile and sigh with relief “well,glad you like it…” they chuckled “so,you gonna name it?”

Imogen nodded,clearly still excited “Flora! Her name is Flora!” she exclaimed,smiling. Of course she named it that,of course she did.

Ashton had actually done something correctly for once. Had actually made something instead of breaking it. And Imogen was happy because of it,this… Felt really nice. Yeah,making her feel better felt nice,really nice.

Surely this meant they couldn’t ruin it.

Right?

C3 Swap AU

Imogen Temult

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This post can contain spoilers!

If you wonder what the swap AU is, I recommend checking it out right here!

Major thanks once again for @theplatinumcritter for helping me brainstorm these characters !

Quick note, this one is slightly darker than the others we have so far...

Title: Lady Imogen Temult, Exaltant Hope of the Crimson Twilight

Age : 58 (28 at the time of death)

Class: Sorcerer (Awakened soul, inner aberration)

Campaign 3 E1 - E55

Imogen is a Hollow one Ruidusborn sorcerer. She grew up in Whitestone but was excluded by many due to her being born under one of Ruidus’ flare. When the Briarwoods took over Whitestone, many villagers ostracized her even more, believing she was a bad omen to the city.

She worked at the stable with her father and mother until she received the invitation to attend a wonderful feast at Whitestone castle. She was brutally murdered after and hanged on the Sun tree as the effigy of Keyleth of the Air Ashari.

When she woke up, she had the worst headache of her life caused by the antlers nailed to her temple. She is prone to migraines ever since she was brought back, believing it’s phantom pain from her trauma. She began developing magical abilities since the tragedy and used her telekinetic powers for her own survival. Months later, she began hearing in her head the voice of her murderer, Delilah Briarwood. Believing she’d never be able to fully heal as long as she stays in Tal’Dorei, Imogen left for Marquet, hoping to build a better life of solitude.

She met Ashton in Gelvaan while trying to escape a mob of angry villagers believing her to be an anomaly. She was rescued by Ashton who violently retaliated against the mob, saving her undead life. Both of them began travelling together, hoping to find a way to help one another. They made her a little horse doll filled with sands when she mentioned missing her filly, Flora. She carries it with her ever since.

Imogen used to have a Whitestonian accents back in her youth, but while spending more time in Marquet than Tal’Dorei, she completely changed her ways of speaking. She wears glasses with fake lenses to appear more appealing and hides her scars from the feast with her hair and ear cuffs, since Ashton and her would be travelling to more populated area. She had a difficult time trying to get rid of the red paint used to dye her hair, and many strands were still stained by the time she met with the other members of Bells Hells.

When Otohan Thull tried to awaken Ashton’s abilities, she killed many members of their group, including Imogen. When this happened, Imogen’s soul was trapped by “Delilah” in a memory of Whitestone, clouded inside a red storm. Once “Delilah” was defeated by Bell’s Hells, Imogen could be brought back to her friends, but her soul was never freed of the influence of “her tormentor”. She gained the ability to create a little companion using the Flora plush doll, showing more of her sorcerous abilities. The doll gained consciousness and has a thicker southern accents.

If needed to, Flora can create patchwork wings and use them to fly. If destroyed, Imogen can reacreate the Sand Specter by using scrap pieces of fabric and sand.

When it was discovered she was an Exaltant, and possibly a vessel for Predathos, the entity posing as Delilah dropped the act, revealing itself to be an inner aberration born from her trauma of the Sun tree. She was supposed to be exalted by what she went through, but instead Imogen cast aside her emotion and left it to fester away. With the Soul Anchor, she became more in touch with her Ruidusborn abilities than before and finally let herself accept her aberrant self, accepting who she is.

She is in a relationship with Laudna.

Masquerade ball

When deciding for outfits, Imogen had a hard time to choose for herself. She ended up choosing a dress that reminded her of her first home, with a patch of fur on the overcoat. She tied her hair into a long braid, hoping the familiar hairstyle of her late mother would bring her strength for the mission ahead.

She travelled with Dorian, Fearne and Orym to the ball.

She was introduced as Maud by Dorian.

The Flora doll has a hand made horse coat to fit with Imogen’s outfit, born of the idea it would be nice to see it be matching Imogen at the ball.

Uthodurn - Saviour of the Diarchy

In Uthodurn, her group were recognized as the saviour of the Diarchy and were given the opportunity to change their clothes. She was finally able to get rid of the red stains in her hair. She abandoned the ear cuff to prevent frostbites and wears druidcrafted yellow peonies to hides the scarred ears.

Flora is adorned with a golden bow, fitting with her Mistress.

Vasselheim - Exaltant Hope of the Crimson Twilight

In Vasselheim, Imogen modified her outfit from Uthodurn to be ready for the battle ahead. She ripped many of the frills from the upper layer of the dress and used black dye the create an ombré to the blue of the dress, reminiscent of a storm.

Flora wears a beaded chain to matches Imogen’s bead cage.

Embrace of Havoc

With the Soul Anchor, Imogen felt more secure in herself and the source of her power. Using Embrace of Havoc, her body stretched, her limbs elongating and her skin turning into a deep burgundy colour, with her hands and feet fading into a deep purple. Her lightning scars become more prominent, going from purple at the tips of her limbs to a bright reddish light where the anchor resides. Lightning circles around her body, attacking whoever is near 5ft of her.

This form is different from canon Imogen’s, taking inspiration from the old theory that Ruidians used to be Exandrians before being corrupted by Predathos’ influence. It is a beautiful amalgamation of herself and the aberration she created.

Dinner with the Briarwoods :

When she was invited to Whitestone castle, the Briarwoods made her change into different clothes. She didn’t comment on it at the time, believing it was part of a dress code she was unaware of.

It’s only after the dinner that she realizes what were the Briarwoods’ intentions for her and the other guests. Unfortunately for her, she had not awakened her power and couldn’t do anything to change her fate.

Relationships

Ashton Greymoore : Ashton was the first person Imogen met who had no animosity towards her for simply existing. When she told him what happened, they made sure they would be here for her. They made a doll out of scrap fabric and sandbags for Imogen when she missed Flora and share their pain with her. They are like family to Imogen. When they were separated by the Malleus Key, Imogen was worried sick for them.

Laudna : Imogen’s girlfriend. Laudna believed they had met before which was what drew her in and both women quickly became friends. Imogen was baffled by Jiana Hexum’s treatment of Laudna. She promised her that they’ll find a way out of her debt with the elf. Couple of days after their reunion in Marquet, Bell’s Hells had to help Imahara Joe in Bassuras, which ended with Laudna going to the All-Mind’s-Burn palace seeking help to assist the attack on the Malleus Key with Imogen. She commented she believed Laudna could have lived in the All-Mind’s Burn palace if it were cleaner, since it “matched her vibes” and even compared her to a noblewoman. Laudna half-joked and half-confessed to Imogen that a noblewoman would need a partner to rule, and Imogen seems to suits that role. She agreed and later asked if she could kiss Laudna. She agreed and are dating since.

Matilda Bradbury : Matilda consider Imogen to be a very capable young woman and is amaze by her tenacity after everything that happened. Imogen vaguely remembers her from the feast and mourns the fact they never had a chance of becoming friends when they were alive. She lets the two girlfriends alone when needed to, opting to let them enjoy some privacy.

Fearne Calloway : Imogen wondered if Fearne’s horns have ever given her headaches in the past. At Fearne’s confusions, Imogen explained what happened to her and showed her the scars on her temples. Fearne was the first member of Bell’s Hells after Ashton to know what happened to her in Whitestone, second being Laudna and eventually the rest of the group. Fearne is also the one helping Imogen recenter herself while letting her power flows, thus calling Fearne Professor Calloway. She is the one to style Imogen’s hair into a milkmaid braid during their time in Uthodurn.

Lilianna Temult : while travelling alone in the first months of her rebirth, Imogen struggled to keep it together. What would help her the most were constant reminders her mother would tell her, like “Keep going, Imogen”. At the masquerade, Imogen wore her hair into a long braid hoping to channel some strength from her mother to face many people inside the ball. She hoped to see her mother again after waking up from the Sun tree, but having found no trace of her parents in Whitestone after the tragedy made her wonders if they were also killed or simple fled the city.

Bell’s Hells : Imogen loves this group of rascals. She feels like she owes them all for helping her get rid of “Delilah”. She often wondered if the reason she was still alive after the Briarwoods was to help them achieve their goals to save Exandria and stop Ludinus Da’leth.

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And that’s it for Imogen! But you might be wondering, If we mixed up the years and made Imogen older than she would be in canon (being Keyleth’s effigy on the Sun tree) is Liliana still alive and working with Ludinus, or did we pick somebody else..? I guess we’ll have to wait and see!

Know that the subclass used for Imogen is based of a preexisting homebrew named Awakened sorcerers, inner demon. For the sake of this AU though, we debated a lot of Delilah should be real or a figment of Imogen’s trauma. By the time I’m writing this paragraph, I had my answer by making it the repressed Exaltant power, taking shape into an aberration of self loathing and identity crisis. The Embrace of Havoc form also didn’t had clothes at first. It was supposed to be ephemeral like how the Everlight is portrayed in TLOVM, but I feared of being flagged so…. Fancy robe it it!

Flora is our version of Pâté De Rolo. With Imogen being less fun scary and more “hiding in the crowd” type, Flora wouldn’t be fleshy. With the ties to Ruidus, storms and dreams, I took a more creative approach and created the Sand Specter. (Because sandman mythology - Ruidus dreaming of Exandrian - Ruidusborn are the children of the One who Sleeps, etc)

Also the part about All-Minds-Burn palace is actually a short story I have written when E70 came out! It definitely needs to be reworked though and mayyyyyybe I’ll share it vjgcjhfx

Next character will be Dorian, who should be done by next week, but don’t quote me on that