Forbidden Graph Characterization Puns

Let X,Y be normed spaces and T: D(T) -> Y be a linear operator where the subspace D(T) in X denotes the domain of T.

Then the graph of T is given by

[; G(T) = {(x,Tx) | x \in D(T)} \subset X \times Y. ;]

Now I want to proof that if [; (0,y) \in U \Rightarrow y=0 ;]for a subspace U of [; X \times Y ;] then U is a graph of a linear operator, i.e. there exists an linear operator T: D(T) -> Y such that U = G(T).

Could someone explain me why this is true? I am especially interested in how this T can be constructed by such few information. Thank you in advance.

This is the best video I could find that shows the pacing I'm talking about. No cheese strats and it lasts long enough for many of the voice lines to come up. I urge everyone to listen to Escharum's combat dialogue. The voice actor did an amazing job.

The music ramps up during the final phase, and Escharum clearly becomes more desperate, busting out gems such as:

"My greatest battle... My last battle..." https://youtu.be/83C9VRZ3FBg?t=522

Although to be fair they did kind of drop the ball with the Echo 216 'me monke shield, u kill your friend now' mechanic portion of the fight, that seemed a little out of place given Escharum went to insane lengths to set up this 1v1. Still, the rest was pretty damn good.

The song used during the final phase is titled "Escharum", and is different from the rest of the fight: https://youtu.be/Aw9Z_xPKmtY?t=158

Can’t be the only one who remembers the old Iron Man comics where Tony is an actually great boss and employer, who gives ex-convicts a chance at his company and then immediately risks his life for them, who had his little moments of snark but not every second sentence was a pop-culture reference, and who was a genuinely good man with a good standing in the superhero community.

The more I catch up on comics from the last decade, the more I realize how drastically his character has changed. He has always been one of my favorite heroes, but there are times when I can’t stand him even in his own comic runs, not even speaking of his appearances in other titles (some of them are a borderline villainous charicature of him).

Edit: For those of you saying he shouldn’t be portrayed as/called a hero anymore, what should happen with his character? Permanently killed off? Or should Tony stop trying altogether and stop funding/inventing?

Disclaimer: I’m aware that everyone has a right to portray, that’s what I love about reading fanfics. But that doesn’t always mean everyone has to like everything.

• Lily probably was not as “nice” as she is portrayed in fics . In her time where she went to school with the likes of Mulciber she was probably very ruthless, competitive and vindictive.

• From the very little we know of Regulus, I think he was worse than Draco, the only difference is that draco was very outspoken, while regulus was probably more silent.

• I don’t really like Atyd

• I feel like female authors who portray Lavender, Ginny, Parvati as wh*res probably suffer from internalized misogyny.

• this fandom has a major anti black racism problem, and it shows in the portrayal of the black characters in fanfics , such as Dean, Angelina, Blaise etc. From comments I’ve seen on other social media sites.

I've been thinking about this for a while and reading a lot of people's opinions on the Tau and their lore. What I've come to understand is that there are two main parties; those who believe the Tau should remain optimistic and accepting as a contrast to the imperium and those who believe they should be equally as grimdark as the rest of the universe. Notably, there are very few people on either side that are satisfied with Tau lore as it stands. And I think the problem lies in the portrayal of the Tau and its leadership. The reason people can root for the imperium, despite their cruel ideologies, despite their genocidal tendencies, and despite the terrible quality of life, is because it is led by strong, interesting characters. Characters with complex personalities, that the reader can relate to or enjoy reading about. There are upstanding characters, characters wracked by guilt, characters that try to do good despite the conditions of the universe in which they live and the empire they serve. Characters that behave like real people in the grim world.

The Tau don't have these characters. With the exception of Farsight, who is not even a member of the Tau empire, there is extraordinarily little in the way of complex characters. Take the leaders of the Tau empire for example. The ones who make all of the decisions, who hold all of the power, who inspire and motivative every Tau. There is no literature written from the perspective of the ethereals, nothing that shows what they feel about the greater good and the way to achieve it. Instead, ethereals are relegated to comically evil figures that act irrationally cruel for no reason other than to appease the grimdark sentiments of the average 40k fan. And don't get me wrong, I'm okay with the ethereals being grim, but I want to know what is going through their head, what motivates them. I want to know why they pursue the greater good, why they are willing to make sacrifices. But there is no such literature. The Ethereals aren't allowed to be characters the reader could relate to or even like. And the problem runs deeper than that. Due to the nature of tau lore, just about everyone other than Farsight is subservient to the Ethereals and their will. And since the Ethereals lack any characterization and are generally evil, every character needs to be written as either a completely bland servant to the ethereals and their ideology or one who is actively resisting the empire. And that is why people are unhappy.

I speak, of course, of Hydaelyn. Venat.

I just can't get over how they made this distant, mysterious deity a person, and a person who you could believe would be worthy of becoming a deity.

Moreover, this whole time, ever since we first learned about the sundering back in Heavensward and that Hydaelyn herself was the one who did it, I, and I think most people, assumed it was unavoidable, if not actually unintentional. A tragic bit of collateral damage resulting from the grievous blow she had to strike against Zodiark in order to defeat him.

But the revelation that the sundering was not just the only way to defeat Zodiark, but purposefully done to allow mankind the capability to overcome the Final Days just continues to blow my mind. It was not collateral damage in a fight between two gods, it was fully a choice Hydaelyn made to spare mankind from the temptations she knew woefully ended many civilizations before and give the people of Etheirys a fighting chance, however slim.

When it was believed to be collateral damage, possibly accidental, many people thought Hydaelyn was evil, or at least aloof to the suffering she inflicted on mankind (and therefore evil). The fact that the knowledge that she did it entirely on purpose actually redeems her in the eyes of many who suspected her before is proof of how frickin' good the writing was. Hats. Off.

Anyway, I'm about to go on vacation for Christmas and won't be able to play for a week, so I just had to vomit my last bit of praise for this amazing game before I took this break. Happy Holidays!

(This reads like venting but I wanna hear your thoughts here)

This one bothers me a lot.

I see this problem a lot where characters just... don’t act like themselves for the sake of shipping?

I’m not big on shipping in general but there are things like

Pet names, for one extreme example. If it’s not a thing for the characters, those instantly make me stop reading.

But also say you have a character that’s not very good with people or their emotions, and they’re shown eloquently rushing to comfort the other one in distress, instantly knowing what to do.

There are probably more examples but that’s off the top of my head so

Any thoughts ig?

I may be alone on this, but I am disappointed that the crew decided to take Boba in such a soft direction. I like the idea of him redeeming himself, but he just seems so soft and hesitant to take action. He constantly gets his ass kicked, making it hard to believe he’s the same vicious bounty hunter we all know. Hopefully this will change.

So I've been forcing myself to rewatch Fate: The Winx Saga because I have nothing better to do and re-realized that none of these characters are the same as the original. Stella is written like a generic mean girl; Flora, sorry , Terra is written like a generic nice girl; Aisha and Musa have been turned into uninteresting versions of themselves; and finnaly, Bloom is the only one to that can even be looked at as the same as her original self but she's also what critics accused Bloom of being when Winx first came out, super selfish.

That's when it hit me: the Fate club are not the same as the Winx club... literally. The writers of Fate seem to think the characters are similar, and the characters are vaugly similar to each other, but they are not the same person. They are the same character archetype

Fate Stella and Winx Stella are both the token rich girl, but they are fundamentally not the same character because their backstories and personalities are different. But they are the same character archetype of the rich girl. In that way, Fate Stella is as similar to Winx Stella as Weiss Schnee is similar to the both of them.

Fate Club isn't the only adaptation that uses this trick. Remember the CW Girls? Or, more accurately, the leaked CW script reboot of the Power puff girls? They do this exact same thing of changing characters as long as they fit inside their archetype. That's why Bubbles (girly one) is now a slut, that's why Blossom (smart one) has OCD in the CW version AND the 2016 reboot, and that's why Buttercup (tomboy) is now a token lesbian and Black! (well, that and casual misogynior combined with casual homophobia, but you get the terrible idea)

TLDR; the characters in Adaptations are not the same person as the original, they are the same character archetype.

Cannon divergences are preferred here over alt powers and crossovers.

Between the latest episode of Ty & That Guy (https://tyandthatguy.com) and the recent Rolling Stone interview, it is so surprising and refreshing to see a show where the creators and actors are so invested and just get it right on so many levels. It’s profoundly cathartic in a landscape of half-efforts and streamcorp-funded tossed-away efforts.

I’m really interested to hear which fics have your favorite Draco characterization and why! What about that Draco makes him your favorite?

I think this is separate question from what your favorite fic is - they won’t necessarily be the same though it could be.

For me, I just love the Draco in Every Day A Little Death by LovesBitca, and Love and Other Historical Accidents by pacificrimbaud.

In Little Death, Draco was just so open and earnest and eager with Hermione. The basic plot is that he tries his damnedest to help her achieve an orgasm (not as crack fic-y as the basic plot line suggests). But his “roll up his sleeves, focused determination, put all his energy into helping Hermione” attitude is so endearing. He’s not snarky or egotistical. He’s not super sarcastic either. He’s not overly confident but he’s just willing to try a bunch of things. He’s just so sweet but not in a soft fluffy way. More like a “bless your heart” kind of way. Now, I love this fic but I wouldn’t say it’s in my Top 5 (though I still rate it a 5/5). So it’s funny that I just love this Draco so much.

On the other hand, Historical Accidents is a more recently completed fic but I would say it IS in my Top 5. And unsurprisingly, I adore this Draco. The Draco in this story is much more confident (but not in a smarmy, cock of the block, egotistical way), he’s witty, sarcastic, funny. He’s not particularly soft and vulnerable, though he has his moments. But he strikes up some good friendships with OCs in this fic and those friendships truly let his personality shine. I love when we get to see a laid back, not self-conscious Draco “let his hair down” and be himself, enjoying life and relaxing. Making jokes, caring about other people in platonic ways. If I met a guy in real life like this Draco, I’d be in some real trouble.

Conversely, one of my all time favorite fics is Remain Nameless. And I do like the Draco in this fic—his characterization is partly why I love the fic as much as I do. HOWEVER, I wouldn’t say that the RN Draco is my own personal favorite Draco. He’s very self conscious, anxious, moody, sometimes angsty, constantly second guessing himself and Hermione, not exactly confident for most of the fic, and while I do love a broken and hurt Draco (pulls on my heartstrings in all the right ways), I prefer a light hearted Draco more. Hence the two fics I listed above.

What about you guys??

MM's Insta page linked this: https://www.mcsweeneys.net/articles/what-your-favorite-sad-dad-band-says-about-you

Recently I have been playing Fire Emblem Warriors again and I started thinking about the way Tharja is written in this game, so I wanted to write a bit about it. (Somehow it ended up being much more text than I initially intended.)

Now, I don't know if anyone else thinks this, but to me there is a noticeable difference between Tharja's behavior in Warriors and her behavior in Awakening. Specifically, I feel like Tharja in Warriors is a lot nicer than she was in Awakening. Let me get into more detail...

Establishing the Difference

First of all I should probably explain what I mean by “Warriors!Tharja is nicer”. Now let's go through some aspects in which the two versions of Tharja are different. A good example is her stance on the subject of friendship. This is a moment from Tharja's support-conversation with Stahl.

>Stahl: Look, you always seem to be sitting off on your own without any friends. I thought you might be lonely. That's all.

>Tharja: If I wanted friends, I would conjure them forth from the black abyss!

She tries to make it clear that she isn't interested in forming friendly relationships with other people and while while I do think that Tharja is not completely honest with herself here, we can still see that she initially rejects the idea of socializing with others. This stands in stark contrast with some of her support-conversations in Warriors. This is from her support-conversation with Hinoka:

>Tharja: Yes—let's go with that... Let's agree that we're normal for us and just... I don't know, be friends?

Here is another example from her support with Linde:

>Linde: Of course. You're welcome to it anytime, Tharja! I'll be happy to show it to you.

>Tharja: Thank you, Linde. I have a feeling you and I are going to be very good friends...

In both of these cases it is Tharja herself, who brings up the subject of friendship. With Hinoka she is even actively pursuing friendship, by asking Hinoka to be friends with her.

Now I'm not trying to say that Awakening!Tharja didn't want to form connections with others at all, because (like I said earlier) I do feel like that at least a part of her liked interacting with other people. She eventually gives in to Stahl's attempts to befriend her, saying that it wouldn't be so bad.

So, it is less that Tharja doesn't want friends and more that Tharja doesn't want to allow herself to have friends. It is up to the other characters in Awakening to make an effort to break the ice and r

Pantheon, the Aspect of War, also known as The Warrior, was the celestial embodiment of the concept of war.

https://preview.redd.it/h0fu5fpxoba81.jpg?width=1500&format=pjpg&auto=webp&s=c4667dcf8f8169968f0b2f69d9b722a716f265e5

He plays a pivotal role in the story of Atreus, who was deemed unworthy, resulting in the young Rakkor becoming possessed by the Aspect. This was the initial introduction of the Aspect of War to Pantheon’s lore via the 2016 lore retcon.

However, you'd be surprised at how underdeveloped his character remains as of writing this post.

The 2016 lore retcon did an amazing job of establishing the character of Atreus as we know him today. However, while the bio focused on Atreus’ story, it abruptly ended with his possession by the Aspect of War, a character we knew nothing about.
This version of Pantheon would remain the champion for the next three years.

Although the old bio was released alongside Panth’s color story Spear of Targon, which depicts Atreus under the Aspect’s possession, and Aurelion Sol’s color story Twin Dawns which included a previous host to the Aspect of War that commanded the Star Forger, we wouldn’t learn of the Aspect’s intentions behind possessing Atreus until Pantheon’s rework in 2019.Where the bio reveals that the Aspect of War sought out the Darkin as they were becoming an active threat to Runeterra.

From Pantheon's bio:

>Cast into the furthest corners of his own mind, Atreus endured only vague visions as the Aspect scoured the world for Darkin, living weapons created in a bygone age.

As an Aspect, Pantheon’s lack of lore was not peculiar, the Celestial Realm remains an unexplored facet of Runeterra’s worldbuilding. Partially due the intentional decision to focus the narrative on Runeterra, therefore the goings-on of the Aspects and Targon Prime are typically not an immediate concern within the lore.

However, within recent years we have received lore for Celestial characters, that without delving into unnecessary worldbuilding, establish their characters and their function on Runeterra in Bard and Soraka. Two of, in my opinion, the best bios out of all the Targon and celestial related champions.
So, I believe that the same level of characterization could be achieved for the Aspect of War without need for in depth worldbuilding of the celestial realm.

During his time as the Aspect of War the only lore that Pantheon received was in relation to the Darkin retcon, where Aatrox’s bio men

I'm gonna be honest- I don't particularly care about the Timeless Child- honestly I'm not a big enough nerd to get bothered about it. And I am merely disappointed, and not angry, about the lackluster dialogue, characterization.

What does make me actually angry and resentful is the awful r/menwritingwomen type stuff. For what it's worth I don't think it stems from any malice and I don't think it's intentional sexism at all- I do think it's subconscious and just incompetence, or perhaps just a fundamentally different vision of who the Doctor is. But that doesn't change the fact that the first woman Doctor has been written to be far more passive, far less competent and with far less agency than all of her predecessors, especially in NewWho.

The 13th Doctor isn't treated the same way as her predecessors. The previous Doctors were allowed to be demigods hulking over the plot- they had boatloads of agency, they were allowed to have the spotlight, they were allowed to actually be competent.

13 on the other hand is far too passive. Her agency is often removed. Side characters are allowed to usurp her spotlight (usually men). Some examples:

Revolution of the Daleks: The Doctor is imprisoned by Judoon. How does she escape? Well, she doesn't. She sits around apparently doing nothing for (going by the markings on the wall) decades until she's rescued by a man. There is no indication that she even tried anything. No, The Doctor was reduced to a damsel in distress waiting to be saved by a man (Jack Harkness). Hell, even during the rescue she entirely follows his lead, and they even have Jack do the 'hand grab + run' thing- that's the Doctor's thing! This whole sequence robs the Doctor of any agency or competency. Compare this to 12's imprisonment in Heaven Sent.

(Not)Trump's lack of punishment by the Doctor- To keep this post brief I will link Giga Who's quick rant about this. A snippet: " Why tease us with the Doctor’s anger, the suggestion that she wants to actually do something about Robertson this time, only to instantly drop it all in a manner that accentuates her inaction?" TL;DR: She utterly fails to take Robertson to task for his shittiness with the Daleks or the spiders. Compare that to 10 destroying Harriet Jones' government- was that a good thing to do? Maybe not, but it showed agency on 10's part, compared to 13's usual impotent inact

Decided to be a little positive about DL despite me disagreeing with Konami's current direction with the game.
I'm not the biggest fan of GX but I think Jaden is the best part of that series in dub and sub so it makes me happy to see that his voice lines and general writing reflects that even if the dub never got Season 4.
His character portrait is sooo good too. It's even close to rivaling the absolutely fuckin amazing DSOD character portraits.

My fav interaction from him is with Alexis. Gratitude is an understated character trait I think in media in general and I love that he respects Alexis' character and as a duelist. Duel Start: "Alexis, it's been a while since we've Dueled like this."

Lose: "I never would've gotten this far without ya. I'm so glad we got to know each other, Alexis!"

Win: "There's something I want to tell you...Thanks for a sweet Duel! Now and forever!"

Man, I love Yu-Gi-Oh. Shout-out to his Crowler, Chazz, and Syrus interactions too!

Spoilers for whole game including trespasser ahead and probably in comments- beware!

Hey all :)

I’ve been playing through inquisition and noticed some inconsistencies with Solas’ identification with elves. For example, during the scene post-haven and pre-Skyhold, he says something like “the humans have not raised one of our people so high for ages,” whereas post-winter palace he doesn’t identify as a (modern) elf at all, and then also says he just sees himself as himself and not part of some broader group which also doesn’t make sense to me given his history and party banters where he seems very group/society focused rather than individual focused. Is there a reason for this inconsistency or do you think it’s an oversight in that one winter palace conversation? It’s also weird that right after that comment he says in one way or another either that they (the inquisitor or others) see him or Briala as just “another pair of ears” showing again some connection to broader elfhood beyond the ancient/modern dichotomy. Finally, In the epilogue, it seems like modern elves are also flocking to his cause, and in Tevinter nights he hints to charter that elves might like his world better again showing a commitment to modern elves as a part of the greater elven community and as a part of his community that he is trying to serve/save. I’m just confused about him lmao that comment didn’t make sense to me at all other than to hint at his hidden backstory. As far as actual characterization, I feel like I must be missing something Bc I can’t fit it within my conception of his character. Anyway, your thoughts and help would be very much appreciated!

In terms of skill and combat experience.

Especially Eula, you get the feel and sense that she really is a "captain" of the knights. Taking initiative on decisions, making sure everyone is alright and knows which people needs more or less attention, tougher than everyone else (except the traveler and Albedo). During the battle with the whoperflower we see her recover very fast and is able to trade blows after the initial assault which says a lot about how experienced and skilled she is. We don't get to see that anime trope where other characters just stare wide-eyed while the MC do everything which is nice.

Amber and Bennett too, they are not on Eula's level of experience but they show they can take care of themselves. As soon as they noticed the battle going on they carefully positioned themselves where they can take opportunity to join in the fray. You can't carelessly dive in a melee because you might hit your ally or body block your ally and cause them to get cut down. In Amber's case she can't just shoot carelessly cause she might hit Eula or Traveler due to the erratic melee.

Most if not all of us, believe at some point Joker will be in this trilogy. How will he be characterized? Ridder is being modeled after Zodiac/ Jigsaw, so obliviously Joker is going to have to upped in terms how he is portrayed. Reeves won't likely repeat the serial killer plot for Joker so that leaves two options:

1. Terrorist- Similar to Ledger

2. Gangster- Similar to Nicolson and Leto

What are your thoughts?

Did the show really have Lan say “I had nothing to live for before you” or something like that, to Moiraine in the most recent episode? This makes absolutely no sense given his backstory as last king of the Malkier. I’m no expert but it really seems like production decided to yeet new spring out of the window. What do you think?

So, for those of you who have completed the Side Stories in Plus, what was your opinion on Monika's characterization / portrayal / character continuity in the Side Stories in comparison to her portrayal in base game?

I've seen conflicting opinions. Some people love it, saying that it's on point. However, I've spoken to other players, and their opinion was pretty negative, to say the least. According to them, the way she was written in the Side Stories doesn't match her portrayal in base game, almost as if someone else other than Dan wrote her.

So, I thought I'd ask the Monika fans myself to see what they have to say.

Feel free to post your thoughts in the comments.

View Poll

I should have seen all the warning sines that this would happen.

Are there any characterization or dialogue changes you would give to characters?

Mine:

• Cream's formality should be emphasized by the way she addresses others. She's the only one who calls Tails "Miles" and she refers to Amy as "Ms. Rose". Characters without surnames are addressed in ways such as "Mr. Sonic" or "Ms. Rouge".
• Shadow, Rogue, and Sonic are returned to their pre-Colors personalities.
• I think Eggman was at his best in Adventure 2. I would like the games to delve into his relationship with his family and his appreciation of his grandfather. A large part of Eggman's villainy stems from the way Robotnik's were treated in the past.
• Tails should be more akin to his Adventure personality. I feel that the switch to 3D has been harsh to Tails. He's missed out on a lot of his cuteness from the classic games, like how he gets tired in his sprites or how he has a childish energy to his animations. I'd make him more like a kid, but also showcase that he's a kid genius. Also, bring back his love of mints.
• Amy should realize she has magical powers, but in a different way from Blaze's Silver's psychic powers. She's more of a seer who has prophetic dreams and can use tarot cards.
• Return Knuckles to his Adventure personality.