#trig examples

[er-cryptid]

Applying Rolle's Theorem with Trigonometry [Ex. 1]

Patreon

[siph-by-induction]

DO YOU ALL WANNA SEE MY PROOF THAT REFLECTION AND STRETCHES ARE COMMUTATIVE CAUSE I PROVED IT ALGEBRAICALLY AND IT WAS SO FUN

if this gets a note i share my little proof :3 it's very short and uncomplicated i promise

[a-queer-query]

Guys. Guys. Guys.

I'm losing my "good at math gay" card 😔

[gravyburner]

Some jerkwad government lady called at 5 am this morning, robbing me of 1:30 hours of sleep because I already had to get up at 6:30 >:(

I hope my FBI agent reads this post and gets her fired >:(

[bethanythebogwitch]

Welcome to a topsy-turvy Wet Beast Wednesday where I'm discussing one of my favorite cnidarians, the upside-down jellyfish. These are 8 species of jellyfish in the genus Cassiopea, which is the only member of the family Cassiopeidae. What makes these jellies notable is the fact that they spend most of their time lying upside-down on the seafloor.

(image: an upside-down jellyfish swimming. It has a light brown and white striped bell and multiple tentacles that are tuck and white. The tentacles branch and are lined with feathery, light brown structures)

While the majority of jellyfish are predators who drift through the water at the mercy of the currents, upside-down jellyfish have essentially become farmers. Their eight branched oral arms that contain symbiotic algae called zooxanthellae. These algae are photosynthetic and live in a mutualistic relationship with the jellyfish. The jellyfish gets food from the zooxanthellae and they get protection from predators and a place to live. Upside-down jellyfish can survive entirely on the nutrients produced by the zooxanthellae, but they will still feed on zooplankton and other small prey. Upside-down jellies are not the only jellyfish to utilize zooxanthellae, many other species also survive primarily on their symbiotic algae, but they are the only ones to have adapted the benthic lifestyle. They can reach a bell diameter of up to 25 cm (10 inches), or as one source for this stated: about the size of a pie pan.

(image: multiple upside-down jellyfish lying on sand. They are ov various sizes and mostly light brown, but have thicker, green tentacles sticking op)

Upside-down jellyfish are found in warm coastal waters in Florida and the Caribbean and in Micronesia, Melanesia, and parts of Polynesia. They require shallow waters to allow enough light to reach their zooxanthellae and are usually found on shady or muddy bottoms. They are highly associated with mangroves and may play an important role in the mangrove habitats by mixing the water to recirculate oxygen and nutrients. They are rarely found alone, instead congregating in large groups that can cover portions of the seafloor. They attach by using their bells as suction cups and rhythmically pulse using the edges of the bell. This pulsing forces water over the gills and can force zooplankton into the stinging cells to become food. Stung prey will fall on the oral tentacles, where it is broken down into fragments that are then intaken through the numerous tiny oral openings on the tentacles. Interestingly, some species have cycles of reduced movement, which is believed to be the first known example of sleep in an animal without a central nervous system. While upside-down jellies can swim, they will usually only do so to escape predators or if their environment becomes unsuitable.

(image: an upside-down jellyfish swimming. The majority of its body is light brown, but it has many tentacles that are dark blue and outlined in white)

While a very neat thing to see underwater, many snorkelers avoid upside-down jellyfish due to a phenomenon called stinging water. This is when people will receive the symptoms of a sting by the jellyfish without actually touching it. While the cause of this was a mystery for a long time, it was solved when a 2020 paper was published in Communications Biology by Ames et al. The scientists discovered that upside-down jellies release clumps of mucus into the water. This mucus is filled with zooxanthellae and stinging cells and many of these clumps also have ciliated cells that allow for limited swimming. These clumps, named cassiosomes, are the source of the stinging water. The paper, titled "cassiosomes are stinging-cell structures in the mucus of the upside-down jellyfish Cassiopea xamachana" speculated that the cassiosomes are used for defense and feeding. The cassiosomes could be released to sting a potential predator from a distance, discouraging it from approaching the jellyfish. Presumably snorkelers trigger this defense when they swim over the jellies, resulting in stinging water. They could also be used to catch prey as zooplankton killed by the stinging cells would have a high likelihood of falling onto the jelly that released them. Because the cassiosomes have zooanthellae in them, they could survive for likely up to several days after release.

(image: a microscope image of three cassiosomes. They are irregularly-shaped blobs somewhat similar to popcorn. They are a dark color with grey outlines. Spots of green algae and white stinging cells dot their surface)

Upside-down jellyfish are threatened by habitat loss as many mangrove forests are torn down for development. They are also threatened by pollution. They are not considered dangerous to humans. The sting of an upside-down jellyfish can result in mild to severe rashes and itching, but is not lethal.

(gif: a lone, light brown upside-down jellyfish on black sediment. The edge of its flat, circular bell regularly pulse upward to move air over its gills and tentacles. This one's pulsing has slowed, which is speculated to be the result of it going through its sleep cycle)

[anicebowlofoatmeal]

One of the things I love about the Dark Tower is the way the language of Mid-World is done. It’s a language that shares much with ours, but it has such a distinct feel to it; for example, if you’re clever, you’re mighty trig. If you want to know if someone understands you say “ya ken” or “ya kennit”, and don’t even get me started on the regional stuff. No matter what your opinion on King is, he’s has a way with language, and he knows how to make a world believable.

[ultimateswag]

𝚂𝚝𝚎𝚟𝚎𝚗 𝙼𝚎𝚎𝚔𝚜- Study Sesh

Paring : Steven Meeks x fem reader

TW : (brief) mentions of biblical studies and Pythagorean Identities.

[this is my first imagines by the way, so please excuse any mistake or poor writing (I tried to not mention any racial aspects, but lmk what I can improve)]

Latin was always a subject you mastered. It got much easier once you began to assimilate Latin with French, which, by the way, you were also pretty good at. One was a dead language, not spoken nowadays, but really useful when doing biblical studies, and then the other was the language of romance, the one people thought of when asked to say the most romantic and sexy language there is.

Though, besides languages and the occasional English, you weren’t really exceptional in any other subject, especially Trigonometry. It's not like you were failing, not at all actually, but you simply couldn't excel it like, by example, literature. That's why you’re pushing yourself to the edge, so you can get better at the calculus assimilated subjects, and that's why you asked Steven Meeks for help.

The two of you have always been friends, talking to each other in the corridors, of course being together in study groups, and also being a part of the same secret society. But apart from those friendly interactions, you didn't stand out as actually being friends, so much so, that few people actually believed that you even knew who Steven was. Being the only girl at Welton preparatory school due to your high intellectual level ( and family history) made you quite popular, so why would you, willingly, hang out with Steven Meeks? That's what they all thought, though, no one dared to say it out loud.

"I still don't understand this." You said, a loud sigh leaving your mouth quickly after as you stared at the problem filled paper in front of you.

Steven let out a small low chuckle, though it was clear he didn't mean it in an offensive way. "This is actually simpler than it looks" he begins, moving the paper a bit closer to him, and scooting lightly closer to you. "Once you understand the concept, it'll all make sense." And to that, you nods, gaze switching from the paper to his face, admiring his soft freckles, beautiful eyes and- and how he begins to explain Pythagorean Identities.

"Alright. So. Pythagorean identities. The most important one is kind of like the golden rule of trig: sin?0 + cos 0 = 1. That's the foundation, everything else branches from this." He explains.

You leaned in, the scent of your sweet raspberry perfume just barely brushing the air between them. "But why does that even work?"

Steven looked at you not just any glance, but the kind of look that says I see you struggling, and I want to help you out of it. "Because it comes from the Pythagorean Theorem." He says, but swing the confusion linger on your face, he grabs a piece of blank paper and a pencil and begins to draw." Picture this: a right triangle inside the unit circle. The hypotenuse is 1. The x-value is cose, the y-value is sine. So when you square both and add them up... it just always equals 1."

You blinked, eyes narrowing slightly in concentration as they switch from the homework, to Steven's drawing. "So it's not just a random formula-they actually mean something."

He nodded, a little too pleased you were catching on. "Exactly. And the other two identities are built off this one. Like, if you divide everything by cos?0, you get: 1 + tan?0 = sec?0. And if you divide by sin'® instead, it becomes: cot?0 + 1 = cscª0. It's like a family of truths that are all connected."

You bit your lip, scribbling it down, then looked sideways at him. "Do you always talk about math like it's poetry?" You ask with a small smile. Steven, just like you, has always taken a special liking to poetry, and just like everyone else, after just a few classes with Mr. Keating, it became a bigger, more important part of his life, so of course it was no surprise to see him romanticizing trigonometry.

Steven smiled, a faint flush rising in his cheeks. "It makes it easier to understand, does it not?" he tilts his head lightly at you, seeing as you wrote the problem's answer down on the paper, with your perfect calligraphy, while your beautiful, hair fell next to you. Your eyes seemed to shine as you understood each problem, they looked beautiful, you looked so beautiful. At least that's what he thought.

"I suppose it does" A soft laughter is heard leaving your mouth. There was a beat of silence-just the hush of pages turning in the distance and the soft tapping of your pen again. "You know," you said, not looking at him this time, "I usually hate asking for help."

"I know," he replied, glancing at her-noticing the tension in your jaw softening a little. "But I kind of like that you asked me.

Their eyes met. Just for a second. A heartbeat.

“I do too.” She said softly, turning to look at her notes once again. Her cheeks were feeling hotter, she didn’t want to look up.

“Do you need help with anything els-“ Before he could finish his frase, Aurora began speaking once again, mustering up enough courage to glance at him.

“Would you like to hang out? Outside of school?” She asks, cheeks getting hotter and hotter .

“That’d be pretty nice, actually.” Steven’s now held held a crimson tint, although he tried to act like he wasn’t about to jump out of happiness.

“Cool” she says, attempting to act nonchalant, but giving him a shy smile.

“Cool.” He answers back, returning her smile.

[id-element0]

Using S3DT without US Keyboard Layout

This small tutorial is for anyone who's having trouble with the key commands of the much needed mod Sims 3 Decorator Tools by @omedapixel

Since it was hinted months(?) ago, I've been eagerly waiting for the release. And it didn't disappoint. One thing though, as I recently realised that it can cause confusion on non-US keyboard users.

The reason keys '[' and ']' provided by the mod is not working is because the 'commands' are bound to the actual physical keys on your board and not to the symbols on the keys. For example, to rotate the camera I use two keys right next to the M key, and the symbols on them are just letters in my language and not the US Keyboard symbols.

To fix the issue, first look at your own keyboard and detect the letters P, L and M. These letters are usually where letters end and symbols start on US keyboard. In any variation of QWERTY for some other languages there may/will be extra letters on the keyboard.

What you will do is note the keys next to 'Enter', RShift and sometimes the Arrow keys on your keyboard and whatever is next to them. The trick is to select the physical keys and not the symbols on them. It will be slightly different on every keyboard depending on your language variation.

In theory, anything between P,L,M and Enter, RShift, Arrow Keys should work.

So, if you have '.' or ',' next to your Enter key that is the key -not the symbol- you will use to send things up or down. In a way, your own '[' or ']'. After you decide upon two physical keys on your keyboard to use with up10cm and down10cm commands of the mod, you will go look at the US Keyboard Layout and detect those two physical keys and what's labelled on them.

You will use whatever symbols are on the keys of US Keyboard, in the mod's TRIG resource. Then add 'Shift' variants for 1cm up & down. You need to take notes of the keys and what symbols they have on your keyboard because they will be different from the US layout.

In case you're confused about the whole process - I'm not sure if I explained it well - I'm also pasting the values I have changed in TRIG resource and they work fine for me. You will still need to find what symbol is there on your keyboard for a US '/', though.

/ = MoveUp10CM -> . on my keyboard ' = MoveDown10CM -> a special letter on my keyboard shift / = MoveUp1CM shift ' = MoveDown1CM q = ResetHeight shift 8 = MoveForward5CM shift 5 = MoveBackward5CM shift 4 = MoveLeft5CM shift 6 = MoveRight5CM shift d = EnableDecoratorMode control 8 = TiltForward control 5 = TiltBackward control 4 = TiltLeft control 6 = TiltRight shift q = ClearSelected control alt 4 = TurnLeft control alt 6 = TurnRight

You can try these first as a base and maybe move on from there. It's a 'try and see if it works' kind of thing, really. I also changed the numpad values to regular number keys on my keyboard because I don't have a numpad. If the numpad works for you, don't touch those. And remember, keys you enter in the TRIG resource are not the symbols you will press on your keyboard. I noted down the symbols and what they do on a paper so I wouldn't forget.

NOTE: Don't use 'q' unless you also use Awesomemod, since I believe it will quit the game. 😅 I use Awesomemod and I use 'q' key to reset the height.

I hope this helps and if you have questions, just ask either in the comments or as an ask, or just DM me - whichever you prefer. I will make additions to the post if needed.

[exilethegame]

Did I spend time on the demo instead of studying for my exam in *checks time* 6 hours? Yes. Will I do it again? Absolutely.

Also, I was looking at old asks and you said something about holding off on committing to either Sabir or V if a poly route was to be pursued, but my MC kissed *both* of them when she was making the rounds near the end. Does that mean I can't pursue them both romantically now?

!!! Yeah, so doing the early Vethna lock-in blocks you out of the Sabir poly route. And in the current version of the demo, if you've kissed Vethna it means you trigged Vethna's "romance" scene where you lock into a relationship with them-- which does mean you're "blocked" out of Sabir's relationship. But the current version of the game is the first draft and is railroady in the sense you can't actually turn Vethna down, which will be different in the new demo.

In the rewrite you'll have the options to A.) turn down Vethna or B.) Tell Vethna you want to take things slow, on top of the already existing C.) be in a relationship w/ them.

"A" will completely ruin any chance of being in a relationship w/ Vethna and will set their romance stat to 0, and "B" will just put off locking into the Vethna romance, so you'll be able to still do a poly with Sabir (Or just lock in to a romance w/ Vethna later if you can't quite make up your mind on which RO you want yet!). And then C is just locking into a relationship with them, which would still allow a Nikke poly to take place!

Romance lock-ins will have little tags by them explaining this, tho. For example, Choice C will warn you in the new demo that you're locking yourself out of certain poly routes!

Also! Hope your exam went well! :)

[kjiscrawlingbackformore]

Jackie Taylor!High School Teacher HC

I don’t want to write a full fic about this Jackie but here are my very elaborate thoughts on her. 🫂

Just saw this tiktok of a hs teacher listing off things her student say and LOWKEY left me convinced Jackie Taylor would be a high school teacher if she made it out of the wilderness.

I can just see her a mid twenties high school art teacher with the coolest fits, and a big ass cup of coffee, watching kids go on and on about the new episode of one tree hill or like lost. She definitely sits in her chair and rolls her eyes like “These bitches don’t know I endured a whole ass plane crash with the horniest girls and resorted to cannibalism and survived.”

And if she isn’t an art teacher that girl is DEFINITELY a history teacher. (Also saw a tiktok about the venn diagram of girls who love hearing gossip and favorite subject in school being history is a circle.) Jackie Taylor would eat up teaching history. She would be delivering the lesson plan like it’s an episode of gossip girl.

And the kids would eat her up!!! She lets students do homework for other classes if she’s in a good mood. Will probably pretend she doesn’t see student’s copying homework from each other. Because she’s got a reputation to keep, Ms. Taylor is chill.

She keeps a running list of the wildest shit her students say in class. She would sit in her car at the end of the school day and buzzing to call her significant other to list off the new outrageous things they said throughout the day.

An example of the vibes:

“No babe one student deadass said to me ‘you know your toes can predict if you’ll die early.’” Jackie pauses waiting to her your breathy laugh.

“Dude what?”

“I KNOW! Wait this one was crazy this one is from John in third period he said ‘I just need to take out my eardrums, clean them, then shove them back in.’ Like how the hell do they come up with this stuff” Jackie said with genuine disbelief.

She would also be so protective of her students, especially if any of them remind her of the yellowjackets. Has an extra soft spot for a girl who is the spitting image of Natalie. Would go out of her way to help them pass their classes. Would probably be asked by the faculty to coach the soccer team halfway into the season because the school’s coach had to leave for unknown reasons.

Is hella trigged by soccer in general. But feels bad when some of the girls begged her with fresh cookies and a chick-fil-a gift card. Ends up saying yes. And when they make it to nationals she just about has a panic attack and makes the team take buses to get there.

Oh yeah she is one of the only ones that moved as far as possible away from the others. Probably living in some off shoot town in Florida or New Mexico. Has to be tropical or desert like because fuck the snowy Canadian wilderness yk. Takes her significant other’s last name, maybe even goes by Jaqueline instead of Jackie.

Is living her dream life until that damn PI/journalist pulls up. Has a panic attack in her classroom. Is frantic and goes on this spiral packing half her home up to leave. Because if that woman found her so could they.

idk chat I think Jackie would be fucking terrified of the other yellowjackets.

Her partner would have to calm her down. Reassure her that no one from her past is going to find her. The older she gets the more significantly paranoid she becomes as a person.

Takes anxiety and depression medication. Has nightmares often about what they did. Saw a kid that looked like Javi pass her in school and had to take an entire week off.

Is visited by Misty twice and both times Jackie warns her to never show up again. First time was an accident maybe ran into misty at a bookstore. Probably was a lot like “Fuck off Misty.”, now I’m not saying kind Jackie disappeared but I am saying she’s fucking over the bullshit and cyclical manipulation the other girls perpetuated post!rescue.

Jackie doesn’t owe any of them shit. (well except Nat)

The second time Misty pulled up her partner would probably have to step in because it definitely turned into a yelling match in their kitchen. Holding Jackie back so it doesn’t get physical.

That being said I personally think she’s very chill but not around the other surviving yellowjackets. I think her surviving the wilderness would’ve meant her changing to become something else. That something else being aggressive asf especially if her new life is being threatened to be undone by her v complicated past.

For someone reason I think if Shauna showed face, Jackie would punch her. Then in a very homoerotic way clean her up a lil begrudgingly. Like oh shut the fuck up and let me clean up your broken nose, you’re bleeding on my furniture. 🙄—THE ONLY PERSON JACKIE IS KIND TO IN THIS SWEET V SOFT WAY IS NATALIE SCATORCCIO— I am a jackienat truther 💔

BUT OVERALL I JUST THINK SHE WOULD LOVE INTERACTING WITH HER STUDENTS. She would see them the way she wished adults in her life would’ve seen her. (bc I’m so sorry Jackie Taylor was lowkey depressed.) Really big on helping bring out the potential in her students.

Jackie wants to live a normal life. And bc I make the hc rules she does. The end.😪

[er-cryptid]

Angle Quadrant Locations in Degrees

Patreon

[be-co-me]

Anonymous

Miya Atsumu

1.9k Words

Summary: Homework help proves to be more useful with a cute tutor.

...

Some days college was hard, but the first week of the semester, you didn't think you would be struggling as much as you were. You sat at your desk, nearly at the sixth hour of trying to figure out physics. A lot of it was math. Your worst subject. You struggled with even some of the simplest parts of it.

You decided to take a small break, grabbing your phone and leaning back in your desk chair. You opened ChitChat, an app that many college students around you and the world used. It essentially allowed you to talk and post with people anonymously within a five mile radius of you. You scrolled the usual content that others posted before posting about your struggles with physics.

This physics class is going to be the death of me.

Once it was posted, you scrolled a bit longer, reading some of the threads about the drama going on around the school. There was always something with one of the fraternities or sororities going on, or more like a person in them.

Eventually, your focus returned to your homework, until you heard your phone ding.

New comment on your post, view now!

You sat back once more, picking up your phone and opening the app.

Anon: Which physics course are you in? 

You: The first one :'( I'm struggling hard. 

Anon: Wait till you take the second one. The end is rough.

You: Sounds like I'll be crying a lot next semester then lol

Anon: Well, let me help. Which part are you having trouble with?

You: We're going over trig right now.

Anon: The math is the hardest part. Give me an example problem and I'll see if I can help you understand how to solve it.

You eyed your homework for the problem that you least understood. Maybe if you could understand how to do the hardest problem you could understand the easiest parts, which most of the other problems seemed to be.

You: The hypotenuse is 6 and the adjacent is 5, find the cosine.

Anon: Remember SOHCAHTOA? Sin= Opposite over Hypotenuse and so on so forth?

You didn't know what he was talking about. What was this abbreviation? You remembered a lot of weird ones or songs you learned to remember things, like the quadratic formula and pythagorean theorem, but never one for trigonometry. 

You: I do not. Never learned it. Please elaborate.

Anon: Okay, so the CAH is Cosine= Adjacent over Hypotenuse and the TOA is Tangent= Opposite over Adjacent. Remember that, it's crucial.

You: Got it.

Anon: Now, you need to find the cosine, so you need the CAH part. Your cosine equals your adjacent over the hypotenuse, so 5 over 6. Which is 0.83 in decimal form. Take your calculator and press the cos-1 button and enter 0.83 in the parentheses and close it, then press enter. What'd you get?

You did as he said, eyeing the problem one more time to make sure you told him what it was correctly. 

You: 33.56 was my answer.

Anon: And it's the correct one. Congrats, now you know the basics of trigonometry. Those rules are so important to knowing what to do. If you need more help add me on Snap. My username is    tsumu_rice_&_volley.

You instantly changed to Snap and added him. You had an idea as to who it was and when he added you back and sent you a picture composed with a selfie of him holding his own homework reading "Miya Atsumu", you instantly knew you were correct.

The volleyball team captain. And one of the most well known fraternity members of the school. All the girls sought after him. You never imagined he'd be good at school, but then again how would he stay in it if he wasn't? And volleyball too.

You viewed yourself in the camera, making sure you looked decent, sending a selfie back with your own homework. He responded with one back, the caption reading,

Need help with anymore of those questions?

You could only laugh. At yourself and maybe at how kinda cute the setter was. Your brain wandered off to if there was a chance he would ever like you. There were so many other people he had the option of dating if he wanted to.

Is all of them an acceptable answer?

You sent back. You eyed the paper, none of the answers becoming any easier to you. You wished your professor would explain things a little better, and the online platform you did lessons and homework on wasn't helpful even one bit. He sent a picture back and you opened it.

Could you meet in the library? Maybe I can explain it better in person.

You pondered on if you wanted to go or not. It was very cold outside and you were holed away in warmth of your dorm room. On the other hand this homework was due the next day and you had 49 other problems to get through that you couldn't begin to understand on your own, therefore you opted to meet with him. You snapped a quick picture.

If it's not too much trouble then sure! But I'm buying you a coffee at the cafe. No questions asked.

You got up from the warmth of your desk and the heater pushed into the corner of the floor underneath it, turning it off and putting on a cozy outfit. You packed your backpack up and began your trek to the library/cafe.

You received a Snap from him as you walked, opening it.

I'm here in the corner. It's void of people in here, so I should be pretty easy to find.

His pictures were cute. You were glad he sent his Snap and not some other generic messaging app to talk on. You got to see him along with it. It made your heart leap a little bit when you saw the picture.

Almost there!

You responded, shoving your phone into your jacket pocket as you opened the door to go inside. You wiped the snow off of yourself and walked into the main study area. You looked around for him and met his eyes, him waving you down. You walked towards him.

"Well, I guess I should introduce myself properly. Hi Anon, I'm Atsumu." he said, sticking his hand out.

"And I'm (Y/N)." you responded, shaking his hand with your gloved one. You set your bag down and shrugged your winter attire off.

"So coffee? My treat for you helping me." you said. He nodded, standing up. You walked over to the cafe with him, pulling your wallet out. You eyed the menu for a little while before deciding on a brown sugar oat milk cold brew. He chose an iced matcha latte. You paid for the drinks and stood to the side, waiting for them to be made.

"It sure is dead in here. I didn't expect it to be with the first week of school and all." he said, breaking the ice and starting up a conversation.

"I know what you mean. Maybe everyone thinks it's too cold to go out. I don't have many friends here or I'd be in here studying with them all the time, I just don't wanna be alone in here. It would be kind of awkward." you responded, the barista handing the drinks to you. You handed him his own.

"I get that. I don't have wifi at my dorm yet. I'm in the new building so they haven't set it up. I've got no choice so I kinda got past the awkward part." he chuckled. You made your way back to the table and sat down.

"We even get this huge whiteboard all to ourselves to do as much trigonometry as we desire." he said, pointing out the whiteboard in the corner. Almost all study areas in the school had a whiteboard or, new as of that semester, a large tablet to do work on.

He began to explain the next homework problem you had, eyeing all of the erased pencil and light evidence of wrong answers on the paper. He stood and drew a problem on the whiteboard, prompting you to answer as he wrote down what you responded to his questions. You took your calculator and entered what you had come up with, the correct answer popping up. You smiled as you finally began to understand.

"Alright, I'm gonna take a problem for sine, cosine, and tangent each and put them up here. I want you to solve them on your own." he said, picking up your homework packet and rummaging through the pages to find one of each problem.

Once he was done, he sat back down, working on what seemed to be a literature essay. You took a while trying to make sure every detail was correct, typing into your calculator to get an answer occasionally. Once you were confident your answers and your work underneath each triangular model was correct, you turned around.

"Alright, finished." you said. He looked up from his laptop, setting down his latte and standing to review your work. You sat down, watching him as he carefully reviewed your writing. He leaned over the table and took your calculator, typing in what you hoped was your correct work on each problem. You sipped on your coffee as he reviewed.

"All correct! Good job! Do you think you're okay to finish them up on your own?" he asked. You nodded.

"Ask me if you have any questions." he said, sitting back down across from you. You nodded once more, beginning to work on the packet once more.

After thirty minutes of doing problems and typing into your calculator, you finally finished. You set the calculator down and stretched your arms, eyeing your now empty coffee cup.

"Finished?" he asked, looking up. You nodded, your eyes looking up to meet his own.

"Let me see it." he said, motioning with his hand for you to give it to him. He eyed the packet over, typing in a few problems from each page to make sure they were right.

"You did good! All the ones I put in are correct so I'm sure you did well on everything else." he said, handing the packet back to you. You packed it into it's respectful folder where it would sit until your class the following day.

"How about you? What have you been typing up over there?" you asked.

"Just reviewing this essay. Can you believe we had to do an essay the first week of school? Unbelievable." he said, shaking his head in disapointment. You chuckled in response. That was a little much of the teacher. You'd take note so you knew not to take that teacher's class in the future.

The two of you talked until the library hours were over. You packed your things and put your winter attire back on, ready to walk out. 

"I printed a paper off. Can you grab it for me please?" he asked you nodded, walking across the library to grab it. You stood in front of the printer, grabbing the slightly warm paper off of it. You turned around to wave it at him, but he was gone.

You frowned slightly, turning the paper over.

Let's make this a weekly thing so you don't have to study alone. Here's my number. You better text me! :P  XX-XXXX-XXXX. -Anonymous

[aurorasgate]

🗡️ blade dance

works for: rafayel

unlocks: moments post

requirements:

in the glint photo booth use these poses for you & rafayel

when selecting your pose change your item to phantasma sands

*i took a pic with each one of rafayels items & it trigged with just the first one i used (shadowflame blade) so i don’t think it matters what item he uses*

no pose or outfit requirements

example:

guide masterlist

tag list: @philosians

[snarkformysanity]

Twilight Chapter 4

IN MY DREAM IT WAS VERY DARK, AND WHAT DIM LIGHT there was seemed to be radiating from Edward’s skin.

You can absolutely use dreams to foreshadow things. But this is just painful. Also Meaningless Meaningful Dreams are another staple of YA - the Shadowhunter books do it a lot, as another example. They'll either be used like this one, to "foreshadow" things the book hasn't officially revealed yet, or to hammer in "symbolism" or something to that effect. What all of these dreams are missing, however, is any tangible effect on plot, character or worldbuilding - and as such, they should go.

Nightmares often suffer from a similar effect when used to display "trauma." A character will have nightmares about their trauma, and sometimes it will be described to us in exhaustive detail, or sometimes just summarised. But the end result is always the same - a whole lotta not much. The character will have their nightmare, then go about their day as if nothing happened. They aren't sleep deprived, there's no change in their behaviour, etc. At best, it'll be used as an excuse for their love interest to cuddle them back to sleep. But that's it.

Anyway, as you've probably gathered, Bella is dreaming about Edward. Nothing of note comes of it.

Bella summarises the aftermath of the accident for us, saying that Tyler is now following her around, desperate to make amends.

Mike and Eric were even less friendly toward [Tyler] than they were to each other, which made me worry that I’d gained another unwelcome fan.

An "unwelcome fan," yes. You can just feel the friendship dripping off the page. It's honestly astonishing how many YA protagonists claim to be friends with someone, and then do nothing but mock/hate on/pity them in their narration. I think it was worse right after Twilight - books these days have wised up a little, and will usually now have an "in" crowd who doesn't get hated on while the judgmental diatribe is reserved for everyone else. E.g. the Inner Circle in ACOTAR.

Bella tells us again how impossible it was that Edward saved her, and how he seems to be avoiding her again.

He wished he hadn’t pulled me from the path of Tyler’s van—there was no other conclusion I could come to.

Aww, come on, Bella, you were actually doing okay with treating his hate reasonably for a while! But, this is much more standard YA fare.

She spends a few more pages angsting over how Edward won't talk to her.

Jessica made me aware of another event looming on the horizon—she called the first Tuesday of March to ask my permission to invite Mike to the girls’ choice spring dance in two weeks.

I mean, kudos to Jessica for not wanting to cause drama in the friend group, but she really doesn't need Bella's permission. But, alas, Bella is a Mary Sue, and nothing can happen in the book without it revolving around her. Of course she's the final arbiter of who Mike goes to the dance with. This sneaks in with a lot more protagonists than you'd think. It's just usually disguised better.

I suspected that Jessica enjoyed my inexplicable popularity more than my actual company.

Phrases like "inexplicable popularity" are basically massive neon signs pointing to a Sue. If the popularity can't be explained, then it only exists because the author made it so.

The next day, I was surprised that Jessica wasn’t her usual gushing self in Trig and Spanish. She was silent as she walked by my side between classes, and I was afraid to ask her why.

No, Bella, you're just a bad friend. Most YA protags are.

Anyway, Mike told Jessica he'd have to think about it, because he's hoping Bella will ask him instead (the girls have to do the asking for this dance, iirc). He tells her as much in their biology class. Bella invents an excuse, saying she'll be out of town that weekend, and tells him to take Jessica instead.

“Can’t you go some other weekend?” “Sorry, no,” I said. “So you shouldn’t make Jess wait any longer—it’s rude.” “Yeah, you’re right,” he mumbled,

On the same track as Jessica not needing to ask Bella's permission to ask Mike to the dance, Mike doesn't have to go with Jessica just because Bella tells him to. But no, no, as the resident Sue, Bella is the final arbiter of such things, and everyone will end up happy as a result, because otherwise...

I closed my eyes and pressed my fingers to my temples, trying to push the guilt and sympathy out of my head.

Otherwise, the protagonist might have to actually think about how they treat people, and we absolutely cannot have that.

Of course, Bella's not obliged to ask Mike to the dance just because he wants her to. But she should just tell him she doesn't want to go with him, not string him along or try to ship him off like this.

And then, something truly astonishing happens. Edward looks at her.

I couldn’t believe the rush of emotion pulsing through me—just because he’d happened to look at me for the first time in a half-dozen weeks. I couldn’t allow him to have this level of influence over me. It was pathetic. More than pathetic, it was unhealthy.

Often, books will hang a lampshade on issues with their writing - in this case, how completely unhealthy Bella's obsession with Edward is. I think the thinking goes like this: if I point it out, that means it's on purpose/I'm aware of it, and that makes it all better. Except, of course, it doesn't. If you're aware of flaws in your writing, fix them. Or, if they're deliberate, make sure you're handling it as what it is (a deeply unhealthy relationship, in this case), instead of pointing it out and then carrying merrily along as if that somehow nullifies the flaw (i.e. by treating Bella and Edward's relationship as if it's desirable, in this case). Hunt being a domineering asshole in CC is another good example. The book even invented a new word to lampshade it with - alphahole. But it didn't bother doing anything to make him not an ass.

“It’s better if we’re not friends,” [Edward] explained. “Trust me.”

Ah yes, the classic "it's too dangerous for us to be together!" It has many variations, of course. It's gotten to the point where books will have their characters spout this to each other, but then completely forget to actually have some sort of danger (see CC again for an example of that). The trope is that strong. At least Bella/Edward has the excuse of Edward wanting to nom her (and being a creepy, possessive stalker, though the book won't acknowledge that) to make the relationship actually dangerous.

Nothing much comes of their discussion.

Gym was brutal. We’d moved on to basketball. My team never passed me the ball, so that was good, but I fell down a lot. Sometimes I took people with me.

I do wonder what she's doing that she's falling down so much even if she's never passed the ball. But, I'll give Twilight this - at least it commits to the clumsiness.

Bella goes to leave school, just in time for Eric to remind us of her Sue powers and how all the guys want to sleep with her. But, she turns him down.

Edward was in his car already, two spaces down, sliding out smoothly in front of me, cutting me off.

This is definitely how suave, mature 100+ year old vampires who want to avoid someone behave. Uh huh.

I considered taking out the rear of his shiny Volvo, but there were too many witnesses.

Bella's not quite as bad as some other protagonists for being all talk, no action, but, it's still there sometimes. Calaena in TOG is a much more egregious example.

Tyler comes to remind us yet again that all the guys want Bella. She also turns him down. But remember, guys, there was no way she was ever going to fit in at this school!

She goes home, Jessica calls her (on a landline phone!!!!!) and tells her that Mike accepted her invitation. Bella immediately begins shipping off the other guys.

Now that [Jessica] was sure of Mike, she actually sounded sincere when she said she wished I would go to the dance.

Girl-on-girl hate is another very common trope in YA. It's surprisingly less noticeable in Twilight, as Bella kinda just hates everyone the same. But, it stems from the idea that all girls are in competition for men all the time - they can only be friends if they aren't a threat to the Main Ship. Siblings of the love interest, usually. It's chilled a bit in more recent years, but you still see it from time to time.

Of course, we think about Edward again.

[Edward] must see how absorbed I was by him; he must not want to lead me on . . . so we couldn’t even be friends . . . because he wasn’t interested in me at all.

YA protagonists have an interesting relationship with "guessing" and "figuring things out." Most of the time (especially if they're Sues), their guesses are never allowed to be anything but 100% correct (and usually explained away as "instinct" or that she "just knew")........ except when it comes to whether or not the love interest likes them. He can all but declare it to her, and she will still insist that there must be some mistake. Now, in fairness to Bella (for now, at least), Edward isn't really giving "I like you" vibes for the most part, but still. Give it time.

Interesting . . . and brilliant . . . and mysterious . . . and perfect . . . and beautiful . . . and possibly able to lift full-sized vans with one hand.

Only one of those things is actually true about Edward.

Charlie comes home, and Bella decides to tell him about her plan to avoid the dance.

“Um, I just wanted to let you know that I’m going to Seattle for the day a week from Saturday . . . if that’s okay?” I didn’t want to ask permission—it set a bad precedent—but I felt rude, so I tacked it on at the end.

Bella. You are a minor and he is your parent. You kinda do have to ask him for permission to do things. What is this "bad precedent" nonsense? If you were saying this to, say, your boyfriend, then yeah, I'd agree it was bad precedent. But not your parent. Not until you're an adult, at least.

He offers to go with her.

“That’s all right, Dad, I’ll probably just be in dressing rooms all day—very boring.” “Oh, okay.” The thought of sitting in women’s clothing stores for any period of time immediately put him off.

Ah, yes. Hello, sexist stereotypes.

Skip to the next day at school. Bella drops her keys in a puddle. Three guesses who zooms over to pick it up.

“How do you do that?” I asked in amazed irritation. “Do what?” [...] “Appear out of thin air.” “Bella, it’s not my fault if you are exceptionally unobservant.”

I mean, on a meta level, it's true, but in context, it's gaslighting.

She asks him about why he blocked her truck the previous day.

“That was for Tyler’s sake, not mine. I had to give him his chance.” He snickered. “You . . .” I gasped. I couldn’t think of a bad enough word. It felt like the heat of my anger should physically burn him, but he only seemed more amused.

A surprising number of love interests enjoy tormenting their protagonists. I think it's meant to be a combination of that old stereotype about boys teasing the girls they like (and remember, they have to hate each other first), and banter between established couples. But it always kinda falls flat and just ends up being mean-spirited.

“Bella, you are utterly absurd,” he said, his low voice cold. [...] “I’m sorry, that was rude,” he said as we walked. I ignored him. “I’m not saying it isn’t true,” he continued, “but it was rude to say it, anyway.”

Bad book, don't put Bella's actions in amongst Edward's dialogue. Also, classic abuser here. "I'm not wrong, you're just too sensitive!"

“Why won’t you leave me alone?” I grumbled. “I wanted to ask you something, but you sidetracked me,”

And more! "It's your fault I'm doing this."

“Do you have a multiple personality disorder?” I asked severely. “You’re doing it [sidetracking him] again.”

"Just accept my erratic behaviour and don't question it!" Jesus, he's in fine form today, isn't he?

In true asshole form, he makes it out like he's going to ask her to the dance, but then abruptly switches to asking if she'd like a ride to Seattle instead.

“With who?” I asked, mystified. “Myself, obviously.” He enunciated every syllable, as if he were talking to someone mentally handicapped.

You know it's True Love when they talk to you like you're mentally handicapped. Really empowering stuff.

"...I thought you didn’t want to be my friend.” “I said it would be better if we weren’t friends, not that I didn’t want to be.”

It's always some variation of this. Also, asshole, if you were actually concerned about her wellbeing, you'd stay the fuck away from her. Not torment her with this hot-cold business.

His eyes were gloriously intense as he uttered that last sentence, his voice smoldering. I couldn’t remember how to breathe. “Will you go with me to Seattle?” he asked, still intense. I couldn’t speak yet, so I just nodded.

I'm sure I've said it before, but. Hypnosis. It would make this book make so much more sense.

Actually, I've just thought... how cool would it be to have a story that basically goes like Twilight does, except it's actually a horror story about being unable to stop yourself falling for the vampire, because he's hypnotising you without your knowledge? Your body screaming at you to get away, yet you keep going back? Someone should do that. Maybe I will, one day.

“You really should stay away from me,” he warned. “I’ll see you in class.”

No, you really should stay away from her. Asshole. But, anyway, that's the end of the chapter.

[o2studies]

looks like you got some good advice for the math, but the other thing i'd suggest when doing trig problems or anything involving proofs, showing things are equal, etc. start the problem by writing down all the definitions you'll need for the problem. for example, cotangent by itself might not spark much in your memory, but by writing it down you can see how it relates to the other trig functions. then from there maybe it'll give you some ideas about what steps to take next. any definitions, equations, etc. given to you by the instructions, start with those. it's also ok to work backwards to the answer!

-advice from a girl who suffered her way through a bachelor's in math :)

Hey! It's been a while since you've sent this — I have listened to your advice tho and it really does help to just list every possible related formula! Working backwards too, I've been doing what a while, even with other topics, but it can be easily forgotten as an option.

So tysm for your advice!!

[lunarsilkscreen]

Hearthstone Pauper-ish Diamond grade Death Knight Plague-Discovery deck

This is an example of a strong deck that is incredibly cheap to build. Using mostly common core cards, and as few legendaries as possible.

To build you need two of each Class Cards;

Death Growl, Staff of the Primus, Dead Air, Distressed Kvaldir, Down with the ship, Frost Strike, Necrotic Motion, Silk Stitching, Farm Hand, Toy Snatching Geist

Two of each common cards;

Scarab Beetle, Celestial Projectionist, Watcher of the Sun, Explodineer

And one of each legendary;

Zola the Gorgon (common core), Helya (class)

You'll notice this build is Incredibly different from the basic plague-bringer deck. And Zola being a core card means you should already have it if you've gotten all your ketchup already.

This relies on copying your "Plague Cards" which includes the new core card "Explodineer". Death Growl and Dead Air allow you to spread your death rattles, and destroy your undead to trigger their death rattles and bring them back to full health (as well as trigging Reborn while bringing back the original and building up corpses.

Silk Stitching allows you to discover a spell to turn into a deathrattle which allows you to put a four cost spells on a creature, which you can then spread with death Growl.

Death Knight has a lot of discovery cards, and we used nearly all of them, except the red cards. Because plague-bringer requires you to use two green. And blue gives us frost strike which is removal AND discovery as opposed to the red version of kvaldir.

Though, a 2/green, 1/red variant of this deck is just as viable. I built that first.

The blue allows you to put in reska if you take out a Toy Geist. (discovery is fairly likely to give you a second toy Geist if you really want one. But two geists I find has too much discovery.)

Scarab Beetle also has a chance of getting you duplication cards, bartenders, and your two-cost class cards.

The discovery mechanics means you're not very reliant on drawing yourself. Which protects you from decking yourself and another plague deck.

If you'd like to explore some variants *without reska*, paparazzi is nice card, Tomb Traitor, and Yelling Yodeler work extremely well in this deck too.

But I rely on the "Dead Air" card which is why I didn't add them. Plus the Discovery is fairly likely to find at least one Yodeler. Alternatively Corpse Farm and Asphyxiation are good support cards as well.

The one drawback of course is RnG. But as long as you discover something close to what you need in your hands you'll do fairly well.

To play this; your watchers are your main recover and support cards, pulling extra holy spells which help your defenses.

When you play a discovery card, you're looking for something you can play, as opposed to the best card.

If there's a good card you can play in two turns, vs a card you can play next turn when you'd otherwise have open mana, it's best to get something you can play vs wait to play.

Unless it's reska.

Even discovering a Headless Horseman is often not very good, unless you're expecting to need the extra removal.

Though the main win-condition is Helya, and loading up your opponent's deck with endlessly regenerating plagues supported by Explodineer. (And duplicating plagues)

Side Note; That what Helya means when it says "Plagues are endless" instead of burning the plague card when it's drawn, it'll get shuffled back into the deck.

The deck is very fast paced, and you have an equal chance of just destroying your opponent by simply attacking them with seemingly endlessly discoverable creatures.

I will be back with more fun and cheap decks.