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#red euler
karmesean · 10 months
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AIN'T no way e^i(π) is his cuddle buddy
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ice-cappuccino · 6 months
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OHMYGOSH YOUR LIAM SPRITE IS SOOOOO CUTE. INSTANT FOLLOW ❤️❤️❤️
could u possibly do julien (toothpaste) also from hfjone? if not (he is a very minor character) then could u do bryce (soda bottle) or airy???? thank u for ur time!!!
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transparent (smile and frown) —
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julien, amelia, and bryce web charms! (requests open)
request note —-x-— enjoy! hopefully the transparency works properly, wasn’t entirely sure how to handle the bottle and glass being see-through for both dark and light backgrounds, but i think it worked out. thank you for requesting!
(created by me — feel free to use without credit — reblogs appreciated)
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self indulgent serving amelia stimboard because i genuinely cant stop watching that video
★★★|★|★★★
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nyancrimew · 10 months
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what if i told you about Euler's Line? it's a line that goes through every type of center a triangle has, from the circumcenter to the orthocenter, the centroid, even the nine-point center!! it's actually a really cool property triangles have. i would recommend u read more into this its a quite interesting topic and very deep. if u wanna learn more about this u should search up "among us impostors kissing red sus" on duck duck go images
wow that's so cool let me duck duck go images that real quick- hm this is awakening something in me, triangles are so cool
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deuceofgears · 13 days
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things I do instead of going to Urgent Care
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[a woman in a black military uniform pulls on a fingerless glove; in the background, a Sierpinski gasket and the Euler identity; Captain Kel Cheris, motto 'Do the math, fledge']
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[a smirking man in a black military uniform with red braid holds a smoking gun from which drifts the number 1,000,000 (one million); in the background, a fox-head emblem and the Roman numeral IX (nine); General Shuos Jedao, motto 'I'm your gun']
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[a woman in a black BDSM outfit and chain wings]
Well, it wasn't what I was aiming for but I ended up with Succubus!Cheris.
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[a man in a black military uniform with gold braid salutes fist to chest; in the background, a phoenix]
Nice!Jedao, who will massacre *the enemy* on command but is totes safe to babysit your kids and bring to the family BBQ, and only cheats at poker if you really have it coming.
Still trying to test the hypothesis that Evil = Hot, Nice = Not Hot (I am not sure about how Succubus!Cheris and Nice!Jedao fit into this schema)
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zkylearnstherope · 5 months
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AvPhysics - An Analysis [Part 1]
[Part 1] - Part 2 - Part 3 - Part 4
Disclaimer: This will only be a surface-level analysis for Animation vs. Physics. If you expect something more in-depth, you have to wait for the physicists.
Let's get into it- shall we?
Obviously, TSC spawns from the e✖iT Euler's Identity made in the end of AvMath. For the sake of this analysis, let's call this one, TSC_0.
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One minute upon arrival, TSC_0 didn't have any personal goal/objective, so he was just running around. This also demonstrates the accuracy of the UI Formula Thing (UFT) that shows up on the screen.
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That is, until he found this ball, and then the others after it. Which we eventually realize, all came from The Singularity. Something or someone is trying to get his attention. He needs to reach the Singularity.
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The first thing he realizes is, "Dang, this is gonna take a while".
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Also, space is dark because there is no sun- specifically, no solar system.
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Okay, new goal. We need to get faster. But how?
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Side Note: Animation vs. Frequency? Animation vs. Color Theory? Animation vs. Sound Waves?
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A Solar System (with its own star/sun) spawns in. He did not reach it, it spawned in. It literally did NOT exist prior to the flashlight.
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He utilizes the space maneuver called the Gravity Assist. Also called the Slingshot Effect. It's where you use a planet's gravity, by moving around it (but not entering it) to gain significant speed.
Most sci-fi stories use this maneuver to save on propulsion and to change/correct the course of the spacecraft.
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UFT shows that he got faster now, but it's still not enough.
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So he does it again with two faster-orbiting planets. Gaining more speed in the process.
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He was supposed to make impact with the sun here, although I'm not sure why he didn't. It's probably because a sun along with its own solar system moves through the galaxy. They don't stay in one place.
For example: Our Solar System orbits the Milky Way Galaxy for about 230 million years, which is also called a cosmic year.
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And by moving around the sun but NOT hitting it, gave him even more speed.
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Here's his speed upon exiting the solar system.
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He eventually reached 1% of the speed of light. Yep, that whole almost-dying-in-the-sun process, is still not enough to get anywhere.
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Magnets spawns in. Again, they did NOT exist prior to this.
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"Hmm... we can use this," he says.
Step 1: Let's magnetize the crap out of this rocket.
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Step 2: Enter the magnet gates.
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Step 3: We get a magnetic linear accelerator, which utilizes the opposing magnetic fields to propel/launch objects at high speeds. Initially thought this was a particle accelerator, but turns out that's a whole different thing.
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And now we reached 80% of the speed of light.
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If you're still following me... good news, we have reached half of the video.
Cool graphics, 'cause why not.
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Around this point, TSC_0 experiences Time Dilation. This is important for later.
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This is because he has now left the galaxy.
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More sci-fi stuff. Everything starts to look more red.
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Red-looking black hole.
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Something hits him on the head. How is this possible?
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Oh no, my apple. Take note, that the apple glows red whenever gravity is messing with it.
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Goodbye world, my apple needs me.
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Aww... Turns out there is a photo limit per post.
Here's [Part 2].
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mysticstronomy · 10 months
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WHAT IS TIME DISTORTION??
Blog#310
Saturday, July 1st, 2023
Welcome back,
Scientists could soon test Einstein's theory of general relativity by measuring the distortion of time.
According to new research published June 22 in the journal Nature Astronomy, the newly proposed method turns the edge of space and time into a vast cosmic lab to investigate if general relativity can account for dark matter — a mysterious, invisible form of matter that can only be inferred by its gravitational influence on the universe's visible matter and energy — as well as the accelerating expansion of the universe due to dark energy.
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The method is ready to be tested on future surveys of the deep universe, according to the study authors.
General relativity states that gravity is the result of mass warping the fabric of space and time, which Einstein lumped into a four-dimensional entity called space-time. According to relativity, time passes more slowly close to a massive object than it does in a mass-less vacuum. This change in the passing of time is called time distortion.
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Since its introduction in 1915, general relativity has been tested extensively and has become our best description of gravity on tremendous scales. But scientists aren't yet sure if it can explain invisible dark matter and dark energy, which together account for around 95% of the energy and matter in the universe.
"Time distortion predicted by general relativity has already been measured very precisely at small distances," Camille Bonvin, lead study author and an associate professor at the University of Geneva, told Live Science via email.
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"It has been measured for planes flying around the Earth, for stars in our galaxy, and also for clusters of galaxies. We propose a method to measure the distortion of time at very large distances."
The method suggests testing time distortion by measuring redshift, the change in the frequency of light an object emits as it moves away from us. Bonvin said the difference here is that this technique measures redshift caused as light attempts to climb out of a gravitational well, a "dent" in space-time created by a massive object.
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"This climb changes the frequency of the light because time passes at different rates inside and outside of the gravitational well," she said. "As a consequence, the color of the light is changed; it is shifted to red.
By measuring gravitational redshift, we obtain a measurement of the distortion of time."
Time distortion suggests that time is not absolute in our universe but rather passes at varying rates depending on gravitational fields.This idea is not exclusive to general relativity.
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"Time distortion exists in all modern theories of gravity," Bonvin said. "However, the amplitude of the time distortion  —  how much the presence of a massive object slows down time —  varies from theory to theory."
In general relativity, the distortions of time and space are predicted to be the same; in other theories of gravity, this is not always the case.
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That means that by measuring the distortion of time and comparing it to the distortion of space, physicists can test the validity of general relativity.
The team's new method could also test another leading theory of the cosmos: Euler's formula, which astronomers use to calculate the movement of galaxies. Specifically, the team's proposed measurement of time distortion could prove whether dark matter obeys Euler's equation, as prior studies of time distortion have presumed.
Originally published on livescience.com
COMING UP!!
(Wednesday, July 5th, 2023)
"WHAT IS BETELGEUSE??"
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scramble-crossing · 7 months
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Euler's Identity
Chapter 1: After the Sermon, Before the Wake
Rating: M
Characters: Sho Minamimoto, Neku Sakuraba, Shiki Misaki, Daisukenojo "Beat" Bito, Rindo Kanade, Tosai "Fret" Furasawa, Nagi Usui, Shoka Sakurane
Pairings: Sho Minamimoto & Neku Sakuraba, Sho Minamimoto & Rindo Kanade & Tosai "Fret" Furasawa & Nagi Usui, Implied Neku Sakuraba/Shiki Misaki/Daisukenojo "Beat" Bito
Warnings: Implied/Referenced Suicide and Self-Harm
Summary:
It happened again
As it has happened before
And as it will happen a hundred times more
After yet another attempt at the Composer's seat leaves Minamimoto critically wounded, he's forced to seek refuge in the only place left that will have him: his old home, WildKat. But it's come under new management since he's seen it last. Proprietor Neku Sakuraba has been dealing with his own ghosts since reclaiming the life he should have lived after the Long Game, though he's able to find comfort in his friends as they help him, and the cafe, get back on their feet. Maybe they can do the same for Minamimoto, when the Wicked Twisters reach out to him with an offer of reconciliation...
Sometimes all it takes is a little deviation
Read on Ao3
(And also a playlist here!)
My fic for the @subasekabang 2023! Had a blast participating alongside my Bang partners @starocide and @awanderingserena. Make sure to check out their works!
Preview under the cut
The gentle, lapping water of the Shibuya River blushed indigo, reflective of a sky that fell like a silken curtain over towers buttoned here or there with a warm yellow light, a few windows stirring, blinking sleepily open. Little moved and all was quiet. Well, quiet as it ever could be. Washed in a dusky lowlight burnt only at the very edges by the dayish gold of a still-rising sun, most of Shibuya was still dreaming as Sho Minamimoto emerged from the dark tunnel’s maw, greeted only by the rumble of far-off cars like a cat’s amused purr.
Morning broke, and from within it spilled a city untouched by rapture.
He breathed fresh air. It was tinged with the familiar scents of scathed asphalt and smoke and filled whatever mimicry of lungs he had left in his chest. Notes of citysong danced in his ears. He heard birds chitter, saw airplanes pull white-tufted tails behind them, both swimming the sky’s murky depths, and him, standing inside of it all, a part of it all, was as alive as a dead man like him could ever be.
…But he wasn’t supposed to.
‘Incongruent.’
This time was different than before.
‘Why am I…?’
Sho staggered. A searing pain tore down through his stomach like a knife plunged in and twisted, blood bursting in his head, filling his sight with a pulsing red haze, ruby dark, growing darker. He shut his eyes. Fumbled in blackness. His legs trembled like that of an infant still fresh to the earth; it took all he had left just to keep himself from collapsing into the embrace of concrete beneath his feet.
He would not fall. No, he would hurt and he would ache, he would fracture into pieces, but he would not let himself go wholly and with quiet humiliation into a storm that had since vanished.
And so he started walking.
Shadows of the overpass criss-crossed his path as Sho dragged himself over the gutter’s sloped ridge, keeping low along the city’s underbelly. They were long and soft in the surrounding dimness. Easy to slide into. He knew someone who would’ve loved them (Who? That was lost somewhere in memory), but for him the angles were too stretched, too obtuse, the encroaching sunlight giving too little space to hide. He would have to keep moving. Even as exhaustion weighed heavily on him, sucking at his heels like torrent water and making him think for one wild, confused moment that it was the river wanting him back.
He tried to shake it off, clean his mind of the clinging, gurgled whispers whose voices he couldn’t tell from his own. It was all the same, anyways. A reprise on unfinished business.
You lost
‘I lost.’
He never stood a chance.
When he flexed his hands to make sure he could still feel them, his fingers pressed with splintered nails into palms that hadn’t once brushed the fantastically inhumane coldness of divinity. They were hot and slicked with sweat and dirt from the ground he’d crawled across. His eyes were not reverent, nor were they holy. They were pained by the light that had filled them. Even when they were closed he felt no relief, the image of His split-grinning face twin tattoos on the insides of his eyelids.
White.
‘No’
Teeth.
‘Stop’
Cherubim faces, child’s hands.
Great shafts of light like sterile dreams.
He grasped his hair, tugged hard until it screamed.
Peach lips. Apple cheeks. Fruit of the Lord, piercing his still-warm core.
(It didn’t help)
Him. Him in the center of it all, when the omnipotent hymns of gold and saintly frequencies fell silent, and he met his violet, ice-chip eyes.
‘It hurts’
When he smiled.
‘It hurts.’
When he laughed.
‘It hurts’
When he saw himself in a smear across the floor, everything he ever was or ever could have been left as a stain on God’s front porch.
+ some bonus shitposts
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antares031 · 7 months
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Second batch of AI-generated pictures of Red, with an improved version of LoRA I trained.
Checkpoint: Koji v2.1
Sampling method/Upscaler: Euler a/Latent
LoRA: test_lora_utred_v1-05
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bloodandpotionsrp · 9 months
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Meet Me! Da Masterpost
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Ask Box: Open
Art by yours truly under @haruhiheart
Haru
Essential Information
Age: 26 (estimated)
Blood Type A+
Astrological signs: Virgo Sun, Cancer Moon, Scorpio Rising
September Birthday
MBTI: INFP
Enneagram: 4w5
Gender: None. They/Them.
Quick Summary
Highly ambitious from a very young age and raised by noble parents, they strive to excel in everything they do. When mortal distractions didn't satisfy them anymore, they turned to the occult and witchcraft. A ritual gone wrong has drawn the attention of the church and got them arrested on charges of Heresy and Witchcraft.
This event has left a mark on Haru's psyche. Despite being spared from being burned at the stake and sent to the Sakamaki family as a sacrificial spouse instead, the weight of their failed ritual still lingers, leaving them with a feeling of inadequacy and vengeful anger they compensate with a tough and confident façade.
Relationships
Laito Sakamaki
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Interactions loosely based on the events of Haunted Dark Bridal. It doesn't take much time for Haru to see through Laito's bullshit. They've seen it too many times in high society and now is only bothered by his lack of manners when it comes to courting. That being said, they are far from unaffected by his charms in spite of playing hard to get. Only after much fighting and understanding to they go crazy for one another.
Other Relationships
@bluerosethornrp A best friend in all universes. Guest appearances? Often, most likely.
TRIVIA TIME
Haru is pretty comfortable with physical intimacy until feelings are involved. Then they're like a deer in headlights.
Their favorite food is Red Velvet Cake
Haru enjoys discoveries. It doesn't matter if the learning is practical or not. New experiences gives them intense joy.
Bones. All the bones. Scarily efficient at cleaning them.
Smells like incense.
Has memorized the first 62 decimals of Euler's number.
Playlist
Rules
I have a tough skin, I'll engage with most things thrown at me. BUT I still can delete if it makes me feel uncomfortable.
Relating to number 1, don't be a dick. If you are, you'll be blocked. If you're in anon, I'll find you AND block you.
No shame. Willing to do NSFW here on my blog. If you don't want that, give me a heads up before starting and we'll talk in the DMs.
Speaking of DMs, talk to me. If you want to talk art, hit me up at @haruhiheart
Any are welcome here. OC, Canon, Anon, Randos... I'm game.
Be patient with me. I don't know Diabolik Lovers all that well yet and may struggle at times. Thank you.
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I don't have synesthesia, I don't actually see colors when I hear certain numbers, but I do associate colors with numbers in my head. When I see "57" written on a page, all I see is the black text of the number 5 and the number 7, but in my head it seems like a lime green color with a yellow aura. The number 5 by itself seems green to me, dark green, and 7 is yellow, so putting them next to each other blends them together. I associate the number 57 with the packaging of lemon-lima soda, and I have no idea why.
Each digit to me has a distinct color, and the different combinations shine through in different ways.
Neutral; it doesn't have a color of it's own, it just takes on the color of the numbers next to it. I guess by itself it appears black.
Pinkish red, somewhere between magenta and red (approximately 255,0,128)
Blue, but not dark blue. Not light blue either; not sky blue, not cyan, just a nice standard deep blue
Light purple, perhaps mauve or heliotrope
Green
Orange
Yellow
Dark blue
Very dark purple, more blue than red, almost black
0 is like 1, it doesn't shine through at all. It has no color, not even black, just clear, invisible, nothing.
I tend to group numbers into pairs, with the leading digit taking charge. The 20s are all pink-red, but if I imagine each number individually they present themselves differently. 20 and 21 are standard pink-red, but 22 is very bright red because of the double twos. 23 is a pink-red 2 next to a blue 3, but 24 is a purplish-pink as if the 2 and 4 blended together. 25 is red and green like Christmas. 26 is a salmony orangish-pink. 27 is a bright artifical red like cherry flavored candy but the 7 stands out as a yellow highlight (27 reminds me of ketchup and mustard for some reason, no idea why). 28 and 29 are like 23, each digit standing alone without blending together. I don't know why some colors blend and others don't; there seems to be no rhyme or reason as far as I can figure.
For 3 digit numbers, the leading digit takes precedence, so numbers in the 300s are all blue, but the second digit can sometimes shine through. 367 is a teal 3, a ruddy orange 6, and a mustardy brown 7. 305 is blue with a green tail. 399 is dark dark dark blue. 311 is regular blue with a black tail.
For 4 digit numbers, the leading digit again tends to take over, except for 1000 to 1999, in which case the second digit is the strongest. I imagine years as being colored by the century; the 1700s are yellow like old parchment, the 1500s are a brownish green like dense foliage on a jungle floor, the 1900s are dark dark purple, etc. Within each century, some decades shine through better than others; the 1860s are dark blue and orange, the 1770s are muted mustardy yellow, the 1970s are purple and electric yellow, the 1950s are just purple with no green at all, the 1920s are purple and pink, the 1490s are light purple with a dark purple tail, the 2000s and 2010s are pure red-pink because the leading 2 takes precedence over the 0s and 1s, but the 2020s are very loud cherry/fire engine/flaming cheetos red (especially 2022).
5 digit numbers and on are nothing to me. They're just strings of digits, plain black text, nothing shines through. MAYBE the leading digit gives the string a weak glow, but I don't picture it broken down into pairs like I do for smaller numbers.
Pi is blue, slightly darker than 3 by itself but not quite as dark as 8. 3.14 is a gradient from blue to purple. 3.1415 is the same gradient with a green tail. 3.1459 has no green in it at all, it's just a gradient from blue to dark purple. 3.14159265358979323... is just dark blue. After a point, the digits stop influencing each other and the leading 3 is all I see.
Euler's number e is red, with the same ketchup and mustard association as 27.
The golden ratio phi is not golden to me at all; if I imagine the formula for it (one plus the square root of five, all over two), that's a dull brown, like the green of the 5 and the red of the 2 mixed together, but if I imagine the decimal expansion then it's orange because the 6 in 1.618... shines through brighter than the reat.
Give me a number between 0 and 9999, and I'll describe how it seems to me.
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unboundedfates · 2 years
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Meet the Rival; Atlas Log
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Name: Atlas Log
Birthday: July 15 (Cancer)
Age: 26
Height: 165.8 cm
Dominant Hand: Right
Homeland: Lillycove City, Hoenn
Club: None
Best Subject: Chemistry
Hobbies: Battling, Pokémon Contests
Pet Peeves: Plans canceling day of agreement
Favorite Food: Lava Cookies
Least Favorite Food: Rage Candy Bars
Talent: Rock Climbing
Occupation: Pokémon Coordinator, Teacher Student, Vice Dorm Head of Ramshackle
Nicknames: Starf, Jellyfish, Henchman 2
Eye Color: Red
Hair Color: Crimson
Family: Professor Euler Log (Grandfather), Marlon (Father), Ivory (Mother), Melody (Younger Twin Sister), Unnamed Deceased Older Brother
Team;
Mamoswine, Male
Tyranitar, Male
Vaporeon, Male
Toucannon, Female
Aggron, Female
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arbieroo-art · 7 months
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Fence - Euler Red, White, Black and Blue Constructed from 250 sine curves of equal amplitude but various colours, lengths, frequencies, starting positions and ending positions and following a simple deterministic set of rules, this might be a unique way to paint a fence. The choice of 250 curves was accidental but proved pleasing to me. Whilst the rules are perfectly deterministic, it is acting on a sequence of natural numbers in the range 0-9, inclusive, and in this case those numbers were the first 250 digits of Euler's number.
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ao3feed-undertale1 · 9 months
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Another Dumb Voting By Upsilon (ADVBU)
read it on AO3 at https://archiveofourown.org/works/49286113 by Up_siI_on The sequel to Upsilon's Really Awesome And Dumb Voting - 40 contestants, from dimensions old and new, are brought to compete for the ultimate prize: a gemstone that can grant almost any wish! Friendships will be made, and enemies will come to light. Who will take the win and be crowned 1st place? (Inspired by Epic Character Elimination Reboot! Go check it out as well!) Words: 13279, Chapters: 1/?, Language: English Series: Part 2 of URAADV Fandoms: Battle For Dream Island (Web Series), Just Shapes & Beats (Video Game), Kirby (Video Games), Wings of Fire - Tui T. Sutherland, Will You Snail? (Video Game), Animator vs. Animation (Short Films - Becker), Henry Stickmin Series (Video Games), Charlie the Unicorn (Web Cartoon), Minecraft (Video Game), My Singing Monsters, Bee Swarm Simulator (Roblox), Inanimate Insanity (Web Series), Dicey Dungeons (Video Game), ONE - Cheesy Hfj (Web Series), Undertale (Video Game), Pocket Monsters | Pokemon - All Media Types, Deltarune (Video Game), Murder Drones (Web Series), The Stanley Parable, Rain World (Video Game), Super Mario Bros. (Video Games), Hollow Knight (Video Games), Animated Inanimate Battle (Web Series), Paper Puppets Take 2 (Web Series), Terraria, Centaurworld (Cartoon 2021), Adventure Forward Series (Roblox), PHIGHTING! (Roblox), Spider-Man - All Media Types, and more that i cant tag Rating: Teen And Up Audiences Warnings: Creator Chose Not To Use Archive Warnings Characters: Blocky (Battle For Dream Island), The Boss | Blixer (Just Shapes & Beats), King Dedede, Red (Among Us), Sundew (Wings of Fire), Squid (Will You Snail?), Woodie (Don't Starve), Lucy (Don't Starve), Blue (Animator vs. Animation), Charles Calvin, Charlie the Unicorn (Charlie the Unicorn), Enderman (Minecraft), Hyehehe (My Singing Monsters), Science Bear (Bee Swarm Simulator), Test Tube (Inanimate Insanity), Warrior (Dicey Dungeons), Scenty | Amelia Euler, Flowey (Undertale), Goloog | Golurk, Kris (Deltarune), N (Murder Drones), Pizza Steve (Uncle Grandpa), Stanley (The Stanley Parable), The Narrator (The Stanley Parable), Wheatley (Portal), The Artificer (Rain World), Bill Cipher, Bowser (Nintendo), The Knight (Hollow Knight), Nacho (Animated Inanimate Battle), Plasma Ball (Paper Puppets Take 2), Sheldon J. Plankton, Torch God (Terraria), Carl (Llamas with Hats), Donkey (Shrek), Glendale (Centaurworld), King Julien XIII, The Lamb (Cult of the Lamb), Ploque (Adventure Forward), Rocket (Roblox: Phighting!), Spider-Ham (Spider-Man), Nikoly (Espacio Mining) Additional Tags: Reader-Interactive, YOU vote who you want out, Game Shows read it on AO3 at https://archiveofourown.org/works/49286113
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brilliantweb3 · 9 months
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DeFi is so much more than just ‘number go up’: It’s a renaissance
Just a few short years ago, the allure of double-digit and even higher yields was irresistible. 
But since late 2022, these returns have taken on a new light — they’re too often viewed by skeptics as a potential red flag and a harbinger of risk and instability, rather than the enticing red carpet they once were.
To those skeptics and critics, I say: I still firmly believe DeFi yield will continue to be a vital category. It’s more than just presenting an appealing number — it’s an essential cog in the machinery of most protocols. 
That yield strengthens governance, fuels liquidity provision and increases protocol security; proving that it’s not just yield for yield’s sake, but a direct result of technological advancements that improve capital efficiency. 
This stands true even in the face of recent adversities. This would include the Euler hack of $200 million (eventually returned), or the Iron Bank incident that saw Alpha Homora’s users’ funds held hostage in an attempt to offset bad debt.
While DeFi’s recovery may not necessarily take the form of the eye-watering APY users have grown accustomed to, it offers a more sustainable solution and a chance for broader participation. Some users may be fine with taking the risk. However, the focus is gradually shifting from chasing astronomical returns to more calculated strategies, creating opportunities for a larger demographic and financial inclusion. 
DeFi is poised to have a renaissance in 2023.
Demonstrated resilience in the face of challenges
Acknowledging the undeniable resilience of DeFi is crucial, as it isn’t just another catchphrase in the crypto world; It’s a vital component to crypto’s survival. 
Evidence of this dependency can be seen in the events of 2022, wherein centralized entities imploded while DeFi held strong. Numerous projects such as Rocket Pool and Sonne pushed forward, using the so-called “crypto winter” that followed as a learning experience to refine their proposition and open up new opportunities to users. 
It is during times of turbulence that we, as a community, are given the chance to refine our strategies, reassess our priorities and consolidate our strengths. These challenges serve as the proving grounds for the next generation and enable us to step up and showcase an alternative future that’s decentralized.
Emergence of liquid staking derivatives
A significant factor in helping weather the storm of 2022 has been the rise of liquid staking derivatives. LSDs saw substantial growth during this period thanks to the promise of the Shapella upgrade — 4.3 million ETH deposited — despite the market sentiment.
Major contributors such as Lido were able to alleviate concerns through user-friendly and low-barrier-to-entry approaches, promoting more sustainable yield that remained liquid.
Read more from our opinion section: It’s a total fool’s errand to regulate NFTs right now
This very process not only gained trust quickly, but also opened the doors wide, enabling anyone with a small amount of capital and slightly less-than-total-degen technical sophistication to participate. 
In this new world, geography is irrelevant. Your location or background doesn’t dictate your ability to earn returns.
Coinbase’s cbETH, with its 2.2 billion TVL, is evidence of this shift. It signals a growing acknowledgment of an inclusive financial future where anyone can participate and reap rewards.
The promise of layer-2 solutions in finding yield
Layer-2 solutions have been nothing short of transformative in their impact on the DeFi landscape. For years, Ethereum’s transaction fees have been a barrier, hindering accessibility and usability for many DeFi participants. However, the emergence of layer-2 solutions has revealed a world of untapped possibilities. These solutions offer significantly lower fees and faster transaction speeds, outperforming the limitations of mainnet, and provide a perfect environment for LSDs to become more inclusive.
These improvements, however, are not just about outperforming mainnet’s limitations; they are about forging a new path to universal access. Layer-2 solutions provide the perfect launchpad for anyone, irrespective of their location, to engage with DeFi. 
Even those who were previously shut out by high costs can now participate and try their hand at various strategies. Should they decide to bow out, they still gain the invaluable experience of navigating a world that was previously inaccessible to them.
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