iteration

“Hey, look at this old thing I found! Is it true that all humans have skeletons inside of them? That’s so silly. I mean a skeleton is there to protect you, isn’t it? How does that work if it’s inside you? Does that make sense to you? You’re so squishy…Hey, if I ripped you open, do you think your skull would look the same as this one?”

——–
That Ambrosia…always so inquisitive.

——-
Also tagging this particular iteration of “humanized” with “bug elf” from now on.

Me: I was shocked when we were shown the real Adam. I want to make an AU fanfic to make him more sympathetic and not at all abusive so that some people can find an iteration of the character more similar to the one they had since the Black Trailer.

Some people’s children: Um sweaty :) You are clearly romanticizing an abusive relationship with an abusive individual

Me: Death approaches 

Star Wars Fic Rec

Reprise by Elfpen (64,948 WiP) 

Rating: PG-13

Pairing: N/A

Author’s Summary:  Ben Kenobi dies aboard the Death Star in the year 0 BBY. He wakes up shortly thereafter in the Jedi temple in the year 41 BBY. Haunted by memories and regret, Ben must forge a new path for himself in the Jedi Order of his youth while navigating the murky waters of time travel. Crafting a better future from bitter experience is hard, but learning to heal is even harder. Major AU.

Rec Notes: It can be hard to find a good, solidly written, time-travel fic. But this one is a goldmine, and manages to pull away from the cliche (which I admittedly love anyway…) and do things differently. Everything here is wonderful, from the writing to the characterization, and I ABSOLUTELY ADORE this iteration of Obi-Wan. For this fic, I suggest running, not walking, to read it.

Feel: like aged rum. Smooth and interesting, and a little spicy. It is solid and engrossing. Will make you want to read it all over again, and again.

theannoyingalien asked:

What kind of OCs do you have? :)

It didn’t occur to me that when I suggested that people ask me about my OCs that a lot of my followers don’t know ANYTHING AT ALL about them so, here we go, OC masterpost:

Volker and Sherman, probably the oldest OCs I have that I still draw. I’m pretty sure I came up with them in 9th grade. Maybe 8th. Their storyline has changed many times, but in it’s current iteration it centers around their lives growing up in 50s/60s Florida. They both originally had historically based last names but I got rid of those, so their new last names are currently under construction lmao.

Volker

  • He’s German, his family moved to the US some time close to the end of / shortly after WWII (although…again details might change on this).
  • Often pretends he’s not actually German (he’ll say he’s either Swiss or Swedish depending on who he’s talking to; no one really buys it).
  • His name is often mispronounced “VOL-ker” instead of the correct “FOL-ker.” He hates both. 
  • Has one younger brother, Lothar.
  • Always very formally dressed (and like former astronaut John Young, he wears those stupid turtlenecks in the Florida sun. How ?? ? ??).

Sherman

  • American af
  • Has two siblings, an older brother Ulysses and a younger sister Savannah (these Civil War related names made MUCH more contextual sense in the very earliest version of the story and although they now make next to none, I am too used to them to change them).
  • Never seen without that bandaid on his cheek, Volker often speculates as to why.

The place is Arista, New Mexico. The year is 1965. The month is August. Flannery’s family moves all the way from an apartment in NYC to the house next door to Gene’s. School starts. Construction is finished on Arista Atomic Generating Station’s second reactor. Rumors fly about communist spies infiltrating the city. On the 22nd of the month, something finally snaps in the town.

Gene Shepard

  • He’s 12 lmao
  • Tired of small town life, entranced with the fact that Flannery is from New York. This is super lame but I always imagine the story starting out (if it were movie this would be the first scene) with Gene sitting in front a fan in his room, softly singing along to “New York, New York” - specifically that line that’s like “these little town blues are melting away / I’m gonna make a brand new start of it / in old New York / and if I can make it there / I’m gonna make it anywhere” and right as it gets to the climax of “It’s up to you, New York, New York” his mom interrupts and calls him downstairs, saying they have to go welcome their new neighbors (Flannery’s family).
  • Tired in general, but weirdly optimistic? He’s sick of the heat and the dust and the same old people in the same old town, but he’s too young to be fully jaded by it.
  • Spent the whole summer working to save up to order a kit to build a remote controlled airplane.
  • Name Origins: Gene Cernan // Alan Shepard (two astronauts - Flannery thinks this coincidence is hella cool).

Flannery Fitzgerald

  • Also 12
  • She’s beauty, she’s grace, she’s obsessed with space.
  • Very much wants to be an astronaut, even though everyone is like “???? but you’re a girl???”
  • Doesn’t mind Arista but wishes her parents had moved to Florida instead, so she could be “closer to the action.”
  • Asks Gene to watch the launch of Gemini V with her.
  • Favorite color is red.
  • Her dad works for the Atomic Energy Commission.
  • Name Origins: Flannery O’Connor // F. Scott Fitzgerald. Usually I don’t explicitly mention characters’ name origins in the story, or put my naming ideas into the mouths of their parents, but when Gene visits Flannery’s house, he sees something by O’Connor on a bookshelf. This is contrasted with Flannery mentioning later on that her parents “have this love-hate relationship with the South” and that they’ll “never cross the Mason-Dixon line.’”

This next story started out as something entirely different (it was about these two living in a bunker after some sort of unspecified nuclear disaster), and then I was like “what if college AU though” and that idea became the actual story. It takes place like, 15 or so years in the future and is supposed to be a comedy. Even in this new version, there was originally a larger overarching theme of capitalism’s role in environmental destruction and a plot arc which involved Julian and Colbie going to Antarctica, but I’m not sure if that will stay or not.

Julian Rockefeller

  • Although in the most current version of the story he is an actual member of the notorious Rockefeller family, he didn’t start out that way. AT ALL. At it’s inception his character was based on J. Robert Oppenheimer, my Historical Fav™ and I wanted the initials “JRO” to somehow be part of his name, so that’s how you get Julian ROckfeller. 
  • The “J” in Oppenheimer’s name apparently (there is debate) stood for Julius and the fact that there was a series of nuclear tests called “Operation Julin” (which I mis-remembered as Julian) are additional reasons for his first name being what it is.
  • An art history major
  • Trying to be Cool™ and not the stuffy, snobby person people would expect him to be.
  • Still needs to Check his Privilege™ tho
  • Has an aesthetic blog
  • plays Pokemon
  • kind of a crybaby

Colbie Ivy (sorry I don’t have any good drawings of her)

  • Name Origins: Her name also comes from two nuclear tests, Colby (part of Operation Anvil) and Operation Ivy.
  • Julian’s roommmate (a girl and a boy living together? ? whAT?)
  • A political science/sociology double major 
  • A coMMUNIST???
  • Likes spicy foods.

anonymous asked:

I know the writers are shit but do you think the writers are purposely making SE mean about action to throw us off

This is what I think. I think KW had a more direct hand in seasons 1-3 when Stelena was still the core couple of the show and his writing put Stelena’s love in action because they were a fundamental aspect of the show, the anchor, the core, if they didn’t work then there would be no series,. Literally. Stefan and Elena had to work. And then JP took over and it was all about DE but because SE is so rooted in action, like 66 episodes worth of action, I think it’s kind of impossible to not write SE in action because it’s all right there and I don’t think she’s aware of how much she confirms and reconfirms the solidity of SE. At the same time, I do think that she makes it a point to have the characters iterate and reiterate that Elena is better off with Stefan only to have her choose Damon because it’s supposed to signal how much she loves Damon, that she’s willing to choose the man who’s bad for her because she can’t not love him but I think she does this purposefully through dialogue which is why you had Tessa like DESTINY and Katherine like SHE STILL LOVES HIM and Kai like AS A HUMAN IT WAS STEFAN but it’s all still very verbal and superficial, I don’t think she realizes to the extent how much SE surpasses DE even in scenes specifically meant for DE to surpass SE.

A new session of Rawness of Remembering: Restorative Journaling Through Difficult Times will be opening up in the next month or so–a live session with a corresponding live Facebook group and lots of attention from me. This new iteration of the program is for folks who can use more support; in the meantime, if you’re interested in a slightly lower price and in going through it at your own pace, it’s currently still available as a self-paced class (link in profile). My own journaling habits have been wild and prolific lately. I come to the page ready to dig deep and hoping to reach new understandings; meanwhile, the C-PTSD I’ve been living with since 2014 has calmed way down. I believe in this work. I really do. #journal #journaling #ptsd #cptsd #rawness #pengems by esmewwang http://ift.tt/1Kh7Qjm

3

STEINER SCAFFOLDING
Examples of Steiner Chain Orbit Trap Fractals

Steps in the Creation of a Fractal Image
(as explained by a fractal software designer)

  • evaluating a complex equation
    or performing a sequence of instructions;
  • feeding the results back into the equation over and over again;
  • during this iteration, accumulating statistics;
  • finally, mapping the resulting data to colors, creating the fractal image.

By varying the equation or the instructions, you can create Mandelbrot Fractals, Orbital Fractals, L-System Fractals, Orbit Traps, and so on. (

SourceFractal Science Kit)

Riemann zeta function: some fractal-like patterns from iteration

The next series of posts relates to some observations on the Riemann zeta function.

Specifically, I will be posting images of some interesting fractal-like patterns that arise from iterating the function. These patterns are not based on any Mandelbrot or Julia sets of the Riemann zeta function; these have already been investigated extensively by proper mathematicians (see links below).

First, some background.

The Riemann Zeta Function, ζ(s) for complex values of s, is the analytic continuation of the following infinite series:



The function is defined for all values of s, other than a simple pole at s = 1.

The function is believed to have an infinite number of fixed points where  ζ(s) = s, but only one of these is known to be an “attractor”, such that, given a starting value of s in the neighbourhood of the attractor point, iteration of the function converges on that point.

The first 28 digits of the value of s at the known attractor fixed point are as follows:

-0.2959050055752139556472378311…

For any starting value of s, the iteration of ζ(s) leads to one of two results, either:

  • the imaginary part of ζ(s), if any, vanishes and the real part converges on the attractor point; or
  • the real part of s eventually becomes greater than 1 (which defines a half plane where the Riemann zeta function is known to converge to 1), such that ζ(s) = 1, and the next iteration, which requires the calculation of ζ(1), results in an error due to the pole

Of course, in the former case, the number of iterations required for ζ(s) to achieve parity with the value of the attractor fixed point depends to some extent on the precision chosen for the calculation of ζ(s). Typically, in my experience, fewer significant figures of precision for the starting values of s that fall within the attractor point’s basin of attraction means a faster convergence and, consequently, a less detailed map.

Observations indicate that the number of iterations of ζ(s) required to achieve one of the results referred to above varies subtly with the starting value of s.

It is a trivial exercise to construct a surface map covering a specific region of the complex plane wherein each point on the map, corresponding to a starting value of s, is coloured according to the number of iterations required before that starting value of s either maps to the attractor fixed point with the requisite level of precision, or produces the error result.

Unlike earlier researchers (e.g. L. C. Woon, Chris King and Larry Tingen), I have not attempted to generate any formal Mandelbrot or Julia sets of the Riemann zeta function; I have simply coloured the maps according to the number of iterations required to produce a result.

In this series of posts, each value of ζ(s) was calculated using PARI/GP, a specialised computer algebra system used in number theory computations, with the results being saved to CSV files. The coloured surface maps were generated using a custom application written in Visual Basic 2010 Express.

The resultant surface maps exhibit interesting fractal-like properties with prominent features at or near each of the following starting values of s:

  • 0
  • 1
  • the attractor fixed point at s =  -0.295905005…
  • the repeller fixed point at s = 1.833772652…
  • the trivial zeros of ζ(s)
  • the non-trivial zeros of ζ(s)

For example, the following image shows a coloured surface map for the region of the complex plane between -1 ≤ Re(s) ≤ 2.5 and -2 ≤ Im(s) ≤ 2 with a resolution of 0.01 and a precision of 15 decimal places, resulting in 140,751 plotted points in 72 different colours:


Clay Play

 

Why?
Play and experimentation have proven to be a crucial part of learning. There are many ways to “make clay”, and the opportunities for iteration and experimentation provide the perfect framework for learning through play. Of course, the good stuff simply comes right out of the ground, but sculptors and builders alike utilize synthetics (like plaster, cement, or other modeling compounds) for getting the job done. Many recipes exist for making your own clay, and varying ingredients can have a wide range of results. Try a few different recipes, tweak ratios, and invent your ideal modeling material. 

What else?
Playing with clay can lead to all sorts of new theories on matter. Consider how many ways you can manipulate ingredients to come up with a new substance. More curriculum connectors can be found here.

Riemann zeta function: correlations between the properties of the local maxima of the Riemann-Siegel Z function and the properties of some fractal features

In my previous post I provided some initial evidence of a remarkable correlation between the number, position and relative size of the major butterflies of the fractal formed from iteration of the Riemann zeta function, and the number, position and relative amplitude of the maxima of the Riemann-Siegel Z function.

I promised to provide further evidence for the correlation by showing a map of a region of the fractal at a height of around 2447i where there is a particularly large butterfly sandwiched between two particularly tiny butterflies, a configuration reflected in the corresponding section of the graph of the Riemann-Siegel Z function.

Here is the image: