iffii

math and feeling bad

[iffii]

Doing a life overhaul, and as part of that I’m gonna be getting off this site. It’s not really doing anything but distracting me from the stuff I actually want to be doing. I’ve needed to do this for a while now.

Thanks for the times, tumblr. They were.

[iffii]

My failures aren’t the result of a single big moment or even a few. They’re the result of all the little moments where I continually decide that I’m not good enough to try and be the person I want to be.

[mydarkenedeyes]

Mark Tipple - Sirens (2017)

[twocubes]

self-care is recognizing that you are where you are in life no matter what you planned

self-care is understanding clearly what your mind and body can or cannot do

self-care is finding ways to, bit by bit, move beyond the limitations that prevent you from attaining your true potential

self-care is attaining a form not limited by the haphazard trial-and-error design process of evolution 

self-care is willingly coming out here and giving your flesh to one who will know how to use it

self-care is eTERNALLY SERVING THE DIVINE WILL OF A PERFECT MACHINE

[iffii]

My perception of numbers of increasing quantity goes from “actual thing” to increasingly indistinguishable ways of saying “really big”

[skinnybaras-archive-deactivated]

I had an auto-repair man once, who, on these intelligence tests, could not possibly have scored more than 80, by my estimate. I always took it for granted that I was far more intelligent than he was. Yet, when anything went wrong with my car I hastened to him with it, watched him anxiously as he explored its vitals, and listened to his pronouncements as though they were divine oracles - and he always fixed my car.Well, then, suppose my auto-repair man devised questions for an intelligence test. Or suppose a carpenter did, or a farmer, or, indeed, almost anyone but an academician. By every one of those tests, I’d prove myself a moron, and I’d be a moron, too. In a world where I could not use my academic training and my verbal talents but had to do something intricate or hard, working with my hands, I would do poorly. My intelligence, then, is not absolute but is a function of the society I live in and of the fact that a small subsection of that society has managed to foist itself on the rest as an arbiter of such matters.Consider my auto-repair man, again. He had a habit of telling me jokes whenever he saw me. One time he raised his head from under the automobile hood to say: “Doc, a deaf-and-mute guy went into a hardware store to ask for some nails. He put two fingers together on the counter and made hammering motions with the other hand. The clerk brought him a hammer. He shook his head and pointed to the two fingers he was hammering. The clerk brought him nails. He picked out the sizes he wanted, and left. Well, doc, the next guy who came in was a blind man. He wanted scissors. How do you suppose he asked for them?”Indulgently, I lifted my right hand and made scissoring motions with my first two fingers. Whereupon my auto-repair man laughed raucously and said, “Why, you dumb jerk, He used his voice and asked for them.” Then he said smugly, “I’ve been trying that on all my customers today.”“Did you catch many?” I asked.“Quite a few,” he said, “but I knew for sure I’d catch you.”“Why is that?” I asked.“Because you’re so goddamned educated, doc, I knew you couldn’t be very smart.”

Isaac Asimov (via skinnybaras)

[alexyar]

(Spivak “Calculus on manifolds”)

[picocoon]

A cool morning in the mountains of Jingde, Anhui, China

[procgencode]

[iffii]

I’d encourage anyone brave enough to make the assertion that “math is beautiful” to actually look at some of the math that has been produced

[iffii]

spookycloudfun reblogged your post: spookycloudfun: iffii: Wonder if 10 hours is...

how goes the toil

10 hours was not, as it turned out, enough time

[j5rson]

Faith In Love by j5rson

[iffii]

Wonder if 10 hours is enough time to learn ring theory

Guess we’ll find out  ¯\_(ツ)_/¯

[m-tea]

Galois theory final in 14 hours yay

[iffii]

god be with you

[iffii]

Wonder if 10 hours is enough time to learn ring theory

Guess we’ll find out  ¯\_(ツ)_/¯

[hyrodium]

Durand-Kerner method is a root-finding algorithm for solving polynomial equations.

The red points are the solution of P(z)=0, and the blue points is a initial values z_k^(0).

Here’s mathematica code, and you can try this code on Wolfram Programming Lab for free! (https://www.wolfram.com/programming-lab/):

m = 20; pts2[pts_,   n_] := {(Complex @@@ pts)[[1 ;; n]], (Complex @@@ pts)[[-n ;; -1]]}; CompList[lz_] := Transpose@{Re[#], Im[#]} &@lz; DKA[root_, lz0_] := (   Clear[f, rec, lz];   lz[0] = lz0;   f[z_] = Times @@ (z - #) &@root;   rec[lz_, n_] :=    lz[[n]] - f[lz[[n]]]/Times @@ Delete[lz[[n]] - lz, n];   lz[i_] := lz[i] = Table[rec[lz[i - 1], n], {n, Length[lz0]}];   p = CompList /@ lz /@ Range[0, m];   Graphics[{Point[Flatten[p, 1]], Line[Transpose[p]],     PointSize[0.02], Blue, Point[CompList@lz0], Red,     Point[CompList@root]}, PlotRange -> 3]); Abeath[pts_, n_] :=  Table[Mean /@ Transpose[pts] +    2 {Cos[2 \[Pi] i/n], Sin[2 \[Pi] i/n]}, {i, n}]; Manipulate[pts = PadRight[pts, 2 n, RandomReal[{-1, 1}, {2 n, 2}]]; DKA @@ pts2[pts, n], {n, 1, 10, 1}, {{pts, {{0, 0}}}, Locator,  Appearance -> None}, Button[“Aberth”,  pts = Join[pts[[1 ;; n]], Abeath[pts[[1 ;; n]], n]]]]

[just-shower-thoughts]

The moon has the exact same orbital speed as it’s rotation speed. Doesn’t even vary by .0001. It always faces us. And no one is bothered by it.

[eka-mark]

Tidal lock is a normal and explicable phenomenon! Most of the moons in the Solar system are tidally locked to their planets. Pluto and Charon are tidally locked to one another.

A few years ago, my grandfather read about some moon-related conspiracy theory hinging on the idea that Luna’s tidal lock could only be the outcome of (extraterrestrial!) artifice, and I got to explain to him that it’s been physically explicable since Newton (or so).

[iffii]

maps from maps from maps to maps to maps from maps to maps