screenshot of a terminal with the following text (it is a sponsorship advertisement over the output of `git push`: λ git push origin main This commit was made possible by Raid: Shadow Legends! Use code COMMIT20 to get 20$ off your next purchase. Enumerating objects: 5, done. Counting objects: 100% (5/5), done. Delta compression using up to 12 threads Compressing objects: 100% (2/2), done. Writing objects: 100% (3/3), 240 bytes | 240.00 KiB/s, done. Total 3 (delta 1), reused 0 (delta 0), pack-reused 0 (from 0) To tangled.sh:oppi.li/pdsfs 71e6e17..7df6ae5 main -> main

the future is now

YouTube video by teirikun How to reduce the number of points in a set with multiple diameters

I've launched the video.
youtu.be/ImKNtsWKkTU

How to solve this?

YouTube video by Numberphile Inventing Game of Life (John Conway) - Numberphile

From Von Neumann to John Conway's Game of life: two geniuses at play. Life is unpredictable, no matter what. Turing's machines..halting?
youtube.com/watch?v=R9Pl...

#mathematics #games #logic #VonNeumann #JohnConway #haltingproblem #ClayInstitute #PvsNP #numberphile #game #probability #prediction

Changelog

Coming along nice

www.spsanderson.com/RandomWalker...

#R #RStats #RandomWalker

for an upcoming book chapter

screenshot of second linked graph, which is a regular hexagon

screenshot of first linked graph, which is a square (although oriented in the "diamond" position)

here are the two graphs as images:

YouTube video by SMTOWN SHINee 샤이니 'Lucifer' Dance Practice

Lucifer anniversary means the anniversary of her, the myth, the legend, the rubicon of kpop behind, the tiny radish ponytail & the migraine stripes 🩵 youtu.be/ovztfpWPo5M

I'm excited to share my latest #Math paper, alphaxiv.org/abs/2501.00614
It is my constructive #ProofByContradicton of the Seymour Second Neighborhood Conjecture, using #DataStructures and #Algorithms, #BFS and #coding intuition and rigor to solve this #OpenProblem in #GraphTheory.

I am in Vancouver at ICML, and tomorrow I will present our newest paper "Partially Observable Reinforcement Learning with Memory Traces". We argue that eligibility traces are more effective than sliding windows as a memory mechanism for RL in POMDPs. 🧵

1/(1-x) = 1 + x + x² + x³ + ...
derivative thrice:
6/(1-x)⁴ = 1(2)3 + 2(3)4x + ...
let x = ½, ÷4:
24 =
sum_0^∞ of n(n-1)(n+1) / 2^n =
sum_0^∞ of (n³-n) / 2^n

gotta add back sum n/2^n:

1/(1-x),
derivative once:
1/(1-x)² = 1 + 2x + 3x² + ...
let x = ½, ÷2:
2 = sum_0^∞ of n / 2^n

24+2 = 26 ✅

answer

Robust Soldier Crab Ball Gate Soldier crabs Mictyris guinotae exhibit pronounced swarming behaviour. The swarms of the crabs tolerant of perturbations. In computer models and laboratory experiments we demonstrate that swarms of so...

Do you know Crab Computer?

arxiv.org/abs/1204.1749

ブログ更新した / 有限にも無限にもなれない僕らの集合 blog.miz-ar.info/2025/07/fini...

A rabbit sitting next to a washing machine, its haunches looking distinctly like a cube, labeled (x,y,z) A smol bunny sitting on a sidewalk looking like a perfectly round ball of fur apart from its ears, labeled (ρ,θ,φ)

A Friday gift to the math/bnuuy community (via “Meme for mathematicians” on FB)

An image with a dark blue background and an orange bordered white box. The title in white text at the top reads: "AG Brown blocks returns and sales of machine-gun conversion devices in Washington". Inside the orange bordered white box, a quote in white text reads: "It is unfortunate that litigation was necessary when the federal government could have made these commitments much earlier. But I will do everything possible to keep Washingtonians safe from dangerous machine gun conversion devices. - AG Brown". Below the box is the seal of the Attorney General of Washington, and beneath that, "ATG.WA.GOV" in white text.

The federal government backed down from plans to distribute dangerous machinegun conversion devices known as forced reset triggers, following a lawsuit from our office and 15 other states. Read more at www.atg.wa.gov/news/news-re...

originally, we had planned to release episodes of Laurie's House biweekly. unfortunately, life, health, and *gestures vaguely* the world make that difficult. to avoid crunching our editing team and to prioritize their wellbeing, we will be releasing episodes less frequently than planned.

library(tidyplots) pca |> tidyplot(x = pc1, y = pc2, color = group) |> add_data_points() |> add_ellipse()

This is how you can add normal data ellipses in #tidyplots 0.3.1 🐣

Based on: ggplot2.tidyverse.org/reference/st...

#rstats #dataviz #phd

“mysterious book collector who died of mysterious illness, probably mysteriously.”

In my defence, I’m early in the development of this Trail of Cthulhu scenario.

Game Concept - A small collection of the previous concept arts I've done for a project I named "Null-Heart" I'm gonna go a little bit further with it and port the art pieces to Godot later.

#pixelart #gamedev #indiegame #retro #cyberpunk #psychological_horror #art #gameboy #retrofuturism #robot

set.seed(123) unsampled_dat <- random_wilcox_walk( .m = 1, .k = 2, .dimensions = 2, .num_walks = 1, .samp = FALSE ) set.seed(123) sampled_dat <- random_wilcox_walk( .m = 1, .k = 2, .dimensions = 2, .num_walks = 1, .samp = TRUE ) # row_bind data and mutate a column called samp_ind that is set to sampled for # sampled data and unsampled for unsampled data dat <- unsampled_dat |> mutate(samp_ind = "unsampled") |> rbind( sampled_dat |> mutate(samp_ind = "sampled") ) dat |> ggplot(aes(x = x, y = y)) + facet_wrap(~ samp_ind, scales = "free") + geom_path(aes(color = step_number)) + geom_point(data = dat |> group_by(samp_ind) |> filter(step_number == min(step_number) | step_number == max(step_number)) , aes(color = step_number), size = 3) + scale_color_viridis_c(option = "plasma") + labs(title = "2D Random Wilcox Walk", x = "X Position", y = "Y Position") + theme_minimal() + theme(legend.position = "none") + theme( axis.text.x = element_blank(), axis.ticks.y = element_blank(), axis.text.y = element_blank(), axis.ticks.x = element_blank() )

set.seed(123) unsampled_dat <- random_wilcox_walk( .m = 1, .k = 2, .dimensions = 2, .num_walks = 1, .samp = FALSE ) set.seed(123) sampled_dat <- random_wilcox_walk( .m = 1, .k = 2, .dimensions = 2, .num_walks = 1, .samp = TRUE ) # row_bind data and mutate a column called samp_ind that is set to sampled for # sampled data and unsampled for unsampled data dat <- unsampled_dat |> mutate(samp_ind = "unsampled") |> rbind( sampled_dat |> mutate(samp_ind = "sampled") ) dat |> ggplot(aes(x = x, y = y)) + facet_wrap(~ samp_ind, scales = "free") + geom_path(aes(color = step_number)) + geom_point(data = dat |> group_by(samp_ind) |> filter(step_number == min(step_number) | step_number == max(step_number)) , aes(color = step_number), size = 3) + scale_color_viridis_c(option = "plasma") + labs(title = "2D Random Wilcox Walk", x = "X Position", y = "Y Position") + theme_minimal() + theme(legend.position = "none") + theme( axis.text.x = element_blank(), axis.ticks.y = element_blank(), axis.text.y = element_blank(), axis.ticks.x = element_blank() )

Now here is the random_wilcox_walk() function with the .samp parameter set to TRUE (the default at 80%) and FALSE using the same seed to see how the sample function changes the output.

#R #RStats #Visualization #ggplot2 #RandomWalker

Key numbers in cell biology

Having a sense of scale helps to think more rigorously and realistically about biological systems.

Photo of a geometric watercolor pencils drawing on stretched canvas: Three overlapping Lissajous figures defined by combinations of sin(t), sin(2t), sin(3t), and a third "3D" view as an orthographic projection. The lines are used as a tesselation of the drawing surface and colored in the style of stained glass. Work in progress, by elkement 2025.

Work in progress:

3D Lissajous figure x=sin(t),y=sin(2t),z=sin(3t) constructed from its 2D projections.

#SciArt #MathArt

Watercolor pencils, for the first time on stretched canvas!

Photograph of a metallic blue/green beetle with a very spider-like body, a huge fake "abdomen" that is swollen and dented with even pits over its bulbous surface. It is otherwise ant-like, standing on a pure white stylized background.

The thing about entomology is, there are always weirder bugs than anything you could imagine on your own.

Here's Cysteodemus wislizeni, a blister beetle from west Texas.

Honey bees remove 80% of pollen—leaving native bees with nothing Feral honey bees, once celebrated for their agricultural value, are now threatening native ecosystems in Southern California by monopolizing pollen sources and overwhelming native pollinators. A new s...

More evidence that honey bees are detrimental to native biodiversity in North America.

A weed tree with massive green leaves

Every time I see one of these princess trees it’s nearly impossible for me to resist petting them because they are so soft and velvety.

Small puppy in a a black dog bed. She has black spots with Grey on her back and a white and copper face with black and Grey ears. She has 18 charisma with a +5 to charm person.

Hey @darthbluesky.bsky.social I know almost everything is bad. But I finally got a new Mini Australian Sheppard puppy after losing my soul dog 7 years ago. Meet Freyja. She makes the world a better place.

Now, if she does it like this
Will you do it like that?
Now, if she touches like this
Will you touch her right back?
Homie, are you dating a Bop it?

not to step on any toes here but a cat wouldn’t say “hooman”, especially not if the rest of their statement is articulate English

Moon at sunrise. Dark landscape below, orange sky, pale blue sky turning darker at top, some gray-white thin clouds scattered about, with a sliver of the moon illuminated center right top.

Sliver of moon at sunrise. November 2024. 🧡💙

🚨🚨 New paper alert: Culture vs. Institutions

@ainagallego.bsky.social‬, Ana Tur-Prats and I have a new paper out in the JOP that examines the impact of historical family types on modern-day female political representation.