graveolensa

graveolensa, 6 days ago to random

https://arxiv.org/abs/2308.13750
/Quantifying Inequities and Documenting Elitism in PhD-granting Mathematical Sciences Departments in the United States/

Ron Buckmire, Carrie Diaz Eaton, Joseph E. Hibdon Jr., Jakini Kauba, Drew Lewis, Omayra Ortega, José L. Pabón, Rachel Roca, Andrés R. Vindas-Meléndez, Sam Zhang

abstract:
In this paper we provide an example of the application of quantitative techniques, tools, and topics from mathematics and data science to analyze the mathematics community itself in order to quantify inequity and document elitism. This work is a contribution to the new and growing field recently termed "mathematics of Mathematics," or "MetaMath." Our goal is to rebut, rebuke, and refute the idea that the mathematical sciences in the United States is a meritocracy by using data science and quantitative analysis. Using research and data about PhD-granting institutions in the United States, we quantify, document, and highlight inequities in departments at U.S. institutions of higher education that produce PhDs in the mathematical sciences. Specifically, we determine that a small fraction of mathematical sciences departments receive a large majority of federal funding awarded to support mathematics in the United States and that women are dramatically underrepresented in these departments. Additionally, we quantify the extent to which women are underrepresented in almost all mathematical sciences PhD-granting institutions in the United States.

---

(I know it's a replacement)

graveolensa, 15 days ago to random

image/png
image/png

graveolensa, 1 month ago to random

image/png
image/png
image/png

graveolensa, 1 month ago to random

graveolensa, 1 month ago to random

(a little under the weather at the moment)

graveolensa, 3 months ago to random

image/png

graveolensa, 3 months ago to random

graveolensa, 4 months ago to random

image/png
image/png

graveolensa, 4 months ago to random

psylxa[X_] :=
{ColorConvert[
Hue[Arg[X]/(2Pi), 1,
1], "RGB"][[1]],
ColorConvert[
Hue[Arg[X]/(2Pi), 1,
1], "RGB"][[2]],
ColorConvert[
Hue[Arg[X]/(2Pi), 1,
1], "RGB"][[3]]};
tsylxe[X_] := RGBColor[
X[[1]], X[[2]], X[[3]]];
tsylxe[psylxa[
Exp[IN[Mod[Im[ZetaZero[
4]], 2Pi], 20]]]];
Show[Table[Graphics[
{tsylxe[psylxa[
Exp[IN[Mod[
Im[ZetaZero[n]],
2Pi], 20]]]],
Disk[Sqrt[n]ReIm[
Exp[2PiI*
(n/GoldenRatio)]],
3/4]}], {n, 1, 8192}],
Background -> Black]

graveolensa, 4 months ago to random

image/png

graveolensa, 4 months ago to random

some strange variation on the blue sky catastrophe, perhaps (http://www.scholarpedia.org/article/Blue-sky_catastrophe)

image/png
image/png
image/png

graveolensa, 4 months ago to random

@henrycohn @ThetaHedgie @Maryamization @jenfns @busparbarz @davidlowryduda @anton_hilado @ykonstant @Breakfastisready :

https://arxiv.org/abs/2401.05419
/On a problem of Han and Chen concerning truncated hypergeometric series for 1/π/
Lorenz Milla, Chao-Ping Chen

https://arxiv.org/abs/2401.05581
/Heron triangles and the hunt for unicorns/
Andrew N.W. Hone

https://arxiv.org/abs/2401.05729
/Multiple Dirichlet series associated with quadrics/
Jun Wen

https://arxiv.org/abs/2401.05853
/A conjecture of Zhi-Wei Sun on determinants of certain Legendre matrices/
Li-Yuan Wang, Hai-Liang Wu

https://arxiv.org/abs/2401.05927
/On tamely ramified infinite Galois extensions/
Farshid Hajir, Michael Larsen, Christian Maire, Ravi Ramakrishna

https://arxiv.org/abs/2401.06100
/Special values of p-adic L-functions and Iwasawa λ-invariants of Dirichlet characters/
Heiko Knospe

https://arxiv.org/abs/2401.06107
/Variation of the Hausdorff dimension and degenerations of Schottky groups/
Nguyen-Bac Dang, Vlerë Mehmeti

graveolensa, 4 months ago to random

graveolensa, 4 months ago to random

@futurebird : https://www.sciencenews.org/article/ant-face-patterns-practical-value

graveolensa, 5 months ago to random

image/png
image/png
image/png

graveolensa, 5 months ago to random

something about interlinking loops in the limit structure?

graveolensa, 5 months ago to random

https://arxiv.org/abs/2312.02799
/Conway's Game of Life is Omniperiodic/

Nico Brown, Carson Cheng, Tanner Jacobi, Maia Karpovich, Matthias Merzenich, David Raucci, Mitchell Riley

Abstract: In the theory of cellular automata, an oscillator is a pattern that repeats itself after a fixed number of generations; that number is called its period. A cellular automaton is called omniperiodic if there exist oscillators of all periods. At the turn of the millennium, only twelve oscillator periods remained to be found in Conway's Game of Life. The search has finally ended, with the discovery of oscillators having the final two periods, 19 and 41, proving that Life is omniperiodic. Besides filling in the missing periods, we give a detailed history of the omniperiodicity problem and the strategies used to solve it, summarising the work of a large number of people in the decades since the creation of Life.

graveolensa, 6 months ago to random

@dpiponi @monsoon0 @futurebird @aliceschwarze :

https://www.youtube.com/watch?v=acSHKuoa07c

/Igor Aronson, Hierarchical Organization of Communicating Active Smarms/

graveolensa, 6 months ago to random

https://arxiv.org/abs/2311.06596

/Surfaces in The Tesseract/
Manuel Estévez, Erika Roldan, Henry Segerman (@henryseg)

Abstract: How can we visualize all the surfaces that can be made from the faces of the tesseract? In recent work, Aveni, Govc, and Rold'an showed that the torus and the sphere are the only closed surfaces that can be realized by a subset of two-dimensional faces of the tesseract. They also gave an exhaustive list of all the isomorphic types of embeddings of these two surfaces. Here, we generate 3D models of all these surfaces. We also exhibit, with the help of some hyper-ants, the minimum realization of the M"obius strip on the tesseract.

futurebird, 6 months ago to random

A far future story where the whales, having become technologically advanced feel bad for the humans and make a virus that genetically modifies us all to be more streamlined, with excellent fat stores and superior swimming abilities.

"uplifting goes lateral"

Because it's always lateral.

The next chapter is about what the ants do.

graveolensa, 6 months ago to random

1. watch blackpenredpen1s video about
   [ \int_{0{^{\infty} 1-e^{1/x^{2}} dx ]:
   https://www.youtube.com/watch?v=jdL_n7lGkuM&t=39s

[1+2 \sum _{m=1}^{\infty } -\frac{e^{i \pi m} \zeta (2 m)}{m!}=\sum _{t=-\infty }^{\infty } \left(2 \sqrt{\pi } , _0F_2\left(;\frac{1}{2},\frac{3}{2};\pi ^2 t^2\right)-2 \pi ^2 | t| , _0F_2\left(;\frac{3}{2},2;\pi ^2 t^2\right)\right)
]

this is a little tricky with what happens at 0, but the numerics appear to work out?

3. Well, those can be replaced with q-hypergeometrics, no, so:

ComplexPlot[If[Abs[q] < 1,
Sum[N[2Sqrt[Pi]QHypergeometricPFQ[{}, {1/2, 3/2}, q,
Pi^2t^2] - 2Pi^2*Abs[t]QHypergeometricPFQ[{},
{3/2, 2}, q, Pi^2t^2]], {t, -30, 30}], 0], {q, -1 - I, 1 + I}]