neppy

ALT From the ETH proof. Lemma (Eight-square identity [CS03, AM99]). There is a function σ : {0, 1}3 × {0, 1}3 → {−1, 1} such that for all x, y, u, v ∈ {0, 1}3, with ⊕ the bitwise exclusive or, (12) 2 [x = v] [y = u] = [x ⊕ y ⊕ u ⊕ v = 0] (σ(x, y) σ(v, u) + σ(x, u) σ(v, y)). Proof. Let σ(p, q) = (−1)ϕ(p,q) with ϕ(p, q) = ∑ k≤k′ pkqk′ + q1p2p3 + p1q2p3 + p1p2q3. Equa- tion (12) is a statement about 12 bits, and it can be checked at all 4096 settings. (§4 and Appendix F prove it by hand.) ■ The identity is two centuries old: Degen found it in 1818, and Graves found it again in 1843 by showing that the norm of the octonions is multiplicative [Bae02, Section 1].

ALT of course i think women can have dicks. i'm a feminist, these narrow definitions of gender no longer affect me. i myself find my genitalia to be very feminine. and when i'm with someone, and their wandering, lustful hand ventures down, chest, waist, hip, only to hesitate in the final leg of its journey, as it always does, and then turn back, desire lost, i don't feel despair at all, because i can always tell myself this is just one of many possible ways to experience womanhood, and i appreciate having partners who are respectful of my boundaries, and aren't i so lucky to get to be a woman at all.

ALT screenshot of the Jezebel article "How the 'Girl Watching' Fad of the 1960s Taught Men to Harass Women". some text and a picture with the 1966 caption: “A member of the International Society of Girl Watchers falls back on the old trick of ‘accidentally’ dropping his papers in order to get an eyeful.” The text reads: "Pall Mall Cigarettes, meanwhile, ran advertisements nationwide promoting girl watching: If the girl is watchable, she should be watched, no matter what her motives or ambitions may be, proclaimed one. Not only did these cigarette advertisements offer “lessons” directly from Sauers’s book, but they also invited men to join The American Society of Girl Watchers. Countless Americans learned from these ads that “any male is eligible to become a girl watcher” and that any girl was meant to be and wanted to be watched. An ambitious girl, these advertisements reassured men, really doesn’t want to compete with men. In her heart she wants to attract men and eventually marry one..."

ALT A screenshot of the "fame" section of the wikipedia page for Francine Gottfried. The first paragraph of three: Gottfried started working at Chemical Bank in the Financial District of Manhattan on May 27, 1968. By late August, a small band of admirers had noticed her as she traveled the same route each day. They timed her daily arrival and spread the word to their co-workers. For three weeks, the crowd of gawkers grew steadily larger until, on September 18, there were 2000 people waiting to watch her stroll by.[1]

ALT arXiv preprint. 'A "Proof" of P≠NP' by Tianrong Lin. abstract: This short note present a "proof" of P≠NP. The "proof" with double quotation marks is to indicate that we do not know whether the proof is correct or not (We're confused because we do know in which we make the mistakes).

ALT screenshot of arxiv search results. "The complexity of X3SAT: P = NP = PSPACE" "Postulate-based proof of the P != NP hypothesis" "A proof of P!=NP" "A class of examples demonstrating that P is different from NP in the 'P vs NP' problem" "On P Versus NP"

ALT A screenshot of a document with the title "A proof of the Riemann Hypothesis." some nonsense diagrams and poorly aligned text