notwa

def expect_cossim(n, approx=True):
    """
    returns gamma(n / 2) / gamma((n + 1) / 2) / sqrt(pi) for positive integers.
    """
    assert n > 0
    
    if approx:
        # abs(error) < 1e-8
        if n >= 128000:
            return np.reciprocal(np.sqrt(np.pi / 2 * n + 1))

notwa

yashsavani

-- General purpose Haskell functions to remember (Note I have ommited the typeclasses here for simplicity)
-- Bryan O'Sullivan, Don Stewart, and John Goerzen. Real World Haskell, O'Reilly Media, 2008

-- Length of list
-- O(n)
-- ✅(empty list) -> total / safe
-- Python: len(list)
length :: [a] -> Int

-- Tells if a list is empty

Vivelin

// ==UserScript==
// @name         YouTube audio compressor
// @namespace    https://vivelin.net/
// @version      0.4
// @description  Adds an audio compressor option to YouTube videos.
// @author       Vivelin
// @match        https://*.youtube.com/*
// @updateURL    https://gist.github.com/Vivelin/2321d17bf26016ceaed87d6d1a281881/raw/YouTube%2520audio%2520compressor.user.js
// @run-at       document-idle
// @grant        none

lbmaian

// ==UserScript==
// @name         YouTube - Hide Live Chat By Default
// @namespace    https://gist.github.com/lbmaian/94824cef728917a53d3c6e6ea885469c
// @downloadURL  https://gist.github.com/lbmaian/94824cef728917a53d3c6e6ea885469c/raw/youtube-hide-livechat.user.js
// @updateURL    https://gist.github.com/lbmaian/94824cef728917a53d3c6e6ea885469c/raw/youtube-hide-livechat.user.js
// @version      0.14
// @description  Hide live chat by default on live streams
// @author       lbmaian
// @match        https://www.youtube.com/*
// @exclude      https://www.youtube.com/embed/*

bartowski1182

In addition to a significant decrease in hepatic lipid accumulation in the IOE group, which inhibited energy intake by propionate enrichment, hepatic lipids were also significantly reduced in the mice in the IOP group, which was largely enriched with butyrate. Compared with the IOE group, IOP had a stronger regulatory effect on hepatic metabolism and triglyceride metabolism and higher levels of TCA cycle in the host. In addition, butyrate has the ability to promote browning of white adipose tissue (WAT) to brown adipose tissue (BAT).^[@ref39],[@ref40]^ WAT stores energy, whereas BAT uses energy for heating and consequently host energy expenditure increases.^[@ref41],[@ref42]^ However, adipose tissue weight does not change after WAT browning.^[@ref43]^ Therefore, the weight of adipose tissue of mice in the IOP group dominated by butyrate was greater than that of the mice in the IOE group dominated by propionate.

In conclusion ([Figure [7](#fig7){ref-type="fig"}](#fig7){ref-type="fig"}C), the improvement of ob