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| library(tidyverse) | |
| answers <- | |
| read_csv("https://git.io/fjoZ2") %>% | |
| mutate(rounded = round(pick_a_random_number_from_1_10)) %>% | |
| filter(!is.na(rounded)) | |
| modulo_rng <- function(n, data) { | |
| data %>% |
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| ''' | |
| How many turns does it take to complete a game of Concentration? | |
| https://en.wikipedia.org/wiki/Concentration_(game) | |
| With perfect memory and strategy, for a game of n pairs, this converges to | |
| (approximately) 1.61n moves. | |
| https://www.jstor.org/stable/10.4169/amer.math.monthly.120.09.787 | |
| What about with imperfect memory? | |
| ''' |
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| library(tidyverse) | |
| year <- 2019 | |
| start_date <- lubridate::date(str_glue("{year}-01-01")) # there must be a better way?? | |
| month_colours <- c( | |
| "January" = "#a5cdff", | |
| "February" = "#c9e1ff", | |
| "March" = "#b2edb6", |
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| import os | |
| import urllib.request | |
| import bs4 | |
| import progressbar | |
| import requests | |
| URL = 'http://esperantofre.com/zagreb/zagreba.htm' | |
| IMG_DIR = os.path.join(os.path.dirname(__file__), 'zagreba-metodo') |
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| library(tidyverse) | |
| # https://math.stackexchange.com/questions/35791/birthday-problem-expected-number-of-collisions | |
| exp_collisions <- function(n, d) { | |
| n * (1 - (1 - (1 / d)) ^ (n - 1)) | |
| } | |
| tibble(n = 1:80) %>% | |
| mutate(collisions = exp_collisions(n, 365)) %>% | |
| ggplot(aes(x = n, y = collisions)) + |
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| library(tidyverse) | |
| library(rvest) | |
| url <- "https://en.wikipedia.org/wiki/List_of_minimum_annual_leave_by_country" | |
| clean_colnames <- | |
| . %>% | |
| str_to_lower() %>% | |
| str_remove_all("\\[.*\\]") %>% | |
| str_remove_all("\\(.*\\)") %>% |
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| suppressPackageStartupMessages({ | |
| library(tidyverse) | |
| library(sf) | |
| }) | |
| # c.f. http://web.mit.edu/tee/www/bertrand/problem.html | |
| chord_length <- function(theta) { | |
| 2 * sin(theta / 2) | |
| } |
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| lower_bound <- function(d) { | |
| (1 - sqrt(1 - 2*d)) / 2 | |
| } | |
| upper_bound <- function(d) { | |
| (1 + sqrt(1 - 2*d)) / 2 | |
| } | |
| tibble(d = seq(0, 0.5, 0.001), | |
| lower = lower_bound(d), |
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| to_clipboard <- function(data) { | |
| clip <- pipe("pbcopy", "w") | |
| write.table(data, file = clip, row.names = FALSE) | |
| close(clip) | |
| } |
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| benchmark <- | |
| games %>% | |
| mutate( | |
| outcome = case_when( | |
| hgoals > agoals ~ "home_win", | |
| agoals > hgoals ~ "away_win", | |
| hgoals == agoals ~ "draw" | |
| ) | |
| ) %>% | |
| count(outcome) %>% |