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from django.conf import settings
from django.db import models

# A Batch represents one batch, and may be assigned to multiple
# users.
class Batch(models.Model):
    name = models.CharField(max_length=200)
    assigned_users = models.ManyToManyField(settings.AUTH_USER_MODEL, blank=True)

    def __str__(self):

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{-# LANGUAGE GADTs, RankNTypes, TypeFamilies, DataKinds, DeriveFunctor, TypeOperators  #-}

import Data.Type.Equality
import Data.List (intercalate)
import Data.Maybe (catMaybes)

data HasVars = Var | NoVar

data SHasVars a where
  SVar :: SHasVars Var

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data StockState = StockState { hi :: Int, lo :: Int, lowest :: Int }
  deriving Show

solve xs = (hi st) - (lo st)
  where
    st = solve' xs

solve' [] = StockState 0 0 0
solve' (x:xs) = foldl go (StockState 0 0 x) xs
  where

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assignment = __dirname.substr(__dirname.lastIndexOf('/') + 1)

module.exports = (grunt) ->
  grunt.initConfig
    watch:
      files: ['!full.tex', '*.tex']
      tasks: 'exec:pdf'
      options:
        event: ['changed']
     exec:

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\documentclass[a4paper,english]{article}

%% Use utf-8 encoding for foreign characters
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{babel}
\usepackage{graphicx}
\usepackage{siunitx}

%% Vector based fonts instead of bitmaps

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\documentclass[11pt, oneside]{article}   	% use "amsart" instead of "article" for AMSLaTeX format
\usepackage{geometry}                		% See geometry.pdf to learn the layout options. There are lots.
\geometry{letterpaper}                   		% ... or a4paper or a5paper or ... 
%\geometry{landscape}                		% Activate for for rotated page geometry
%\usepackage[parfill]{parskip}    		% Activate to begin paragraphs with an empty line rather than an indent
\usepackage{graphicx}				% Use pdf, png, jpg, or eps with pdflatex; use eps in DVI mode
								% TeX will automatically convert eps --> pdf in pdflatex		
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{epigraph}

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1. Give an algorithm to find the longest common subsequence for two given strings using edit distance (the minimal number of additions, deletions and substitutions needed to transform one string into the other).

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Fun problems (rendered at http://mathb.in/18258)

1. Find $\displaystyle\sum_{n=1}^\infty \frac{n}{2^n}$

2. Find $\displaystyle\sum_{n=1}^\infty \frac{n^2}{2^n}$

3. Let $a(k) = \displaystyle\sum_{n=1}^\infty \frac{n^k}{2^n}$. Find a recurrence relation for $a(k)$.

4. Let $\mathcal{N}$ be the set of natural numbers that do not contain a 6 in their decimal expansion (so, $\mathcal{N} = { 1, 2, 3, 4, 5, 7, \ldots, 14, 15, 17, \ldots }$). Prove that $$ \sum_{n\in\mathcal{N}} \frac{1}{n} < 80 $$

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Javascript Review

Table of contents

1. Objects
2. Functions
3. Closures
4. The call and apply methods
5. Prototypes and constructors

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import requests
import os

twilio_sid = os.environ['TWILIO_SID']
twilio_auth = os.environ['TWILIO_AUTH']
twilio_url = 'https://api.twilio.com/2010-04-01/Accounts/%(twilio_sid)s/SMS/Messages.json' % locals()

weather_url = 'http://api.openweathermap.org/data/2.5/weather'
weather_params = {'q': 'montreal'}
r = requests.get(weather_url, params=weather_params)