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@jph00
jph00 / polya.md
Last active December 5, 2025 18:03
Summary of Polya's "How To Solve It With Code"

A guide to George Polya's "How to Solve It"

Introduction

George Polya (1887-1985) was a Hungarian mathematician and educator who revolutionized our understanding of problem-solving and teaching. While he made significant contributions to mathematics, his most enduring legacy is his insights into how people learn and solve problems. His 1945 book "How to Solve It" has influenced educators across numerous fields, extending far beyond mathematics.

Polya's Teaching Philosophy

Polya's approach centered on three key principles. First, he championed active learning, believing students learn best by discovering solutions themselves rather than being told answers. Second, he emphasized heuristic thinking - the art of guided discovery and learning from experience, viewing problem-solving as a skill that can be developed through practice. Third, he developed sophisticated questionin

Understand the Task: Grasp the main objective, goals, requirements, constraints, and expected output.
- Minimal Changes: If an existing prompt is provided, improve it only if it's simple. For complex prompts, enhance clarity and add missing elements without altering the original structure.
- Reasoning Before Conclusions: Encourage reasoning steps before any conclusions are reached. ATTENTION! If the user provides examples where the reasoning happens afterward, REVERSE the order! NEVER START EXAMPLES WITH CONCLUSIONS!
- Reasoning Order: Call out reasoning portions of the prompt and conclusion parts (specific fields by name). For each, determine the ORDER in which this is done, and whether it needs to be reversed.
- Conclusion, classifications, or results should ALWAYS appear last.
- Examples: Include high-quality examples if helpful, using placeholders [in brackets] for complex elements.
- What kinds of examples may need to be included, how many, and whether they are complex enough to benefit from p
@jkullick
jkullick / raspberry-pi-chroot-armv7-qemu.md
Last active March 24, 2024 14:36
Chroot into Raspberry Pi ARMv7 Image with Qemu
# install dependecies
apt-get install qemu qemu-user-static binfmt-support

# download raspbian image
wget https://downloads.raspberrypi.org/raspbian_latest

# extract raspbian image
unzip raspbian_latest
@hugobowne
hugobowne / tweet_listener.py
Last active September 22, 2025 04:49
NOTE: this code is for a previous version of the Twitter API and I will not be updating in the near future. If someone else would like to, I'd welcome that! Feel free to ping me. END NOTE. Here I define a Tweet listener that creates a file called 'tweets.txt', collects streaming tweets as .jsons and writes them to the file 'tweets.txt'; once 100โ€ฆ
class MyStreamListener(tweepy.StreamListener):
def __init__(self, api=None):
super(MyStreamListener, self).__init__()
self.num_tweets = 0
self.file = open("tweets.txt", "w")
def on_status(self, status):
tweet = status._json
self.file.write( json.dumps(tweet) + '\n' )
self.num_tweets += 1
@conormm
conormm / r-to-python-data-wrangling-basics.md
Last active May 3, 2025 19:21
R to Python: Data wrangling with dplyr and pandas

R to python data wrangling snippets

The dplyr package in R makes data wrangling significantly easier. The beauty of dplyr is that, by design, the options available are limited. Specifically, a set of key verbs form the core of the package. Using these verbs you can solve a wide range of data problems effectively in a shorter timeframe. Whilse transitioning to Python I have greatly missed the ease with which I can think through and solve problems using dplyr in R. The purpose of this document is to demonstrate how to execute the key dplyr verbs when manipulating data using Python (with the pandas package).

dplyr is organised around six key verbs:

@pamelafox
pamelafox / earned_badges.sql
Created May 8, 2015 18:37
earned_badges.sql
/*
Earned Badges
This table contains badges earned by a user, including the most recent date achieved, the type, the name, the # of energy points earned, and the activity earned from.
Collected by: https://www.khanacademy.org/profile/chopsor/
*/
CREATE TABLE badges (
date TEXT,
badge_type TEXT,
badge_name TEXT,
@natelandau
natelandau / .bash_profile
Last active November 9, 2025 04:02
Mac OSX Bash Profile
# ---------------------------------------------------------------------------
#
# Description: This file holds all my BASH configurations and aliases
#
# Sections:
# 1. Environment Configuration
# 2. Make Terminal Better (remapping defaults and adding functionality)
# 3. File and Folder Management
# 4. Searching
# 5. Process Management
@wildmichael
wildmichael / README.md
Created March 1, 2013 11:24
superscript test

This is some superscript text.