Add a few draft posts

articles/[DRAFT] interesting-things-i-learned-nov-2024.md

@@ -0,0 +1,39 @@
+---
+title: "Interesting things I've learned: Nov 2024"
+slug: "interesting-things-i-learned-nov-2024"
+date: "2024-11-09"
+published: false
+tags:
+  - TIL
+  - Postgres
+  - SQL
+  - LLMs
+description: "This article contains a collection of interesting things I've learned while working on my projects."
+---
+
+## The FILTER clause in SQL
+( H/T [@winand.at](https://bsky.app/profile/winand.at/post/3lagizjuo4e2y))
+
+```sql
+SELECT 
+    count(*) as user_count,
+    count(*) filter (where age > 18) as adult_user_count
+FROM users;
+```
+
+is the equivalent of:
+
+```sql
+SELECT 
+    count(*) as user_count,
+    sum(case when age > 18 then 1 else 0 end) as adult_user_count
+FROM users;
+```
+
+except that you don't need to write a complicated `case` expression.
+
+## Cloudflare free-tier limit
+
+There is a 100,000-request daily limit on the free tier of Cloudflare Workers + Pages.
+
+I learned this the hard way, thanks to a recent article making it to #2 on [Hacker News](https://news.ycombinator.com/item?id=42057431), and getting about 108,000 page views in a day.

articles/[DRAFT] smallest-ungoogleable-number.md

@@ -0,0 +1,42 @@
+---
+title: "The smallest ungoogleable number"
+slug: "smallest-ungoogleable-number"
+date: "2024-11-06"
+published: false
+tags:
+  - Maths
+  - Google
+description: "What is the smallest number that doesn't return any Google result?"
+---
+
+You can Google search for numbers. 
+
+Some of the larger ones will return no results.
+
+The question is: what is the smallest number that doesn't return any Google result?
+
+## Ground rules
+
+First we need to establish some ground rules.
+
+1. We will only consider *positive* numbers. [1]
+2. We will only consider *integers* (not floating point numbers).
+3. We will only consider numbers written in arabic numerals. So no English words, no Roman numerals, etc.
+
+## Is there a smallest ungoogleable number?
+
+**Yes, and there always will be.** 
+
+There is an infinite number of integers, but only a finite number of bits encodable on the Internet [2]. 
+The [Pigeonhole principle](https://en.wikipedia.org/wiki/Pigeonhole_principle) will show that there will always be a number that isn't encoded on the Internet, and thus will not be Googleable.
+
+## So what is the smallest ungoogleable number?
+<insert number here>
+
+This is true as of <insert date here>. This will likely cease to be the smallest ungoogleable number once this post gets picked up by Google, and appears as a result.
+
+Unless I continually update this post, but who's got time for that? 🤔
+
+
+[1] If we allow negative numbers, we can flip the question and ask "what is the smallest Googleable number?". But this is my blog, and I get to make the rules.
+[2] The number of bits encodable by the Internet is a massive number, and is one that is - at this point in history - growing over time, but it is still finite. It will be limited by the [number of bits in the observable universe](https://physics.stackexchange.com/questions/35920/maximum-possible-information-in-the-universe).