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Good Math, Bad Math

Finding the fun in good math; Shredding bad math and squashing the crackpots who espouse it.

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Mark Chu-Carroll (aka MarkCC) is a PhD Computer Scientist, who works for Google as a Software Engineer. My professional interests center on programming languages and tools, and how to improve the languages and tools that are used for building complex software systems.

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Finger Tree Update: I forgot something

Category: Data Structures

As an alert commenter pointed out, I left out one really important thing in my earlier post about finger trees. That's what I get for trying to write when I'm sick :-). Seriously, this is a point that's implied...

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Finally: Finger Trees!

Category: Data Structures

For ages, I've been promising to write about finger trees. Finger trees are an incredibly elegant and simple structure for implementing sequence-based data structures. They're primarily used in functional languages, but there's nothing stopping an imperative-language programmer from using...

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Two-Three Trees: a different approach to balance

Category: Data Structures

This post is very delayed, but things have been busy. I'm working my way up to finger trees, which are a wonderful functional data structure. They're based on trees - and like many tree-based structures, their performance relies heavily...

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Gap Buffers, or, Don't Get Tied Up With Ropes?

Category: Data Structures

Last week, I promised to continue my discussion of ropes. I'm going to break that promise. But it's in a good cause. If you're a decent engineer, one of the basic principles you should follow is keeping this as...

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Ropes: Twining Together Strings for Editors

Category: Data Structures

It's been a while since I've written about any data structures. But it just so happens that I'm actually really working on implementing a really interesting and broadly useful data structure now, called a Rope. A bit of background,...

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B-Trees - Balanced Search Trees for Slow Storage

Category: Data Structures

Another cool, but frequently overlooked, data structure in the tree family is called the B-tree. A B-tree is a search tree, very similar to a BST in concept, but optimized differently. BSTs provide logarithmic time operations, where the performance...

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Implementing Compact Binary Heaps

Category: Data Structures

Last post, I described the basic idea of the binary heap data structure. But I didn't talk about how to implement it - and there's a very cool way of implementing it - optimally space efficient, very fast, and...

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Binary Heaps

Category: Data Structures

One of the most neglected data structures in the CS repertoire is the heap. Unfortunately, the jargon is overloaded, so "heap" can mean two different things - but there is a connection, which I'll explain in a little while....

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