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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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Basics:

What is math?

Category: Basics

I've got a bunch of stuff queued up to be posted over the next couple of days. It's been the sort of week where I've gotten lots of interesting links from readers, but I haven't had time to finish...

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Basics: Significant Figures

Category: Basics

After my post the other day about rounding errors, I got a ton of requests to explain the idea of significant figures. That's actually a very interesting topic. The idea of significant figures is that when you're doing experimental...

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Rounding and Bias

Category: Basics

Another alert reader sent me a link to a YouTube video which is moderately interesting. The video itself is really a deliberate joke, but it does demonstrate a worthwile point. It's about rounding....

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Mortgage Basics (part 1)

Category: Basics

One thing that I've been getting a lot of requests about is the ongoing mortgage mess in the US. I wrote a bit about it a while ago, explaining what was going on. But since then, I've gotten a...

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Basics: Proof by Contradiction

Category: Basics

I haven't written a basics post in a while, because for the most part, that well has run dry, but once in a while, one still pops up. I got an email recently asking about proofs by contradiction and...

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Basics: Sets and Classes

Category: Basics

This is something that came up in some of the comments on the recent "nimbers" post, and I thought it was worth promoting to the front, and getting up under an easy-to-find title in the "basics" series. In a...

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Basics: Innumeracy

Category: Basics

I've used the term innumeracy fairly often on this blog, and I've had a few people write to ask me what it means. It's also, I think, a very important idea. Innumeracy is math what illiteracy is to reading....

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Basics: Binary Search

Category: Basics

For the basics, I wrote a bunch of stuff about sorting. It seems worth taking a moment to talk about something related: binary search. Binary search is one of the most important and fundamental algorithms, and it shows up...

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Basics: Parallel, Concurrent, and Distributed

Category: Basics

This came up in a question in the post where I started to talk about π-calculus, but I thought it was an interesting enough topic to promote it up to a top-level post. If you listen to anyone talking...

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Basics: Tautology (with a free bonus rant!)

Category: Basics

Today's bit of basics is inspired by that bastion of shitheaded ignorance, Dr. Michael Egnor. In part of his latest screed (a podcast with Casey Luskin of the Discovery Institute), Egnor discusses antibiotic resistance, and along the way, asserts...

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