Showerthoughts

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A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.

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Irrational numbers are an infinite source of information. (lemmy.world)

submitted 1 month ago by [email protected] to c/[email protected]

32 comments fedilink hide all child comments

They're probably the only things that "create" information in the sense that you can always grab another slice. Thank you delicious pi!

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[–] [email protected] 4 points 1 month ago (2 children)

I can give you √2 which is 16-bits of information as characters. It's also an irrational number. How you express something doesn't change the amount of information is contained in the message.

[–] [email protected] 3 points 4 weeks ago

How you express something doesn't change the amount of information is contained in the message.

Welcome to the world of entropy coding.

[–] [email protected] 2 points 1 month ago

How you express something absolutely does change the amount of information in the message. That’s the foundation of compression.

Bitmap image files tend to be larger than png files, even when they both represent the same image.

1.41421… can be thought of as an expanded form of sqrt(2). In this case, the expansion is to an infinite number of digits.