Topic for Maths

aaaand you lost me here

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What I mean by “digital form” is on a computer display, so there will always be (square) pixels, however much you zoom in, meaning there are lots of right angles, but in real life, curves are not made of 90 degree angles.

Yes, you’re right. I read something that said to have a perfectly circular orbit you’d need to have a simulated galaxy where there were no other bodies with mass except for the two bodies represented: the planet/sun and the satellite.

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so there is no such thing as a “perfect” circle?

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No, there is, but not with an orbit.
But a “perfect circle” may mostly be theoretical.

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True, true. I meant it has Infinite lines of Symmetry.

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You’re right.
Even big numbers like 100000000000000000000 are not infinity.

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Infinity is not a number. (I think)

Is Google a number? (2)

What’s calculus, and in particular, differential calculus? I know that you can Google it but often the explanation is a bit difficult to understand. It interests me because of its uses in data science and machine learning (think about the algorithms Google uses to bring up search results), although many websites keep on saying that you don’t need math for programming. I want to go in to data science and machine learning when I have the skills.

Personally I sometimes struggle with real world problem ratios, although I love percent and algebra.

That is Googol. (I think)

Is googol 1 with a hundred zeros?

Yes. And googolplex is 1 with a googol zeros(Which is crazily big so don’t bother writing it down)

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image

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Googol in standard form: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

I don’t think it’s that large. I think it’s bigger.

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+
Or literally
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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That’s a googol.
A googolplex:
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 and a bunch more zeros.

So googol and googolplex are different numbers. Interesting.

Yes. It becomes obvious when you write it out. Googol is 1 with 100 zeros. Googolplex is one with 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 zeros