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March 29, 2024, 06:03:39 pm

Author Topic: The Random Thoughts Thread  (Read 746149 times)  Share 

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Sine

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1875 on: December 06, 2017, 08:20:26 pm »
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in 1030 pretty sure we went through the proof and it was/something in that form was on the exam iirc

RuiAce

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1876 on: December 06, 2017, 08:27:12 pm »
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in 1030 pretty sure we went through the proof and it was/something in that form was on the exam iirc
Which parts were you expected to prove? The existence of the \(k\)-th order Taylor expansion, or that if remainder -> 0 then f is represented by the Taylor series?

keltingmeith

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1877 on: December 06, 2017, 10:35:12 pm »
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Which parts were you expected to prove? The existence of the \(k\)-th order Taylor expansion, or that if remainder -> 0 then f is represented by the Taylor series?

It wasn't a rigorous proof - it just sorta showed how increasing k caused a better approximation of the series.

And soz, I guess we just do maths better than you do. ;)

Still need help with Taylor series/ approximations here. Learnt it back in first year maths (MTH1030) and need to revise this. Forgotten most of it. Mostly I just need a proof and how it works again. I've also forgotten mostly about limits, so yeah... that'd be great if you could help. :)

I mean.
Why do you need to revise it?

Shadowxo

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1878 on: December 06, 2017, 11:08:39 pm »
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AngelWings

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1879 on: December 07, 2017, 12:29:23 am »
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I mean.
Why do you need to revise it?
Intending on a theoretical genetics project for Honours, which involves some first year math, parts of which my memory stalls on. After previous experience, my intended supervisor advised that during this break, I should go through two genetics books. Both of them indirectly expect you to use Taylor approximations, which I can't remember how it works or how to do them. Hence the revision.   
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RuiAce

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1880 on: December 07, 2017, 12:39:49 am »
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It wasn't a rigorous proof - it just sorta showed how increasing k caused a better approximation of the series.

And soz, I guess we just do maths better than you do. ;)
Approximations and this applied math stuff eww

keltingmeith

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1881 on: December 07, 2017, 12:51:31 am »
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Intending on a theoretical genetics project for Honours, which involves some first year math, parts of which my memory stalls on. After previous experience, my intended supervisor advised that during this break, I should go through two genetics books. Both of them indirectly expect you to use Taylor approximations, which I can't remember how it works or how to do them. Hence the revision.   

Fair enough, then. Wasn't sure if it was a case of, "I'm going on to do second year maths but I forgot first year", for which there's no point revising Taylor series. :P

Approximations and this applied math stuff eww

M8 it's first year maths - they keep it as rigorous as possible. Also, they pretty much exclusively teach the case where n is infinite - they just the finite approximations to demonstrate the limiting behaviour of the series.

AngelWings

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1882 on: December 07, 2017, 06:59:40 pm »
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Which parts were you expected to prove? The existence of the \(k\)-th order Taylor expansion, or that if remainder -> 0 then f is represented by the Taylor series?
To be honest, I’ve forgotten some of the basics. The most common one in these books, after a bit of dissecting, incorporates Taylor series on e^x, giving approximately 1 + x + x^2 + x^3 +... Not so sure how we got from Point A to B and would just like to see how to do it again, how we can prove this and so forth.
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RuiAce

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1883 on: December 07, 2017, 07:08:52 pm »
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To be honest, I’ve forgotten some of the basics. The most common one in these books, after a bit of dissecting, incorporates Taylor series on e^x, giving approximately 1 + x + x^2 + x^3 +... Not so sure how we got from Point A to B and would just like to see how to do it again, how we can prove this and so forth.

Did you mix some of them up?

K888

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1884 on: December 07, 2017, 08:06:33 pm »
+5
Please stop talking about maths.

Calebark

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1885 on: December 07, 2017, 08:10:42 pm »
+3
Please stop talking about maths.

Kate + Maths = Sad
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Shadowxo

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1886 on: December 07, 2017, 08:12:47 pm »
+3
Please stop talking about maths.
You don't like maths?! :o
Don't let Rui hear you say that!
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K888

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1887 on: December 07, 2017, 08:13:54 pm »
+4
You don't like maths?! :o
Don't let Rui hear you say that!
I don't like maths.

sweetiepi

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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1888 on: December 07, 2017, 08:13:58 pm »
+4
Please stop talking about maths.
I'm agreeing with you here, my head is starting to hurt from seeing maths
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Re: The Random Thoughts Thread [Currently: Waiting Rooms]
« Reply #1889 on: December 07, 2017, 09:14:34 pm »
+3
Sorry about that, guys. Was only trying to cure Rui’s boredom. (Will move elsewhere.)

But here’s a random thought as per the thread title: is a waiting room a waiting room if everyone is seen within a minute of sitting down?
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