# Maths Uni ChatWatch

9 years ago
#3221
(Original post by My Alt)
Conclusion: Anime is for kids.

QED
0
9 years ago
#3222

has roots in , so the number of roots tends to as , but has no roots.

Maffs is weird.
0
9 years ago
#3223
(Original post by .matt)

has roots in , so the number of roots tends to as , but has no roots.

Maffs is weird.
Do we know what happens to the modulae of the roots. (plural fail? perhaps) It would be neat if something like this happens:

with

Obviously this is a very wishy washy idea of what I want to happen, as the number of roots grows as n increases, but perhaps the means or something...
0
9 years ago
#3224
I can prove that for all R, there exists N st for n>N has no zeros in |z|<R.

(But my proof relies on the fact that exp has no roots)
0
9 years ago
#3225
(Original post by My Alt)
Do we know what happens to the modulae of the roots. (plural fail? perhaps) It would be neat if something like this happens:

with

Obviously this is a very wishy washy idea of what I want to happen, as the number of roots grows as n increases, but perhaps the means or something...
Just had a play around with the means of the roots in Mathematica, and realised that their mean for all n is -1, which is quite a nice result. Follows from some Further Maths stuff that I haven't encountered once whilst at university: the sum of the roots of is , so for the nth exponential partial sum the sum is , thus their mean is -1.

Another thing that I find quite weird is that if you have two intersecting lines in with a positive angle between them, then the intersection will just be a single point for all , yet when the intersection is an uncountable set of points.
0
9 years ago
#3226
That doesn't seem particularly weird to me!
0
9 years ago
#3227
(Original post by majikthise)
That doesn't seem particularly weird to me!
Haha, I think I find it weird just because the number of points of intersection jumps to infinity rather than tending to it - a bazillionth of a degree in one direction can be the difference between one point and infinite points of intersection, yet in the other direction 100 degrees won't make a difference at all. That said, I guess the number of points could be given by , extended to be periodic, and that isn't particularly obscure...
0
9 years ago
#3228
Anyone ever noticed that the best fraction is ?
0
9 years ago
#3229
no, it's blates
0
#3230
1/3 is

since 1/3=0.333333... then 1=0.99999....

However, clearly 0.9999.. doesn't equal 1. So there is something magical about 1/3.
0
9 years ago
#3231
Around is definitely correct.
0
9 years ago
#3232
I know they got their mathematical legends a bit confused and all, but I would love to see Doctor Who and Fermat in a duel
0
9 years ago
#3233
(Original post by Simplicity)
1/3 is

since 1/3=0.333333... then 1=0.99999....

However, clearly 0.9999.. doesn't equal 1. So there is something magical about 1/3.
I made that joke ages ago ;_;
0
9 years ago
#3234
(Original post by My Alt)
I made that joke ages ago ;_;
That's nothing to be proud of. exp(x).
9 years ago
#3235
(Original post by sonofdot)
I know they got their mathematical legends a bit confused and all, but I would love to see Doctor Who and Fermat in a duel
Haha, think I caught that bit just as I was walking past the living room- did he confuse Fermat and Galois?
0
9 years ago
#3236
(Original post by My Alt)
I made that joke ages ago ;_;
I don't understand.
0
#3237
(Original post by sonofdot)
I know they got their mathematical legends a bit confused and all, but I would love to see Doctor Who and Fermat in a duel
Yeah, that was shameful. How can they confuse Fermat with Galois?

Even then Galois didn't really die in a duel, but more of a game of russian roulette.

P.S. Even, then there is no evidence that Fermat had a proof and he had ages to actually prove he did.

Besides that it was a good episode.
0
9 years ago
#3238
bum
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9 years ago
#3239
(Original post by Simplicity)
1/3 is

since 1/3=0.333333... then 1=0.99999....

However, clearly 0.9999.. doesn't equal 1. So there is something magical about 1/3.
0
9 years ago
#3240
(Original post by Hedgeman49)
Asif you actually think that little of poor simpy.

Simpster.
0
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