A Universe of Numbers. [Join Any Time]

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Ircher
Ircher
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What A Grand Idea
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Ircher
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What A Grand Idea
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Post Post #7 (isolation #0) » Fri Aug 28, 2020 8:21 am

Post by Ircher »

Yet something was still missing as Ircher entered the scene. "How can you have irrationals before rationals!" Ircher exclaimed. And so it was on the very next instant, the rationals entered being as something truly fantastic.

-1
/
4
=
-1/4
Last edited by Ircher on Sat Aug 29, 2020 11:16 am, edited 1 time in total.
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Ircher
Ircher
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What A Grand Idea
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Ircher
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What A Grand Idea
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Post Post #10 (isolation #1) » Fri Aug 28, 2020 10:58 am

Post by Ircher »

Why stick to algebraic irrationals when there are so many more. Indeed, an operator is loosely defined; any function suffices. Thus came into being, this very weird constant, a number so strange and yet so fundamental.

arcsin(
1
) =
pi / 2
Last edited by Ircher on Sat Aug 29, 2020 11:17 am, edited 1 time in total.
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Ircher
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What A Grand Idea
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Ircher
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Post Post #14 (isolation #2) » Fri Aug 28, 2020 4:13 pm

Post by Ircher »

While Ircher couldn't rip numbers apart, he could certainly join them together. Concatenation is an operation just as much as addition.

4
concatenated with
256
yields
4256
Last edited by Ircher on Sat Aug 29, 2020 11:17 am, edited 1 time in total.
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Ircher
Ircher
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What A Grand Idea
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Ircher
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What A Grand Idea
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Post Post #17 (isolation #3) » Fri Aug 28, 2020 4:33 pm

Post by Ircher »

Wait, we can do 400 size now? I thought the max was 200...

With the natural numbers far from finished, Ircher sets out to count towards the sky.

2
+
1
=
3
.

pedit: Tau? You remove that blasphemy right now!
Last edited by Ircher on Sat Aug 29, 2020 11:18 am, edited 1 time in total.
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Post Post #25 (isolation #4) » Sat Aug 29, 2020 11:15 am

Post by Ircher »

Binary and unary operators are for mere mortals. The greatest numbers shall come forth from mighty operators of several arguments.

The definite integral with respect to x of
e
from
sqrt(2)
to
e
=
e^2 - e*sqrt(2)
!
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Post Post #27 (isolation #5) » Sat Aug 29, 2020 12:16 pm

Post by Ircher »

increment
4
=
5
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Post Post #29 (isolation #6) » Sat Aug 29, 2020 12:43 pm

Post by Ircher »

Another very special number enters the universe. An odd yet prime number, many considered it a sign of good luck.
2
+
5
=
7
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Post Post #40 (isolation #7) » Sat Aug 29, 2020 5:26 pm

Post by Ircher »

20
concatenated with
1.5
=
201.5
.
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Post Post #50 (isolation #8) » Tue Sep 01, 2020 10:48 am

Post by Ircher »

Ircher decided that the universe could use a number. He applied the secret power of base conversion to form the next number.

17
(in decimal) converted to octal =
21
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Post Post #54 (isolation #9) » Tue Sep 01, 2020 1:42 pm

Post by Ircher »

Fun Fact: You can construct any square root of a rational length using just a compass and a straightedge. Speaking of square roots...


sqrt(
15
) =
sqrt(15)
Last edited by Ircher on Tue Sep 01, 2020 1:57 pm, edited 1 time in total.
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Post Post #56 (isolation #10) » Tue Sep 01, 2020 2:04 pm

Post by Ircher »

No, it would only require one compass and one straightedge. You would just have to do the process twice.

sqrt(
sqrt(sqrt(15))
=
sqrt(sqrt(sqrt(15)))


(Because why not?)
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Post Post #65 (isolation #11) » Wed Sep 02, 2020 2:08 pm

Post by Ircher »

For computer scientists, log always indicates the base-2 log. That allows us to say things like binary search is O(log(N)). So yeah, log depends on context and who you are talking to.

1023
+
1
=
1024
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