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1, of course, was the loneliest number, and that would never do for Jake the Wolfie. So he had summoned StrangerCoug from the multiverse to help him out.
StrangerCoug was a software engineer back home, as well as a bit of a hack writer as a hobby. He could never dream of writing anything as poetic as the greats of Shakespeare and the like, but that was not what Jake needed from Coug. He needed other numbers besides just 1, and there were strict rules on how to create other numbers.
"Well, let's see," StrangerCoug said. "I'd increment, like you can do with the ++ operator in many programming languages I know, but I don't know if you have an operator like that in your pocket universe. But luckily, you increment a number by adding 1 to it, and 1 is exactly what you have. So there you have it:
1
+
1
=
2
. I'll be glad to stick around to help!" He gave a bit of an uncanny smile, almost like the Cheshire Cat.
Last edited by StrangerCoug on Sat Aug 29, 2020 2:48 am, edited 1 time in total.
This negative element intrigued Coug. Of course he had to have fun with it. He took the -1 that Jake created and tried to combine it with the positive 1 that was so lonely before. From it, he created a pure nothingness, as
-1
+
1
=
0
, neither positive not negative, but certainly even.
Last edited by StrangerCoug on Sat Aug 29, 2020 2:49 am, edited 1 time in total.
Coug was impressed, but at the same time he was jealous. So far, the numbers -1, 0, 1, 2, and 4 existed, and he wanted a number bigger than all of those combined.
FAR
bigger, in fact. He was hungry with power—and powers would be the next operation he would use. Exponentiation was simply repeated multiplication, and nowhere in the rules did he find that he was limited to addition, subtraction, multiplication, and division. Thus he created
4
^
4
=
256
. This, he thought, could open up a lot of opportunities for number creation, and Coug saw that it was good.
Last edited by StrangerCoug on Sat Aug 29, 2020 2:50 am, edited 1 time in total.
A newcomer had entered the Universe of Numbers and created its first rational non-integer. Soon after, the very creator of that universe created the imaginary unit. The imaginary plane, so far, could only be traversed along the real or imaginary axis—that is, until Coug came along to create the first complex number to have a nonzero real part and a nonzero imaginary part.
-1/4
+
i
=
-1/4 + i
Last edited by StrangerCoug on Sat Aug 29, 2020 2:51 am, edited 1 time in total.
Ircher noted the power of a unary function, and Coug nodded in agreement. Unary functions seemed the only way to get the most interesting numbers. And from this he remembered what he learned in college: the exponentiation function. And from this he could easily obtain the base of the natural logarithm:
exp(
1
) =
e
Last edited by StrangerCoug on Sat Aug 29, 2020 2:52 am, edited 1 time in total.
At last, after several numbers were made, it was time for dinner in the Universe of Numbers. There was half of a pi, but Coug still thought there was enough for everyone. There
was
, but as he multiplied a positive fraction by a negative fraction, Coug now owed the mathematical baker. That was good blueberry pi, though, and Coug began to color his numbers blue to celebrate how good it tasted.
After pissing off the greatest god of the Universe a little in claiming the last unit away from the origin, Coug decided a little bit more teasing with Jake was in order. There were some numbers he wanted to create from trigonometric functions, but the argument he had created himself, so he could not do so. But, even though Coug had created
e
, Jake had now created
(i*pi)/3
, and now all it took Coug was to remember Euler's formula:
e
^(
i
x) = cos(x) +
i
* sin(x). Thus, Coug could kill two birds with one stone:
Coug realized that there existed what he needed to create the base of the common logarithm, having already created the base of the natural logarithm. All he had to do was change the operator in Ircher's most recent equation, though the creation of
Thus, any positive integer could, given sufficient iterations, be created simply by concatenation. But the next number wouldn't be so created—rather, Coug did a clever trick to do the exact opposite.
Coug gasped. Wasn't that against the rules? He could always create 11 himself, but keleven? Would Jake accept that as a number? He withheld his own powers until he had an answer.
10
+
1
=
11
Last edited by StrangerCoug on Tue Sep 01, 2020 11:19 am, edited 1 time in total.
Among the Greek letters that existed, there were pi and tau. Now there would be zeta(2), though that being a function with a number Coug had already created as a sole argument, he couldn't directly use the function. However, he knew what the function would output:
"Square roots of square roots?" Coug asked. He saw that, by simplification, the square root of the square root was the fourth root, and the square root of the square root of the square root was the eighth root. But why did the root have to be a power of two? Odd roots had the power that taking one of a negative real number gave another negative real number.