Question

Invisible numbers

Answer 1

3

Answer 2

for example
\[x=\frac {x^1}1\]
\[\sqrt y=y^{1/2}\]

Answer 3

what are some other examples?

Answer 4

x = 1x

Answer 5

\[\ln z=\log_ez\]
\[\log a=\log_{10}a\]

Answer 6

3= 3/1

Answer 7

Ahh, never mind, I gotcha:
\[
x^0=1=\frac{x}{x}\\\
\]

Answer 8

are there more/

Answer 9

\[0=\frac b\infty\]

Answer 10

\(i=\sqrt{-1}\)

Answer 11

Hmm... Well, the complex extensions...
\[
a\in \mathbb{R} \implies a=x+0i
\]

Answer 12

e^(2*pi*i) = 1

Answer 13

not sure if thats what you mean.

Answer 14

And:
\[
a \in \mathbb{Q} \implies \exists p,q\in \mathbb{Z} \text{ s.t. } a=\frac{p}{q}
\]

Answer 15

Er... I don't really know what to add... that doesn't digress too much.

Answer 16

\[c\%=\frac c{100}\]

Answer 17

\[d‰=\frac d{1000}\]

Answer 18

there's irrational numbers, pi, repeating decimals

Answer 19

\[f!=f(f-1)(f-2)...(3)(2)(1)\]

Answer 20

[this is an iteresting subject! => this is a true statement]
Explanation: the [] brackets here denote the Godel number of this statement
See http://www.eecis.udel.edu/~breech/contest.inet.spring.00/problems/godel.html
http://web.mit.edu/24.242/www/goedelnumbering.pdf
http://carolyn.org/godel2.html

Answer 21

\[6=\frac{6+0i}{1}\]\[1=1^{2^{3^4.....}}\]

Answer 22

\[\left(\begin{matrix}n \\ 0\end{matrix}\right)\sin^{n}(t)+\left(\begin{matrix}n \\ 1\end{matrix}\right)\sin^{n-2}(t)\cos^2(t)+\left(\begin{matrix}n \\ 2\end{matrix}\right)\sin^{n-4}(t)\cos^4(t)...\left(\begin{matrix}n \\ 0\end{matrix}\right)\cos^{n}(t)\]

Answer 23

here is my example: