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Thousalogue is a base googolism of the second order Hyper-L Notation invented by JTOnstead20. It is defined as $$L((3))$$ in the notation.[1] This means the following:

Take the reverse Log function of 3 to get 1000. Then use the double parenthesis to build a power tower starting with $$10^{1000^{1000^{...}}}$$ and going 1000 units high. This is roughly equivalent to $$1000\uparrow\uparrow 1000$$ in arrow notation.

## Approximations

Notation Approximation
Up-arrow notation $$1000\uparrow\uparrow 1000$$
Hyper-E notation $$E1000\#1000$$
BEAF $$\{1000,1000,2\}$$
Chained arrow notation $$1000 \rightarrow 1000 \rightarrow 2$$
Notation Array Notation (1000{2,2}1000)
Hyperfactorial array notation $$1000!1$$
Nested Factorial Notation $$1000![2]$$
Fast-growing hierarchy $$f_3(1000)$$
Hardy hierarchy $$H_{\omega^3}(1000)$$
Slow-growing hierarchy $$g_{\varepsilon_0}(1000)$$

## Sources

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