or

## It's All About the Numbers

A cache by Yellow ants
Hidden : 1/28/2011
In Nordrhein-Westfalen, Germany
Difficulty:
Terrain:

Size:  (small)

#### Watch

How Geocaching Works

Please note Use of geocaching.com services is subject to the terms and conditions in our disclaimer.

# — It's All About the Numbers —

Achtung: Algebra! — Warning: Algebra!

Auf den Koordinaten N50° 44.101 E007° 05.918 befindet sich das Max-Planck-Institut für Mathematik. Das ist für die Lösung des Caches janz ejal; es ist aber näher als 2 km versteckt. Der Text zum Cache – außer dieser Satz – ist leider nur in Englisch erhältlich. Der Endlokation ist tagsüber extrem muggelich und das heben der Cache ist deswegen beim Nacht empfohlen.

The coordinates N50° 44.101 E007° 05.918 are those of the Max Planck Institute for Mathematics in Bonn and are quite irrelevant for solving the puzzle. The cache is hidden within 2 km of them, though. The final location is extremely bemuggled by day, so it is recommended to go find the cache at night.

## Research

Ignore the first column for now. Notice that some of the cells in the fourth column already contains something. This means that what was discovered or invented has multiple values, and you are searching for the specific one mentioned here.

Symbol  -  Discovered or invented by  -  Year  -  Parameter
α   Pierre de Fermat   -   F3
ρ   Leonhard Euler   1727/8
ι   Ivan Pervushin   1883
θ   William Jones   1706
μ   Eugène Catalan   -   C6
ω   Siméon Denis Poisson   1838   λ = 4

## Apply

Take the numbers you have found for the fourth column and substitute them for the symbols from the first column used here:

N50° log2 ((ι - ρθ·√-1) · 2-18) + (689 + μ)1000 placeholder E007° Var(ω) - (2α - 102)103 + ρ

Help is close by if you are in doubt of the definitions of log and Var. If the North coordinate is giving you trouble, you may want to look here. The North coordinate is a rational number (i.e. you get an exact value), while the East coordinate is transcendental. Round the East coordinate to three decimal places using normal rounding rules. Then use the online geochecker to validate your solution and get a hint for the final location.

Also on OC.DE.

### Inventory

There are no Trackables in this cache.

Find...

### 141 Logged Visits

119      4      6      3      3      1      5

**Warning! Spoilers may be included in the descriptions or links.