Here’s a little puzzle:

There exists a function ƒ(n) which takes a natural number n as an argument and returns a character.

It can be said with certainty that natural numbers smaller than 20 are in ƒ’s domain.

ƒ(n) for the first 15 values of n is exhibited in the image below, in the following order:

ƒ(1) ƒ(2) ƒ(3) ƒ(4) ƒ(5)

ƒ(6) ƒ(7) ƒ(8) ƒ(9) ƒ(10)

ƒ(11) ƒ(12) ƒ(13) ƒ(14) ƒ(15)

Click here for large size image

Define ƒ.

Estimate the domain of ƒ.

Hint:

Here is a dictionary.

Interesting reads

Mathematics & Applied Sciences

There exists a function ƒ(n) which takes a natural number n as an argument and returns a character.

It can be said with certainty that natural numbers smaller than 20 are in ƒ’s domain.

ƒ(n) for the first 15 values of n is exhibited in the image below, in the following order:

ƒ(6) ƒ(7) ƒ(8) ƒ(9) ƒ(10)

ƒ(11) ƒ(12) ƒ(13) ƒ(14) ƒ(15)

Click here for large size image

Define ƒ.

Estimate the domain of ƒ.

Hint:

Here is a dictionary.

Interesting reads

Mathematics & Applied Sciences

Labels: natural science, number theory

## 10 Comments:

The answers are not here. Come back on Monday.

Lol.. chinese cryptanalysis. Those words made no sense to me until I used the dictionary.

Looking at the first and last word, I'm guessing that the function is a strictly monotonously increasing one.

I am also wondering how to write berkelium in chinese.

Heh, come back when you have something more substantial.

Berlekium is 锫.

ƒ(s) = 锫 for a certain value of s.

u have something simpler?

I honestly think there's a prob with your question..what the hell is Xenon doing in there???

Goodness, you gave me a fright. If xenon was indeed there then I'd have made a catastrophic mistake.

Xenon is not in my list. The gasses i have written are helium, nitrogen and chlorine respectively.

氙 (xenon) is

notin the range of ƒ.The second gas, according to your dict, is THIS

Xenon?!

Also, now that you mentioned, if we follow your dic to find the first gas (according to bi hua), it corresponds to flourine. That's why I'm stuck. Can pls check it out haha.

Holy cow, that sucks!

It seems that there is a bug with the dictionary- if you click on the character next to the definition (which will bring up a list of phrases (ci2) associated with that character), it will be the correct definition. I'll have to drop the webmsater a note...

Here is another dictionary. Generate the character using the strokes with the earlier dictionary, and copy-paste it to this other dictionary.

Oh what the hell...

Helium, lithium, boron, nitrogen, sodium

aluminium, chlorine, potassium, vanadium, copper

gallium, rubidium, niobium, technetium, silver

1,2,3,5,7,11,13...

Shucks.. I was hoping for it to be the fibonachi series.

Yes, you wished for Fibonnachi so much that you conjured a one (1) out of thin air.

Note: Hydrogen is not in the range of ƒ.

The Fibonnachi series does not exhibit one-to-one correspondence between n and the n-th element of the series.

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