Math Is Fun Forum

kappa_am

Member

Registered: 2013-12-20

Posts: 63

writing in formal language

hi all,
I would like to write following expression using math symbols. since my study branch is not mathematics I am a little confused. I would be grateful if someone help me.

I like to say: set A is subset of integer mod N (N= 2^|A|) and there are at least M member of set A that are smaller than or equal to 2^(M-1)

for example: A={1, 2, 3, 3}. it is subset of integer mod 16 and there are 1 member <= 2^0 , 2 member <= 2^1, 4 member <= 2^2 and 4 member <= 2^3.

how can write this in formal language?

thank you

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: writing in formal language

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NB: If A = {1,2,3,3}, then A has three members, not four. We never count the same member in a set more than once.

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Bassaricyon neblina

kappa_am

Member

Registered: 2013-12-20

Posts: 63

Re: writing in formal language

this is a engineering work, and may be a little different from pure mathematics. the member of the set is defined by number of the power converter those may have equal output voltage (same value in the set).

another question is that can not we show a set of mod n as ℤn?