Re: [tlaplus] Defining State_I as the state at energy level \epsilon(I)

[marta zhango <martazhango@xxxxxxxxx>]

Would that translate to something like

{ s \in S :  \A i \in 1..n, k \in 1..m, j \in 1..p : E_i = \epsilon(i)} }

to mean the state s in S such that the energy of s is \epsilon(i)

for m macrostates and p microstates.

On Monday, April 29, 2024 at 5:41:46 PM UTC+12 Stephan Merz wrote:

TLA+ has bounded set comprehension:

{ x \in S : P(x) }

Unbounded comprehension is disallowed: this helps making the definition of Russell’s “set” illegal. 

Stephan

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Stephan Merz

On 29 Apr 2024, at 03:23, marta zhango <marta...@xxxxxxxxx> wrote:

How can I define State_I as the state at energy level \epsilon(I)} ?

State_I \in {energy_level : energy_level = \epsilon(I)}

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