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The DME digital enterprise model is created in the DP digital parameter space. Between them, 
from the standpoint of information I, there is an informational correspondence, shown in 
expression (4).
𝐼
(
𝑅𝑀𝐸
) = 
𝐼
(
𝐷𝑀𝐸
) (4)
Expression (4) describes the informational state. From the standpoint of logic [], the 
models of real and digital enterprises are equivalent, as shown in expression (5) 
𝑅
𝑀𝐸
(
𝑅𝑃
) = 
𝐷𝑀𝐸
(
𝐷𝑃
) (5)
Expression (5) describes the informational and logical state. The parameters of the 
virtual IEM model evolve synchronously with the changes of a living business. This dynamic 
process is shown in expression (6).
∆
S (RME) 
→
∆
RP (6)
Expression (6) means, that a change of the state of a real enterprise 
Δ
S(RME) in real 
space entails a change of the parameters 
Δ
RP of a real enterprise. This change in 
∆
RP entails a 
change of parameters 
∆
DP in the virtual digital space. This cause-and-effect process is 
reflected by the expression (7).
∆𝑅𝑃
→
∆𝐷𝑃
(7)
Change of the parameters 
∆
DP of a digital enterprise entails a change of the state 
∆
S(DME) of the digital enterprise in virtual space. This management process is reproduced by 
the expression (8).
∆𝐷𝑃
→
∆𝑆
(
𝐷𝑀𝐸
) (8).
A change in the state of a digital enterprise when reflected in a multitude of management 
languages (management rules) produces management effects on the digital enterprise. This 
management process is reproduced by the expression (9).
∆𝑆
(
𝐷𝑀𝐸
) 

𝐿𝑐
→
𝐶𝑑
(
𝐷𝑀𝐸
) (9)
Management effects on a digital enterprise are replicated to the space of a real 
enterprise and create management effects on a real enterprise. This management process is 
reproduced by the expression (10).
𝐶𝑑
(
𝐷𝑀𝐸
) 
→
𝐶𝑑
(
𝑅𝑀𝐸
) (10)
The management effects on the real enterprise transfer it into a new state S *. This 
management process is reproduced by the expression (11).
𝐶𝑑
(
𝑅𝑀𝐸
) 
→
𝑆
∗
(
𝑅𝑀𝐸
) (11)
the new state S* corresponds to the target state St. This informational process is 
reflected by expression (12).
𝑆
∗
(
𝑅𝑀𝐸
) = 
𝑆ц
(
𝑅𝑀𝐸
) (12)
Thus, the real enterprise is managed, during which the following is used: cause-and-
effect relationship, state models, equivalence rules and management processes. The set of 
expressions (4) - (12) reflects the management chain of managing a real enterprise using a 
digital twin. Universality. Universality reveals the quality content of the management 
language. This language is not arbitrary, but includes management standards, standardized 
management rules, acceptable optimality criteria. It should be emphasized once again, that 
this language is not a language of descriptive description, but the language of cybernetic 
management, which includes rules, regulations and rules for constructing new rules. 

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