5616
The solution of the thermal problem is constructed from the superposition of analytical solutions for point sources which are known in semi-infinite space and complimentary numerical/analytical fields to impose the boundary conditions .
 concept or principle: solution; concept or principle: analytical solutions; concept or principle: boundary conditions
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: manufacturing standard, machanical property, manufacturing process, material, engineering feature, process parameter, machine or equipment, application, process characterization, enabling technology, biomedical, concept or principle 
Text: {0} 
 Entities: solution, analytical solutions, boundary conditions 
Answer:
 concept or principle: solution; concept or principle: analytical solutions; concept or principle: boundary conditions