5040
Finally , a time- and temperature-dependent formulation for the material ’ s density is also computed , which is then integrated along with the other thermal properties in the heat equation .
 material: material; material: s; machanical property: density; concept or principle: thermal properties; concept or principle: heat
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: material, s, density, thermal properties, heat 
Answer:
 material: material; material: s; machanical property: density; concept or principle: thermal properties; concept or principle: heat