1, the "fast" shape adjustment problem of active mirror
500-meter spherical radio telescope (FAST)-The 500-meter spherical radio telescope (FAST) is the largest and most sensitive single-aperture radio telescope in the world with independent intellectual property rights in China. Its completion and opening up are of great significance for China to achieve a major original breakthrough in the frontier of science and accelerate innovation-driven development.
2. Topic B Preparation of C4 olefins by ethanol coupling
C4 olefins are widely used in the production of chemical products and medicines, and ethanol is the raw material for preparing C4 olefins. In the preparation process, the combination of catalysts (that is, the combination of Co loading, Co/SiO2 _ 2/HAP loading ratio and ethanol concentration) and temperature will affect the selectivity and yield of C4 olefins (see Appendix for the explanation of terms). Therefore, it is of great significance and value to explore the technological conditions of preparing C4 olefins by catalytic coupling of ethanol through the design of catalyst combination.
3. Question C: Ordering and transportation of raw materials for production enterprises
The raw materials used by a building decorative board manufacturer are mainly wood fiber and other plant fiber materials, which can be divided into three types: A, B and C.
To arrange 48-week production every year, an enterprise needs to make a 24-week raw material ordering and transshipment plan in advance, that is, determine the raw material suppliers to be ordered (called suppliers) and the corresponding weekly raw material ordering quantity (called ordering quantity) according to the capacity demand, determine the third-party logistics company (called freight forwarder) and entrust it to transport the supplier's weekly raw material supply (called supply) to the enterprise warehouse.
Introduction to mathematical modeling
Mathematical modeling is to establish a mathematical model according to actual problems, solve the mathematical model, and then solve the actual problems according to the results.
When it is necessary to analyze and study a practical problem from a quantitative point of view, people should use mathematical symbols and language to establish a mathematical model on the basis of in-depth investigation, understanding of object information, making simplified assumptions and analyzing internal laws.