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Fill in each blank with an appropriate preposition: in, to, among, of, for, into, at. One preposition may be used several times.
1. Mathematics ranks … the highest cultural developments … man.
2. Mathematical reasoning is … the highest level known …man.
3. Mathematical style aims … brevity and perfection.
4. Arithmetic, geometry, and astronomy were to the classical Greece music … the soul and art … the mind.
5. Most mathematicians claim that there is great beauty … their science.
6. …1933, George Birkhoff, one … the most distinguished mathematicians … his generation, attempted to apply mathematics … art.
7. Joseph Fourier showed that all sounds, vocal and instrumental, simple and com- plex, are completely describable … mathematical terms.
8. Each musical sound, however complex, is merely a combination … simple sounds.
9. Thus, thanks … Fourier, the nature … musical sounds is now clear … us.
10. The role of mathematics … music stretches even …the composition itself.
11. Masters, such as Bach, constructed and advocated vast mathematical theories … the composition … music.
12. … such theories, cold reason rather than feeling and emotions produce the crea- tive pattern.
13. Through Fourier’s theorem, music leads itself perfectly … mathematical descrip- tion.
14. Hence, the most abstract … the arts can be transcribed … the most abstract … the sciences.

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Haskky
Haskky
4,5(57 оценок)
at /of  // Первые два не очень уверен какая то муть остальне нормamong totoof ofinin of of ininofto of forin intoof inAmong inof in of

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саня1321
саня1321
4,4(60 оценок)
You must listen to the teacher. you must learn english rules. you must do homework every day. you mustn't run and jump in school. you mustn't late for class. you mustn't forget to bring textbook.

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