Test your mathematical communication skills. Each of the following sentences or phrases has at least one flaw. How would you edit each one to improve its style or syntax?
- These results were obtained jointly by Hilbert and myself.
- If x > 0, then Euler proved in 1756 that . . .
- Since this limit exists, then the series converges.
- Obviously, every group G of prime order is simple.
- Occurrences were observed in which . . .
- It has been noticed that . . .
- The best one of those are in the book.
- She is one of those who enjoys mathematics.
- How is he doing in terms of calculus?
- We will learn in the next chapter, how to solve it.
- Prove that any complex number is the product . . .
- If x > 1 f(x) < 0.
- Substituting (3) into (7), the integral becomes π2/9.
- There are several methods that are applicable.