Exercise: You Be the Editor I

Can you figure out why the suggested answer (or answers) shown below each statement or phrase is an improvement on the original (in bold)?

Suggested Answers:

**1. These resu****lts were obtained jointly by Hilbert and myself.**

These results were obtained jointly by Hilbert and me.

Hilbert and I obtained these results jointly.

**2. If x > 0, then Euler proved in 1756 that . . .**

Euler proved in 1756 that if x > 0, then . . .

**3. Since this limit exists, then the series converges.**

Since this limit exists, the series converges.

Because this limit exists, the series converges.

**4. Obviously, every group G of prime order is simple.**

Every group of prime order is simple.

**5. Occurrences were observed in which . . . **

I saw . . .

**6. It has been noticed that . . . **

We have noticed that . . .

**7. The best one of those are in the book.**

The best one of those is in the book.

**8, She is one of those who enjoys mathematics.**

She is one of those who enjoy mathematics.

She enjoys mathematics.

**9. How is he doing in terms of calculus?**

How is he doing in calculus?

**10. We will learn in the next chapter, how to solve it.**

We will learn, in the next chapter, how to solve it.

We will learn in the next chapter how to solve it.

**11. Prove that any complex number is the product . . . **

Prove that every complex number is the product . . .

**12. If x > 1 f(x) < 0.**

If *x* > 1 then *f*(*x*) < 0.

**13. Substituting (3) into (7), the integral becomes π ^{2}/9.**

Substituting (3) into (7), we find that the integral is π^{2}/9.

When (3) is substituted into (7), the integral becomes π^{2}/9.

**14. There are several methods that are applicable.**

Several methods are applicable.