Understanding Rudin's Notation: Problem #16 in Chapter 6

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It's problem #16 for Chapter 6 if anyone answering has the book handy.

[x]/x^s + 1.

What does he mean by [x]?
 
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I don't have it. Somebody stole it. But in case you don't get a more definitive answer [x] probably means the smallest integer less that x.
 
Dick said:
I don't have it. Somebody stole it. But in case you don't get a more definitive answer [x] probably means the smallest integer less that x.

Dick, you probably mean the greatest integer less than or equal to x.
 
He states what it means in the problem.

"where [x] denotes the greatest integer ≤ x"
 
Mark44 said:
Dick, you probably mean the greatest integer less than or equal to x.

That's more than probable. It's certain. Ooops. Thanks.
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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