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

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Homework Help Overview

The discussion revolves around problem #16 from Chapter 6 of Rudin's text, specifically focusing on the notation used in the expression [x]/x^s + 1. Participants are trying to clarify the meaning of the notation [x].

Discussion Character

  • Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to interpret the notation [x] and are discussing its meaning in the context of the problem. There are differing opinions on whether it refers to the greatest integer less than or equal to x or the smallest integer less than x.

Discussion Status

The discussion is active, with participants providing insights and clarifications regarding the notation. Some guidance has been offered, particularly referencing the text itself for the definition of [x].

Contextual Notes

There is a mention of a participant not having access to the book, which may affect the clarity of the discussion. Additionally, there is some confusion regarding the precise definition of the notation being discussed.

TaylorWatts
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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.
 

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