Help with Riemann Sum Notation

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The discussion focuses on understanding Riemann Sum notation, particularly the floor function denoted by \lfloor x \rfloor, which rounds down to the nearest integer. Participants clarify that this notation is essential for solving problems related to Riemann Sums. Examples are provided to illustrate how the floor function works with various decimal values. The conversation emphasizes the importance of grasping this notation to tackle related homework questions effectively. Understanding the floor function is crucial for progressing in Riemann Sum problems.
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Homework Statement


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Homework Equations


The question is related to Riemann Sums


The Attempt at a Solution


I can not understand the notation of the question.
Can someone explain the question to me.
Or solve the question, i will understand it myself.
Thanks
 
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Which notation are you unfamiliar with? I'll just take a stab at it now and assume you haven't seen \lfloor x \rfloor before; these brackets represent the "floor function" which rounds down to the nearest integer.

For example
\lfloor 1.2 \rfloor = 1
\lfloor 0.999 \rfloor = 0
\lfloor 4 \rfloor = 4
 
JHamm said:
Which notation are you unfamiliar with? I'll just take a stab at it now and assume you haven't seen \lfloor x \rfloor before; these brackets represent the "floor function" which rounds down to the nearest integer.

For example
\lfloor 1.2 \rfloor = 1
\lfloor 0.999 \rfloor = 0
\lfloor 4 \rfloor = 4

Thanks a lot.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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