Jun 8, 2013 · Is there a macro in latex to write ceil(x) and floor(x) in short form? The long form \\left \\lceil{x}\\right \\rceil is a bit lengthy to type every time it is used.

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The floor function turns continuous integration problems in to discrete problems, meaning that while you are still "looking for the area under a curve" all of the curves become rectangles.

Feb 17, 2013 · 4 If you try asking Wolfram Alpha to differentiate the floor function, it will just output "Floor' (x)". If you force Wolfram Alpha to plot the derivative of the floor function, I think what …

Proving the general formula [nx] where [.] is the floor function. Ask Question Asked 10 years, 10 months ago Modified 8 years, 4 months ago

The correct answer is it depends how you define floor and ceil. You could define as shown here the more common way with always rounding downward or upward on the number line. OR …

As k k relates to n n, we have a floor-function boundary for the RHS when k ∈ {−1, 0} k ∈ {1, 0} and also at k ∈ {n − 1, n} k ∈ {n 1, n}, so these values need to be checked on the LHS to verify …

Nov 2, 2015 · I checked several thousand natural numbers and observed that ⌊n!/e⌋ ⌊ n! / e ⌋ seems to always be an even number. Is it indeed true for all n ∈N n ∈ N? How can we prove …

In class, we briefly covered what "floor" and "ceiling" mean. Very simple concepts. They were on one slide, and then we never heard about them again. But now the following homework …

Oct 19, 2014 · Limit of floor function when x x goes infinity Ask Question Asked 10 years, 9 months ago Modified 10 years, 8 months ago