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comment Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
Tommi that is the nearest integer function.
Apr
19
comment Probability Binomial Distribution Question
What are you having trouble with?
Apr
18
comment Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
I think you have been very helpful. I didn't notice the error that you pointed out. Do you still think the question is flawed?
Apr
17
comment Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
I did not see your comment. In any case thanks for the input. I thought your example was for all c.
Apr
17
comment Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
That's what I wrote. But thanks for pointing this out.
Apr
17
revised Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
making it more clear
Apr
17
comment Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
$\lim_{x \rightarrow [x_0]}f(x)=[f(x_0)]$ is that better?
Apr
17
revised Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
making it more clear
Apr
17
revised Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
making it more clear
Apr
17
comment Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
But what I've said is that $\lim_{x \rightarrow [x]} f(x) = [f(x)]$
Apr
17
revised Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
added some images to make the question more clear
Apr
17
comment Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
$f (x) = x+ \sin (\pi x)$ (for example) works if $\delta < ~.26$ for $f (x) = 100\sin (\pi x)+ x$ we need $\delta < ~.004$ because it is close to (‐1,0) but it will not pass through (‐1,0) ... So I dont think that works.
Apr
17
comment Find a function so whenever it is near a lattice point $\lim_{x \rightarrow [x_0]}f(x)=[y_0]$
By the way what notation would you use?
Apr
17
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Apr
17
accepted Real and imaginary parts of the Möbius transformation
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17
accepted How many distinct n-letter “words” can be formed from a set of k letters where some of the letters are repeated?
Apr
17
accepted What is the order of the set of distinct (up to similarity) nxn matrices over R?
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17
accepted Is there a gamma-like function for the q-factorial?
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17
revised How many ways I can place some, possibly all, five distinct balls into three distinguishable bins?
better title
Apr
17
accepted How many ways I can place some, possibly all, five distinct balls into three distinguishable bins?