File:Sin x*x.pdf
Summary
| Description |
English: Plot of the function sin(x2). It is bounded, hence in O(1), and has a derivative, viz. 2x*cos(x2) which is unbounded, and in O(x), but not in O(1). |
| Date | |
| Source | Own work |
| Author | Jochen Burghardt |
| Other versions | File:Sin x*x.pdf * File:Sin x*x svg.svg |
Gnuplot source code |
|---|
set xrange [-0.1:5.1]
set yrange [-1.1:1.1]
set xtics 1
set samples 2000
set grid
set format "%.0f"
set key bottom left
set title "sin(x^2) vs. sin(x) [x axis: 1 = 360^o = 2*pi]"
plot sin(x*x*2*pi) with lines lc 7 lw 2 title "sin(x^2)"
replot sin(x*2*pi) with lines lc 0 lw 1 title "sin(x)"
pause -1
|
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