WEBVTT Kind:subtitles Language:en 00:00:04.000 --> 00:00:14.000 line:5% position:5% align:start Just for recording of this video clip, (recordmydesktop.exe has been started...) 00:00:14.000 --> 00:00:20.000 line:5% position:95% align:end CPU usage goes up to 40%. 00:00:20.000 --> 00:00:24.000 line:5% position:5% align:start So, from now, 00:00:24.000 --> 00:00:32.000 line:5% position:5% align:start we will evaluate the rest 60% of CPU capacity. 00:00:32.000 --> 00:00:42.000 line:5% position:5% align:start All right, let's start LibreOffice Calc. 00:00:54.000 --> 00:01:06.000 line:5% position:5% align:start Input 1 to all cells of [B1:O1]. (These will be select switchs of each column.) 00:01:10.000 --> 00:01:26.000 line:5% position:5% align:start Input incremental integer 1, 2, 3, 4, ... to [B2:O2]. (These will be "n".) 00:01:30.000 --> 00:01:46.000 line:5% position:5% align:start Calculate 2n+1 of every column and put them to [B3:O3]. 00:01:50.000 --> 00:02:06.000 line:5% position:5% align:start Input 0.1 incremental number 0, 0.1, 0.2, ... to [A6:A100]. (This will be "θ(rad)".) (10rad is nearly equal to 3π means 1.5 period.) 00:02:10.000 --> 00:03:10.000 line:5% position:5% align:start Calculate θ^(2n+1)/(2n+1)! for all cells across the field [A6:O100]. 00:03:20.000 --> 00:03:34.000 line:5% position:5% align:start Plot every columns separately according to θ. (Each column just only shows "θ to the power of n".) (Traces are varied by n.) 00:03:34.000 --> 00:03:38.000 line:5% position:5% align:start Move the graph. 00:03:38.000 --> 00:03:44.000 line:5% position:95% align:end Hmmm... it doesn't come with mouse dragging. 00:03:44.000 --> 00:04:00.000 line:5% position:5% align:start Sum up all colums and put them to [P6:P100]. 00:04:04.000 --> 00:04:20.000 line:5% position:5% align:start Plot the result. (Maclaurin series of sinθ.) 00:04:22.000 --> 00:04:28.000 line:5% position:5% align:start Fix X Y scales. 00:04:30.000 --> 00:04:33.000 line:5% position:95% align:end Whoa! graph shape is distorted for a moment, 00:04:33.000 --> 00:04:38.000 line:5% position:95% align:end And also, it doesn't come with mouse dragging. 00:04:50.000 --> 00:05:20.000 line:5% position:5% align:start Subtract columns one by one. 00:05:20.000 --> 00:05:50.000 line:5% position:5% align:start Conversely, add columns one by one. 00:05:55.000 --> 00:06:01.000 line:5% position:95% align:end It seems that CPU had been reached it's upper limit at the timing of re-plotting (with calcutation).