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OriginalGriff wrote: Does that mean I have to become racist and get a comb-over? Good one.
I think I laugh more often reading your comments than any other poster on this site.
Unfortunately, our nation seems to like ping-pong-ING winners and we might just get that one this time. If you wait four years we may be ready to elect another president that makes sense. (That's optimistic, we also usually re-elect the screw-ups as well as the decent ones.)
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Strangely, neither. 360° ^= 2.06 or something thereabouts.
If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson
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Yes, now that I've learned how to click the "pi" button on Microsoft Calc, I'm home free.
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Looks like there's something weird going on with frequency and phase shift: Take 3.1415 as phase shift and then look at the graphs for the frequencies 1 and 2..
That 2.06 value I got with a frequency of 3: Look at phase shifts 0, 0.5, 1, 1.5, 2.06 ..
If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson
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It looks fine for me: 2.06 radians as a phase shift with a frequency of 3 looks about right given that
3 * (2.06 / 2) = 3.09 ~= π
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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The effect of the phase shift should be independent of the frequency. A phase shift of π will always "flip" a sine graph horizontally. Now enter a frequency of 2 and look at the graphs for a phase shift of 0 and then 3.141
If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson
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See what you mean, but I see what they are doing as well.
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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OriginalGriff wrote: but I see what they are doing as well. Don't think so:
f=2, p=0 -> draw yellow, add, add -> double amplitude
f=2, p=0 -> draw yellow, add; f=2, p=3.141 -> add -> double amplitude, should be flat.
If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson
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Wikipedia: In general, mathematically important relationships between the sine and cosine functions and the exponential function (see, for example, Euler's formula) are substantially simplified when angles are expressed in radians, rather than in degrees, grads or other units. Therefore, in most branches of mathematics beyond practical geometry, angles are generally assumed to be expressed in radians.
And that's the case in .NET or JavaScript and Java and PHP too...All except radians and not degrees...
Skipper: We'll fix it.
Alex: Fix it? How you gonna fix this?
Skipper: Grit, spit and a whole lotta duct tape.
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360 degrees is just for the stupid humans since we like whole numbers. Non-rational numbers aren't so nice for us.
Pi is a number to describe the relations in a circle, and it is basically how Sinus and Cosinus are defined.
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Kenneth Haugland wrote: how Sinus and Cosinus are defined
Are you sure about that? The ratio of sides of a triangle is totally independent of the units used to measure the angle.
I am not a number. I am a ... no, wait!
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Well, its all connected:
Sin(2*pi*n) = 0
Without pi the Taylor series is sin and cosine is pretty much useless in Fourier Transform for instance.
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I think that 2π is very nice...
Skipper: We'll fix it.
Alex: Fix it? How you gonna fix this?
Skipper: Grit, spit and a whole lotta duct tape.
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I prefer ><(((o> π
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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I meant apple π and cherry π
Skipper: We'll fix it.
Alex: Fix it? How you gonna fix this?
Skipper: Grit, spit and a whole lotta duct tape.
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Wouldn't that be iπ?
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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Shakespeare Geometry: 2π or not 2π? (That is the question.)
- I would love to change the world, but they won’t give me the source code.
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That's why I bought a watch in 2 PI
modified 19-Jan-21 21:04pm.
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Now if only I could make the lines fatter, and choose the color !
Beggars can't be choosers ? Bah ! Humbug !
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Your find is perfect for adding two waves. Thank you.
I am now on my own little quest to find some freeware/cheapware that will let me do the same thing with a bunch of functions, and then let me choose which graphs to add (e.g., add graph "A" to graph "B", and graph "C", and draw the result as the target graph, whatever). A wide across-the-screen strip would be cool.
Graphing was always the sore point for me in math courses. Today's kids don't know how good they have it with mathematical graphing.
Thirty minutes with DESMOS[^] and I made THIS GRAPH[^] which shows all the inputs, which is good. I also want to show my reader the output (i.e., the five waves added together as a single curve)
I found THIS PAGE[^] which could keep me busy for months just evaluating the 118 possible suitors.
Opinions / advice on these or others will be welcome.
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IMHO, having the words - 'superpose', 'superposition' - may yield better results.
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If you have problems finding this on google, you might just as well create a program that does it
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Hold it, Microsoft Excel will do that, I think. Yes ? No ?
Will LibreOffice Impress also do the same thing ?
I seem to remember this from 3 or 4 years ago. We did this with some procedure.
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No, please sir, not Excel. Its sooo crude that any person can use it
And dont get me started on the macros, one for every operation
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