Trying To Add Sine Waves
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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.
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.
"It never ceases to amaze me that a spacecraft launched in 1977 can be fixed remotely from Earth." ― Brian Cox
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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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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...
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 :laugh:
If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson
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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.
I prefer ><(((o> 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 :laugh:
If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson
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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I prefer ><(((o> π
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
I meant apple π and cherry π :-D
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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See what you mean, but I see what they are doing as well.
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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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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!
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 meant apple π and cherry π :-D
Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.
Wouldn't that be iπ?
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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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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Does that mean I have to become racist and get a comb-over? :laugh:
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OriginalGriff wrote:
Does that mean I have to become racist and get a comb-over?
Obama doesn't have a comb-over. :rolleyes:
The difficult we do right away... ...the impossible takes slightly longer.
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If you have problems finding this on google, you might just as well create a program that does it :D
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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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.
No, please sir, not Excel. Its sooo crude that any person can use it :laugh: And dont get me started on the macros, one for every operation :sigh:
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This do it? Wave Adder[^] My Google query was "how to add waves graphically" and it was the 6th link.
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
Now if only I could make the lines fatter, and choose the color ! Beggars can't be choosers ? Bah ! Humbug !
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That's it. Enter 3.14 instead of 180.
"Whereas smaller computer languages have features designed into them, C++ is unusual in having a whole swathe of functionality discovered, like a tract of 19th century Africa." -- Verity Stob http://www.theregister.co.uk/2006/05/05/cplusplus\_cli/
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Does that mean I have to become racist and get a comb-over? :laugh:
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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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This do it? Wave Adder[^] My Google query was "how to add waves graphically" and it was the 6th link.
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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.
