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From:         Spehro Pefhany <speff@INTERLOG.COM>
Subject: Re: [OT:] Curves intersection
To:           PICLIST@MITVMA.MIT.EDU
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At 09:34 PM 1/27/2004 -0400, you wrote:
>Hi all:
>
>    I got to admit that I am struggling with something that I should know=
 as
>an engineer. I need to find analitically the points of intersection of two
>curves, that is:
>
>I)   y=3D 1-(x*x)
>
>II) y=3D sen(x)
>
>
>Normally that would be as simple as doing I=3DII and resolving but in this
>case the fact that II is a trigonometrical ecuation brings some issues to
>the resolution. Having 1 - (x*x) =3D sen(x)  I can=B4t find a way to get=
 the
>posible values for x. I could try a graphical solution but I want the
>analitical (i.e. numerical) solution. Any ideas?

Solving numerically,
assuming that sen(x)  is sin(x), and that x is in radians, then

x ~=3D -1.409624004

Analytically, there may or may not be a solution. As an Engineer, I
don't really care as I just want the answer to sufficient accuracy for
my purposes.

Best regards,

Spehro Pefhany --"it's the network..."            "The Journey is the=
 reward"
speff@interlog.com             Info for manufacturers: http://www.trexon.com
Embedded software/hardware/analog  Info for designers:  http://www.speff.com

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