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RSS Feed for Wolfram Community showing any discussions in tag Equation Solving sorted by activeHow to derive an equation for a straight line through a circle?
https://community.wolfram.com/groups/-/m/t/1737251
Hi all,
I'm wondering if this task can be solved through Wolfram:
===========
Derive the equation y = kx for a straight line which cuts a 90 degrees arc of the circle
x2 + y2 - 6x - 2y + 5 = 0
The line goes through the origin.
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I can input them separately, but can't find anywhere to input them together so that I can visualize this and find the data properties. Specifically I need to find out the number k (with decimals).
Thanks in advance for your help!Knut Johan Osa2019-07-15T09:54:09ZConvolution of a Normal distribution and a Partially defined function
https://community.wolfram.com/groups/-/m/t/1736331
Hello, everybody,
in order to fit a distribution that I recently recorded in the course of a series of measurements, I need the convolution of these two equations (as fit function). Unfortunately I don't manage to calculate this convolution with Wolframalpha and the error "Standard computation time exceeded..." appears every time. <br />
<br />
**The two functions are: <br />**
1) e^(-(x)^2), 2) <br />
2) sqrt(1+(1/(1-x^2)))<br />
<br />
**The convolution integral then results in :<br />**
int [(sqrt(1+(1/(1-x^2)))) (e^(-(u-x)^2)) dx] <br />
<br />
**My input at Wolframalpha is the following: <br />**
**int [(sqrt(1+(1/(1-x^2)))) (e^(-(u-x)^2)) dx from -0.5..0.5]<br />**
**Because function 2 is periodic I have set limits for the Wolframalpha Code:<br />**
**I know that there is also a command for convolution , but it should do the same. <br />**
<br />
Maybe one of you can help me out and explain my mistake. That would be a great help. <br />
Thank,<br />
MMitch Mayerhofer2019-07-13T16:19:49Z