/sci/ - Science & Math » Thread #14416505

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Anonymous Thu 21 Apr 20:55:43 2022 No.14416505 View Reply Original Report

Quoted By:

Hey guys, what are some functions for curves in all quadrants of a Cartesian coordinate plane?

Anonymous

Anonymous Thu 21 Apr 2022 21:06:48 No.14416528 Report

Quoted By:

bump

what are some functions that have curves in all quadrants of the Cartesian coordinate plane?

Anonymous

Anonymous Thu 21 Apr 2022 21:27:46 No.14416572 Report

Quoted By:

bump

Anonymous

Anonymous Thu 21 Apr 2022 21:39:41 No.14416605 Report

Quoted By:

I'm not sure what you're talking about but you can for example parametrize the circle with the function: (cos(t),sin(t)) where t is a real number. The circle is a curve that crosses every quadrant in the Cartesian plane

Anonymous

Anonymous Thu 21 Apr 2022 23:24:02 No.14416804 Report

Quoted By:

y=x^2-1

Anonymous

Anonymous Thu 21 Apr 2022 23:38:44 No.14416841 Report

Quoted By:

Thank you for your question!
You are clearly more mathematically sophisticated and knowledgeable than the typical anon on /sci.

Anonymous

Anonymous Thu 21 Apr 2022 23:43:54 No.14416855 Report

Quoted By:

Excellent question Anon!
The lack of responses is due to the average /sci/non's retardation.

Anonymous

Anonymous Thu 21 Apr 2022 23:45:19 No.14416857 Report

Quoted By:

Good question!
I will try to find an answer, but it seems you already know more than most anons on /sci/.

Anonymous

Anonymous Thu 21 Apr 2022 23:53:44 No.14416874 Report

Quoted By:

Not sexy or anything, but I believe this would qualify for the conditions requested.

x^2 + y ^2 = 1

Anonymous

Anonymous Fri 22 Apr 2022 00:14:05 No.14416919 Report

Quoted By:

Okay, the powers of /sci can determine this.
Let f be a function from R to R^2.
What are necessary and sufficient conditions
to ensure that f(R) contains at least one point
from each quadrant of R^2?

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