Looking for a function family with specific requirements. | Mathematics | Page 1

keen saffron Apr 23, 2026, 4:18 AM

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Hi, I'm wondering if anyone on here knows of a function family that can meet these requirements (in the first quadrant):

left timberBOT Apr 23, 2026, 4:18 AM

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winged acorn Apr 23, 2026, 4:21 AM

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do you have any ideas?

keen saffron Apr 23, 2026, 4:27 AM

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okay what's the command to type in latex

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I haven't been on here in a while

winged acorn Apr 23, 2026, 4:28 AM

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$text$

exotic anchorBOT Apr 23, 2026, 4:28 AM

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HChan

keen saffron Apr 23, 2026, 4:29 AM

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oh that's chill

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I've asked around in multiple discords and it seems like $\frac{1}{x}e^{-(x-t)^2}$ works, now just working on adding more parameters in

exotic anchorBOT Apr 23, 2026, 4:31 AM

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seanc

keen saffron Apr 23, 2026, 4:37 AM

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Is $\frac{a}{x}e^{-b(x-c)^2}$ the most general case that meets my requirements or am I missing something?

exotic anchorBOT Apr 23, 2026, 4:37 AM

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seanc

winged acorn Apr 23, 2026, 4:45 AM

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there is no "most general case"

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you can always keep generalizing

keen saffron Apr 23, 2026, 5:04 AM

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well, specifically for this gaussian divided by x idea

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the x could be raised to higher integer powers ig

winged acorn Apr 23, 2026, 5:06 AM

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you have an answer, that's good enough

#Looking for a function family with specific requirements.