How do I write this?

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nicksauce

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I have a solution for a PDE

[tex]U(x,t)=y^2e^{-3x} + h(x)[/tex]

Where h(x) is any function such that h(0) = 1

What notation can I use for this clause on h(x)?

My guess is:
[tex]h(x)\in \{f(x)|f(0)=1\}[/tex]

Does that make sense?
 

arildno

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Sure, it's a fancy-pants way of putting it.
 

nicksauce

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Sure, it's a fancy-pants way of putting it.
I like doing things the fancy-pants way :tongue:
 
Well if you want to be fancy pants, you might well want to mention what sort of hypotheses are needed on h, ie there probably should be some differentiability condition.
 

nicksauce

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True; is there a symbolic way to write 'continuous'?
 
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[tex] \text{yeah, if } f(x) \text{ is continuous on an interval } [a,b] \text{ then } f(x) \in C[a,b] [/tex]
 
Last edited:

HallsofIvy

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I am just a tiny bit concerned that your formula,
[tex]U(x,t)=y^2e^{-3x} + h(x)[/tex]
has U(x,t) on the left but a "y" and no "t" on the right!
 

nicksauce

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I am just a tiny bit concerned that your formula,
[tex]U(x,t)=y^2e^{-3x} + h(x)[/tex]
has U(x,t) on the left but a "y" and no "t" on the right!
Lol woops, should be U(x,y)
 
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off topic but does anyone know why my latex doesnt work? i tried doing it with a bunch of little [tex] and no \text but that didnt work, so i tried what i have now and just gave up and left it like that.
 

nicksauce

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Try using \textnormal

[tex]\textnormal{This is a test}[/tex]
 
You do not need \textnormal
[tex] \text{yeah, if } f(x) \text{ is continuous on an interval } [a,b] \text{ then } f(x) \in C[a,b] [\tex]
Simply finish with "/tex", not with "\tex", between the brackets
 
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oh wow, i guess ive been doing latex so much i forgot not everything else uses \ instead of /
 

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