# How do I write this?

#### nicksauce

Homework Helper
I have a solution for a PDE

$$U(x,t)=y^2e^{-3x} + h(x)$$

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:
$$h(x)\in \{f(x)|f(0)=1\}$$

Does that make sense?

#### arildno

Homework Helper
Gold Member
Dearly Missed
Sure, it's a fancy-pants way of putting it.

#### nicksauce

Homework Helper
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

Homework Helper
True; is there a symbolic way to write 'continuous'?

#### axeae

$$\text{yeah, if } f(x) \text{ is continuous on an interval } [a,b] \text{ then } f(x) \in C[a,b]$$

Last edited:

#### HallsofIvy

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

#### nicksauce

Homework Helper
I am just a tiny bit concerned that your formula,
$$U(x,t)=y^2e^{-3x} + h(x)$$
has U(x,t) on the left but a "y" and no "t" on the right!
Lol woops, should be U(x,y)

#### bomba923

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

#### axeae

oh wow, i guess ive been doing latex so much i forgot not everything else uses \ instead of /

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving