Jump to content
• Sign Up

# Function question (split from Ordinary differential equation)

## Recommended Posts

I need someone to tell me what u(.,t) means when u is a function of x and t. x is in Rn

Edited by Niyilium
Incomplete

#### Share this post

##### Share on other sites

It means the function defined on $$\mathbb{R}^n$$ that maps $$x$$ to $$u(x,t).$$

#### Share this post

##### Share on other sites

For example, if u(x, t)= x2+ t2 then u(., t) is the function that takes 3 to the function u(3, t)= 9+ t2, that takes 5 to u(5, t)= 25+ t2, etc.  It maps a number to a function.

#### Share this post

##### Share on other sites

Is this the same as currying? (I have never seen this notation before .... )

#### Share this post

##### Share on other sites
1 hour ago, HallsofIvy said:

For example, if u(x, t)= x2+ t2 then u(., t) is the function that takes 3 to the function u(3, t)= 9+ t2, that takes 5 to u(5, t)= 25+ t2, etc.  It maps a number to a function.

This is not an example of what I wrote . It also makes sense, but I cannot recall having seen it before.

## Create an account or sign in to comment

You need to be a member in order to leave a comment

## Create an account

Sign up for a new account in our community. It's easy!

Register a new account

## Sign in

Already have an account? Sign in here.

Sign In Now

×

• #### Activity

• Leaderboard
×
• Create New...

## Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.