Nothing. I believe you mean to run out of STEAM, which means that your "engine" doesn't have any "steam" in it - you've run out of energy or drive for something.
A stream gradient is the grade measure by the ratio of drop in elevation of a stream. It is expressed as feet per mile.
Divergent means to divert away from the main stream. To think in a divergent way would be to think outside of the box. Differently, part ways, be different.
This isn't an idiom. It is a proverb or saying because it means just what it seems to mean. Think about it. How could you use water if it's already gone down the river? If someone is always dwelling on the past, they're getting about as much done as a miller trying to use water that's already flowed past him. In other words, both of them are wasting time and energy on something that's just not going to happen.
The expression is go to great lengths or take great pains or be at pains to accomplish something, meaning to make a special effort, or show something clearly so that everyone will understand. No pain, no gain as Jane Fonda used to say!
You add the number of streams that branch off the main stream which is the first order then you add the number of streams branching off that stream whih becomes the 2nd order and the sum of the no. of stream orders divided by the number of streams gives the bifurcation ratio.
get scared or terrified
The phrase "laid eyes on" is an idiom.
No. It is an idiom.
That is the correct spelling of the verb "jog" which can mean a paced run. It can also mean to knock or bump, used in the idiom "jog your memory."
An idiom is a phrase that makes no sense unless you know the definition. Can a nose actually run somewhere? No, so this is an idiom.
Run rings around, I believe.
It is not an idiom, it means your nose is itching.
It's not really an idiom. It means "what are you thinking about."
RFP is not an idiom. It's an abbreviation.
Nothing. I think you meant to say running out of STEAM instead. Steam engines run when they have steam, and when they run out of it, they stop, so people say this when they are out of energy.
One example of an idiom in "The Book Thief" is "run like the wind," which means to run very fast or with great speed. In the book, this idiom is used to describe characters moving quickly or urgently.
"Sieve" is not an idiom. See the related link.