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If you are looking for complete answer, take a look at Mr. Wizard's :)

Also, see the comments of @JacobAkkerboom below, who proved I was too hasty. :)

I was right that the function OP is asking about at the end is Precedence but I was wrong in my interpretation of what is happening.

I will leave this for future visitors as it is not so obvious.

Also, everyone that upvoted, feel free to un-upvote if you wish :)

right part:

Precedence of functions is given by Precedence :)

More here: What are some useful, undocumented Mathematica functions?

"Good old fashioned" [] is safer but I really like @, I just have to remeber what is going to happen basing on my experiece, because no one will remember all precedences :)

In fact, sometimes I like to do f @ ( some code ). The more different brackets, the more transparent code is, IMO.

wrong part

Precedence[Apply] Precedence[Compose] 

620 670 

So that's why Tr[Times] is done before Times is applied to the list.

What is also an answer to your question about precedences of functions. It is Precedence, an undocumented function.

There is a discussion about what @ is. In my opinion f @ g does not mean that there's operation Prefix with f on g. Prefix is only a syntax form(?). What is happening is:

Compose[f, g] 

That's why I've checked Precedence of Compose.

More about Compose: Why there is no name... (this link is true itself :P)

As you see the wrong part is longer...

If you are looking for complete answer, take a look at Mr. Wizard's :)

Also, see the comments of @JacobAkkerboom below, who proved I was too hasty. :)

I was right that the function OP is asking about at the end is Precedence but I was wrong in my interpretation of what is happening.

I will leave this for future visitors as it is not so obvious.

Also, everyone that upvoted, feel free to un-upvote if you wish :)

right part:

Precedence of functions is given by Precedence :)

More here: What are some useful, undocumented Mathematica functions?

"Good old fashioned" [] is safer but I really like @, I just have to remeber what is going to happen basing on my experiece, because no one will remember all precedences :)

In fact, sometimes I like to do f @ ( some code ). The more different brackets, the more transparent code is, IMO.

wrong part

Precedence[Apply] Precedence[Compose] 

620 670 

So that's why Tr[Times] is done before Times is applied to the list.

What is also an answer to your question about precedences of functions. It is Precedence, an undocumented function.

There is a discussion about what @ is. In my opinion f @ g does not mean that there's operation Prefix with f on g. Prefix is only a syntax form(?). What is happening is:

Compose[f, g] 

That's why I've checked Precedence of Compose.

More about Compose: Why there is no name... (this link is true itself :P)

As you see the wrong part is longer...

If you are looking for complete answer, take a look at Mr. Wizard's :)

I was right that the function OP is asking about at the end is Precedence but I was wrong in my interpretation of what is happening.

I will leave this for future visitors as it is not so obvious.

Also, everyone that upvoted, feel free to un-upvote if you wish :)

right part:

Precedence of functions is given by Precedence :)

More here: What are some useful, undocumented Mathematica functions?

"Good old fashioned" [] is safer but I really like @, I just have to remeber what is going to happen basing on my experiece, because no one will remember all precedences :)

In fact, sometimes I like to do f @ ( some code ). The more different brackets, the more transparent code is, IMO.

wrong part

Precedence[Apply] Precedence[Compose] 

620 670 

So that's why Tr[Times] is done before Times is applied to the list.

What is also an answer to your question about precedences of functions. It is Precedence, an undocumented function.

There is a discussion about what @ is. In my opinion f @ g does not mean that there's operation Prefix with f on g. Prefix is only a syntax form(?). What is happening is:

Compose[f, g] 

That's why I've checked Precedence of Compose.

More about Compose: Why there is no name... (this link is true itself :P)

As you see the wrong part is longer...

If you are looking for complete answer, take a look at Mr. Wizard's :)

Also, see the comments of @JacobAkkerboom below, who proved I was too hasty. :)

I was right that the function OP is asking about at the end is Precedence but I was wrong in my interpretation of what is happening.

I will leave this for future visitors as it is not so obvious.

Also, everyone that upvoted, feel free to un-upvote if you wish :)

right part:

Precedence of functions is given by Precedence :)

More here: What are some useful, undocumented Mathematica functions?

"Good old fashioned" [] is safer but I really like @, I just have to remeber what is going to happen basing on my experiece, because no one will remember all precedences :)

In fact, sometimes I like to do f @ ( some code ). The more different brackets, the more transparent code is, IMO.

wrong part

Precedence[Apply] Precedence[Compose] 

620 670 

So that's why Tr[Times] is done before Times is applied to the list.

What is also an answer to your question about precedences of functions. It is Precedence, an undocumented function.

There is a discussion about what @ is. In my opinion f @ g does not mean that there's operation Prefix with f on g. Prefix is only a syntax form(?). What is happening is:

Compose[f, g] 

That's why I've checked Precedence of Compose.

More about Compose: Why there is no name... (this link is true itself :P)

As you see the wrong part is longer...

If I'm wrong please correct me, but I think it is because:

Precedence[Apply] Precedence[Compose] 

620 670 

So that's why Tr[Times] is done before Times is applied to the list.

What is also an answer to your question about precedences of functions. It is Precedence, an undocumented function.

"Good old fashioned" [] is safer but I really like @, I just have to remeber what is going to happen basing on my experiece, because no one will remember all precedences :)

In fact, sometimes I like to do f @ ( some code ). The more different brackets, the more transparent code is, IMO.

Just for the record. What are some useful, undocumented Mathematica functions?

There is a discussion about what @ is. In my opinion f @ g does not mean that there's operation Prefix with f on g. Prefix is only a syntax form(?). What is happening is:

Compose[f, g] 

That's why I've checked Precedence of Compose.

More about Compose: Why there is no name...

If you are looking for complete answer, take a look at Mr. Wizard's :)

I was right that the function OP is asking about at the end is Precedence but I was wrong in my interpretation of what is happening.

I will leave this for future visitors as it is not so obvious.

Also, everyone that upvoted, feel free to un-upvote if you wish :)

right part:

Precedence of functions is given by Precedence :)

More here: What are some useful, undocumented Mathematica functions?

"Good old fashioned" [] is safer but I really like @, I just have to remeber what is going to happen basing on my experiece, because no one will remember all precedences :)

In fact, sometimes I like to do f @ ( some code ). The more different brackets, the more transparent code is, IMO.

wrong part

Precedence[Apply] Precedence[Compose] 

620 670 

So that's why Tr[Times] is done before Times is applied to the list.

What is also an answer to your question about precedences of functions. It is Precedence, an undocumented function.

There is a discussion about what @ is. In my opinion f @ g does not mean that there's operation Prefix with f on g. Prefix is only a syntax form(?). What is happening is:

Compose[f, g] 

That's why I've checked Precedence of Compose.

More about Compose: Why there is no name... (this link is true itself :P)

As you see the wrong part is longer...