skhunted

Governments must introduce permanent income and wealth taxes on the top 1 percent, ban or punitively tax carbon-intensive luxury consumptions —starting with private jets and superyachts— and regulate corporations and investors to drastically and fairly reduce their emissions.

Your response is that English also overuses another word. I don't understand the point you are trying to make.

It’s understandable that you don’t like the desensitization of war that comes from our over usage of the word. Perhaps it speaks to a defect in American culture but this is how we communicate in our language. I think Arabic has too much emphasis on allah related phrases. But that’s how they speak. Nothing I can do about it. I don’t think said usage implies anything about their writing abilities.

Functions are also referred to as maps or transformations, de- pending on the context.

This after defining a function in essentially the same I did.

Terry Tao writes in his analysis book:

Functions are also referred to as maps or transformations, depending on the context.

Tao certainly knows more about this than I ever will.

You have 6 posts in the thread started by my top comment. I had multiple replies to one of your posts because HN requires one to wait a while to reply and I was in a hurry. The order of posts doesn’t matter. At least not to me.

Insinuating I’m obsessive has a negative connotation. Along with outright insults such comments make you look bad and unreasonable.

That's definitely a way to narrow down potential employers. Hope it works for him but he comes across...off to me.

The vast majority of so called real world problems aren’t things people who use math in their jobs actually do.

In real analyis one is interested in functions from R^n to R. They don't define function to be only something from R^n to R. It's just that these are the functions they wish to study. They don't define function to exclusively be a map from R^n to R. It’s just that these are the types of functions they care about.

No mathematician can possibly think function is anything other than a subset of the product of two spaces that meets a certain condition.

Interesting. So you think there are functions in real analysis that are studied that don't meet the definition I gave? Is there a functional that does not meet the definition I gave?

In all contexts a function is a subset of the product of two sets that meets a certain condition. Anything that does not meet this definition is not called a function.

Every functional meets the definition of function.

This is a fine example of irony.

Let V be a vector space over the reals and L a functional. Let v be a particular element of V. L(v) is a real number. It is a single value. L(v) can't be 1.2 and also 3.4. Thus L is a function.

A function is simply a subset of the product of two sets with the property that if (a,b) and (a, c) are in this subset then b=c.

Can you find a functional that does not meet this criterion? If so then you have an object such that L maps v to a and also maps v to c with a and c being different elements.

Find me a linear map that does not meet the definition of function. Give an example of a functional in which the functional takes a given input to more than one element of the target set.

I think you are not a mathematician and you also don't appear to understand that a word can have different meanings based on context. "generating function" isn't the same thing as "function". Notice that generating is paired with function in the first phrase.

Example: Jellyfish is not a jelly and not a fish. Biologists have got it all wrong!

Do you believe migrant labor in the U.S. are treated with dignity and are treated well? What about illegal immigrants working in slaughterhouses? More generally speaking, do you believe there are classes of people who are treated poorly?

If such people exist then isn’t it valid to describe them accurately and to describe how “the system” treats them?

Some books will say: a functional is a linear map….

Note that a linear map is a function.

This is incorrect. In mathematics there is a single definition of function. There is no conflict or contradiction. In all cases a function is a subset of the cross product of two spaces that satisfies a certain condition.

What changes from subject to subject is what the underlying spaces of interest are.

As with all healthcare systems if there is a shortage of workers or it is not properly funded it will deteriorate. The U.S. healthcare system sucks for people who have no real access to it. The wait time of someone with no access to the system is effectively infinity.

Socialism, capitalism, communism, fascism, etc. are merely economic systems and all of them suck if not properly administered.