People actually get paid taxpayer money to write this gibberish?

Because even though you can't be, paper-pushing bureaucrats can be convinced of the long-term benefits of mathematical research

>>9092335
>How does that make any economic sense?

You must understand academia economics. The first thing that you need to accept is that someone produces no value to a business then that person gets fired. So the question is, what value do mathematicians produce? The first one is obvious: teaching. Every year many students of mathematics sign up to be taught mathematics and if you do not teach them then they will go away to another place, losing the university money. And usually, math professors teach all over the place, not only in the math department but to scientists, economists, etc.

That said, there is other way in which mathematicians are able to produce value: research. If your university does not produce research then people will hardly consider you a university and you will quickly dip in the rankings and every time a prodigy student to be looks up your university's credentials they will see that your university is shit and therefore their time would be better spent somewhere else. So universities need researchers to keep reputation and to attract the good types of student. Good students pick schools mostly based on who they will be able to do research under. But that is just baseline produce any research type of value. There is another incentive that ties this up: the value of good research. If one of your researchers becomes famous then your university immediately gets a spot in the map. People will want to go to the conferences of your school, and other universities will want to invite your mathematicians to their conferences. This will in turn inspire the new generation of prodigies to get into your university for the possibility of researching under your famous researchers.

And that is the economic value of research mathematics. You are welcome.

>>9092335
>proof
>omited

every fucker who do this should kill himself

>>9092335
It's gibberish because it was generated by a RNN, you retard.
http://karpathy.github.io/2015/05/21/rnn-effectiveness/

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>>9092335
>muh taxpayer moneyz
GTFO Peasant

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>>9092335

>>9092335
if serious then kys because you are beyond brainlet tier

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>>9092446
this

I hate faggots who write a fucking textbook thinking only grad students will read that shit

>>9092335
"Pure" math is in many ways ancillary to the growth of the sciences, including "profitable" applications which it supports or makes possible, either directly or through intermediate scientific advances. The idea is that if you relax the restrictions from "immediately profitable and marketable research," you open up new opportunities across the board, both in the shared fruits of public research and in the private sector.
Besides that, public funding based solely on potential/quality of research opens up a new sort of "pseudo-market" competition between different individual scientists and their departments, which ultimately selects for more important or impressive research, by providing those who produce it with better advancement opportunities and professional recognition. The notion of judging an institution's quality by the quality of research it produces (as determined by the scientific community, rather than market exchange) is entirely an outgrowth of publicly funded research. In its absence we'd see universities become little more than degree mills which can only differentiate themselves from one another based on things like accepted student profiles and job placement after graduation, meaning the pressure deforms them into essentially pre-career training.
Also, and it goes without saying, a market is a market is a market. Market exchange does a terrible job of coordinating private profit with social need.

>>9092654
I wish the rnn learned "an exercise for the reader"