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Answer by C.F.G for Can you provide me historical examples of pure...

I am not sure that whether this is a real application or not but this is one of reasons that I don't want to exit from mathematics:Question: Is that possible to monitor each point on Earth in real time...

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Answer by b.sahu for Can you provide me historical examples of pure...

Formulas for calculating the value of $\pi$ to millions, billions and Trillions of digits seemed to have no practical utility. Testing new Computer technology, which were millions or billions of times...

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Answer by kjetil b halvorsen for Can you provide me historical examples of...

Matroid theory, invented by Hassler Whitney, have found many applications:http://en.wikipedia.org/wiki/Matroidhttp://www.amazon.com/Matroid-Applications-Encyclopedia-Mathematics-its/dp/0521119677

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Answer by Stefan Hansen for Can you provide me historical examples of pure...

Counting processes and martingales are objects I view as purely mathematical/probabilistic objects. Nevertheless, they fundamental objects when describing the theory of survival analysis - survival...

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Answer by Marc Wilson for Can you provide me historical examples of pure...

Matrix operations were used by Pauli to model electron spin.Pauli spin matrix

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Answer by Diego for Can you provide me historical examples of pure...

Just to add another example:Boolean algebra was developed in 1854: its abstract and maybe boring, but it set the basis for the development of digital circuits.So all the digital devices that you use...

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Answer by Karatuğ Ozan Bircan for Can you provide me historical examples of...

Topology helps understanding the molecular structures. See this book,When Topology Meets Chemistry: A Topological Look at Molecular Chirality written by Erica Flapan. I skimmed a few chapters of the...

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Answer by Ronnie Brown for Can you provide me historical examples of pure...

Error correction codes!When CDs were first being discussed, the engineers from Phillips were in discussion in Japan with the company Sony on standards, and those from Sony said they were not happy with...

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Answer by Elias Costa for Can you provide me historical examples of pure...

Here are examples of Applied mathematics :Group theory applied to crystallography: see PDF notes of summer curse in Mathematical and Theorycal CrystallographyUse of Mathematica Optimization in rigid...

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Answer by Jay for Can you provide me historical examples of pure mathematics...

This may be a little late but I think the most basic and pure proof and yet the most astonishing was Euclid'sWikipedia Entry on EuclidThere are uses in Digital Media, Cryptography, Physics and...

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Answer by Lie Ryan for Can you provide me historical examples of pure...

Fractals were invented specifically to explore areas of geometry which were thought to only exists in the world of imagination of pure mathematics. They failed miserably, because it turned out that the...

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Answer by user58743 for Can you provide me historical examples of pure...

The classical example of this for me it is just binary numbers and its properties (boolean algebra)

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Answer by François Constant for Can you provide me historical examples of...

MatrixNot the the movie, the "array of numbers"... It was invented before computers and it's now used for all heavy 3D stuffs (real-time or not) and more.It started as pure theory and it's now used in...

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Answer by user55647 for Can you provide me historical examples of pure...

Too many to count, many "pure mathematics" in the past become "applied mathematics" now.The problem with pure mathematics is that it has advanced too much for science and engineering to catch up...

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Answer by William for Can you provide me historical examples of pure...

How about in calculating orbital patterns (i.e. before the first satelite was ever launched). Without the work of pure mathematics laying the ground work for astro-physics, Apollo 13 would have been lost.

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Answer by DMINATOR for Can you provide me historical examples of pure...

Coming from software development background I can say that functional programming languages were influenced to some degree from Lambda Calculus, a formal system. Lambda Calculus was introduced by...

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Answer by KeithS for Can you provide me historical examples of pure...

Most of our current mathematical knowledge was developed to explain something already observed empirically. Going way back, many early civilizations had no concept of "zero" as being a numerical...

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Answer by Asaf Karagila for Can you provide me historical examples of pure...

Turing's development of computability which led to the theoretical basis of computing.As a personal note, I take pride in dealing with models of ZF without the axiom of choice and all sort of strange...

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Answer by yms for Can you provide me historical examples of pure mathematics...

Wavelet and Fourier transforms are used in a very long list of medical equipment (MRA, blood pressure monitor, diabetis monitor, just to mention a few), in audio-video compression (mp3, jpeg,...

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Answer by Petr for Can you provide me historical examples of pure mathematics...

I'd say that basically all technological achievements are founded in pure mathematics. The relationship is often long and distant, but I'd say without pure mathematics they wouldn't be possible. In...

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