### A breakthrough in estimating the size of a (mostly hidden) network

A newly discovered connection between control theory and network dynamical systems could help estimate the size of a network even when a small portion is accessible.

A newly discovered connection between control theory and network dynamical systems could help estimate the size of a network even when a small portion is accessible.

General Physics

Apr 22, 2020

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344

After eight years of debate, Japanese mathematician Shinichi Mochizuki has found a publisher for his mammoth undertaking—the inter-universal Teichmüller theory (IUT). As part of the 600-page proof, Mochizuki claims that ...

What if engineers could design a better jet with mathematical equations that drastically reduce the need for experimental testing? Or what if weather prediction models could predict details in the movement of heat from the ...

Mathematics

Dec 11, 2019

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3458

Johns Hopkins mathematician Joel Spruck and a colleague recently succeeded in proving a longstanding conjecture about the area of negatively curved spaces, such as flower petals or coral reefs, a yearslong endeavor full unexpected ...

Mathematics

Nov 08, 2019

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36

Ordinary people see beauty in complex mathematical arguments in the same way they can appreciate a beautiful landscape painting or a piano sonata—and you don't need to be a mathematician to get it, a new study by Yale University ...

Mathematics

Sep 05, 2019

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401

How do you prove something? What even is proof?

Mathematics

Jun 21, 2019

3

3

Soon, powerful quantum computers will be able to easily crack conventional mathematically encrypted codes. Entangled photons generated by a spaceborne quantum source could enable hack-proof key exchange for ultra high security ...

Optics & Photonics

Oct 01, 2018

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23

Precise targeting of medicine is no longer a vision of the future. Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) has successfully developed proteins that function like a shuttle and release medication directly ...

Biochemistry

Jun 15, 2018

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5

In modern physics of the past century, understanding the electronic properties and interactions between electrons inside matter has been a major challenge. Electrons are responsible for the chemical link between atoms and ...

Quantum Physics

May 01, 2017

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18

What motivates people to cooperate in collaborative endeavors? "First carrot, then stick". Tatsuya Sasaki, mathematician from the University of Vienna, has put forth for the first time ever a mathematical proof of this process. ...

Mathematics

Dec 03, 2014

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1