### A mathematical proof isn't just an intellectual exercise

How do you prove something? What even is proof?

How do you prove something? What even is proof?

Mathematics

Jun 21, 2019

3

3

Can single crystalline materials be used for low dimensional p-n junction design? This is an open and long-standing problem. Microscopic simulations based on the generalized Bloch theorem show that in single crystalline Si ...

Nanomaterials

Mar 21, 2019

0

16

Information is typically stored in physical systems, such as memory devices. But in a new study, physicists have investigated an alternative way to store and hide information, which is by storing it only in the quantum correlations ...

Researchers have discovered that input-output maps, which are widely used throughout science and engineering to model systems ranging from physics to finance, are strongly biased toward producing simple outputs. The results ...

Researchers at Purdue University have performed the first experimental tests of several fundamental theorems in thermodynamics, verifying the relationship between them and providing a better understanding of how nanoparticles ...

Quantum Physics

Feb 23, 2018

9

226

Physicists have extended one of the most prominent fluctuation theorems of classical stochastic thermodynamics, the Jarzynski equality, to quantum field theory. As quantum field theory is considered to be the most fundamental ...

Pennsylvania's congressional district maps are almost certainly the result of gerrymandering according to an analysis based on a new mathematical theorem on bias in Markov Chains developed by Carnegie Mellon University and ...

Mathematics

Feb 28, 2017

0

301

The rate at which information can be coded so that it can be decoded within a particular error probability constraint is one of the "major research topics in information theory" as Hideki Yagi at the University of Electro-Communications, ...

Computer Sciences

Dec 27, 2016

0

7

There are certain moments in history that everyone remembers what it is they were doing when they heard about the event.

Mathematics

Mar 22, 2016

1

14

British mathematician Sir Andrew J. Wiles has won the Abel Prize in math for cracking a centuries-old hypothesis.

Mathematics

Mar 15, 2016

0

26