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A typical such question is percolation theory, which has applications in the study of petroleum deposits.
He also developed an area of mathematics called weight theory, which has applications in the solution of differential equations.
In the Ising model, which has applications in physics, biology, and chemistry, the properties of an individual particle are affected by nearby particles.
For this work, which has applications to such problems as how liquids can flow through soil, he was awarded a Fields Medal in 2010.
It is also an important subroutine in solving the generalized submodular flow problem, which has applications in trading networks.
His current engineering master's research focuses on how light behaves when reflected off various minerals, which has applications for remote sensing.
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We address the problem of inferring a speaker's level of certainty based on prosodic information in the speech signal, which has application in speech-based dialogue systems.
Biosensors are excellent analytical tools which have applications in detecting the biomarkers of AD.
In later work, Dr. Khachiyan studied cyclic games, which have applications in artificial intelligence, matrix games and polytopes, which are regions of space defined by hyperplanes.
This fabrication method can accurately and reproducibly produce various suspended C-MEMS structures which have applications in microelectronics and biosensing.
They also worked on blue GaN laser diodes, which have applications ranging from medicine to laser projectors and which form the heart of Blu-ray disc players.
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