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Extra Form
Lecturer 김동수
Dept. KAIST 수리과학과
date May 16, 2019

We rely on intuition every day, and we use mathematics every day. 
Intuition is fast, powerful and omniapplicable, but sometimes wrong.
Mathematics is efficient, powerful and correct, when applicable. Whenever there is an uncertainty, a proof can be called in to settle the case.

With examples involving the use of intuition, mathematics and proof from philosophy, psychology, and so on, I will talk about the role of mathematics in these domains.


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    Compressible viscous Navier-Stokes flows: Corner singularity, regularity

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    Zeros of linear combinations of zeta functions

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    Zeros of the derivatives of the Riemann zeta function

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    Noise-induced phenomena in stochastic heat equations

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    Subword complexity, expansion of real numbers and irrationality exponents

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    The Lagrange and Markov Spectra of Pythagorean triples

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