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Complexity vs. Understanding. 1. Reducing the complexity. complexity size. Fiction. ‘curve of knowledge’. Science. level of understanding. Complexity vs. Understanding. 2. Reducing the complexity. Top-Down: increasingly elaborate experiments and models for complex systems.

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Presentation Transcript
reducing the complexity

Complexity vs. Understanding

1

Reducing the complexity

complexity

size

Fiction

‘curve of knowledge’

Science

level of understanding

reducing the complexity1

Complexity vs. Understanding

2

Reducing the complexity

Top-Down:

increasingly elaborate experiments and models

for complex systems

complexity

size

Bottom up:

extrapolate under-standing from small to larger systems

macro-

molecules

DNA

Biology

aminopyridine

molecules

H

Chemistry

atoms

Physics

ab initio

MM

QED

level of understanding

reducing the complexity2

3

Complexity vs. Understanding

Reducing the complexity

Problem: complexity scales exponentially with size

 bad scaling if we want to get to larger systems

size

complexity

Bottom up:

extrapolate under-standing from small to larger systems

aminopyridine2

DNA

Biology

aminopyridine

H

Chemistry

Physics

ab initio

MM

QED

level of understanding

reducing the complexity3

Complexity vs. Understanding

4

Reducing the complexity

Problem: complexity scales exponentially with size

 bad scaling if we want to get to larger systems

Solution: measure correlated properties

2 independent experiments  2x the information

2 correlated experiments  information2

size

complexity

Bottom up:

extrapolate under-standing from small to larger systems

aminopyridine2

DNA

Biology

aminopyridine

H

Chemistry

Physics

ab initio

MM

QED

level of understanding

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