Towards a universal theory for natural patterns

Mathematics

• Approximation 18%
• Aspect Ratio 23%
• Averaging 17%
• Balloon 28%
• Class 10%
• Composite 16%
• Defects 18%
• Diffusion equation 35%
• Dislocation 45%
• Far Field 22%
• Fluid 14%
• Grain Boundary 54%
• Laser 23%
• Line 12%
• Liquid Crystal 24%
• Nucleation 24%
• Numerical Comparisons 20%
• Object 12%
• Order Parameter 90%
• Periodicity 18%
• Regularization 16%
• Saddle 20%
• Shock 18%
• Simplify 16%
• Singular Solutions 21%
• Singularity 13%
• Skew 16%
• Target 15%
• Topology 13%
• Valid 13%
• Vortex 19%
• Wavelet Analysis 23%
• Weak Solution 15%
• Zigzag 24%

Engineering & Materials Science

• Aspect ratio 45%
• Balloons 61%
• Composite materials 28%
• Defects 33%
• Fluids 31%
• Grain boundaries 100%
• Lasers 37%
• Liquid crystals 62%
• Nucleation 51%
• Real variables 78%
• Topology 33%
• Vortex flow 42%
• Wavelet analysis 58%

Physics & Astronomy

• approximation 15%
• aspect ratio 13%
• balloons 17%
• broadband 10%
• composite materials 9%
• defects 8%
• far fields 13%
• fluids 8%
• grain boundaries 21%
• lasers 6%
• liquid crystals 11%
• nucleation 11%
• periodic variations 13%
• planetary waves 15%
• real variables 24%
• saddles 17%
• shock 11%
• topology 12%
• vortices 10%
• wavelet analysis 17%