UNLOCKING THE SECRETS Patterns in Data. Techniques Plotting Log-log, semi-log, scaling Statistics Frequency domain (fft) xmgrace xy plotting tool Derivatives.

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UNLOCKING THE SECRETS Patterns in Data

Techniques Plotting Log-log, semi-log, scaling Statistics Frequency domain (fft) xmgrace xy plotting tool Derivatives and integrals – hare/lynx Dimensionless numbers Reynolds number, prandtl, etc

Why and When to Use Particularly important for emergent behavior projects (emergent math) Can be used for experiments and for calculation analysis Discriminator for top projects Appears to be an improvement vs Improves the result with a 98% confidence level

Statistics Averages or Means Probabilities and Random Numbers Regression and Correlation ANOVA or t-tests (determine whether samples are from one population or two) Bayesian – (advanced, hard!)

Pressure Record from Explosive Test Second curve is impulse -- integration of data Shows energy Frequency analysis is also useful (60 hz, tube diameter)

Predator-Prey Hare/Lynx

Integration

Derivatives Birth Rates, Death rates

Frequency Analysis Period

Dimensionless Numbers Concept is to pick combination of terms that eliminates units Reynolds number Prandtl number Mach number Used in experiments to scale down size

Additional Thoughts Comparison to experimental data is important Looking at only experimental data or calculational results yields little insight – The great leaps in learning occurs when you compare the calculational results to experimental data Verification and Validation is critical for a model Running a model for a known simple case to validate it is a critical step

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