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Examples:

  • Example-01: Derivative
  • Example-02: Derivative table representation
  • Example-03: Derivative table propagation
  • Example-04: Jet class
  • Example-05: Nonlinear mapping approximation
  • Example-06: Fixed point
  • Example-07: Parametric fixed point
  • Example-08: Fixed point manipulation (collision)
  • Example-09: Fixed point manipulation (change point type)
  • Example-10: Alignment indices chaos indicators
  • Example-11: Closed orbit (dispersion)
  • Example-12: Closed orbit (quadrupole shift)
  • Example-13: Closed orbit (sextupole shift)
  • Example-14: Closed orbit (responce matrix & correction)
  • Example-15: Tune (chromaticity)
  • Example-16: Tune (responce matrix & correction)
  • Example-17: Tune (spread)
  • Example-18: Parametric twiss
  • Example-19: Parametric phase advance
  • Example-20: Poisson bracket
  • Example-21: Taylor integrator
  • Example-22: Yoshida integrator
  • Example-23: Direct invariant
  • Example-24: Direct invariant (parametric)
  • Example-25: Composition
  • Example-26: Composition (closed orbit)
  • Example-27: Inverse
  • Example-28: Inverse (closed orbit)
  • Example-29: Momenta generator
  • Example-30: Factorization (kick)
  • Example-31: Factorization (fodo)
  • Example-32: Factorization (factorize)
  • Example-33: Nonlinear mapping approximation (gradient)
  • Example-34: ORM optics correction
  • Example-35: ORM optics correction (training loop)
  • Example-36: ORM optics correction (training loop + elementwise computation)
  • Example-37: Normalized dispersion
  • Example-38: Coupling (minimal tune distance)
  • Example-39: Coupling (minimal tune distance correction)
  • Example-40: Coupling (amplitude ratio correction)

API:

  • Util
  • curry_apply()
  • first()
  • flatten()
  • last()
  • most()
  • multinomial()
  • nest()
  • orthogonal()
  • rest()
  • symplectic()
  • tolist()
  • Derivative
  • derivative()
  • Gradient
  • derivative()
  • evaluate()
  • factor()
  • group()
  • hessian()
  • index()
  • jacobian()
  • naught()
  • reduce()
  • scalar()
  • select()
  • series()
  • signature()
  • split()
  • Complex
  • Signature
  • apply()
  • chop()
  • get()
  • set()
  • signature()
  • to()
  • Index
  • build()
  • index()
  • reduce()
  • Series
  • clean()
  • fetch()
  • merge()
  • series()
  • split()
  • Evaluate
  • compare()
  • evaluate()
  • table()
  • Propagate
  • identity()
  • propagate()
  • Parametric fixed point
  • chain_point()
  • check_point()
  • clean_point()
  • fixed_point()
  • matrix()
  • newton()
  • parametric_fixed_point()
  • Bracket
  • bracket()
  • Taylor
  • taylor()
  • Yoshida
  • coefficients()
  • yoshida()
  • Invariant
  • invariant()
  • Inverse
  • inverse()
  • Momenta
  • momenta()
  • Factorization
  • factorize()
  • hamiltonian()
  • hamiltonian_inverse()
  • solution()
  • Jet
  • Jet
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