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sicmutils.calculus.form-field
- components->oneform-field
- coordinate-basis-oneform-field
- coordinate-basis-oneform-field-procedure
- coordinate-basis-oneform-fields
- coordinate-name->ff-name
- d
- exterior-derivative-procedure
- form-field?
- function->oneform-field
- get-rank
- literal-oneform-field
- oneform-field->components
- oneform-field-procedure
- oneform-field?
- permutation-sequence
- procedure->nform-field
- procedure->oneform-field
- wedge
sicmutils.calculus.manifold
- alternate-angles
- attach-coordinate-system
- attach-patch
- chart
- coordinate-system-at
- diffop-name
- Euler-angles
- get-coordinates
- ICoordinateSystem
- literal-manifold-function
- make-manifold
- make-manifold-family
- make-patch
- point
- point->manifold
- R1
- R1-rect
- R2
- R2-polar
- R2-rect
- R3
- R3-cyl
- R3-rect
- Rn
- S2
- S2-Riemann
- S2-spherical
- S2-stereographic
- S2-type
- Sn
- SO3
- SO3-type
sicmutils.env
The purpose of these definitions is to let the import of sicmutils.env bring all the functions in the book into scope without qualification, so you can just start working with examples.
The purpose of these definitions is to let the import of sicmutils.env bring all the functions in the book into scope without qualification, so you can just start working with examples.
- *
- +
- -
- ->infix
- ->local
- /
- abs
- acos
- alternate-angles
- angle
- asin
- atan
- basis->basis-over-map
- basis->oneform-basis
- basis->vector-basis
- Cartan-transform
- chart
- Christoffel->Cartan
- column-matrix
- commutator
- compatible-shape
- complex
- component
- components->oneform-field
- components->vector-field
- compose
- compositional-canonical?
- conjugate
- coordinate
- coordinate-system->basis
- coordinate-system->oneform-basis
- coordinate-system->vector-basis
- coordinate-tuple
- coordinatize
- cos
- cot
- covariant-derivative
- cross-product
- csc
- cube
- d
- D
- definite-integral
- determinant
- differential
- down
- elliptic-f
- Euler-angles
- Euler-Lagrange-operator
- evolution
- evolve
- exp
- expt
- F->C
- F->CT
- find-path
- form-field->form-field-over-map
- Gamma
- Gamma-bar
- Hamilton-equations
- Hamiltonian
- Hamiltonian->state-derivative
- imag-part
- integrate-state-derivative
- interior-product
- invert
- iterated-map
- Jacobian
- Lagrange-equations
- Lagrange-equations-first-order
- Lagrange-interpolation-function
- Lagrangian->energy
- Lagrangian->Hamiltonian
- Lagrangian->state-derivative
- Lagrangian-action
- Legendre-transform
- let-coordinates
- Lie-derivative
- Lie-transform
- linear-interpolants
- literal-function
- literal-manifold-function
- literal-manifold-map
- literal-oneform-field
- literal-vector-field
- log
- m->s
- m:dimension
- m:transpose
- magnitude
- make-Christoffel
- mapr
- matrix-by-rows
- minimize
- momentum
- momentum-tuple
- negate
- orientation
- osculating-path
- p->r
- partial
- pi
- point
- Poisson-bracket
- polar-canonical
- principal-value
- print-expression
- pullback
- pushforward-vector
- qp-submatrix
- R1-rect
- R2-polar
- R2-rect
- R3-cyl
- R3-rect
- real-part
- ref
- Rx
- Ry
- Rz
- s->m
- s->r
- S2-Riemann
- S2-spherical
- S2-stereographic
- sec
- series
- series:sum
- sicmutils-repl-init
- simplify
- sin
- SO3
- sqrt
- square
- standard-map
- state-advancer
- structure->vector
- structure?
- symplectic-transform?
- symplectic-unit
- tan
- tex$
- tex$$
- time-independent-canonical?
- transpose
- up
- up?
- using-coordinates
- vector->down
- vector->up
- vector-basis->dual
- vector-field->components
- vector-field->vector-field-over-map
- velocity
- velocity-tuple
- wedge
- with-literal-functions
- zero?
- Γ
- ∂
sicmutils.mechanics.hamilton
- canonical?
- compositional-canonical?
- dual-zero
- F->CT
- H-central
- H-central-polar
- H-rectangular
- Hamilton-equations
- Hamiltonian
- Hamiltonian->state-derivative
- iterated-map
- Lagrangian->Hamiltonian
- Legendre-transform
- Lie-transform
- momentum
- momentum-tuple
- phase-space-derivative
- Poisson-bracket
- polar-canonical
- qp->H-state-path
- standard-map
- symplectic-matrix?
- symplectic-transform?
- symplectic-unit
- time-independent-canonical?
sicmutils.mechanics.lagrange
- ->local
- coordinate
- coordinate-tuple
- Dt
- Euler-Lagrange-operator
- F->C
- find-path
- Gamma
- Gamma-bar
- L-central-polar
- L-central-rectangular
- L-free-particle
- L-harmonic
- L-rectangular
- L-uniform-acceleration
- Lagrange-equations
- Lagrange-equations-first-order
- Lagrange-interpolation-function
- Lagrangian->acceleration
- Lagrangian->energy
- Lagrangian->state-derivative
- Lagrangian-action
- linear-interpolants
- make-path
- osculating-path
- p->r
- parametric-path-action
- qv->state-path
- s->r
- state->t
- velocity
- velocity-tuple
- Γ
- Γ-bar
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