slight polish of help messages
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@ -721,7 +721,7 @@ class Rotation:
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Parameters
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----------
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q : numpy.ndarray, shape (...,4)
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Unit quaternion (q_0, q_1, q_2, q_3) in positive real hemisphere, i.e. ǀqǀ = 1, q_0 ≥ 0.
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Unit quaternion (q_0, q_1, q_2, q_3) in positive real hemisphere, i.e. ǀqǀ = 1 and q_0 ≥ 0.
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accept_homomorph : bool, optional
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Allow homomorphic variants, i.e. q_0 < 0 (negative real hemisphere).
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Defaults to False.
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@ -781,7 +781,7 @@ class Rotation:
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normalize: bool = False,
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P: Literal[1, -1] = -1) -> 'Rotation':
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"""
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Initialize from Axis angle pair.
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Initialize from axis–angle pair.
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Parameters
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----------
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@ -818,12 +818,12 @@ class Rotation:
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orthonormal: bool = True,
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reciprocal: bool = False) -> 'Rotation':
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"""
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Initialize from lattice basis vectors.
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Initialize from basis vector triplet.
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Parameters
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----------
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basis : numpy.ndarray, shape (...,3,3)
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Three three-dimensional lattice basis vectors.
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Three three-dimensional basis vectors.
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orthonormal : bool, optional
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Basis is strictly orthonormal, i.e. is free of stretch components. Defaults to True.
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reciprocal : bool, optional
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@ -857,7 +857,7 @@ class Rotation:
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Parameters
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----------
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R : numpy.ndarray, shape (...,3,3)
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Rotation matrix with det(R) = 1, R.T ∙ R = I.
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Rotation matrix with det(R) = 1 and R.T ∙ R = I.
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"""
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return Rotation.from_basis(R)
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@ -866,14 +866,14 @@ class Rotation:
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def from_parallel(a: np.ndarray,
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b: np.ndarray ) -> 'Rotation':
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"""
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Initialize from pairs of two orthogonal lattice basis vectors.
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Initialize from pairs of two orthogonal basis vectors.
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Parameters
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----------
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a : numpy.ndarray, shape (...,2,3)
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Two three-dimensional lattice vectors of first orthogonal basis.
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Two three-dimensional vectors of first orthogonal basis.
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b : numpy.ndarray, shape (...,2,3)
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Corresponding three-dimensional lattice vectors of second basis.
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Corresponding three-dimensional vectors of second basis.
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"""
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a_ = np.array(a)
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@ -896,7 +896,7 @@ class Rotation:
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normalize: bool = False,
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P: Literal[1, -1] = -1) -> 'Rotation':
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"""
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Initialize from Rodrigues–Frank vector (angle separated from axis).
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Initialize from Rodrigues–Frank vector (with angle separated from axis).
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Parameters
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----------
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