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Matthias Koeppe
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sage.rings: More # optional
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src/sage/rings/function_field/function_field_rational.py

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@@ -870,10 +870,10 @@ def higher_derivation(self):
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EXAMPLES::
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sage: F.<x> = FunctionField(QQ)
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sage: d = F.higher_derivation() # optional - sage.modules
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sage: [d(x^5,i) for i in range(10)] # optional - sage.modules
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sage: d = F.higher_derivation() # optional - sage.libs.singular sage.modules
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sage: [d(x^5,i) for i in range(10)] # optional - sage.libs.singular sage.modules
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[x^5, 5*x^4, 10*x^3, 10*x^2, 5*x, 1, 0, 0, 0, 0]
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sage: [d(x^9,i) for i in range(10)] # optional - sage.modules
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sage: [d(x^9,i) for i in range(10)] # optional - sage.libs.singular sage.modules
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[x^9, 9*x^8, 36*x^7, 84*x^6, 126*x^5, 126*x^4, 84*x^3, 36*x^2, 9*x, 1]
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"""
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from .derivations_polymod import FunctionFieldHigherDerivation_char_zero

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