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EllipticExp

EllipticExp
is the inverse for EllipticLog. It produces a list such that u==EllipticLog[{x, y}, {a, b}].
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • EllipticExp gives the generalized exponential associated with the elliptic curve .
  • For certain special arguments, EllipticExp automatically evaluates to exact values.
  • EllipticExp can be evaluated to arbitrary numerical precision.
Evaluate numerically:
Check relation with the inverse function:
Evaluate numerically:
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Check relation with the inverse function:
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Out[2]=
 
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Click for copyable input
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Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Define multiplication on the elliptic curve :
Use multiplication on the elliptic curve to add rational numbers:
Compare with EllipticLog:
Map integers on an elliptic curve:
Differentiation:
EllipticExp is a multivalued complex function, so the inverse relation does not always hold:
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