inverse element


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inverse element

[′in‚vərs ′el·ə·mənt]
(mathematics)
In a group G the inverse of an element g is the unique element g -1 such that g · g -1= g -1· g = e, where · denotes the group operation and e is the identity element.
References in periodicals archive ?
P + Q and P-Q have inverse elements and denoted them as [(P + Q).sup.-1] and [(P-Q).sup.-1], respectively.
Notation of Operations Symbol Corresponding Operation [Exp.sub.<p>] exponentiation [g.sup.x]modp , for g [member of] G, x [member of] Z and p is a prime value [MATHEMATICAL EXPRESSION NOT hash a value into [Z.sub.p] REPRODUCIBLE IN ASCII] [Hash.sub.G] hash a value into G [Mult.sub.G] multiplication in group G [MATHEMATICAL EXPRESSION NOT computing pairing pair = e(u, v) REPRODUCIBLE IN ASCII] where u , v [member of] G and pair [member of] [G.sub.T] [MATHEMATICAL EXPRESSION NOT addition in [Z.sub.p] REPRODUCIBLE IN ASCII] [MATHEMATICAL EXPRESSION NOT computing inverse element in REPRODUCIBLE IN ASCII] [Z.sub.p]
Additive iterative method (AIM) has automatically corrected integral nonlinearity and it is based on precisely designed inverse element. Non-subtractive dithering with averaging has enabled correction under level of 1 LSB of used 10-bit ADC.

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