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equations and follow-up
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@ -194,9 +194,9 @@ The validation software combines the scripts:
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----
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----
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As we see in <<simplemath_script>>, when
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As we see in <<simplemath_script>>, when
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this script is executed, the result is +OP_TRUE+, making the transaction
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this script is executed, the result is +OP_TRUE+, making the transaction valid. Although this is a valid transaction
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valid. Not only have we shown a valid transaction output script, but
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output script, note that the resulting UTXO can be spent by anyone with
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the resulting UTXO could be spent by anyone with the arithmetic skills
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the arithmetic skills
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to know that the number 2 satisfies the script.
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to know that the number 2 satisfies the script.
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@ -56,7 +56,7 @@ signing key is the user's private key. The result is the signature:
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[latexmath]
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[latexmath]
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++++
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++++
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\begin{equation}
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\begin{equation}
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\(Sig = F_{sig}(F_{hash}(m), x)\)
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(Sig = F_{sig}(F_{hash}(m), x))
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\end{equation}
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\end{equation}
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++++
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++++
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@ -878,7 +878,6 @@ integers are modulus p:
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s = k^{-1} (Hash(m) + x \times R)
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s = k^{-1} (Hash(m) + x \times R)
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\end{equation}
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\end{equation}
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++++
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++++
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_s_ = __k__^-1^ (__Hash__(__m__) + __x__ × __R__)
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where:
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where:
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@ -899,7 +898,6 @@ signature creation):
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K = s^{-1} \times Hash(m) \times G + s^{-1} \times R \times X
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K = s^{-1} \times Hash(m) \times G + s^{-1} \times R \times X
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\end{equation}
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\end{equation}
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++++
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++++
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_K_ = __s__^-1^ × __Hash__(__m__) × _G_ + __s__^-1^ × _R_ × _X_
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where:
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where:
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