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Table 2 Auxiliary formulas.

From: Evaluating deterministic motif significance measures in protein databases

Formula

Range

P ( C ) = T P + F N T P + F N + F P + T N MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaemiuaaLaeiikaGIaem4qamKaeiykaKIaeyypa0tcfa4aaSaaaeaacqWGubavdaWgaaqaaiabdcfaqbqabaGaey4kaSIaemOray0aaSbaaeaacqWGobGtaeqaaaqaaiabdsfaunaaBaaabaGaemiuaafabeaacqGHRaWkcqWGgbGrdaWgaaqaaiabd6eaobqabaGaey4kaSIaemOray0aaSbaaeaacqWGqbauaeqaaiabgUcaRiabdsfaunaaBaaabaGaemOta4eabeaaaaaaaa@436B@

[0,1]

P ( C | M ) = T P T P + F P MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaemiuaaLaeiikaGIaem4qamKaeiiFaWNaemyta0KaeiykaKIaeyypa0tcfa4aaSaaaeaacqWGubavdaWgaaqaaiabdcfaqbqabaaabaGaemivaq1aaSbaaeaacqWGqbauaeqaaiabgUcaRiabdAeagnaaBaaabaGaemiuaafabeaaaaaaaa@3C3B@

[0,1]

P ( C | M ) P ( C ) = T P × ( T P + F N + F P + T N ) ( T P + F P ) × ( T P + F N ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=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@5C1B@

[0,1]

1 − P ( C | M ) 1 − P ( C ) = F P × ( T P + F N + F P + T N ) ( T P + F P ) × ( T N + F P ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqaIXaqmcqGHsislcqWGqbaucqGGOaakcqWGdbWqcqGG8baFcqWGnbqtcqGGPaqkaeaacqaIXaqmcqGHsislcqWGqbaucqGGOaakcqWGdbWqcqGGPaqkaaGccqGH9aqpjuaGdaWcaaqaaiabdAeagnaaBaaabaGaemiuaafabeaacqGHxdaTcqGGOaakcqWGubavdaWgaaqaaiabdcfaqbqabaGaey4kaSIaemOray0aaSbaaeaacqWGobGtaeqaaiabgUcaRiabdAeagnaaBaaabaGaemiuaafabeaacqGHRaWkcqWGubavdaWgaaqaaiabd6eaobqabaGaeiykaKcabaGaeiikaGIaemivaq1aaSbaaeaacqWGqbauaeqaaiabgUcaRiabdAeagnaaBaaabaGaemiuaafabeaacqGGPaqkcqGHxdaTcqGGOaakcqWGubavdaWgaaqaaiabd6eaobqabaGaey4kaSIaemOray0aaSbaaeaacqWGqbauaeqaaiabcMcaPaaaaaa@5FB9@

[0,1]

I n f o ( M ) = − l o g | Σ | P ( M ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaemysaKKaemOBa4MaemOzayMaem4Ba82aaeWaaeaacqWGnbqtaiaawIcacaGLPaaacqGH9aqpcqGHsislcqWGSbaBcqWGVbWBcqWGNbWzdaWgaaWcbaWaaqWaaeaacqqHJoWuaiaawEa7caGLiWoaaeqaaOGaemiuaa1aaeWaaeaacqWGnbqtaiaawIcacaGLPaaaaaa@427E@

[0, + ∞[

  1. List of auxiliary formulas used for the calculation of measures from Table 1. The respective range is also provided.