From af07c9973aebc02fb75071cf3fb6609c630e63b6 Mon Sep 17 00:00:00 2001 From: Leonard Kugis Date: Wed, 4 Mar 2020 01:09:28 +0100 Subject: IntroSec Changed inline math to equations. --- .../introduction_to_information_security.md | 36 +++++++++++++--------- 1 file changed, 22 insertions(+), 14 deletions(-) (limited to 'en_GB/Introduction to Information Security/introduction_to_information_security.md') diff --git a/en_GB/Introduction to Information Security/introduction_to_information_security.md b/en_GB/Introduction to Information Security/introduction_to_information_security.md index 0dbca95..60dfd2a 100644 --- a/en_GB/Introduction to Information Security/introduction_to_information_security.md +++ b/en_GB/Introduction to Information Security/introduction_to_information_security.md @@ -123,15 +123,17 @@ $$, $\text{h}$ being a one-way-function, $\text{:}$ being the concatenation oper #### False match rate (FMR) How often is a false match attempt successful, which it should not be? Best case: $\text{FMR} = 0$. -It can be interpreted as a measure of quality of the specific scheme. The lower the value, the better. - -$\text{FMR} = \frac{\text{\# successful false matches}}{\text{\# attempted false matches}}$ +It can be interpreted as a measure of quality of the specific scheme. The lower the value, the better. +$$ +\text{FMR} = \frac{\text{\# successful false matches}}{\text{\# attempted false matches}} +$$ #### False non-match rate (FNMR) -How often is a genuine match attempt rejected, which it should not be? Best case: $\text{FNMR} = 0$. - -$\text{FNMR} = \frac{\text{\# rejected genuine matches}}{\text{\# attempted genuine matches}}$ +How often is a genuine match attempt rejected, which it should not be? Best case: $\text{FNMR} = 0$. +$$ +\text{FNMR} = \frac{\text{\# rejected genuine matches}}{\text{\# attempted genuine matches}} +$$ #### Fitting Rate @@ -164,23 +166,29 @@ Frequency of failing to extract a feature of a sample. #### Failure-To-Acquire Rate (FTA) -Frequency of failing to acquire a biometric feature. - -$\text{FTA} = \text{FTC} + \text{FTX} \times (1 - \text{FTC})$ +Frequency of failing to acquire a biometric feature. +$$ +\text{FTA} = \text{FTC} + \text{FTX} \times (1 - \text{FTC}) +$$ #### False Accept Rate (FAR) -$\text{FAR} = \text{FMR} \times (1 - \text{FTA})$ +$$ +\text{FAR} = \text{FMR} \times (1 - \text{FTA}) +$$ #### False Reject Rate (FRR) -$\text{FRR} = \text{FTA} + \text{FNMR} \times (1 - \text{FTA})$ +$$ +\text{FRR} = \text{FTA} + \text{FNMR} \times (1 - \text{FTA}) +$$ #### False Positive Identification Rate (FPIR) -Probability of some sample to match at least one of the entries in the database. - -$\text{FPIR} = (1 - \text{FTA}) \times (1 - (1 - \text{FMR})^{n})$ +Probability of some sample to match at least one of the entries in the database. +$$ +\text{FPIR} = (1 - \text{FTA}) \times (1 - (1 - \text{FMR})^{n}) +$$ #### Biometrics in remote authentication -- cgit v1.2.1