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Equation 4 · Part 7 · AI and Cybersecurity in Practice: An Advanced Technical Guide

Starting index or lower bound: c

E=∑cpc dc.E = \sum_{c} p_c \, d_c.
cc

What this part means

This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.

Its job in the formula

c appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

The passage around this formula

There is a simple way to see why capability removal should be the default move rather than the fallback. Model the expected exposure created by a credential as a sum over the capabilities c it carries, each with some probability pcp_c that it is exploited in a given period and some damage dcd_c if it is: E=∑cpc dcE = \sum_{c} p_c \, d_c. Two of the terms in that sum are hard to know honestly. An estimate of pcp_c assumes a threat model that has to guess at an adversary’s behaviour, and dcd_c is only…

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Learn the underlying idea

Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.

Open the illustrated sums and products: repeat an operation over an index guide →

See this notation across published equations →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.