Equation 19 · Part 1 · Reliable AI Agents Are Control Systems, Not Chatbots
Symbol q^k
What this part means
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol q^k→Article meaning
The passage around this formula
For a simplified independent model with one-run success probability q , the probability of succeeding in every one of k deployments is . At q=0.9 , eight consecutive successes occur with probability only 0.9^80.43 . Independence is again unrealistic, but the calculation expresses the right operational demand: a bank, compiler, or datacenter does not consume an average demo. It consumes a sequence of particular decisions.
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
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Sources cited in the article section
- [9] SWE-bench: Can Language Models Resolve Real-World GitHub Issues? ↗
- [10] tau-bench: A Benchmark for Tool-Agent-User Interaction in Real-World Domains ↗
These citations provide research context; check each source for the exact claim it supports.