← All parts of this equation

Equation 2 · Part 3 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

multiplication

Errorsystem=Errorsemantic extraction×Errordeterministic runtime≈Errorsemantic extraction×0=0.\text{Error}_{\text{system}} = \text{Error}_{\text{semantic extraction}} \times \text{Error}_{\text{deterministic runtime}} \approx \text{Error}_{\text{semantic extraction}} \times 0 = 0.
multiplication

What this part means

Multiply the quantities on either side.

Its job in the formula

Multiply the quantities on either side.

The passage around this formula

Similarly, the ReAct framework developed by Yao and colleagues at Princeton and Google demonstrates that interleaving reasoning traces with external execution actions (such as querying an API, executing Python code in a sandboxed interpreter, or retrieving verified database records) transforms the error surface [ 6 ] . Consider the multi-step failure task in the Harvard BCG study: a brand performance evaluation across different business units where financial figures were distributed across text and tables. When this class of problem is routed through a tool-augmented harness (such as Toolformer or an agentic code execution sandbox), the probability of arithmetic hallucination drops to zero…

Read this part in the article →

Learn the underlying idea

Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.

Open the illustrated multiplication: combining factors guide →

Sources cited in the surrounding passage

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