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Equation 16 · Part 12 · Codex vs Claude Code: A Systems Comparison, Not a Benchmark Beauty Contest

Starting index or lower bound: d

Soj=∑dwodzjd−λoCj−μoRj,S_{oj}=\sum_d w_{od}z_{jd} -\lambda_o C_j-\mu_o R_j,
dd

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

d 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

Let dimensions d include local-platform support, isolation, context fidelity, extensibility, enterprise policy, cloud reproducibility, review ergonomics, latency, and total cost. For organization o , define Soj=∑dwodzjd−λoCj−μoRjS_{oj}=\sum_d w_{od}z_{jd} -\lambda_o C_j-\mu_o R_j. where zjdz_{jd} is measured product performance, wodw_{od} local importance, CjC_j switching and operating cost, and RjR_j residual risk. A startup and a bank should choose different weights. Scores should come from trials, not feature presence alone.

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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 →

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