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Equation 8 · Part 4 · The Deployment Envelope: Small Models Where the Power Is Not

fraction

Ttok≥WBT_{\mathrm{tok}} \ge \frac{W}{B}
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

The passage around this formula

Autoregressive decoding sits at the far left of that graph. Generating one token requires reading essentially every weight and the accumulated key-value cache once, and performing roughly two arithmetic operations per parameter. At one byte per weight the intensity is about two operations per byte; at four bits per weight, about four. Pope and colleagues formalised this partitioning problem for large transformers and showed how latency, throughput and cost trade off under different sharding strategies, with generation and prefill behaving as different regimes [ 3 ] . The bound that matters on a device follows immediately: if W bytes of weights and cache must cross the memory bus for each…

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the surrounding passage

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