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Equation 1 · Part 8 · The Fifteen-Point-Six-Terawatt Number Is Real Arithmetic Built on the Wrong Fleet Size

subscript

F=L×HwHrF = \frac{L \times H_w}{H_r}
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

A robot’s usable hours depend on a different variable: duty cycle, the fraction of the 8,760-hour year a unit spends actually working rather than charging, undergoing maintenance, or switching tasks — run here across the same 90/70/50 percent grid this series applies throughout, giving 7,884, 6,132, and 4,380 operating hours per unit per year respectively. Solving the labor-hours ledger, F=L×HwHrF = \frac{L \times H_w}{H_r}. for fleet size F across all nine combinations of the labor-force total L , the hours-worked bracket HwH_w , and the duty-cycle-adjusted operating hours HrH_r , produces a range from about 0.76 billion units (90 percent duty cycle, 1,600 hours worked) to about 1.88 billion units (50 percent…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

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