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Equation 1 · Part 9 · The Fifteen-Point-Six-Terawatt Number Is Real Arithmetic Built on the Wrong Fleet Size

Numerator: L × H_w

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

What this part means

The complete quantity above the fraction bar.

Its job in the formula

L × HwH_w occurs above the fraction bar. The numerator is divided by the entire denominator below it.

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 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.

Open the illustrated fractions: division written vertically guide →

Sources cited in the article section

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