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Equation 1 · Part 6 · The Fifteen-Point-Six-Terawatt Number Is Real Arithmetic Built on the Wrong Fleet Size

fraction

F=L×HwHrF = \frac{L \times H_w}{H_r}
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

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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