5/1.41

The heavy iron door slid open. The warm, amber light of the broker’s parlor spilled out, smelling of cigar smoke and ozone.

Beep.

He had an option. He could try to bargain. Four canisters was eighty percent of the job. In any reasonable world, that was a pass. But the broker was a creature of absolutes. He lived by the fraction.

| Quantity | Value | |----------|--------| | (5 / 1.41) exactly | (500/141) | | Decimal (12 digits) | 3.54609929078 | | (5 / \sqrt2) exactly | (5\sqrt2/2) | | Decimal (12 digits) | 3.53553390593 | | Absolute error | ~0.010565 | | Relative error | ~0.299% |

The broker leaned forward, his eyes narrowing. "The ratio," he repeated softly. "You forced the denominator."

The readout on the door panel flickered. Detected: 4 Units. Required: 5 Units. Deficit: 1 Unit. Current Ratio: 4/5. (0.8) Required Threshold: 5/1.41.

Kael looked at the heavy iron door across the street. The Drop Point. Behind that door was the broker, a man who dealt in chemical salvation and who currently held the lease on Kael’s sister’s life support. If Kael walked in there with four canisters instead of five, the broker wouldn’t kill him. He would simply unplug the machine. It was cleaner that way.

Kael stared at the numbers. 5 divided by 1.41. It was approximately 3.54. It made no sense. Why would the threshold be a decimal? Why 1.41?

[ \frac51.41 = \frac5\frac141100 = 5 \times \frac100141 = \frac500141 ]

: These are recognized solutions for recurring problems agreed upon by Caltrans .

"Go see your sister, Kael."

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