centrifugeR (version 0.1.4)

rotorEqual: Balance Tubes of Equal Mass

Description

rotorEqual returns the positions of rotor buckets that must be loaded or empty to balance tubes of equal mass.

Usage

rotorEqual(n, k)

Arguments

n

an integer, the number of rotor buckets.

k

an integer, the number of tubes.

Value

rotorEqual returns a list with two components:

loaded

a vector containing the positions of rotor buckets that must be loaded.

empty

a vector containing the positions of rotor buckets that must be empty.

rotorEqual also plots a schematic diagram of the centrifuge rotor.

Details

The number of rotor buckets n ranges from 4 to 48. The number of tubes k must be greater than 0 and smaller than the number of rotor buckets n.

References

Sivek G. On vanishing sums of distinct roots of unity. Integers. 2010;10(3):365-8. Peil O, Hauryliuk V. A new spin on spinning your samples: balancing rotors in a non-trivial manner. arXiv preprint arXiv:1004.3671. 2010 Apr 21.

See Also

rotorCheck for checking centrifuge rotors and rotorUnequal for balancing tubes of unequal mass.

Examples

# NOT RUN {
rotorEqual(30, 11)
rotorEqual(30, 19)

# }