rotorEqual: Balance Tubes of Equal Mass

In centrifugeR: Non-Trivial Balance of Centrifuge Rotors

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, seed = 2019)

Arguments

n	an integer, the number of rotor buckets.
k	an integer, the number of tubes.
seed	an integer, the seed for random number generation. Setting a seed ensures the reproducibility of the result. See set.seed for more details.

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.

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.

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.

centrifugeR documentation built on Dec. 28, 2022, 1:18 a.m.