elimination

from The Century Dictionary.

• noun A thrusting out; the act of removing, throwing aside, or disregarding; expulsion; riddance.
• noun In law, the act of banishing or turning out of doors; ejection.
• noun In mathematics, the process of reducing a number of equations containing certain quantities to a smaller number, in which one or more of the quantities shall not be found.

from the GNU version of the Collaborative International Dictionary of English.

• noun (Physiol.) The act of expelling or throwing off.
• noun (Alg.) Act of causing a quantity to disappear from an equation; especially, in the operation of deducing from several equations containing several unknown quantities a less number of equations containing a less number of unknown quantities.
• noun The act of obtaining by separation, or as the result of eliminating; deduction. [See Eliminate, 4.]

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun The act of eliminating, expelling or throwing off.
• noun The act of excluding a losing contestant from a match, tournament, or other competition.
• noun television The act of voting off or throwing off a contestant in a reality television competition.
• noun biology The act of discharging or excreting waste products or foreign substances through the various emunctories.
• noun mathematics The act of causing a quantity to disappear from an equation; especially, in the operation of deducing from several equations containing several unknown quantities a less number of equations containing a less number of unknown quantities.
• noun logic The act of obtaining by separation, or as the result of eliminating; deduction.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• noun the bodily process of discharging waste matter
• noun the murder of a competitor
• noun the act of removing or getting rid of something
• noun analysis of a problem into alternative possibilities followed by the systematic rejection of unacceptable alternatives
• noun the act of removing an unknown mathematical quantity by combining equations