abelian

/əˈbi.li.ən/

Meanings

adjective

Having a commutative defining operation.

Examples :

""Since the order in which we add test scores doesn't change the final average, the addition operation for calculating averages is abelian." "

math group

Related Words

addition noun

/æˈdɪʃən/

The act of adding anything.

"The addition of five more items to the agenda will make the meeting unbearably long."

scores noun

/skɔɹz/ /skɔːz/

The total number of goals, points, runs, etc. earned by a participant in a game.

"The player with the highest score is the winner."

having verb

/ˈhævɪŋ/

To possess, own.

"I have a house and a car."

change noun

/tʃeɪndʒ/

The process of becoming different.

"The product is undergoing a change in order to improve it."

defining verb

/dɪˈfaɪnɪŋ/ /diˈfaɪnɪŋ/

To determine with precision; to mark out with distinctness; to ascertain or exhibit clearly.

"the defining power of an optical instrument"

commutative adjective

/kəˈmjuːtətɪv/ /kəˈmjuːteɪtɪv/

(of a binary operation) Such that the order in which the operands are taken does not affect their image under the operation.

"Addition and multiplication are commutative operations but subtraction and division are not."

calculating verb

/ˈkælkjəˌleɪtɪŋ/ /ˈkælkjʊˌleɪtɪŋ/

To determine the value of something or the solution to something by a mathematical process.

"Calculate the square root of 3 to 10 decimal places."

operation noun

/ˌɒpəˈɹeɪʃən/ /ˌɑpəˈɹeɪʃən/

The method by which a device performs its function.

"The operation of the new coffee machine is quite simple. "

averages noun

/ˈævərɪdʒɪz/ /ˈævrɪdʒɪz/

The arithmetic mean.

"The average of 10, 20 and 24 is (10 + 20 + 24)/3 = 18."

average noun

/ˈævəɹɪd͡ʒ/

The arithmetic mean.

"The average of 10, 20 and 24 is (10 + 20 + 24)/3 = 18."

order noun

/ˈɔːdə/ /ˈɔɹdɚ/

Arrangement, disposition, or sequence.

"The order of the books on the shelf was alphabetical by author. "

since adverb

/sɪns/

From a specified time in the past.

"A short/long time since"