numeration

I

(New American Roget's College Thesaurus)

Counting

Nouns

1. numeration, numbering, counting, tally, enumeration, pagination, summation, reckoning, computation, calculation, cybernetics, measurement; statistics, poll, census, roll call, recapitulation; recount; batting average, grade-point average; magic square.

2. (study of numbers) arithmetic, [simple, elementary, higher, or applied] mathematics, [propositional, differential, or integral] calculus, [Boolean, Euclidean, non-Euclidean, linear, matrix, or analytic] algebra, quadratics, [Cartesian, plane, solid, or descriptive] geometry, trigonometry, fractals, vector analysis; number, set, game or group theory; mathematical biology, physics, etc.; addition, subtraction, multiplication, division; [linear, cubic, quadratic, differential, or simultaneous] equation; even or odd number, mixed number; [square, cube, etc. ] root, power; exponent, index, prime, factorial; reduction, approximation, differentiation, integration; formula, function, [arithmetic, geometric, algebraic, or Fibonacci] series.

3. (calculating device) abacus, logometer, slide rule, table, Napier's rods, logarithm, log, antilogarithm; calculator, calculating machine, adder, adding machine, cash register; protractor, trammel; computer, electronic computer or brain, mainframe [computer], mini-, micro-, or personal computer, [micro]processor, punch-card or -tape reader. Slang, magic brain, number cruncher. See computers.

4. (mathematical terms) total, amount, quantity; sum, difference, product, multiplier, multiplicand, addend, aggregate, coefficient, dividend, divisor, factor, quotient, subtrahend, minuend, fraction, mixed number, numerator, denominator, decimal, reciprocal; Arabic or Roman numbers or numerals; [trigonometric, circular, algebraic, composite, periodic, polynomial, transcendental, or continuous] function; mean, average (see middle); constant, variable, unknown, derivative, differential; equation; set, domain; surd, imaginary number, irrational number; four-color problem, golden section or mean, pons asinorum; binomial; matrix, set, vector, universe; abscissa, asymptote, axis, coordinates; sine, cosine, tangent, cotangent.

5. ratio, proportion, progression; arithmetical] or geometric[al] progression; percentage. See degree.

6.

a. unity; duality, dualism, biformity; triality, trinity; quaternity.

b. duplication, duplicate; triplication, triplicate; trebleness, trine; quadruplication, quadruplicate, etc.

c. bisection, bipartition, halving; trisection, tripartition; quadrisection, quadripartition, quartering, quarter; quinquesection; decimation.

7.

a. [prime, cardinal, or ordinal] number, symbol, numeral, figure, cipher, digit, [positive or negative] integer, natural number, counter, round number; folio.

b. one, single, unity, ace; two, deuce, couple, brace, pair, binomial, square; three, trey, triad, triplet, trio, leash, trinomial, third power, cube; four, tetrad, quartet, quaternion; five, quintet; six, sextet, half a dozen; seven, septet; eight, octet; nine, ennead; ten, decad[e], tithe; twelve, dozen; thirteen, baker's or devil's dozen; twenty, score; hundred, century, centenary; number of the beast; thousand, million, billion, trillion, googol, googolplex; zero (see insubstantiality). Informal, jillion. Slang, goose egg.

c. cardinal or ordinal number.

8. mathematician, arithmetician, calculator, abacist, algebraist, statistician, enumerator, counter. Slang, bean counter.

Verbs

1. number, count [off], tell [off], tally, enumerate, poll, count heads or noses, recapitulate; paginate, foliate; score, cipher, compute, calculate, figure, sum up, ring up, cast up, total, add, subtract, multiply, divide; round off.

2. check, prove, demonstrate, balance, audit, take stock (see accounting); recount.

3. (increase numerically) double, couple, pair [off or up], yoke, square; triple, treble, triplicate, cube; quadruplicate, etc.

4. (divide) bisect, halve, trisect, quarter, decimate.

Adjectives

1. numeral, numerical, arithmetic[al], geometric[al], analytic, algebraic, statistical, numerable, computable, divisible, reciprocal, whole, prime, fractional, decimal, proportional; Arabic, Roman, binary, octal; exponential, logarithmic, differential, integral, positive, negative; rational, irrational; radical, real, imaginary, impossible; approximate, round; exact; perfect.

2. one, first, annual, single, unique; two, second, double, duplicate, twain, dual, biannual, biennial, binary, binomial, twin, duplex; three, third, triple, treble, triform, trinary, trinal, trinomial, tertiary, trine, triplicate, threefold; four, fourth, quadruple, quadruplicate, quarter, quaternary, quaternal, quadratic; five, fifth, quintuple, quinary; sixth, sextuple; seventh, septuple; eight, octuple; tenth, decimal, tenfold; twelfth, dozenth, duodenary; hundredth, centennial, centenary, centuplicate; thousandth, millennial.

3. bisected, bipartite, bifid; trisected, tripartite, trifid; quartered, quadripartite; quinquepartite, quinquefid; octifid; tenth, decimal; twelfth, duodecimal; sixtieth, sexagesimal, sexagenary; hundredth, centesimal; thousandth, millesimal.

Adverbs — twice, double; thrice, trebly, triply, thirdly; fourthly; for one thing.

Prepositions — plus, minus, times.

Phrases — there is safety in numbers; third time lucky.

Quotations — Mathematics are a species of Frenchman; if you say something to them, they translate it into their own language and presto! it is something entirely different (Goethe), There are three kinds of lies: lies, damned lies and statistics (Benjamin Disraeli), Numbers are intellectual witnesses that belong only to mankind (Honoré de Balzac), There is divinity in odd numbers (Shakespeare).

Antonyms, see unity.

II

(Roget's Thesaurus II) noun A noting of items one by one: count, enumeration, reckoning, tally. Archaic: tale. See COUNT.