mathemat. Ausdruck gebildet aus der Summierung der Glieder einer Zahlen-Folge. Bei arithmet. R. ist die Differenz zw. ihnen, bei geometr. R. der Quotient zweier aufeinanderfolgender Glieder gleich.
ETYM Old Eng. arai, arrai, Old Fren. arrai, arrei, arroi, order, arrangement, dress, French arroi.
1. An orderly arrangement.
2. An impressive display.
3. An arrangement of aerials spaced to give desired directional characteristics.
4. Especially fine or decorative clothing; SYN. finery, raiment, regalia.
1. A building in which commercial banking is transacted; SYN. bank building.
2. A small, hollow object in which one keeps one's money SYN. piggybank.
3. The funds held by a gambling house or the dealer in some gambling games
4. A flight maneuver; aircraft tips laterally about its longitudinal axis (especially in turning).
5. A long ridge or pile
6. A slope in the turn of a road or track; the outside is higher than the inside in order to reduce the effects of centrifugal force; SYN. cant, camber.
7. A supply or stock held in reserve especially for future use (especially in emergencies).
8. An arrangement of similar objects in a row or in tiers
9. Sloping land (especially the slope beside a body of water)
ETYM Latin columna, from columen, culmen, from cellere (used only in comp.), akin to Eng. excel, and prob. to holm. See Holm, Colonel.
1. A tall, cylindrical upright structure, used in architecture; SYN. pillar.
2. Anything tall and thin approximating the shape of a column or tower; SYN. tower, pillar.
3. A vertical structure standing alone and not supporting anything (as a monument or a column of air); SYN. pillar.
4. A linear array of numbers one above another.
5. A vertical glass tube used in column chromatography; a mixture is poured in the top and washed through a stationary substance where components of the mixture are adsorbed selectively to form colored bands; SYN. chromatography column.
6. An article giving opinions or perspectives; SYN. editorial, newspaper column.
7. A line of (usually military) units following one after another.
(Homonym: phial).
1. A container for keeping papers in order; SYN. file cabinet, filing cabinet.
2. A line of persons or things ranged one behind the other; SYN. single file, Indian file.
3. A set of related records (either written or electronic) kept together; SYN. data file.
4. A steel hand tool with small sharp teeth on some or all of its surfaces; used for smoothing wood or metal.
1. A length (straight or curved) without breadth or thickness; the trace of a moving point.
2. A mark that is long relative to its width
3. A linear string of words expressing some idea
4. A formation of people or things one after another
5. A formation of people or things beside one another
6. Something long and thin and flexible.
7. A conceptual separation or demarcation:; SYN. dividing line, demarcation, contrast.
8. A fortified position (especially one marking the most forward position of troops)
9. A particular kind of product; SYN. product line, line of products, line of merchandise, business line, line of business.
10. A commercial organization serving as a common carrier.
11. Railroad track and roadbed; SYN. railway line, rail line.
12. In games or sports; a mark indicating positions or bounds of the playing area.
13. Acting in conformity; or or
14. A single frequency (or very narrow band) of radiation in a spectrum.
1. A line of persons arranged by police for inspection or identification.
2. The people or things planned for an event are the lineup.
ETYM Latin progressio: cf. French progression.
A series with a definite pattern of advance; SYN. patterned advance.
Sequence of numbers each occurring in a specific relationship to its predecessor. An arithmetic progression has numbers that increase or decrease by a common sum or difference (for example, 2, 4, 6, 8); a geometric progression has numbers each bearing a fixed ratio to its predecessor (for example, 3, 6, 12, 24); and a harmonic progression has numbers whose reciprocals are in arithmetical progression, for example 1, ˝, 1/3, Ľ.
1. A row or line of people (especially soldiers or police) standing abreast of one another
2. Relative status
(Homonym: rho, roe).
1. An arrangement of objects or people side by side in a line.
2. A long continuous strip (usually running horizontally).
3. A linear array of numbers side by side.
4. A continuous chronological succession without an interruption.
ETYM French séquence, Latin sequentia, from sequens. Related to Sequent.
1. A following of one thing after another in time; SYN. chronological sequence, succession, successiveness, chronological succession.
2. A succession of related shots that develop a given subject in a film; SYN. episode.
3. Arrangement in which things follow in logical order or a recurrent pattern.
4. Several repetitions of a melodic phrase in different keys.
In music, a device allowing key modulation favored by early keyboard composers in which a phrase is repeated sequentially, each time transposing to a different key.
ETYM Latin series, from serere, sertum, to join or bind together; cf. Skr. sarit thread. Related to Assert, Desert a solitude, Exert, Insert, Seraglio.
(Homonym: Ceres).
1. A periodical that appears at scheduled times; SYN. serial, serial publication.
2. Similar things placed or happening one after another.
3. The sum of a finite or infinite sequence of expressions.
1. The act of putting something in position
2. A group of things of the same kind that belong together and are so used:
3. An abstract collection of numbers or symbols
4. An unofficial association of people or groups; SYN. circle, band, lot.
5. Several exercises intended to be done in series; SYN. exercise set.
6. Any electronic equipment that receives or transmits radio or tv signals
7. A unit of play in tennis or squash
8. (Psychology) A temporary readiness to respond in a particular way; SYN. readiness.
9. The descent of a heavenly body below the horizon
A team of horses harnessed one before the other.
Two-seated carriage with horses harnessed in series.
(Homonym: tear [crying]).
1. One of a set of rows placed one above or behind the other.
2. One of two or more layers one atop another.
3. One that ties.
Math. Begriff: Eine R. entsteht aus einer Folge durch Summierung der Glieder. Sie heißt je nach der erzeugenden Folge endlich oder unendlich. Hat die Folge der Teilsummen (der Summen der n ersten Glieder) einen Grenzwert, so heißt die R. konvergent u. der Grenzwert Summe der R. Existiert kein Grenzwert, so heißt die R. divergent. Bei der arithmet. R. ist jedes Glied das arithmet. Mittel seiner benachbarten Glieder. Die Differenz zweier benachbarter Glieder ist konstant. Bei der geometr. R. ist jedes Glied das geometr. Mittel seiner benachbarten Glieder. Der Quotient zweier benachbarter Glieder ist konstant.
ETYM Latin progressio: cf. French progression.
A series with a definite pattern of advance; SYN. patterned advance.
Sequence of numbers each occurring in a specific relationship to its predecessor. An arithmetic progression has numbers that increase or decrease by a common sum or difference (for example, 2, 4, 6, 8); a geometric progression has numbers each bearing a fixed ratio to its predecessor (for example, 3, 6, 12, 24); and a harmonic progression has numbers whose reciprocals are in arithmetical progression, for example 1, ˝, 1/3, Ľ.
ETYM Latin series, from serere, sertum, to join or bind together; cf. Skr. sarit thread. Related to Assert, Desert a solitude, Exert, Insert, Seraglio.
(Homonym: Ceres).
1. A periodical that appears at scheduled times; SYN. serial, serial publication.
2. Similar things placed or happening one after another.
3. The sum of a finite or infinite sequence of expressions.