progression

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(prə-grĕsh'ən) pronunciation
n.
  1. The process of progressing; progress.
  2. Movement from one member of a continuous series to the next.
  3. A continuous series; a sequence. See synonyms at series.
  4. Mathematics. A series of numbers or quantities in which there is always the same relation between each quantity and the one succeeding it.
  5. Music.
    1. A succession of tones or chords.
    2. A series of repetitions of a phrase, each in a new position on the scale.
progressional pro·gres'sion·al adj.

A major training principle which states that the benefits accrued from training will continue only if training workloads are gradually increased. Workloads should also be higher than usual (see overload principle). The minimum level of training which satisfies the overload principle increases as fitness improves. Consequently, workloads have to be increased progressively. This can be achieved by varying the frequency, duration, and intensity of training. Changes in intensity have the greatest effect on fitness, but they also present the greatest risk of sports injuries. Therefore, most coaches and exercise physiologists agree that it is best to vary first the frequency, keeping the intensity low until the desired number of sessions per week are reached (e.g. three); then to increase duration; and finally to increase intensity when the fitness level is sufficiently high to cope with the demands. The key to successful training is to increase the workload gradually over a long period so that improvements can be maintained and overtraining avoided. Workloads which are too high, and abrupt increases in frequency, duration, or intensity, can provoke overuse injuries.

Roget's Thesaurus:

progression

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noun

  1. Forward movement: advance, advancement, furtherance, headway, march1, progress. See better/worse, forward/backward.
  2. A number of things placed or occurring one after the other: chain, consecution, course, order, procession, round, run, sequence, series, string, succession, suite, train. Informal streak. See order/disorder.

A succession of chords or chord-like constructions having a coherence as an expression of harmony (‘chord progression’, ‘harmonic progression’), especially one based on a familiar pattern (‘blues progression’).



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progression, in mathematics, sequence of quantities, called terms, in which the relationship between consecutive terms is the same. An arithmetic progression is a sequence in which each term is derived from the preceding one by adding a given number, d, called the common difference. It has the general form a, a+d, a+2d, … , a+(n−1)d, … , where a is some number and a+(n−1)d is the nth, or general, term; e.g., the progression 3, 7, 11, 15, … is arithmetic with a=3 and d=4. The value of the 20th term, i.e., when n=20, is found by using the general term: for a=3, d=4, and n=20, its value is 3+(20−1)4=79. An arithmetic series is the indicated sum of an arithmetic progression, and its sum of the first n terms is given by the formula [2a+(n−1)d]n/2; in the above example the arithmetic series is 3+7+11+15+… , and the sum of the first 5 terms, i.e., when n=5, is [2·3+(5−1)4] 5/2=55. A geometric progression is one in which each term is derived by multiplying the preceding term by a given number r, called the common ratio; it has the general form a, ar, ar2, … , arn−1, … , where a and n have the same meanings as above; e.g., the progression 1, 2, 4, 8, … is geometric with a=1 and r=2. The value of the 10th term, i.e., when n=10, is given as 1·210−1=29=512. The sum of the geometric progression is given by the formula a(1−rn)/(1−r) for the first n terms. A harmonic progression is one in which the terms are the reciprocals of the terms of an arithmetic progression; it therefore has the general form 1/a</i>, 1/(a</i> + d</i>), … , 1/[a</i>+(n</i>−1)d</i>]. This type of progression has no general formula to express its sum.


Random House Word Menu:

categories related to 'progression'

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Random House Word Menu by Stephen Glazier
For a list of words related to progression, see:

Translations:

Progression

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Dansk (Danish)
n. - fremadskriden, række

Nederlands (Dutch)
(stapsgewijze) voortgang, serie

Français (French)
n. - évolution, progression, succession, (Math) suite, (Mus) progression

Deutsch (German)
n. - Folge, Fortbewegung, Progression, Reihe

Ελληνική (Greek)
n. - πρόοδος, εξέλιξη, κίνηση

Italiano (Italian)
progresso, progressione

Português (Portuguese)
n. - progressão (f)

Русский (Russian)
прогрессия, продвижение

Español (Spanish)
n. - progresión

Svenska (Swedish)
n. - fortgång, förflyttning framåt, talföljd (mat.)

中文(简体)(Chinese (Simplified))
前进, 发展, 连续, 改进

中文(繁體)(Chinese (Traditional))
n. - 前進, 發展, 連續, 改進

한국어 (Korean)
n. - 전진, 진행, 개량

日本語 (Japanese)
n. - 進行, 前進, 工程, 経過, 数列

العربيه (Arabic)
‏(الاسم) المتواليه, تقدم, توال‏

עברית (Hebrew)
n. - ‮התקדמות, טור, סידרה, סידרה חשבונית או הנדסית‬


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