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单词 arithmetic progression
释义
arithmetic progression
noun[CorU]
mathematicsspecialized
uk
/ær.ɪθˌmet.ɪ.k prəˈɡreʃ.ən/us
/er.ɪθˌmet̬.ɪ.k prəˈɡreʃ.ən/
(alsoarithmetic sequence,uk/ær.ɪθˌmet.ɪ.k ˈsiː.kwəns/us/er.ɪθˌmet̬.ɪ.k ˈsiː.kwəns/);(alsoold-fashionedarithmetical progression,uk/ær.ɪθˌmet.ɪ.kəl prəˈɡreʃ.ən/us/er.ɪθˌmet̬.ɪ.kəl prəˈɡreʃ.ən/)
asequence(= anorderedseriesofnumbers)in which thenumbersgetbiggerorsmallerby the sameamount, such as 3, 6, 9..., or 9, 6, 3:
算术级数，等差数列，其中任何相邻两项以相同数量递增或递减，如3,6,9…, 或9,6,3
Acomputersearchrevealedanarithmeticprogressionconsisting of 23primes, thelongestsuchsequenceyetfound.电脑搜索显示了一个由 23 个素数组成的等差数列，这是迄今为止发现的最长的此类数列。
Thus theterms1, 4, 7, 10formanarithmeticsequence.因此，1,4,7,10这四项构成一个等差数列。
Compare
geometric progression
More examples
  • In thefollowingarithmeticprogressions, the first threetermsand the lasttermare given. Find thenumberofterms.
  • Asquirreliscollectingnuts. Itcollects5nutson the firstdayof themonth, 8nutson the second, 11 on the third and so on inarithmeticprogression.
  • Find whichtermof thearithmeticprogressionwill next beequalto atermof thegeometricprogression.
  • All hissculpturesarebasedon asequenceofnumbers, anarithmeticalprogression.
  • Theydiminishedthepriceoftheirproduceinarithmeticalprogression.
SMART Vocabulary: related words and phrases
Numerical relationships
  • absolute maximum
  • absolute minimum
  • cardinality
  • decreasing
  • differential
  • differential equation
  • disproportionate
  • intersect
  • inverse function
  • inverse proportion
  • linear
  • linearly
  • monotonic
  • percent
  • percentage
  • prorated
  • quantile
  • ratio
  • recursion
  • trinomial
See more results »
(Definition ofarithmetic progressionfrom theCambridge Advanced Learner's Dictionary & Thesaurus© Cambridge University Press)

Examplesofarithmetic progression

arithmetic progression
It is easy to see that in each case thearithmeticprogressionthat we considered is a rainbowarithmeticprogression.
From theCambridge English Corpus
However, this contradicts our choice of thearithmeticprogression.
From theCambridge English Corpus
On sets of integers containing no k elements inarithmeticprogression.
From theCambridge English Corpus
Their successive capacities form anarithmeticprogression.
From theCambridge English Corpus
Due to mathematical properties of natural logarithm, the cycle lengths (periods) of oscillations, as an inverse of frequency, also form anarithmeticprogressionafter natural logarithmic transformation.
From theCambridge English Corpus
In fact, a monochromatic solution of the system above is a monochromaticarithmeticprogressionof length k with the additional property that the difference has the same colour, too.
From theCambridge English Corpus
Specifically, the center frequencies and frequency ranges of oscillation bands with successively faster frequencies, from ultra-slow to ultra-fast frequency oscillations, form anarithmeticprogressionon the natural logarithmic scale.
From theCambridge English Corpus
The constant intervals between oscillation bands on the logarithmic scale (arithmeticprogression) correspond to a constant ratio between the bands on the linear scale (geometric progression).
From theCambridge English Corpus
It is much fairer to have anarithmeticprogressionof taxation relief rather than a geometric progression.
From the
Hansard archive
Example from the Hansard archive. Contains Parliamentary information licensed under theOpen Parliament Licence v3.0
He referred to a worryingarithmeticprogressionof the basic pension from £5 this year to £3 next year and came up with £1.50 the following year.
From the
Hansard archive
Example from the Hansard archive. Contains Parliamentary information licensed under theOpen Parliament Licence v3.0
In the nature of anarithmeticprogression, it was four, two, four, six, four, six.
From the
Hansard archive
Example from the Hansard archive. Contains Parliamentary information licensed under theOpen Parliament Licence v3.0
We owe him the general concept of factorial as a product of a finite number of terms inarithmeticprogression.
From
Wikipedia
Creatives commons iconThis example is from Wikipedia and may be reused under a CC BY-SA license.
The behavior of thearithmeticprogressiondepends on the common difference "d".
From
Wikipedia
Creatives commons iconThis example is from Wikipedia and may be reused under a CC BY-SA license.
A finite portion of anarithmeticprogressionis called a finitearithmeticprogressionand sometimes just called anarithmeticprogression.
From
Wikipedia
Creatives commons iconThis example is from Wikipedia and may be reused under a CC BY-SA license.
The 30-60-90 triangle is the only right triangle whose angles are in anarithmeticprogression.
From
Wikipedia
Creatives commons iconThis example is from Wikipedia and may be reused under a CC BY-SA license.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
#https://dictionary.cambridge.org//dictionary/english/arithmetic-progression##
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更新时间：2024/12/28 12:06:22