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单词 arithmetical
释义

arithmeticaladj.n.

/arɪθˈmɛtɪkəl/
Etymology: < Latin arithmēticus, < Greek ἀριθμητικός numeric (see arithmetic n.1) + -al suffix1.
A. adj.
Of, pertaining to, or connected with, arithmetic; according to the rules of arithmetic. arithmetical mean, arithmetical progression, arithmetical proportion: see quot.
ΘΚΠ
the world > relative properties > number > arithmetic > [adjective]
arithmetical1553
arithmetic1673
arith.1687
algorismic1847
arithmological1882
the world > relative properties > number > ratio or proportion > [noun] > equal or constant > where difference between terms is equal
arithmetical proportion1553
the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > progression
progressionc1450
arithmetical progression1553
geometrical progression1557
geometric progression1696
geometric ratio1736
arithmetical ratio1798
geometrical ratio1798
arithmetic progression1886
harmonic series1964
the world > relative properties > number > arithmetic or algebraic operations > [noun] > mean
meanc1450
medium1573
mediety1598
mediocrity1726
arithmetical mean1798
arithmetic mean1866
root-mean-square1895
mid-range1902
1553 tr. S. Gardiner De Vera Obediencia: an Oration sig. ffviv Do we not see all one man to vse diuerse offices at home, like Arithmeticall figures, now to occupie the furst and chief rowme, than the seconde, afterwarde the thrid, & somtyme a lower rowme.
1594 T. Blundeville Exercises i. xiii. f. 18 Arithmeticall Progression..is that which proceedeth by like difference of quantitie, as thus, 3. 5. 7. 9. 11. 13.
1660 R. Coke Justice Vindicated i. 23 As 3. 4. 5. 6. are in Arithmetical proportion, for they increase equally; and 3. added to 6. is equal to 4. added to 5.
1798 C. Hutton Course Math. I. 99 To find an Arithmetical Mean..Add the two given extremes or terms together, and take half their sum.
1855 T. B. Macaulay Hist. Eng. IV. xix. 327 In the face of arithmetical demonstration.
B. n.
A number in an arithmetical progression.
ΘΚΠ
the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > progression > numerical elements in or parts of
parcel1561
figurate numbers1666
harmonic mean1706
harmonical1796
arithmetical1798
harmonic average1949
1798 C. Hutton Course Math. I. 104 The sum of the extremes is equal to double the mean, which is the property of arithmeticals.

Draft additions 1993

Cf. arithmetic adj.
ΚΠ
1949 D. R. Hartree Calculating Instruments & Machines 55 Other machines..use relays not only for control but for the storage and arithmetical units of the machines themselves... The arithmetical operations may be carried out by a structurally distinct portion of the machine, which can then be regarded as a unit, the ‘arithmetical unit’.
1980 J.-L. Baer Computer Syst. Archit. i. 4 The arithmetical-logical unit (ALU) performs arithmetic and logical operations.
This entry has not yet been fully updated (first published 1885; most recently modified version published online March 2021).
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adj.n.1553
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