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单词 quadratically
释义

quadraticallyadv.

Brit. /kwɒˈdratᵻkli/, /kwəˈdratᵻkli/, U.S. /kwɑˈdrædək(ə)li/
Origin: Formed within English, by derivation. Etymons: quadratic adj., -ally suffix; quadratical adj., -ly suffix2.
Etymology: Either < quadratic adj. + -ally suffix, or < quadratical adj. + -ly suffix2.Compare earlier quadrato-quadratically ( < quadrato-quadratic adj. at quadrato- comb. form 1):1647 R. Wood tr. W. Oughtred Key Math. 123 If the Side 15 multiplied Quadrato-quadraticly, be drawn into 25.
Mathematics.
So as to form a quadratic expression; according to a quadratic equation or function.
ΘΚΠ
the world > relative properties > number > algebra > [adverb] > involving or with reference to equations
really1706
simultaneously1814
equationally1881
quadratically1928
perturbatively1955
1700 J. Raphson tr. J. C. Sturm Mathesis Enucleata 46 A Root expressed by 2 Letters..first Quadratically, then Cubically, &c.
1709 J. Kersey Elements Math. Art xii. 59 Exalt the other part of the Equation to the same Degree or Power which is denoted by the Radical sign, by multiplying Quadratically or Cubically.
1852 Cambr. & Dublin Math. Jrnl. 7 125 The centre and foci of the system are known, and consequently θ1θ2 and θ3θ4 may be now quadratically determined.
1870 Monthly Notices Royal Astron. Soc. 30 163 This equation contains θ quadratically.
1928 Physical Rev. 31 74 Such an equation has no quadratically integrable solution.
2000 J. McFall tr. K. Wille Physics of Particle Accelerators vi. 197 The effect is relatively strong, since the dispersion enters quadratically into the expression for the emittance.
This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022).
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adv.1700
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