variationaladj.

Brit.

/ˌvɛːrɪˈeɪʃn̩(ə)l/, U.S.

/ˌvɛriˈeɪʃ(ə)nəl/

Etymology: < variation n. + -al suffix¹.

Marked or characterized by, dealing with or concerning, variation, in various senses; spec. with reference to variation n. 13b.

ΘΚΠ

the world > time > change > changeableness > [adjective]

slidinga900

wankleeOE

windyc1000

unsteadfastc1200

fleeting?c1225

loose?c1225

brotelc1315

unstablec1340

varyingc1340

variantc1374

motleyc1380

ungroundedc1380

muablea1393

passiblea1393

remuablea1393

changeablea1398

movablea1398

variablec1397

slidderya1400

ticklec1400

variantc1412

flitting1413

mutable?a1425

movingc1425

flaskisable1430

flickering1430

transmutablec1430

vertible1447

brittlea1450

ficklea1450

permutablec1450

unfirmc1450

uncertain1477

turnable1483

unsteadfast1483

vagrantc1522

inconstant1526

alterable?1531

stirringc1540

slippery1548

various1552

slid?1553

mutala1561

rolling1561

weathery1563

unconstant1568

interchangeable1574

fluctuant1575

stayless1575

transitive1575

voluble1575

changeling1577

queasy1579

desultory1581

huff-puff1582

unstaid1586

vagrant1586

changeful1590

floating1594

Protean1594

unstayed1594

swimming1596

anchorless1597

mobilec1600

ticklish1601

catching1603

labile1603

unrooted1604

quicksilvered1605

versatile1605

insubstantial1607

uncertain1609

brandling1611

rootless1611

squeasy1611

wind-changinga1616

insolid1618

ambulatory1625

versatilous1629

plastic1633

desultorious1637

unbottomed1641

fluid1642

fluent1648

yea-and-nay1648

versipellous1650

flexile1651

uncentred1652

variating1653

chequered1656

slideable1662

transchangeative1662

weathercock-like1663

flicketing1674

fluxa1677

lapsable1678

wanton1681

veering1684

upon the weathercock1702

contingent1703

unsettled?1726

fermentable1731

afloat1757

brickle1768

wavy1795

vagarious1798

unsettled1803

fitful1810

metamorphosical1811

undulating1815

tittupya1817

titubant1817

mutative1818

papier mâché1818

teetotum1819

vacillating1822

capricious1823

sensitive1828

quicksilvery1829

unengrafted1829

fluxionala1834

proteiform1833

liquid1835

tottlish1835

kaleidoscopic1846

versative1846

kaleidoscopical1858

tottery1861

choppy1865

variative1874

variational1879

wimbly-wambly1881

fluctuable1882

shifty1882

giveable1884

shifty1884

tippy1886

mutatory1890

upsettable1890

rocky1897

undulatory1897

streaky1898

tottly1905

tipply1906

up and down1907

inertialess1927

sometimey1946

rise-and-fall1950

switchable1961

the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to equations

algebraic1657

lateral1670

explicable1706

unreduced1762

homogeneous1815

resolvent1860

Pellian1862

equational1864

canonizant1879

variational1879

unilateral1884

non-dimensional1904

open1937

inhomogeneous1943

stiff1952

the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions

generating1671

exponential1704

discontinuous1803

functional1806

odd1812

periodic1820

syzygetic1850

convex1858

graphometric1865

polycyclic1869

subrational1875

synectic1876

variational1879

polyhedral1881

holomorphic1886

tropical1887

Gudermannian1888

monogeneous1888

monotonous1890

oscillating1893

monotonic1901

monotone1903

orthogonalized1909

schlicht1925

concave1942

deconvolved1974

unate1978

1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §327 Which..is the general variational equation of motion of a conservative system.

1888 Encycl. Brit. XXIV. 77/1 This succession of variational theories.

1897 Acta Math. XXI. 99 His substitution of the Variational Curve for the ellipse as the intermediate orbit is..of primary importance in the Lunar Theory.

1907 Sat. Rev. 5 Oct. 422/1 Man..is more variational than woman.

1937 E. C. Kemble Fund. Princ. Quantum Mech. iv. 130 Let J denote the integral J[y, λ]... Let δy denote the first variation in y(x)... Let it be required to find a function y(x) and a corresponding value for the parameter λ which satisfy the variational equation δJ = 0.

1957 L. Fox Numerical Solution Two-point Boundary Probl. viii. 259 With a single second-order equation we were able to fix both y₀ and y₁, so that y_n was a function only of λ, and by solving a variational equation for ∂y/∂λ we were able to alter λ systematically until a solution was obtained.

1962 C. S. Ogilvy Tomorrow's Math ix. 125 Questions asking what shape, what path, or what form will yield a minimal or optimal result are known as variational problems.

1971 Physics Bull. Jan. 17/1 We introduce a trial wave-function ψ containing as many variational parameters as we feel to be necessary or sufficient, and then choose the values of these parameters in such a way that the Rayleigh ratio..shall be stationary.

Draft additions 1993

variˈationally adv.

ΘΚΠ

the world > time > change > [adverb]

inconstantly1549

changeably1567

changingly1580

variably?1591

fickle1596

unsettledlyc1598

mutably1611

changefully1615

up and down1643

veeringly1847

varyinglyc1862

kaleidoscopically1866

shiftily1878

modificationally1908

variationally1961

1961 in N. Webster

1968 C. G. Kuper Introd. Theory Superconductivity vii. 121 The parameter K is still unspecified; it will be determined variationally at a later stage.

1972 Jrnl. Differential Geometry July 149 The action of K on M is variationally complete if it produces enough Jacobi fields along geodesics to determine the multiplicities of focal points to the K-orbits.

This entry has not yet been fully updated (first published 1916; most recently modified version published online December 2021).

单词	variational
释义	variationaladj. Brit. /ˌvɛːrɪˈeɪʃn̩(ə)l/, U.S. /ˌvɛriˈeɪʃ(ə)nəl/ Etymology: < variation n. + -al suffix¹. Marked or characterized by, dealing with or concerning, variation, in various senses; spec. with reference to variation n. 13b. ΘΚΠ the world > time > change > changeableness > [adjective] slidinga900 wankleeOE windyc1000 unsteadfastc1200 fleeting?c1225 loose?c1225 brotelc1315 unstablec1340 varyingc1340 variantc1374 motleyc1380 ungroundedc1380 muablea1393 passiblea1393 remuablea1393 changeablea1398 movablea1398 variablec1397 slidderya1400 ticklec1400 variantc1412 flitting1413 mutable?a1425 movingc1425 flaskisable1430 flickering1430 transmutablec1430 vertible1447 brittlea1450 ficklea1450 permutablec1450 unfirmc1450 uncertain1477 turnable1483 unsteadfast1483 vagrantc1522 inconstant1526 alterable?1531 stirringc1540 slippery1548 various1552 slid?1553 mutala1561 rolling1561 weathery1563 unconstant1568 interchangeable1574 fluctuant1575 stayless1575 transitive1575 voluble1575 changeling1577 queasy1579 desultory1581 huff-puff1582 unstaid1586 vagrant1586 changeful1590 floating1594 Protean1594 unstayed1594 swimming1596 anchorless1597 mobilec1600 ticklish1601 catching1603 labile1603 unrooted1604 quicksilvered1605 versatile1605 insubstantial1607 uncertain1609 brandling1611 rootless1611 squeasy1611 wind-changinga1616 insolid1618 ambulatory1625 versatilous1629 plastic1633 desultorious1637 unbottomed1641 fluid1642 fluent1648 yea-and-nay1648 versipellous1650 flexile1651 uncentred1652 variating1653 chequered1656 slideable1662 transchangeative1662 weathercock-like1663 flicketing1674 fluxa1677 lapsable1678 wanton1681 veering1684 upon the weathercock1702 contingent1703 unsettled?1726 fermentable1731 afloat1757 brickle1768 wavy1795 vagarious1798 unsettled1803 fitful1810 metamorphosical1811 undulating1815 tittupya1817 titubant1817 mutative1818 papier mâché1818 teetotum1819 vacillating1822 capricious1823 sensitive1828 quicksilvery1829 unengrafted1829 fluxionala1834 proteiform1833 liquid1835 tottlish1835 kaleidoscopic1846 versative1846 kaleidoscopical1858 tottery1861 choppy1865 variative1874 variational1879 wimbly-wambly1881 fluctuable1882 shifty1882 giveable1884 shifty1884 tippy1886 mutatory1890 upsettable1890 rocky1897 undulatory1897 streaky1898 tottly1905 tipply1906 up and down1907 inertialess1927 sometimey1946 rise-and-fall1950 switchable1961 the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to equations algebraic1657 lateral1670 explicable1706 unreduced1762 homogeneous1815 resolvent1860 Pellian1862 equational1864 canonizant1879 variational1879 unilateral1884 non-dimensional1904 open1937 inhomogeneous1943 stiff1952 the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions generating1671 exponential1704 discontinuous1803 functional1806 odd1812 periodic1820 syzygetic1850 convex1858 graphometric1865 polycyclic1869 subrational1875 synectic1876 variational1879 polyhedral1881 holomorphic1886 tropical1887 Gudermannian1888 monogeneous1888 monotonous1890 oscillating1893 monotonic1901 monotone1903 orthogonalized1909 schlicht1925 concave1942 deconvolved1974 unate1978 1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §327 Which..is the general variational equation of motion of a conservative system. 1888 Encycl. Brit. XXIV. 77/1 This succession of variational theories. 1897 Acta Math. XXI. 99 His substitution of the Variational Curve for the ellipse as the intermediate orbit is..of primary importance in the Lunar Theory. 1907 Sat. Rev. 5 Oct. 422/1 Man..is more variational than woman. 1937 E. C. Kemble Fund. Princ. Quantum Mech. iv. 130 Let J denote the integral J[y, λ]... Let δy denote the first variation in y(x)... Let it be required to find a function y(x) and a corresponding value for the parameter λ which satisfy the variational equation δJ = 0. 1957 L. Fox Numerical Solution Two-point Boundary Probl. viii. 259 With a single second-order equation we were able to fix both y₀ and y₁, so that y_n was a function only of λ, and by solving a variational equation for ∂y/∂λ we were able to alter λ systematically until a solution was obtained. 1962 C. S. Ogilvy Tomorrow's Math ix. 125 Questions asking what shape, what path, or what form will yield a minimal or optimal result are known as variational problems. 1971 Physics Bull. Jan. 17/1 We introduce a trial wave-function ψ containing as many variational parameters as we feel to be necessary or sufficient, and then choose the values of these parameters in such a way that the Rayleigh ratio..shall be stationary. Draft additions 1993 variˈationally adv. ΘΚΠ the world > time > change > [adverb] inconstantly1549 changeably1567 changingly1580 variably?1591 fickle1596 unsettledlyc1598 mutably1611 changefully1615 up and down1643 veeringly1847 varyinglyc1862 kaleidoscopically1866 shiftily1878 modificationally1908 variationally1961 1961 in N. Webster 1968 C. G. Kuper Introd. Theory Superconductivity vii. 121 The parameter K is still unspecified; it will be determined variationally at a later stage. 1972 Jrnl. Differential Geometry July 149 The action of K on M is variationally complete if it produces enough Jacobi fields along geodesics to determine the multiplicities of focal points to the K-orbits. This entry has not yet been fully updated (first published 1916; most recently modified version published online December 2021). < adj.1879
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