英语词汇“finite difference”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

3. Mathematics. Of a line: Terminated. Of a quantity, number, distance: Limited, neither infinite nor infinitesimal. Of a group: Containing a limited number of substitutions. Of a solution: Resulting in a finite quantity. finite difference: a difference between two quantities that is finite; spec., any of the differences between the successive values of a function when its independent variable takes on the values of an arithmetical progression. finite points: such as are not at an infinite distance apart. finite series (see quot. c1865). finite state: used attributively in communication theory of any system limited to a finite number of alternative states, or of a type that, even if it contains an infinite number of parts, is producible by a generative device so limited.

ΘΚΠ

the world > relative properties > number > geometry > line > [adjective] > other

finite1570

adscribed1625

comprehending?1677

vertical1704

anharmonic1848

bilinear1851

collinear1863

nodal1863

congruent1864

non-concurrent1888

the world > relative properties > number > mathematical number or quantity > [noun] > relationship between quantities > other

finite difference1807

inverse1837

reciprocator1874

power law1919

recursive relation1934

the world > relative properties > number > mathematical number or quantity > [adjective] > ordinal > finite

finite1840

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > in abstract algebra > of groups

reducible1585

transitive1861

primitive1888

simple1888

special1888

cyclic1889

intransitive1889

solvable1892

finite1893

perfect1898

Abelian1900

soluble1902

proper1906

trivial1915

equivalent1948

hypercyclic1968

sporadic1968

the world > relative properties > number > mathematics > [noun] > idealized system or process > of specific system

finite state1949

chaos1974

1570 H. Billingsley tr. Euclid Elements Geom. i. f. 5^v To produce a right line finite, straight forth continually.

1660 tr. I. Barrow Euclide's Elements i. 9 Upon a finite right line given AB, to describe an equilateral triangle.

1807 J. Brinkley (title) An Investigation of the General Term of an important Series in the Inverse Method of Finite Differences.

1840 D. Lardner Treat. Geom. 276 The distance V F, remains finite.

1860 G. Boole Calculus of Finite Differences viii. 137 It is not true that every result of the Calculus of Finite Differences merges when the increments are indefinitely diminished into a result of the Differential Calculus.

c1865 J. Wylde Circle of Sci. I. 573/1 A series is called a finite series when it has an assignable last term.

1885 C. Leudesdorf tr. L. Cremona Elements Projective Geom. 139 Two other finite points on the curve.

1885 C. Leudesdorf tr. L. Cremona Elements Projective Geom. 265 The finite segment FF′ is cut or not by the tangents according as the conic is a hyperbola or an ellipse.

1885 H. W. Watson & S. H. Burbury Math. Theory Electr. & Magn. I. 38 It may be proved that ^{d^kP_i}/ _dμ^k is the only finite integral solution in μ of the equation.

1893 A. R. Forsyth Theory Functions Complex Variable 587 These finite discontinuous groups are of importance on the theory of polyhedral functions.

1910 Encycl. Brit. XIV. 545/1 The theorem [sc. Taylor's theorem] was first given by Brook Taylor in his Methodus Incrementorum (1717) as a corollary to a theorem concerning finite differences.

1949 C. E. Shannon & W. Weaver Math. Theory of Communication 27 The output of a finite state transducer driven by a finite state statistical source is a finite state statistical source.

1957 N. Chomsky Syntactic Struct. iii. 18 Suppose that we have a machine that can be in any one of a finite number of different internal states... Any language that can be produced by a machine of this sort we call a finite state language; and we can call the machine itself a finite state grammar.

1957 L. Fox Numerical Solution Two-point Boundary Probl. ii. 21 The rigorous theory of finite differences attaches a remainder term to every finite-difference formula and sometimes..the formula diverges and gives no useful result.

1969 Listener 10 July 44/1 Finite-state rules are the simplest kind of grammar rule; they can be as simple as ‘after “the” produce any noun at all’.

1971 Math. Rev. Feb. 278/1 The authors treat some elementary aspects of the theory of finite differences.

单词	finite difference
释义	> as lemmas finite difference 3. Mathematics. Of a line: Terminated. Of a quantity, number, distance: Limited, neither infinite nor infinitesimal. Of a group: Containing a limited number of substitutions. Of a solution: Resulting in a finite quantity. finite difference: a difference between two quantities that is finite; spec., any of the differences between the successive values of a function when its independent variable takes on the values of an arithmetical progression. finite points: such as are not at an infinite distance apart. finite series (see quot. c1865). finite state: used attributively in communication theory of any system limited to a finite number of alternative states, or of a type that, even if it contains an infinite number of parts, is producible by a generative device so limited. ΘΚΠ the world > relative properties > number > geometry > line > [adjective] > other finite1570 adscribed1625 comprehending?1677 vertical1704 anharmonic1848 bilinear1851 collinear1863 nodal1863 congruent1864 non-concurrent1888 the world > relative properties > number > mathematical number or quantity > [noun] > relationship between quantities > other finite difference1807 inverse1837 reciprocator1874 power law1919 recursive relation1934 the world > relative properties > number > mathematical number or quantity > [adjective] > ordinal > finite finite1840 the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > in abstract algebra > of groups reducible1585 transitive1861 primitive1888 simple1888 special1888 cyclic1889 intransitive1889 solvable1892 finite1893 perfect1898 Abelian1900 soluble1902 proper1906 trivial1915 equivalent1948 hypercyclic1968 sporadic1968 the world > relative properties > number > mathematics > [noun] > idealized system or process > of specific system finite state1949 chaos1974 1570 H. Billingsley tr. Euclid Elements Geom. i. f. 5^v To produce a right line finite, straight forth continually. 1660 tr. I. Barrow Euclide's Elements i. 9 Upon a finite right line given AB, to describe an equilateral triangle. 1807 J. Brinkley (title) An Investigation of the General Term of an important Series in the Inverse Method of Finite Differences. 1840 D. Lardner Treat. Geom. 276 The distance V F, remains finite. 1860 G. Boole Calculus of Finite Differences viii. 137 It is not true that every result of the Calculus of Finite Differences merges when the increments are indefinitely diminished into a result of the Differential Calculus. c1865 J. Wylde Circle of Sci. I. 573/1 A series is called a finite series when it has an assignable last term. 1885 C. Leudesdorf tr. L. Cremona Elements Projective Geom. 139 Two other finite points on the curve. 1885 C. Leudesdorf tr. L. Cremona Elements Projective Geom. 265 The finite segment FF′ is cut or not by the tangents according as the conic is a hyperbola or an ellipse. 1885 H. W. Watson & S. H. Burbury Math. Theory Electr. & Magn. I. 38 It may be proved that ^{d^kP_i}/ _dμ^k is the only finite integral solution in μ of the equation. 1893 A. R. Forsyth Theory Functions Complex Variable 587 These finite discontinuous groups are of importance on the theory of polyhedral functions. 1910 Encycl. Brit. XIV. 545/1 The theorem [sc. Taylor's theorem] was first given by Brook Taylor in his Methodus Incrementorum (1717) as a corollary to a theorem concerning finite differences. 1949 C. E. Shannon & W. Weaver Math. Theory of Communication 27 The output of a finite state transducer driven by a finite state statistical source is a finite state statistical source. 1957 N. Chomsky Syntactic Struct. iii. 18 Suppose that we have a machine that can be in any one of a finite number of different internal states... Any language that can be produced by a machine of this sort we call a finite state language; and we can call the machine itself a finite state grammar. 1957 L. Fox Numerical Solution Two-point Boundary Probl. ii. 21 The rigorous theory of finite differences attaches a remainder term to every finite-difference formula and sometimes..the formula diverges and gives no useful result. 1969 Listener 10 July 44/1 Finite-state rules are the simplest kind of grammar rule; they can be as simple as ‘after “the” produce any noun at all’. 1971 Math. Rev. Feb. 278/1 The authors treat some elementary aspects of the theory of finite differences. extracted from finiteadj.n. < as lemmas
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