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

a. Having the direction of a line; extended in a line or in length; spec. in Mathematics and Physics involving measurement in one dimension only; capable of being represented by a straight line on a graph (in Cartesian co-ordinates); involving or possessing the property that a change in one quantity is accompanied by or corresponds to a directly proportional change in a related one. linear equation, an equation of the first degree. linear numbers, linear problem (see quots. 1706¹, 1706²).

ΘΚΠ

the world > relative properties > measurement > measurement of length > [adjective]

running1663

lineal1705

linear1706

the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > relating only to length

lineal numbera1398

linear numbers1706

the world > space > extension in space > measurable spatial extent > longitudinal extent > [adjective] > having (more or less) length > and no breadth or thickness

lineary1551

breadthless1642

running1663

lineal1705

linear1706

the world > relative properties > number > algebra > [noun] > expression > equation > named according to highest power

quadratic equation1647

biquadratic1661

quadratic1674

linear1684

cubic equation1728

linear equation1816

biordinal1876

the world > relative properties > number > graph or diagram > [adjective] > of a graph

reconcilable1873

smoothed1888

linear1910

J-shaped1911

nomographic1915

smooth1929

complete1935

spanning1956

reachable1959

embeddable1961

1706 Phillips's New World of Words (new ed.) Linear Numbers, are those that have relation to Length only: For Example, such as represent one Side of a plane Figure; and if the Figure be a Square, the Linear Number is call'd a Root.

1706 Phillips's New World of Words (new ed.) Linear Problem (in Mathem.), such a Problem as can be solved Geometrically, by the Intersection..of two Right~lines.

1799 J. Wood Elem. Optics (1811) iv. 83 This line is called the diameter, or linear aperture of the lens.

1806 C. Hutton Course Math. (ed. 5) I. 340 Similar Prisms and Cylinders are to each other, as the Cubes of their Altitudes, or of any other Like Linear Dimensions.

1812 J. Playfair Outl. Nat. Philos. I. 192 The superficial breadth of the stream, expressed in linear inches.

1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 326 We call it from thence, a linear equation of the first order.

1830 C. Lyell Princ. Geol. I. 314 Active volcanic vents..arranged in a linear direction.

1831 D. Brewster Treat. Optics xli. 336 The linear magnifying power is the number of times an object is magnified in length.

1867 E. B. Denison Astron. without Math. (ed. 3) 71 The resistance does diminish the actual or linear speed.

1872 H. A. Nicholson Man. Palæontol. 44 It is possible to arrange the animals of any one sub-kingdom in something like a linear series.

1882 G. M. Minchin Uniplanar Kinematics 6 A point P moves in a circle with constant linear velocity.

1882 G. M. Minchin Uniplanar Kinematics 123 So that (ξ, η) are also linear functions of (ξ′, η′); and if the first satisfy a linear equation..so must the second.

1910 Encycl. Brit. IX. 146/2 The limiting tension beyond which the above law of proportionality [between tension and extension] fails to hold is often called the ‘limit of linear elasticity’.

1940 Chambers's Techn. Dict. 503/1 Linear amplification, amplification in which the output current or voltage is strictly proportional to the input voltage.

1941 Proc. Royal Soc. A. 177 382 The disintegration of boron by slow neutrons has been investigated using an ionization chamber filled with boron trichloride in conjunction with a linear amplifier.

1942 Electronic Engin. 14 711/1 The conversion must be accomplished in a linear manner, i.e., the amplitude change is directly proportional to the frequency change.

1962 D. F. Shaw Introd. Electronics vii. 126 The preservation of the shape is a unique property of the sine wave and..is a feature which it possesses for all linear circuits.

1962 D. F. Shaw Introd. Electronics viii. 147 A circuit is linear if the individual components behave in such a manner that the amplitude of the current through each component is directly proportional to the amplitude of the applied voltage and the relationship between the phases of the voltage and current is independent of the current and voltage magnitude.

1973 Physics Bull. Oct. 606/1 A linearizer circuit is used to ensure a true linear relationship between conveyor load and indicated reading.

单词	linear equation
释义	> as lemmas linear equation a. Having the direction of a line; extended in a line or in length; spec. in Mathematics and Physics involving measurement in one dimension only; capable of being represented by a straight line on a graph (in Cartesian co-ordinates); involving or possessing the property that a change in one quantity is accompanied by or corresponds to a directly proportional change in a related one. linear equation, an equation of the first degree. linear numbers, linear problem (see quots. 1706¹, 1706²). ΘΚΠ the world > relative properties > measurement > measurement of length > [adjective] running1663 lineal1705 linear1706 the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > relating only to length lineal numbera1398 linear numbers1706 the world > space > extension in space > measurable spatial extent > longitudinal extent > [adjective] > having (more or less) length > and no breadth or thickness lineary1551 breadthless1642 running1663 lineal1705 linear1706 the world > relative properties > number > algebra > [noun] > expression > equation > named according to highest power quadratic equation1647 biquadratic1661 quadratic1674 linear1684 cubic equation1728 linear equation1816 biordinal1876 the world > relative properties > number > graph or diagram > [adjective] > of a graph reconcilable1873 smoothed1888 linear1910 J-shaped1911 nomographic1915 smooth1929 complete1935 spanning1956 reachable1959 embeddable1961 1706 Phillips's New World of Words (new ed.) Linear Numbers, are those that have relation to Length only: For Example, such as represent one Side of a plane Figure; and if the Figure be a Square, the Linear Number is call'd a Root. 1706 Phillips's New World of Words (new ed.) Linear Problem (in Mathem.), such a Problem as can be solved Geometrically, by the Intersection..of two Right~lines. 1799 J. Wood Elem. Optics (1811) iv. 83 This line is called the diameter, or linear aperture of the lens. 1806 C. Hutton Course Math. (ed. 5) I. 340 Similar Prisms and Cylinders are to each other, as the Cubes of their Altitudes, or of any other Like Linear Dimensions. 1812 J. Playfair Outl. Nat. Philos. I. 192 The superficial breadth of the stream, expressed in linear inches. 1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 326 We call it from thence, a linear equation of the first order. 1830 C. Lyell Princ. Geol. I. 314 Active volcanic vents..arranged in a linear direction. 1831 D. Brewster Treat. Optics xli. 336 The linear magnifying power is the number of times an object is magnified in length. 1867 E. B. Denison Astron. without Math. (ed. 3) 71 The resistance does diminish the actual or linear speed. 1872 H. A. Nicholson Man. Palæontol. 44 It is possible to arrange the animals of any one sub-kingdom in something like a linear series. 1882 G. M. Minchin Uniplanar Kinematics 6 A point P moves in a circle with constant linear velocity. 1882 G. M. Minchin Uniplanar Kinematics 123 So that (ξ, η) are also linear functions of (ξ′, η′); and if the first satisfy a linear equation..so must the second. 1910 Encycl. Brit. IX. 146/2 The limiting tension beyond which the above law of proportionality [between tension and extension] fails to hold is often called the ‘limit of linear elasticity’. 1940 Chambers's Techn. Dict. 503/1 Linear amplification, amplification in which the output current or voltage is strictly proportional to the input voltage. 1941 Proc. Royal Soc. A. 177 382 The disintegration of boron by slow neutrons has been investigated using an ionization chamber filled with boron trichloride in conjunction with a linear amplifier. 1942 Electronic Engin. 14 711/1 The conversion must be accomplished in a linear manner, i.e., the amplitude change is directly proportional to the frequency change. 1962 D. F. Shaw Introd. Electronics vii. 126 The preservation of the shape is a unique property of the sine wave and..is a feature which it possesses for all linear circuits. 1962 D. F. Shaw Introd. Electronics viii. 147 A circuit is linear if the individual components behave in such a manner that the amplitude of the current through each component is directly proportional to the amplitude of the applied voltage and the relationship between the phases of the voltage and current is independent of the current and voltage magnitude. 1973 Physics Bull. Oct. 606/1 A linearizer circuit is used to ensure a true linear relationship between conveyor load and indicated reading. extracted from linearadj.n. < as lemmas
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> as lemmas