logarithmicadj.n.

Brit.

/ˌlɒɡəˈrɪðmɪk/,

/ˌlɒɡəˈrɪθmɪk/, U.S.

/ˌlɔɡəˈrɪðmɪk/,

/ˌlɑɡəˈrɪðmɪk/

Etymology: < logarithm n. + -ic suffix. Compare French logarithmique.

Mathematics.

A. adj.

a. Of or pertaining to logarithms. Also in logarithmic sine, tangent, secant, etc., used (somewhat incorrectly) to denote the logarithm of the function named; opposed to natural. logarithmic amplifier Electr., an amplifier which produces an output in logarithmic proportion to the input; logarithmic curve (or line), a curve having its ordinates in geometrical progression and its abscissas in arithmetical progression, so that the abscissas are the logarithms of the corresponding ordinates; logarithmic decrement: see decrement n. 2b; logarithmic ellipse, logarithmic hyperbola (see quots. 1851¹, 1851²); logarithmic phase Biol., the period during which the population of a culture of bacteria increases exponentially with time; logarithmic spiral, a spiral which intersects all its radiants at the same angle.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > logarithm > [adjective]

logarithmetical1621

loga1630

logarithmal1630

logarithmical1631

logarithmic1698

logarithmetic1721

the world > relative properties > number > geometry > curve > [noun] > logarithmic

logarithmic curve (or line)1698

logistic1728

logarithmic1753

log1785

logistic line-

the world > relative properties > number > arithmetic or algebraic operations > logarithm > [adjective] > of particular functions

logarithmical1631

logarithmic1754

the world > life > biology > laboratory analysis > period > [noun]

logarithmic phase1914

prothrombin time1927

log phase1938

turnover time1943

survival time1947

pulse1960

scotophase1962

the world > physical sensation > hearing and noise > audibility > sound magnification or reproduction > [noun] > amplifier

power amplifier1920

buffer amplifier1933

preamplifier1934

amp1945

power amp1947

logarithmic amplifier1954

preamp1955

head1968

1698 J. Keill Exam. Theory Earth (1734) 243 The Applicate of the Logarithmick curve DEF.

1706 W. Jones Synopsis Palmariorum Matheseos 261 The Curve describ'd by their Intersection is called the Logarithmic Line... A Point from the Extremity thereof, moving towards the Centre with a Velocity decreasing in a Geometric Progression, will generate a Curve called the Logarithmic Spiral.

1754 J. Robertson in Philos. Trans. 1753 (Royal Soc.) 48 100 Now subtract the logarithmic versed sines of such degrees..as are intended to be put on the scale, from the logarithm versed sine of 180°.

1797 Encycl. Brit. II. 423/2 Constructing logarithmic tables to facilitate their [sc. astronomers] calculations.

1851 J. Booth Elliptic Integrals Pref. I have named them [two curves] the spherical parabola, and the logarithmic ellipse... The latter [may be traced] on a paraboloid of revolution.

1851 J. Booth Elliptic Integrals 159 If a right cylinder, standing on a plane hyperbola as a base, be substituted for the elliptic cylinder, the curve of intersection with the paraboloid may be named the logarithmic hyperbola.

1878 W. K. Clifford Elem. Dynamic i. 78 A point is said to have logarithmic motion on a straight line when the distance from a fixed point on the line is equally multiplied in equal times.

1881 J. C. Maxwell Treat. Electr. & Magnetism (ed. 2) II. 347 Another point which moves with uniform angular velocity in a logarithmic spiral.

1914 Jrnl. Hygiene 14 260 This selected strain holds the field during the second or logarithmic phase.

1938 H. L. Hind Brewing I. xv. 367 This method..was termed the Log phase method because it is used to measure acidity during the logarithmic phase of the growth of the bacterium in wort.

1954 C. P. Snow New Men vi. 101 There was one of those counters whose ticking I had come to expect in any Barford laboratory; there was a logarithmic amplifier, a D.C. amplifier..which would give a measure..of the ‘neutron flux’.

1957 C. Wu in C. F. Bonilla Nucl. Engin. iv. 128 When a wide range of the neutron flux, as much as six to eight decades, is to be measured, a logarithmic amplifier must be used.

1971 J. S. Hough et al. Malting & Brewing Sci. xviii. 480 The next stage is the dividing of the cells at a constant rate, referred to as the ‘exponential phase’ or ‘logarithmic phase’.

b. Pertaining to the logarithmic curve.

ΘΚΠ

the world > relative properties > number > geometry > curve > [adjective] > logarithmic

logarithmic1875

logistic line-

1875 R. F. Martin tr. J. Havrez On Recent Improvem. Winding Machinery 17 A round steel rope of logarithmic form..would weigh only 1594 kilogs.

B. n.

= logarithmic curve (or line) at sense A. a.

ΘΚΠ

the world > relative properties > number > geometry > curve > [noun] > logarithmic

logarithmic curve (or line)1698

logistic1728

logarithmic1753

log1785

logistic line-

1753 Chambers's Cycl. Suppl. (at cited word) Let AVD be a logarithmic, and its ordinates AB, VC, DQ.

1797 Brougham in Philos. Trans. (Royal Soc.) 88 396 The common logarithmic has its subtangent constant.

This entry has not yet been fully updated (first published 1903; most recently modified version published online March 2022).

单词	logarithmic
释义	logarithmicadj.n. Brit. /ˌlɒɡəˈrɪðmɪk/, /ˌlɒɡəˈrɪθmɪk/, U.S. /ˌlɔɡəˈrɪðmɪk/, /ˌlɑɡəˈrɪðmɪk/ Etymology: < logarithm n. + -ic suffix. Compare French logarithmique. Mathematics. A. adj. a. Of or pertaining to logarithms. Also in logarithmic sine, tangent, secant, etc., used (somewhat incorrectly) to denote the logarithm of the function named; opposed to natural. logarithmic amplifier Electr., an amplifier which produces an output in logarithmic proportion to the input; logarithmic curve (or line), a curve having its ordinates in geometrical progression and its abscissas in arithmetical progression, so that the abscissas are the logarithms of the corresponding ordinates; logarithmic decrement: see decrement n. 2b; logarithmic ellipse, logarithmic hyperbola (see quots. 1851¹, 1851²); logarithmic phase Biol., the period during which the population of a culture of bacteria increases exponentially with time; logarithmic spiral, a spiral which intersects all its radiants at the same angle. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > logarithm > [adjective] logarithmetical1621 loga1630 logarithmal1630 logarithmical1631 logarithmic1698 logarithmetic1721 the world > relative properties > number > geometry > curve > [noun] > logarithmic logarithmic curve (or line)1698 logistic1728 logarithmic1753 log1785 logistic line- the world > relative properties > number > arithmetic or algebraic operations > logarithm > [adjective] > of particular functions logarithmical1631 logarithmic1754 the world > life > biology > laboratory analysis > period > [noun] logarithmic phase1914 prothrombin time1927 log phase1938 turnover time1943 survival time1947 pulse1960 scotophase1962 the world > physical sensation > hearing and noise > audibility > sound magnification or reproduction > [noun] > amplifier power amplifier1920 buffer amplifier1933 preamplifier1934 amp1945 power amp1947 logarithmic amplifier1954 preamp1955 head1968 1698 J. Keill Exam. Theory Earth (1734) 243 The Applicate of the Logarithmick curve DEF. 1706 W. Jones Synopsis Palmariorum Matheseos 261 The Curve describ'd by their Intersection is called the Logarithmic Line... A Point from the Extremity thereof, moving towards the Centre with a Velocity decreasing in a Geometric Progression, will generate a Curve called the Logarithmic Spiral. 1754 J. Robertson in Philos. Trans. 1753 (Royal Soc.) 48 100 Now subtract the logarithmic versed sines of such degrees..as are intended to be put on the scale, from the logarithm versed sine of 180°. 1797 Encycl. Brit. II. 423/2 Constructing logarithmic tables to facilitate their [sc. astronomers] calculations. 1851 J. Booth Elliptic Integrals Pref. I have named them [two curves] the spherical parabola, and the logarithmic ellipse... The latter [may be traced] on a paraboloid of revolution. 1851 J. Booth Elliptic Integrals 159 If a right cylinder, standing on a plane hyperbola as a base, be substituted for the elliptic cylinder, the curve of intersection with the paraboloid may be named the logarithmic hyperbola. 1878 W. K. Clifford Elem. Dynamic i. 78 A point is said to have logarithmic motion on a straight line when the distance from a fixed point on the line is equally multiplied in equal times. 1881 J. C. Maxwell Treat. Electr. & Magnetism (ed. 2) II. 347 Another point which moves with uniform angular velocity in a logarithmic spiral. 1914 Jrnl. Hygiene 14 260 This selected strain holds the field during the second or logarithmic phase. 1938 H. L. Hind Brewing I. xv. 367 This method..was termed the Log phase method because it is used to measure acidity during the logarithmic phase of the growth of the bacterium in wort. 1954 C. P. Snow New Men vi. 101 There was one of those counters whose ticking I had come to expect in any Barford laboratory; there was a logarithmic amplifier, a D.C. amplifier..which would give a measure..of the ‘neutron flux’. 1957 C. Wu in C. F. Bonilla Nucl. Engin. iv. 128 When a wide range of the neutron flux, as much as six to eight decades, is to be measured, a logarithmic amplifier must be used. 1971 J. S. Hough et al. Malting & Brewing Sci. xviii. 480 The next stage is the dividing of the cells at a constant rate, referred to as the ‘exponential phase’ or ‘logarithmic phase’. b. Pertaining to the logarithmic curve. ΘΚΠ the world > relative properties > number > geometry > curve > [adjective] > logarithmic logarithmic1875 logistic line- 1875 R. F. Martin tr. J. Havrez On Recent Improvem. Winding Machinery 17 A round steel rope of logarithmic form..would weigh only 1594 kilogs. B. n. = logarithmic curve (or line) at sense A. a. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > logarithmic logarithmic curve (or line)1698 logistic1728 logarithmic1753 log1785 logistic line- 1753 Chambers's Cycl. Suppl. (at cited word) Let AVD be a logarithmic, and its ordinates AB, VC, DQ. 1797 Brougham in Philos. Trans. (Royal Soc.) 88 396 The common logarithmic has its subtangent constant. This entry has not yet been fully updated (first published 1903; most recently modified version published online March 2022). < adj.n.1698
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