Lorenz, Edward N.
Overview
Works:  85 works in 226 publications in 7 languages and 2,522 library holdings 

Genres:  Manuscripts 
Roles:  Author, Honoree, Contributor, Other, Author of introduction, Editor, Interviewee 
Publication Timeline
.
Most widely held works about
Edward N Lorenz
 Oral history dialogue between Edward Lorenz and Phil Thompson by Edward N Lorenz( )
 Oral history interview with Hans Hinzpeter by Hans Hinzpeter( )
 Oral history interview with Edward N. Lorenz by Edward N Lorenz( )
 Fractals : an animated discussion( Visual )
 The Secret Life of Chaos( Visual )
 Curvature of Riemannian spaces : minor thesis by Edward N Lorenz( )
 Edward Lorenz : climate, chaos, and the new science by Harry Henderson( Book )
 Records by Massachusetts Institute of Technology( )
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Most widely held works by
Edward N Lorenz
The essence of chaos by
Edward N Lorenz(
)
69 editions published between 1993 and 2008 in 4 languages and held by 1,743 WorldCat member libraries worldwide
Chaos Surrounds us. Seemingly random events  the flapping of a flag, a stormdriven wave striking the shore, a pinball's path  often appear to have no order, no rational pattern. Explicating the theory of chaos and the consequences of its principal findings  that actual, precise rules may govern such apparently random behavior  has been a major part of the work of Edward N. Lorenz. In The Essence of Chaos, Lorenz presents to the general reader the features of this "new science," with its farreaching implications for much of modern life, from weather prediction to philosophy, and he describes its considerable impact on emerging scientific fields. Unlike the phenomena dealt with in relativity theory and quantum mechanics, systems that are now described as "chaotic" can be observed without telescopes or microscopes. They range from the simplest happenings, such as the falling of a leaf, to the most complex processes, like the fluctuations of climate. Each process that qualifies, however, has certain quantifiable characteristics: how it unfolds depends very sensitively upon its present state, so that, even though it is not random, it seems to be. Lorenz uses examples from everyday life, and simple calculations, to show how the essential nature of chaotic systems can be understood. In order to expedite this task, he has constructed a mathematical model of a board sliding down a ski slope as his primary illustrative example. With this model as his base, he explains various chaotic phenomena, including some associated concepts such as strange attractors and bifurcations. As a meteorologist, Lorenz initially became interested in the field of chaos because of its implications for weather forecasting. In a chapter ranging through the history of weather prediction and meteorology to a brief picture of our current understanding of climate, he introduces many of the researchers who conceived the experiments and theories, and he describes his own initial encounter with chaos. A further discussion invites readers to make their own chaos. Still others debate the nature of randomness and its relationship to chaotic systems, and describe three related fields of scientific thought: nonlinearity, complexity, and fractality. Appendixes present the first publication of Lorenz's seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?"; the mathematical equations from which the copious illustrations were derived; and a glossary
69 editions published between 1993 and 2008 in 4 languages and held by 1,743 WorldCat member libraries worldwide
Chaos Surrounds us. Seemingly random events  the flapping of a flag, a stormdriven wave striking the shore, a pinball's path  often appear to have no order, no rational pattern. Explicating the theory of chaos and the consequences of its principal findings  that actual, precise rules may govern such apparently random behavior  has been a major part of the work of Edward N. Lorenz. In The Essence of Chaos, Lorenz presents to the general reader the features of this "new science," with its farreaching implications for much of modern life, from weather prediction to philosophy, and he describes its considerable impact on emerging scientific fields. Unlike the phenomena dealt with in relativity theory and quantum mechanics, systems that are now described as "chaotic" can be observed without telescopes or microscopes. They range from the simplest happenings, such as the falling of a leaf, to the most complex processes, like the fluctuations of climate. Each process that qualifies, however, has certain quantifiable characteristics: how it unfolds depends very sensitively upon its present state, so that, even though it is not random, it seems to be. Lorenz uses examples from everyday life, and simple calculations, to show how the essential nature of chaotic systems can be understood. In order to expedite this task, he has constructed a mathematical model of a board sliding down a ski slope as his primary illustrative example. With this model as his base, he explains various chaotic phenomena, including some associated concepts such as strange attractors and bifurcations. As a meteorologist, Lorenz initially became interested in the field of chaos because of its implications for weather forecasting. In a chapter ranging through the history of weather prediction and meteorology to a brief picture of our current understanding of climate, he introduces many of the researchers who conceived the experiments and theories, and he describes his own initial encounter with chaos. A further discussion invites readers to make their own chaos. Still others debate the nature of randomness and its relationship to chaotic systems, and describe three related fields of scientific thought: nonlinearity, complexity, and fractality. Appendixes present the first publication of Lorenz's seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?"; the mathematical equations from which the copious illustrations were derived; and a glossary
The nature and theory of the general circulation of the atmosphere by
Edward N Lorenz(
Book
)
17 editions published between 1967 and 2009 in 3 languages and held by 286 WorldCat member libraries worldwide
17 editions published between 1967 and 2009 in 3 languages and held by 286 WorldCat member libraries worldwide
The atmosphere, a challenge : the science of Jule Gregory Charney by
Jule G Charney(
Book
)
7 editions published in 1990 in English and held by 93 WorldCat member libraries worldwide
7 editions published in 1990 in English and held by 93 WorldCat member libraries worldwide
Fractals : an animated discussion(
Visual
)
7 editions published between 1990 and 2003 in English and held by 41 WorldCat member libraries worldwide
The Mandelbrot set and the Lorenz attractor are turned into visible objects as their discoverers, Benoît Mandelbrot and Edward Lorenz, discuss the background history and details of their work
7 editions published between 1990 and 2003 in English and held by 41 WorldCat member libraries worldwide
The Mandelbrot set and the Lorenz attractor are turned into visible objects as their discoverers, Benoît Mandelbrot and Edward Lorenz, discuss the background history and details of their work
Chaos : the new science(
Visual
)
2 editions published between 1990 and 2015 in English and held by 33 WorldCat member libraries worldwide
Explores a revolutionary new science that is learning how to analyze, and derive benefit from, a universe of chaos. Through computers and new mathematics and physics, scientists are making surprising sense out of some very chaotic behavior in nature. In fact, many scientists now believe that turbulent processes like weather, waterfalls, and irregular heartbeats have a hidden and highlyordered structure, a reversal of Newton's longaccepted vision of a clockwork universe unfolding with perfect and always predictable precision
2 editions published between 1990 and 2015 in English and held by 33 WorldCat member libraries worldwide
Explores a revolutionary new science that is learning how to analyze, and derive benefit from, a universe of chaos. Through computers and new mathematics and physics, scientists are making surprising sense out of some very chaotic behavior in nature. In fact, many scientists now believe that turbulent processes like weather, waterfalls, and irregular heartbeats have a hidden and highlyordered structure, a reversal of Newton's longaccepted vision of a clockwork universe unfolding with perfect and always predictable precision
Empirical orthogonal functions and statistical weather prediction by
Statistical Forecasting Project (Massachusetts Institute of Technology)(
Book
)
4 editions published in 1956 in English and held by 32 WorldCat member libraries worldwide
A "statistical forecasting" formula may be established by determining, from a given sample of data, the linear combination of a set of predictors which forms the best approximation to a given predictand. The dynamical basis for prediction by such formulas is discussed. Statistical formulas have a greater probability of verifying well, when applied to new data, if the number of predictors is small, relative to the number of independent observations of each predictor. When the desired predictors consist of a continuous field of some physical quantity, the field may be analyzed into a sum of orthogonal functions of space ( Y's ), whose coefficients ( Q's ) are orthogonal functions of time. A small number of Q's with large variances may then be used as predictors. Empirical orthogonal functions ( Y's and Q's ) may also be determined when the data are heterogeneous. The procedure for determining Y's and Q's is routine, and has been programmed for automatic computation. The sealevel pressure field over the United States and southern Canada, as represented by observations at 64 stations, has been analyzed into Y's and Q's . Eight Y's and Q's specify 91 per cent of the variance of the pressure field. In predicting the pressure field from the pressure field on the previous day, nothing appears to be gained by using more than a small number of Q's as predictors or predictands. The possible use of empirical orthogonal functions in nonlinear statistical forecasting, and in dynamic forecasting, is discussed
4 editions published in 1956 in English and held by 32 WorldCat member libraries worldwide
A "statistical forecasting" formula may be established by determining, from a given sample of data, the linear combination of a set of predictors which forms the best approximation to a given predictand. The dynamical basis for prediction by such formulas is discussed. Statistical formulas have a greater probability of verifying well, when applied to new data, if the number of predictors is small, relative to the number of independent observations of each predictor. When the desired predictors consist of a continuous field of some physical quantity, the field may be analyzed into a sum of orthogonal functions of space ( Y's ), whose coefficients ( Q's ) are orthogonal functions of time. A small number of Q's with large variances may then be used as predictors. Empirical orthogonal functions ( Y's and Q's ) may also be determined when the data are heterogeneous. The procedure for determining Y's and Q's is routine, and has been programmed for automatic computation. The sealevel pressure field over the United States and southern Canada, as represented by observations at 64 stations, has been analyzed into Y's and Q's . Eight Y's and Q's specify 91 per cent of the variance of the pressure field. In predicting the pressure field from the pressure field on the previous day, nothing appears to be gained by using more than a small number of Q's as predictors or predictands. The possible use of empirical orthogonal functions in nonlinear statistical forecasting, and in dynamic forecasting, is discussed
Static stability and atmospheric energy by
Edward N Lorenz(
)
2 editions published in 1957 in English and held by 23 WorldCat member libraries worldwide
The process primarily responsible for the release of kinetic energy in the atmosphere, a rising of warmer air and a simultaneous sinking of colder air, also increases static stability. Gross static stability, a weighted integral of static stability, may be defined in such a way that reversible adiabatic processes have equal effects upon kinetic energy and gross static stability. Since there is a net dissipation of kinetic energy by friction, there is a net generation of kinetic energy by adiabatic processes, and hence a net increase of gross static stability by adiabatic processes, and hence a net decrease of gross static stability by nonadiabatic heating and cooling. Current estimates of frictional dissipation are consistent with a net nonadiabatic cooling of about 0.30 C per day near the tropopause. The increase of static stability accompanying the development of a disturbance causes an increase in dynamic stability, which tends to inhibit further growth of the disturbance. Simplified dynamic equations are developed, which properly describe the relations between total potential energy, kinetic energy, available potential energy, and gross static stability. These include three dimensional systems with the equation of balance or the geostrophic equation, and nlayer models. The twolayer model may be the simplest possible system with variable static stability. The simplistic equations appear to be especially suitable for theoretical studies of the general circulation and similar circulations
2 editions published in 1957 in English and held by 23 WorldCat member libraries worldwide
The process primarily responsible for the release of kinetic energy in the atmosphere, a rising of warmer air and a simultaneous sinking of colder air, also increases static stability. Gross static stability, a weighted integral of static stability, may be defined in such a way that reversible adiabatic processes have equal effects upon kinetic energy and gross static stability. Since there is a net dissipation of kinetic energy by friction, there is a net generation of kinetic energy by adiabatic processes, and hence a net increase of gross static stability by adiabatic processes, and hence a net decrease of gross static stability by nonadiabatic heating and cooling. Current estimates of frictional dissipation are consistent with a net nonadiabatic cooling of about 0.30 C per day near the tropopause. The increase of static stability accompanying the development of a disturbance causes an increase in dynamic stability, which tends to inhibit further growth of the disturbance. Simplified dynamic equations are developed, which properly describe the relations between total potential energy, kinetic energy, available potential energy, and gross static stability. These include three dimensional systems with the equation of balance or the geostrophic equation, and nlayer models. The twolayer model may be the simplest possible system with variable static stability. The simplistic equations appear to be especially suitable for theoretical studies of the general circulation and similar circulations
Computations of the balance of angular momentum and the poleward transport of heat by
Edward N Lorenz(
)
3 editions published in 1951 in English and held by 22 WorldCat member libraries worldwide
The geostrophic transports of angular momentum and sensible heat are investigated theoretically. At a given latitude and a given pressure level, the poleward geostrophic transport of angular momentum is found to be proportional to the square of the horizontal mass exchange across the given latitude, and a suitably defined average departure of the troughs and ridges at the given pressure level from a northsouth orientation. The poleward geostrophic transport of heat is found to be proportional to the square of the horizontal mass exchange, and a suitably defined average departure of the troughs and ridges at the given latitude from a vertical orientation. 'he analytic expressions for the geostrophic transports of angular momentum and heat suggest an ideal procedure for computing the transports from observational data. The various terms in the equation expressing the balance of angular momentum are computed from observational data, for the period 1 November 1945 through 28 February 1946, for various regions within the northern hemisphere. From these computations a diagram depicting the angular momentum balance in the northern hemisphere during this period is constructed. The computed northward transport of angular momentum is found to be consistent with the computed torque exerted on the atmosphere by the earth's surface, at most latitudes. A few modifications of the computed surface torque are suggested. Computed values of the northward transport of sensible heat are presented, for the period 1 November 1945 through 28 February 1946, across various latitudes in the northern hemisphere
3 editions published in 1951 in English and held by 22 WorldCat member libraries worldwide
The geostrophic transports of angular momentum and sensible heat are investigated theoretically. At a given latitude and a given pressure level, the poleward geostrophic transport of angular momentum is found to be proportional to the square of the horizontal mass exchange across the given latitude, and a suitably defined average departure of the troughs and ridges at the given pressure level from a northsouth orientation. The poleward geostrophic transport of heat is found to be proportional to the square of the horizontal mass exchange, and a suitably defined average departure of the troughs and ridges at the given latitude from a vertical orientation. 'he analytic expressions for the geostrophic transports of angular momentum and heat suggest an ideal procedure for computing the transports from observational data. The various terms in the equation expressing the balance of angular momentum are computed from observational data, for the period 1 November 1945 through 28 February 1946, for various regions within the northern hemisphere. From these computations a diagram depicting the angular momentum balance in the northern hemisphere during this period is constructed. The computed northward transport of angular momentum is found to be consistent with the computed torque exerted on the atmosphere by the earth's surface, at most latitudes. A few modifications of the computed surface torque are suggested. Computed values of the northward transport of sensible heat are presented, for the period 1 November 1945 through 28 February 1946, across various latitudes in the northern hemisphere
Nonlinear versus linear objective weather prediction. by
Edward N Lorenz(
)
2 editions published in 1958 in English and held by 22 WorldCat member libraries worldwide
2 editions published in 1958 in English and held by 22 WorldCat member libraries worldwide
Fraktale in Filmen und Gesprächen(
Visual
)
4 editions published in 1990 in German and Undetermined and held by 20 WorldCat member libraries worldwide
4 editions published in 1990 in German and Undetermined and held by 20 WorldCat member libraries worldwide
Preliminary studies of the eddy momentum flux evaluated from observed wind soundings by
Victor P Starr(
)
3 editions published in 1950 in English and held by 19 WorldCat member libraries worldwide
Pilot studies of the eddy transport of angular momentum based on rawin observations over the North American sector of the northern hemisphere are presented. The horizontal eddy transport of angular momentum in the meridional direction evaluated in this manner appears to be in harmony with general frictional requirements except that the transports are rather large. The desirability of much more extensive compilations of data concerning the subject is indicated. The vertical eddy transport of angular momentum is investigated by means of rawin soundings and it is found that a correlation between the zonal and vertical velocity components associated with eddies the size of cyclones is suggested which is in the right sense to account for a downward transport of angular momentum in middle latitudes. A statistical study of the selectivity of rawin observations has been undertaken and it is shown that rawin observations are biased in favor of weak winds at high levels. The effect of gradients in the crosscurrent eddy motions on the geostrophic balance is illustrated by means of an integrated model. It is suggested that gradients of the Reynolds stress associated with such eddy motions in the atmosphere and in the oceans may lead to sensible average geostrophic departures which appear as a normal inertial effect in eddying currents
3 editions published in 1950 in English and held by 19 WorldCat member libraries worldwide
Pilot studies of the eddy transport of angular momentum based on rawin observations over the North American sector of the northern hemisphere are presented. The horizontal eddy transport of angular momentum in the meridional direction evaluated in this manner appears to be in harmony with general frictional requirements except that the transports are rather large. The desirability of much more extensive compilations of data concerning the subject is indicated. The vertical eddy transport of angular momentum is investigated by means of rawin soundings and it is found that a correlation between the zonal and vertical velocity components associated with eddies the size of cyclones is suggested which is in the right sense to account for a downward transport of angular momentum in middle latitudes. A statistical study of the selectivity of rawin observations has been undertaken and it is shown that rawin observations are biased in favor of weak winds at high levels. The effect of gradients in the crosscurrent eddy motions on the geostrophic balance is illustrated by means of an integrated model. It is suggested that gradients of the Reynolds stress associated with such eddy motions in the atmosphere and in the oceans may lead to sensible average geostrophic departures which appear as a normal inertial effect in eddying currents
Physics of climate by
José Pinto Peixoto(
Book
)
6 editions published between 1992 and 1995 in English and held by 15 WorldCat member libraries worldwide
"Informative and authoritative on a remarkably wide range of topics"Nature
6 editions published between 1992 and 1995 in English and held by 15 WorldCat member libraries worldwide
"Informative and authoritative on a remarkably wide range of topics"Nature
Les papillons de Lorenz : le paysage non périodique déterminé du printemps : pour orchestre by
Tetsuji Emura(
)
1 edition published in 1999 and held by 15 WorldCat member libraries worldwide
1 edition published in 1999 and held by 15 WorldCat member libraries worldwide
Elegant chaos : algebraically simple chaotic flows by
Julien C Sprott(
Book
)
1 edition published in 2010 in English and held by 13 WorldCat member libraries worldwide
Includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler and many others, this book collects the mathematically simple systems of differential equations whose solutions are chaotic
1 edition published in 2010 in English and held by 13 WorldCat member libraries worldwide
Includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler and many others, this book collects the mathematically simple systems of differential equations whose solutions are chaotic
Prospects for statistical weather forecasting : final report: Statistical Forecasting Project by
Edward N Lorenz(
Book
)
3 editions published in 1959 in English and held by 12 WorldCat member libraries worldwide
3 editions published in 1959 in English and held by 12 WorldCat member libraries worldwide
Fraktale in Filmen und Gesprächen(
Book
)
1 edition published in 1990 in German and held by 8 WorldCat member libraries worldwide
1 edition published in 1990 in German and held by 8 WorldCat member libraries worldwide
Simplified dynamic equations and their use in the study of atmospheric predictability by
Edward N Lorenz(
Book
)
2 editions published in 1963 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1963 in English and held by 6 WorldCat member libraries worldwide
Jesus : a biography by
Edward N Lorenz(
Book
)
1 edition published in 1977 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1977 in English and held by 6 WorldCat member libraries worldwide
Nonlinearity, weather prediction, and climate deduction by
Edward N Lorenz(
Book
)
2 editions published in 1966 in English and held by 6 WorldCat member libraries worldwide
The equations governing the atmosphere are nonlinear. Weather prediction is identified with determining particular solutions of these equations, while climate deduction is identified with determining statistics of the general solution. The nonperiodicity gives rise to smallscale motions and nonperiodicity. The nonperiodicity makes analytic solution of the equations unfeasible. Particular solutions must therefore be determined numerically, and the smallscale motions cannot be properly included. The range at which accurate detailed forecasts can be produced is thus limited. The nonlinearity also prevents the derivation of closed systems of equations with statistics as unknowns. The statistics must therefore be estimated from particular numerical solutions, which are merely samples. Numerical methods are not required when only upper and lower bounds of the statistics are sought. The need for numerical methods when precise valves are desited is illustrated with a simple quadratic difference equation, while the process of establishing upper and lower bounds is illustrated with a simple partial differential equation. (Author)
2 editions published in 1966 in English and held by 6 WorldCat member libraries worldwide
The equations governing the atmosphere are nonlinear. Weather prediction is identified with determining particular solutions of these equations, while climate deduction is identified with determining statistics of the general solution. The nonperiodicity gives rise to smallscale motions and nonperiodicity. The nonperiodicity makes analytic solution of the equations unfeasible. Particular solutions must therefore be determined numerically, and the smallscale motions cannot be properly included. The range at which accurate detailed forecasts can be produced is thus limited. The nonlinearity also prevents the derivation of closed systems of equations with statistics as unknowns. The statistics must therefore be estimated from particular numerical solutions, which are merely samples. Numerical methods are not required when only upper and lower bounds of the statistics are sought. The need for numerical methods when precise valves are desited is illustrated with a simple quadratic difference equation, while the process of establishing upper and lower bounds is illustrated with a simple partial differential equation. (Author)
Fractals : an animated discussion ; interviews with E. Lorenz and B.B. Mandelbrot, animations, experiments(
Visual
)
2 editions published in 1990 in English and held by 5 WorldCat member libraries worldwide
Introduces two fundamental concepts of fractal geometry, selfsimilarity and chaos, and the two people who advanced these ideas, who talk about the background, history and prospects of fractal geometry. Includes animated computer graphics
2 editions published in 1990 in English and held by 5 WorldCat member libraries worldwide
Introduces two fundamental concepts of fractal geometry, selfsimilarity and chaos, and the two people who advanced these ideas, who talk about the background, history and prospects of fractal geometry. Includes animated computer graphics
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Related Identities
 World Meteorological Organization Other
 Mandelbrot, Benoit B. Interviewee Contributor
 Peitgen, HeinzOtto 1945 Interviewer Editor
 Massachusetts Institute of Technology Department of Meteorology
 Charney, Jule G. Honoree Author
 Lindzen, Richard S. Author Editor
 Platzman, George W. Editor
 American Meteorological Society
 Massachusetts Institute of Technology General Circulation Project
 Air Force Cambridge Research Laboratories (U.S.). Geophysics Research Directorate
Useful Links
Associated Subjects
Adiabatic demagnetization Angular momentum Atmospheric circulation Atmospheric circulationMathematical models Atmospheric physics Chaotic behavior in systems Chaotic behavior in systemsMathematics Charney, Jule G Climatic changes Climatology ClimatologyResearch Clouds Defant, Albert, Dynamic meteorology Eddy flux Emura, Tetsuji, Ertel, Hans, Flows (Differentiable dynamical systems) Fractals International Association of Meteorology and Atmospheric Physics Jesus Christ Krick, Irving P.(Irving Parkhurst), Lorenz, Edward N Lorenz equations Lyapunov exponents Mandelbrot, Benoit B Mathematics MathematicsStudy and teachingAudiovisual aids Meteorology MeteorologyInternational cooperation MeteorologyMathematical models Microtonal music Music National Center for Atmospheric Research (U.S.) Nonlinear theories Numerical weather forecasting Orchestral musicScores Phillips, Norman A., Physical sciences Physics Quantum chaos RadiationMeasurement Satellites Smagorinsky, J.(Joseph) Starr, Victor P Statistical weather forecasting Thompson, Philip Duncan Universität Hamburg University of California, Los Angeles Weather forecasting
Covers
Alternative Names
Eduardus Norton Lorenz
Edvard Norton Lorenz
Edward Lorenz
Edward Lorenz Amerikaans wiskundige
Edward Lorenz amerikansk matematikar
Edward Lorenz amerikansk matematiker
Edward Lorenz matematyk amerykański
Edward Lorenz mathématicien américain
Edward N. Lorenz USamerikanischer Meteorologe
Edward Norton Lorenz American mathematician and meteorologist
Edward Norton Lorenz amerikansk matematiker
Edward Norton Lorenz matematico statunitense
Lorenc, È. N.
Lorenz, E. 19172008
Lorenz, E. N.
Lorenz, Ed 19172008
Lorenz, Edward.
Lorenz Edward 19172008
Lorenz, Edward N.
Lorenz, Edward N. 19172008
Lorenz, Edward Norton
Lorenz Edward Norton 19172008
Едвард Лоренц
Едвард Лоренц американський математик
Едуард Нортън Лоренц
Лоренц Э.
Лоренц, Эдвард Нортон
אדוארד לורנץ
ادوارد لورنتس ریاضیدان آمریکایی
إدوارد نورتون لورنتز
로렌츠, 에드워드 19172008
로렌츠, 에드워드 N. 19172008
에드워드 로렌츠
エドワード・ローレンツ
ローレンツ
愛德華·諾頓·勞侖次
洛伦茨, E.N.
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