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D'Alembert (other)
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d'Alembert may refer to: * Jean le Rond d'Alembert ** the d'Alembert operator, named after the former ** d'Alembert's principle, also named after the above ** d'Alembert's equation, also named after the above ** d'Alembert's formula, also named after the above ** d'Alembert's theorem, another name for the fundamental theorem of algebra, also named after the above. ** a d'Alembert (crater), also named after the above * Family D'Alembert, a series of science fiction novels See also *Jean Baptiste Joseph Delambre Jean Baptiste Joseph, chevalier Delambre (19 September 1749 – 19 August 1822) was a French mathematician, astronomer, historian of astronomy, and geodesist. He was also director of the Paris Observatory, and author of well-known books on the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean Le Rond D'Alembert
Jean-Baptiste le Rond d'Alembert ( ; ; 16 November 1717 – 29 October 1783) was a French mathematician, mechanician, physicist, philosopher, and music theorist. Until 1759 he was, together with Denis Diderot, a co-editor of the ''Encyclopédie''. D'Alembert's formula for obtaining solutions to the wave equation is named after him. The wave equation is sometimes referred to as d'Alembert's equation, and the fundamental theorem of algebra is named after d'Alembert in French. Early years Born in Paris, d'Alembert was the natural son of the writer Claudine Guérin de Tencin and the chevalier Louis-Camus Destouches, an artillery officer. Destouches was abroad at the time of d'Alembert's birth. Days after birth his mother left him on the steps of the church. According to custom, he was named after the patron saint of the church. D'Alembert was placed in an orphanage for foundling children, but his father found him and placed him with the wife of a glazier, Madame Rousseau ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
D'Alembert Operator
In special relativity, electromagnetism and wave theory, the d'Alembert operator (denoted by a box: \Box), also called the d'Alembertian, wave operator, box operator or sometimes quabla operator (''cf''. nabla symbol) is the Laplace operator of Minkowski space. The operator is named after French mathematician and physicist Jean le Rond d'Alembert. In Minkowski space, in standard coordinates , it has the form : \begin \Box & = \partial^\mu \partial_\mu = \eta^ \partial_\nu \partial_\mu = \frac \frac - \frac - \frac - \frac \\ & = \frac - \nabla^2 = \frac - \Delta ~~. \end Here \nabla^2 := \Delta is the 3-dimensional Laplacian and is the inverse Minkowski metric with :\eta_ = 1, \eta_ = \eta_ = \eta_ = -1, \eta_ = 0 for \mu \neq \nu. Note that the and summation indices range from 0 to 3: see Einstein notation. (Some authors alternatively use the negative metric signature of , with \eta_ = -1,\; \eta_ = \eta_ = \eta_ = 1.) Lorentz transformations leave the Mi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
D'Alembert's Principle (novel)
''D'Alembert's Principle'' (Dedalus Books, 1996) is a novel by Andrew Crumey, and the second in a sequence of three set wholly or partly in the eighteenth century (the others being Pfitz and Mr Mee). It is in three sections, subtitled "Memory, Reason and Imagination". The U.S. edition was subtitled "A novel in three panels". It has been translated into French, German, Dutch, Spanish, Greek, Russian, Italian, Turkish and Romanian. It prompted ''El Mundo'' (Spain) to say "Crumey is one of the most interesting and original European authors of recent years." The first section, recursively titled "D'Alembert's Principle", is a historical fiction depicting Jean le Rond D'Alembert, featuring his unrequited love for Julie de l'Espinasse, and describing the principle of physics named after him. The second section, "The Cosmography of Magnus Ferguson" is a speculative fiction about interplanetary travel by an eighteenth-century Scotsman. The third section, "Tales from Rreinnstadt", is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
D'Alembert's Equation
In mathematics, d'Alembert's equation, sometimes also known as Lagrange's equation, is a first order nonlinear ordinary differential equation, named after the French mathematician Jean le Rond d'Alembert Jean-Baptiste le Rond d'Alembert ( ; ; 16 November 1717 – 29 October 1783) was a French mathematician, mechanician, physicist, philosopher, and music theorist. Until 1759 he was, together with Denis Diderot, a co-editor of the ''Encyclopé .... The equation reads asDavis, Harold Thayer. Introduction to nonlinear differential and integral equations. Courier Corporation, 1962. :y = x f\left( \frac \right) + g\left( \frac\right). After differentiating once, and rearranging with p=dy/dx, we have :\frac + \frac=0 The above equation is linear. When f(p)=p, d'Alembert's equation is reduced to Clairaut's equation. References Eponymous equations of physics Mathematical physics Ordinary differential equations {{Mathanalysis-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
D'Alembert's Formula
In mathematics, and specifically partial differential equations (PDEs), d´Alembert's formula is the general solution to the one-dimensional wave equation: :u_-c^2u_=0,\, u(x,0)=g(x),\, u_t(x,0)=h(x), for -\infty < x<\infty,\,\, t>0 It is named after the mathematician , who derived it in 1747 as a solution to the problem of a vibrating string. Details The characteristics of the PDE are (where sign states the two solutions to quadratic equation), so we can use the change of variables (for the positive so ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
D'Alembert's Theorem
The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non- constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with its imaginary part equal to zero. Equivalently (by definition), the theorem states that the field of complex numbers is algebraically closed. The theorem is also stated as follows: every non-zero, single-variable, degree ''n'' polynomial with complex coefficients has, counted with multiplicity, exactly ''n'' complex roots. The equivalence of the two statements can be proven through the use of successive polynomial division. Despite its name, it is not fundamental for modern algebra; it was named when algebra was synonymous with the theory of equations. History , in his book ''Arithmetica Philosophica'' (published in 1608, at Nürnberg, by Johann Lantzenberger), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fundamental Theorem Of Algebra
The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant polynomial, constant single-variable polynomial with Complex number, complex coefficients has at least one complex Zero of a function, root. This includes polynomials with real coefficients, since every real number is a complex number with its imaginary part equal to zero. Equivalently (by definition), the theorem states that the field (mathematics), field of complex numbers is Algebraically closed field, algebraically closed. The theorem is also stated as follows: every non-zero, single-variable, Degree of a polynomial, degree ''n'' polynomial with complex coefficients has, counted with Multiplicity (mathematics)#Multiplicity of a root of a polynomial, multiplicity, exactly ''n'' complex roots. The equivalence of the two statements can be proven through the use of successive polynomial division. Despite its name, it is not fundamental for modern ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
D'Alembert (crater)
d'Alembert is a large lunar impact crater located in the northern hemisphere on the far side of the Moon, to the northeast of the somewhat smaller walled plain Campbell. Astride the southwest rim of d'Alembert is Slipher. To the north is the crater Yamamoto, and to the south-southwest lies Langevin. This walled plain has the same diameter as Clavius on the near side, making it one of the largest such formations on the Moon. As with many lunar walled plains of comparable dimensions, the outer rim of this formation has been worn and battered by subsequent impacts. Besides Slipher, the most notable of these craters is d'Alembert Z intruding into the northern rim. There is also a small crater on the northwest inner wall that has a wide cleft in its eastern side, and a smaller crater along the southeastern inner wall. As eroded as the rim may be, its form can still be readily discerned as a roughly circular ridge line in the lunar terrain. The interior floor of d'Alembert is a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Family D'Alembert
The Family D'Alembert series is a set of science fiction novels by Stephen Goldin Stephen Charles Goldin (born February 28, 1947) is an American science fiction and fantasy author. Biography Goldin was born in Philadelphia, Pennsylvania. A graduate of UCLA with a bachelor's degree in Astronomy, he worked for the U.S. Navy a ..., the first of which was expanded from the 1964 novella ''The Imperial Stars'' by E. E. "Doc" Smith. The series later served as the basis for Goldin's series Agents of ISIS. Plot Jules and Yvette D'Alembert are a brother and sister team of aerialists in the D'Alembert family ''Circus of the Empire'' and also work as agents in SOTE, "The Service of The Empire", the imperial intelligence agency. Series The series comprises the following books: # '' Imperial Stars'' (1976) # '' Stranglers' Moon'' (1976) # ''The Clockwork Traitor'' (1976) # ''Getaway World'' (1977) # ''Appointment at Bloodstar'', also known as The Bloodstar Conspiracy (1978) # ''The Puri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
