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Maxwell's equations can directly give inhomogeneous wave equations for the electric field E and magnetic field B. [1] Substituting Gauss's law for electricity and Ampère's law into the curl of Faraday's law of induction, and using the curl of the curl identity ∇ × (∇ × X) = ∇(∇ ⋅ X) − ∇ 2 X (The last term in the right side is the vector Laplacian, not Laplacian applied on ...
Maple is a symbolic and numeric computing environment as well as a multi-paradigm programming language.It covers several areas of technical computing, such as symbolic mathematics, numerical analysis, data processing, visualization, and others.
Felix Klein () and Henri Poincaré () conjectured the uniformization theorem for (the Riemann surfaces of) algebraic curves.Henri Poincaré () extended this to arbitrary multivalued analytic functions and gave informal arguments in its favor.
MIT students use a combination of the department's course number and the number assigned to the class to identify their subjects; for instance, the introductory calculus-based classical mechanics course is simply "8.01" (pronounced eight-oh-one) at MIT. [183] [c]
Gottfried Wilhelm Leibniz (or Leibnitz; [a] 1 July 1646 [O.S. 21 June] – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to many other branches of mathematics, such as binary arithmetic and statistics.
During this period there was little distinction between physics and mathematics; [18] as an example, Newton regarded geometry as a branch of mechanics. [19] Non-Euclidean geometry, as formulated by Carl Friedrich Gauss, János Bolyai, Nikolai Lobachevsky, and Bernhard Riemann, freed physics from the limitation of a single Euclidean geometry. [20]
Unconventional computing (also known as alternative computing or nonstandard computation) is computing by any of a wide range of new or unusual methods.. The term unconventional computation was coined by Cristian S. Calude and John Casti and used at the First International Conference on Unconventional Models of Computation [1] in 1998.
The physics department said it was too philosophical, and Bruno Bauch of the philosophy department said it was pure physics. Carnap then wrote another thesis in 1921, under Bauch's supervision, [4] on the theory of space in a more orthodox Kantian style, and published as Der Raum (Space) in a supplemental issue of Kant-Studien (1922).