Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Imaginary_unit> ?p ?o }
- Imaginary_unit abstract "The term imaginary unit or unit imaginary number refers to a solution to the equation x2 = -1. By convention, the solution is usually denoted i. Since there is no real number with this property, it extends the real numbers, and under the assumption that the familiar properties of addition and multiplication (namely closure, associativity, commutativity and distributivity) continue to hold for this extension, the complex numbers are generated by including it.Imaginary numbers are an important mathematical concept, which extends the real number system ℝ to the complex number system ℂ, which in turn provides at least one root for every nonconstant polynomial P(x). (See Algebraic closure and Fundamental theorem of algebra.) The term "imaginary" is used because there is no real number having a negative square.There are two complex square roots of −1, namely i and −i, just as there are two complex square roots of every real number other than zero, which has one double square root.In contexts where i is ambiguous or problematic, j or the Greek ι is sometimes used (see § Alternative notations). In the disciplines of electrical engineering and control systems engineering, the imaginary unit is often denoted by j instead of i, because i is commonly used to denote electric current.For the history of the imaginary unit, see Complex number § History.".
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- Imaginary_unit wikiPageWikiLink 0_(number).
- Imaginary_unit wikiPageWikiLink 2_×_2_real_matrices.
- Imaginary_unit wikiPageWikiLink Absolute_value.
- Imaginary_unit wikiPageWikiLink Addition.
- Imaginary_unit wikiPageWikiLink Additive_inverse.
- Imaginary_unit wikiPageWikiLink Algebraic_closure.
- Imaginary_unit wikiPageWikiLink Argument_(complex_analysis).
- Imaginary_unit wikiPageWikiLink Associative_property.
- Imaginary_unit wikiPageWikiLink Associativity.
- Imaginary_unit wikiPageWikiLink Automorphism.
- Imaginary_unit wikiPageWikiLink Automorphism_group.
- Imaginary_unit wikiPageWikiLink Biquaternion.
- Imaginary_unit wikiPageWikiLink Bivector_(complex).
- Imaginary_unit wikiPageWikiLink Branch_point.
- Imaginary_unit wikiPageWikiLink Cartesian_coordinate_system.
- Imaginary_unit wikiPageWikiLink Cartesian_plane.
- Imaginary_unit wikiPageWikiLink Category:Algebraic_numbers.
- Imaginary_unit wikiPageWikiLink Category:Complex_numbers.
- Imaginary_unit wikiPageWikiLink Category:Mathematical_constants.
- Imaginary_unit wikiPageWikiLink Circle_group.
- Imaginary_unit wikiPageWikiLink Closure_(mathematics).
- Imaginary_unit wikiPageWikiLink Commutative_property.
- Imaginary_unit wikiPageWikiLink Commutativity.
- Imaginary_unit wikiPageWikiLink Complex-valued_function.
- Imaginary_unit wikiPageWikiLink Complex_conjugate.
- Imaginary_unit wikiPageWikiLink Complex_function.
- Imaginary_unit wikiPageWikiLink Complex_logarithm.
- Imaginary_unit wikiPageWikiLink Complex_number.
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- Imaginary_unit wikiPageWikiLink Control_engineering.
- Imaginary_unit wikiPageWikiLink Control_systems_engineering.
- Imaginary_unit wikiPageWikiLink Current_(electricity).
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- Imaginary_unit wikiPageWikiLink Distributivity.
- Imaginary_unit wikiPageWikiLink Electric_current.
- Imaginary_unit wikiPageWikiLink Electrical_engineering.
- Imaginary_unit wikiPageWikiLink Eulers_formula.
- Imaginary_unit wikiPageWikiLink Factorial.
- Imaginary_unit wikiPageWikiLink Field_(algebra).
- Imaginary_unit wikiPageWikiLink Field_(mathematics).
- Imaginary_unit wikiPageWikiLink Fundamental_theorem_of_algebra.
- Imaginary_unit wikiPageWikiLink Galois_group.
- Imaginary_unit wikiPageWikiLink Gamma_function.
- Imaginary_unit wikiPageWikiLink Identity_matrix.
- Imaginary_unit wikiPageWikiLink Imaginary-base_logarithm.
- Imaginary_unit wikiPageWikiLink Imaginary_number.
- Imaginary_unit wikiPageWikiLink Integer.
- Imaginary_unit wikiPageWikiLink Iota.
- Imaginary_unit wikiPageWikiLink Isomorphism.
- Imaginary_unit wikiPageWikiLink MATLAB.
- Imaginary_unit wikiPageWikiLink Mathematics.
- Imaginary_unit wikiPageWikiLink Matrix_(mathematics).
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- Imaginary_unit wikiPageWikiLink Multi-valued_function.
- Imaginary_unit wikiPageWikiLink Multiple_root.
- Imaginary_unit wikiPageWikiLink Multiplication.
- Imaginary_unit wikiPageWikiLink Multiplicative_inverse.
- Imaginary_unit wikiPageWikiLink Multiplicity_(mathematics).
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- Imaginary_unit wikiPageWikiLink Orthogonal_group.
- Imaginary_unit wikiPageWikiLink Polar_form.
- Imaginary_unit wikiPageWikiLink Polynomial.
- Imaginary_unit wikiPageWikiLink Principal_value.
- Imaginary_unit wikiPageWikiLink Python_(programming_language).
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- Imaginary_unit wikiPageWikiLink Quadratic_polynomial.
- Imaginary_unit wikiPageWikiLink Quaternion.
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- Imaginary_unit wikiPageWikiLink Riemann_surface.
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- Imaginary_unit wikiPageWikiLink Root_of_unity.
- Imaginary_unit wikiPageWikiLink Square_(algebra).
- Imaginary_unit wikiPageWikiLink Square_root.
- Imaginary_unit wikiPageWikiLink Unique.
- Imaginary_unit wikiPageWikiLink Uniqueness_quantification.
- Imaginary_unit wikiPageWikiLink Unit_circle.
- Imaginary_unit wikiPageWikiLink Unit_complex_number.
- Imaginary_unit wikiPageWikiLink Up_to.
- Imaginary_unit wikiPageWikiLink Well-defined.
- Imaginary_unit wikiPageWikiLink Zero.
- Imaginary_unit wikiPageWikiLink Zero_of_a_function.
- Imaginary_unit wikiPageWikiLink File:Imaginary2Root.svg.
- Imaginary_unit wikiPageWikiLink File:ImaginaryUnit5.svg.
- Imaginary_unit wikiPageWikiLinkText "".
- Imaginary_unit wikiPageWikiLinkText "𝐢".
- Imaginary_unit wikiPageWikiLinkText "''i''".
- Imaginary_unit wikiPageWikiLinkText "Imaginary unit".
- Imaginary_unit wikiPageWikiLinkText "Imaginary unit#and_.E2.88.92i".
- Imaginary_unit wikiPageWikiLinkText "Imaginary unit#i raised to the power of i".
- Imaginary_unit wikiPageWikiLinkText "Square root of minus one".