Definition of Bicomplex. Meaning of Bicomplex. Synonyms of Bicomplex

Here you will find one or more explanations in English for the word Bicomplex. Also in the bottom left of the page several parts of wikipedia pages related to the word Bicomplex and, of course, Bicomplex synonyms and on the right images related to the word Bicomplex.

Definition of Bicomplex

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Meaning of Bicomplex from wikipedia

- abstract algebra, a bicomplex number is a pair (w, z) of complex numbers constructed by the Cayley–****son process that defines the bicomplex conjugate (w,z)∗=(w...
- the bicomplex have a Z×Z{\displaystyle \mathbb {Z} \times \mathbb {Z} }-grading. The most general definition of a double complex, or a bicomplex, is given...
- bundles is globally formulated in algebraic terms of the variational bicomplex, without appealing to the calculus of variations. For instance, this is...
- variational bicomplex of the differential graded algebra O∗∞(Y) of exterior forms on jet manifolds of Y → X. The coboundary operator of this bicomplex contains...
- dynamic equations such as the Ginzburg–Landau equation, or by use of a bicomplex variable. A vortex street forms only at a certain range of flow velocities...
- numbers (considered as algebras over the reals) leads to four-dimensional bicomplex numbers C⊗RC{\displaystyle \mathbb {C} \otimes _{\mathbb {R} }\mathbb...
- trivial involution to begin the Cayley–****son constructions leading to bicomplex, biquaternion, and bioctonion composition algebras. On complex numbers...
- possible to construct Mandelbrot sets in 4 dimensions using quaternions and bicomplex numbers. White and Nylander's formula for the "nth power" of the vector...
- biquaternions forms a composition algebra and can be constructed from bicomplex numbers. See § As a composition algebra below. Note that the matrix product...
- the complex number system, C 2 {\displaystyle \mathbb {C} _{2}} is the bicomplex number system, C 3 {\displaystyle \mathbb {C} _{3}} is the tricomplex...