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bicom

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There are 5 letters in BICOM ( B3C3I1M3O1 )

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Scrabble results that can be created with an extra letter added to BICOM

BROMIC

4 letters out of BICOM

COMB

3 letters out of BICOM

BIOCOBMIBMICMOBMOCOBI

2 letters out of BICOM

BIBOMIMOOIOM

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Bicom might refer to
Bicom might be related to
In abstract algebra, a bicomplex number is a pair (w, z) of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate
*
*
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* (
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* z
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* )
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* ∗
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* =
* (
* w
* ,
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* {\displaystyle (w,z)^{*}=(w,-z)}
* , and the product of two bicomplex numbers as
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* (
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* (
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* u
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* −
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* v
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* .
*
*
* {\displaystyle (u,v)(w,z)=(uw-vz,uz+vw).}
* Then the bicomplex norm is given by
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* ∗
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* {\displaystyle (w,z)^{*}(w,z)=(w,-z)(w,z)=(w^{2}+z^{2},0),}
* a quadratic form in the first component.The bicomplex numbers form a commutative algebra over C of dimension two, which is isomorphic to the direct sum of algebras C ⊕ C.
* The product of two bicomplex numbers yields a quadratic form value that is the product of the individual quadratic forms of the numbers:
* a verification of this property of the quadratic form of a product refers to the Brahmagupta–Fibonacci identity. This property of the quadratic form of a bicomplex number indicates that these numbers form a composition algebra. In fact, bicomplex numbers arise at the binarion level of the Cayley–Dickson construction based on ℂ with form z2 at the unarion level.
* The general bicomplex number can be represented by the matrix
*
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* i
* z
*
*
*
*
* i
* z
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* w
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* {\displaystyle {\begin{pmatrix}w&iz\\iz&w\end{pmatrix}}}
* , which has determinant
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*
*
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* w
*
* 2
*
*
* +
*
* z
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* 2
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* {\displaystyle w^{2}+z^{2}}
* . Thus, the composing property of the quadratic form concurs with the composing property of the determinant.
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