Split-complex number
In abstract algebra, a split complex number (or hyperbolic number, also perplex number, double number) has two real number components x and y, and is written z = x + y j, where j2 = 1. The conjugate of z is z∗ = x − y j. Since j2 = 1, the product of a number z with its conjugate is zz∗ = x2 − y2, an isotropic quadratic form, N(z) = x2 − y2. A similar algebra based on R2 and component-wise operations of addition and multiplication, (R2, +, ×, xy), where xy is the quadratic form on R2, also forms a quadratic space. The ring isomorphism
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Split-complex number
In abstract algebra, a split complex number (or hyperbolic number, also perplex number, double number) has two real number components x and y, and is written z = x + y j, where j2 = 1. The conjugate of z is z∗ = x − y j. Since j2 = 1, the product of a number z with its conjugate is zz∗ = x2 − y2, an isotropic quadratic form, N(z) = x2 − y2. A similar algebra based on R2 and component-wise operations of addition and multiplication, (R2, +, ×, xy), where xy is the quadratic form on R2, also forms a quadratic space. The ring isomorphism
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Die anormal-komplexen Zahlen s ...... ich −1, sondern gleich +1 ist.
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Dvojná čísla jsou dvourozměrná ...... takové číslo, které splňuje .
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En mathématiques, les nombres ...... s la signature déployée (1,1).
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En álgebra abstracta, se defin ...... úmeros complejos hiperbólicos.
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In abstract algebra, a split c ...... ons of a split-complex number.
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In matematica, i numeri comple ...... no della relatività ristretta.
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Liczby podwójne – wyrażenia po ...... pnia drugiego: w szczególności
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Na matemática, os números comp ...... a seção dos sinônimos abaixo.
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Двойны́е чи́сла, или паракомпл ...... твенные числа и причём j ≠ ±1.
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Подвійні числа (спліт-комплекс ...... плексними й дуальними числами.
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Die anormal-komplexen Zahlen s ...... ich −1, sondern gleich +1 ist.
@de
Dvojná čísla jsou dvourozměrná ...... takové číslo, které splňuje .
@cs
En mathématiques, les nombres ...... tion des synonymes ci-dessous.
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En álgebra abstracta, se defin ...... co. El homomorfismo de anillos
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In abstract algebra, a split c ...... ic space. The ring isomorphism
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In matematica, i numeri comple ...... campo, ma solamente un anello.
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Liczby podwójne – wyrażenia po ...... je odwrotność: w szczególności
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Na matemática, os números comp ...... drada) de Minkowski (x2 − y²).
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Двойны́е чи́сла, или паракомпл ...... твенные числа и причём j ≠ ±1.
@ru
Подвійні числа (спліт-комплекс ...... плексними й дуальними числами.
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label
Anormal-komplexe Zahl
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Dvojné číslo (matematika)
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Liczby podwójne
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Nombre complexe déployé
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Numero complesso iperbolico
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Número complejo hiperbólico
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Número complexo hiperbólico
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Split-complex number
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Двойные числа
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Подвійні числа
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