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Display information for equation id:math.246520.5 on revision:246520

* Page found: Frobenius theorem (real division algebras) (eq math.246520.5)

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Hash: 6e078306432b62783ec8543986ecb68a

TeX (original user input):

e_1^2 = e_2^2 =-1, \quad e_1 e_2 = - e_2 e_1, \quad (e_1 e_2)(e_1 e_2) =-1.

TeX (checked):

e_{1}^{2}=e_{2}^{2}=-1,\quad e_{1}e_{2}=-e_{2}e_{1},\quad (e_{1}e_{2})(e_{1}e_{2})=-1.

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SVG (10.085 KB / 2.289 KB) :

e 1 squared equals e 2 squared equals negative 1 comma e 1 times e 2 equals minus e 2 times e 1 comma left-parenthesis e 1 times e 2 right-parenthesis times left-parenthesis e 1 times e 2 right-parenthesis equals negative 1 period

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Translations to Computer Algebra Systems

Translation to Maple

In Maple: (e[1])^(2)= (e[2])^(2)= - 1 , e[1]*e[2]= - e[2]*e[1],(e[1]*e[2])*(e[1]*e[2])= - 1

Information about the conversion process:

e: the mathematical constant e == Napier's constant == 2.71828182845... was translated to: e

exp(1): You use a typical letter for a constant [the mathematical constant e == Napier's constant == 2.71828182845...].

We keep it like it is! But you should know that Maple uses exp(1) for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \expe



Translation to Mathematica

In Mathematica: (Subscript[e, 1])^(2)= (Subscript[e, 2])^(2)= - 1 , Subscript[e, 1]*Subscript[e, 2]= - Subscript[e, 2]*Subscript[e, 1],(Subscript[e, 1]*Subscript[e, 2])*(Subscript[e, 1]*Subscript[e, 2])= - 1

Information about the conversion process:

E: You use a typical letter for a constant [the mathematical constant e == Napier's constant == 2.71828182845...].

We keep it like it is! But you should know that Mathematica uses E for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \expe


e: the mathematical constant e == Napier's constant == 2.71828182845... was translated to: e


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