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Display information for equation id:math.219374.42 on revision:219374

* Page found: Euler's formula (eq math.219374.42)

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Occurrences on the following pages:

Hash: dbc4982883ea6922c7c794cfdd611ac9

TeX (original user input):

e ^{ix}

TeX (checked):

e^{ix}

LaTeXML (experimental; uses MathML) rendering

MathML (1.262 KB / 428 B) :

e i x superscript 𝑒 𝑖 𝑥 {\displaystyle e^{{ix}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle e^{{ix}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <msup id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">e</mi>
      <mrow id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">
        <mi id="p1.1.m1.1.2.1.1" xref="p1.1.m1.1.2.1.1.cmml">i</mi>
        <mo id="p1.1.m1.1.2.1.3" xref="p1.1.m1.1.2.1.3.cmml"></mo>
        <mi id="p1.1.m1.1.2.1.2" xref="p1.1.m1.1.2.1.2.cmml">x</mi>
      </mrow>
    </msup>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
        <csymbol cd="ambiguous" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3">superscript</csymbol>
        <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑒</ci>
        <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">
          <times id="p1.1.m1.1.2.1.3.cmml" xref="p1.1.m1.1.2.1.3"/>
          <ci id="p1.1.m1.1.2.1.1.cmml" xref="p1.1.m1.1.2.1.1">𝑖</ci>
          <ci id="p1.1.m1.1.2.1.2.cmml" xref="p1.1.m1.1.2.1.2">𝑥</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle e^{{ix}}}</annotation>
  </semantics>
</math>

SVG (2.736 KB / 1.287 KB) :

e Superscript i times x

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

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SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple: (e)^(i*x)

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: (e)^(i*x)

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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