Jump to navigation Jump to search

General

Display information for equation id:math.238504.6 on revision:238504

* Page found: Free regular set (eq math.238504.6)

(force rerendering)

Occurrences on the following pages:

Hash: 539ddf0660cafdf04413a3b1f14945c1

TeX (original user input):

\Omega(\Gamma)=\{\tau\in H: |\tau|>1 , |\tau +\overline\tau| <1\}

TeX (checked):

\Omega (\Gamma )=\{\tau \in H:|\tau |>1,|\tau +{\overline {\tau }}|<1\}

LaTeXML (experimental; uses MathML) rendering

MathML (5.896 KB / 1.112 KB) :

Ω ( Γ ) = { τ H : | τ | > 1 , | τ + τ ¯ | < 1 } Ω Γ conditional-set 𝜏 𝐻 formulae-sequence 𝜏 1 𝜏 ¯ 𝜏 1 {\displaystyle\Omega(\Gamma)=\{\tau\in H:|\tau|>1,|\tau+{\overline{\tau}}|<1\}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\Omega(\Gamma)=\{\tau\in H:|\tau|&gt;1,|\tau+{\overline{\tau}}|&lt;1\}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">
      <mrow id="p1.1.m1.1.25.1" xref="p1.1.m1.1.25.1.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">Ω</mi>
        <mo id="p1.1.m1.1.25.1.1" xref="p1.1.m1.1.25.1.1.cmml"></mo>
        <mrow id="p1.1.m1.1.25.1.2" xref="p1.1.m1.1.25.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.25.1.cmml">(</mo>
          <mi mathvariant="normal" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">Γ</mi>
          <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.25.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">=</mo>
      <mrow id="p1.1.m1.1.25.2" xref="p1.1.m1.1.25.2.1.cmml">
        <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.25.2.1.1.cmml">{</mo>
        <mrow id="p1.1.m1.1.25.2.2" xref="p1.1.m1.1.25.2.2.cmml">
          <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">τ</mi>
          <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml"></mo>
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">H</mi>
        </mrow>
        <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.25.2.1.1.cmml">:</mo>
        <mrow id="p1.1.m1.1.25.2.3" xref="p1.1.m1.1.25.2.3.1.cmml">
          <mrow id="p1.1.m1.1.25.2.3.2" xref="p1.1.m1.1.25.2.3.2.cmml">
            <mrow id="p1.1.m1.1.25.2.3.2.1" xref="p1.1.m1.1.25.2.3.2.1.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.25.2.3.2.1.1.1.cmml">|</mo>
              <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">τ</mi>
              <mo stretchy="false" id="p1.1.m1.1.13" xref="p1.1.m1.1.25.2.3.2.1.1.1.cmml">|</mo>
            </mrow>
            <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">&gt;</mo>
            <mn id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">1</mn>
          </mrow>
          <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.25.2.3.1a.cmml">,</mo>
          <mrow id="p1.1.m1.1.25.2.3.3" xref="p1.1.m1.1.25.2.3.3.cmml">
            <mrow id="p1.1.m1.1.25.2.3.3.1" xref="p1.1.m1.1.25.2.3.3.1.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.17" xref="p1.1.m1.1.25.2.3.3.1.1.1.cmml">|</mo>
              <mrow id="p1.1.m1.1.25.2.3.3.1.2" xref="p1.1.m1.1.25.2.3.3.1.2.cmml">
                <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">τ</mi>
                <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">+</mo>
                <mover accent="true" id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
                  <mi id="p1.1.m1.1.20.2" xref="p1.1.m1.1.20.2.cmml">τ</mi>
                  <mo id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">¯</mo>
                </mover>
              </mrow>
              <mo stretchy="false" id="p1.1.m1.1.21" xref="p1.1.m1.1.25.2.3.3.1.1.1.cmml">|</mo>
            </mrow>
            <mo id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">&lt;</mo>
            <mn id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">1</mn>
          </mrow>
        </mrow>
        <mo stretchy="false" id="p1.1.m1.1.24" xref="p1.1.m1.1.25.2.1.1.cmml">}</mo>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">
        <eq id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
        <apply id="p1.1.m1.1.25.1.cmml" xref="p1.1.m1.1.25.1">
          <times id="p1.1.m1.1.25.1.1.cmml" xref="p1.1.m1.1.25.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">Ω</ci>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">Γ</ci>
        </apply>
        <apply id="p1.1.m1.1.25.2.1.cmml" xref="p1.1.m1.1.25.2">
          <csymbol cd="latexml" id="p1.1.m1.1.25.2.1.1.cmml" xref="p1.1.m1.1.6">conditional-set</csymbol>
          <apply id="p1.1.m1.1.25.2.2.cmml" xref="p1.1.m1.1.25.2.2">
            <in id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝜏</ci>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝐻</ci>
          </apply>
          <apply id="p1.1.m1.1.25.2.3.1.cmml" xref="p1.1.m1.1.25.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.25.2.3.1a.cmml" xref="p1.1.m1.1.16">formulae-sequence</csymbol>
            <apply id="p1.1.m1.1.25.2.3.2.cmml" xref="p1.1.m1.1.25.2.3.2">
              <gt id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14"/>
              <apply id="p1.1.m1.1.25.2.3.2.1.1.cmml" xref="p1.1.m1.1.25.2.3.2.1">
                <abs id="p1.1.m1.1.25.2.3.2.1.1.1.cmml" xref="p1.1.m1.1.11"/>
                <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝜏</ci>
              </apply>
              <cn type="integer" id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">1</cn>
            </apply>
            <apply id="p1.1.m1.1.25.2.3.3.cmml" xref="p1.1.m1.1.25.2.3.3">
              <lt id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22"/>
              <apply id="p1.1.m1.1.25.2.3.3.1.1.cmml" xref="p1.1.m1.1.25.2.3.3.1">
                <abs id="p1.1.m1.1.25.2.3.3.1.1.1.cmml" xref="p1.1.m1.1.17"/>
                <apply id="p1.1.m1.1.25.2.3.3.1.2.cmml" xref="p1.1.m1.1.25.2.3.3.1.2">
                  <plus id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19"/>
                  <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">𝜏</ci>
                  <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
                    <ci id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">¯</ci>
                    <ci id="p1.1.m1.1.20.2.cmml" xref="p1.1.m1.1.20.2">𝜏</ci>
                  </apply>
                </apply>
              </apply>
              <cn type="integer" id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">1</cn>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\Omega(\Gamma)=\{\tau\in H:|\tau|&gt;1,|\tau+{\overline{\tau}}|&lt;1\}}</annotation>
  </semantics>
</math>

SVG (11.113 KB / 3.958 KB) :

normal upper Omega times left-parenthesis normal upper Gamma right-parenthesis equals StartSet tau element-of upper H colon StartAbsoluteValue tau EndAbsoluteValue greater-than 1 comma StartAbsoluteValue tau plus tau overbar EndAbsoluteValue less-than 1 EndSet

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.608 KB / 492 B) :

Ω ( Γ ) = { τ H : | τ | > 1 , | τ + τ ¯ | < 1 } {\displaystyle \Omega (\Gamma )=\{\tau \in H:|\tau |>1,|\tau +{\overline {\tau }}|<1\}}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \Omega (\Gamma )=\{\tau \in H:|\tau |&gt;1,|\tau +{\overline {\tau }}|&lt;1\}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi mathvariant="normal">&#x03A9;<!-- Ω --></mi>
        <mo stretchy="false">(</mo>
        <mi mathvariant="normal">&#x0393;<!-- Γ --></mi>
        <mo stretchy="false">)</mo>
        <mo>=</mo>
        <mo fence="false" stretchy="false">{</mo>
        <mi>&#x03C4;<!-- τ --></mi>
        <mo>&#x2208;<!-- ∈ --></mo>
        <mi>H</mi>
        <mo>:</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <mi>&#x03C4;<!-- τ --></mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <mo>&gt;</mo>
        <mn>1</mn>
        <mo>,</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <mi>&#x03C4;<!-- τ --></mi>
        <mo>+</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mover>
            <mi>&#x03C4;<!-- τ --></mi>
            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
          </mover>
        </mrow>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <mo>&lt;</mo>
        <mn>1</mn>
        <mo fence="false" stretchy="false">}</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \Omega (\Gamma )=\{\tau \in H:|\tau |&gt;1,|\tau +{\overline {\tau }}|&lt;1\}}</annotation>
  </semantics>
</math>

SVG (8.805 KB / 3.655 KB) :

{\displaystyle \Omega (\Gamma )=\{\tau \in H:|\tau |>1,|\tau +{\overline {\tau }}|<1\}}

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Free regular set page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results