Jump to navigation Jump to search

General

Display information for equation id:math.252657.5 on revision:252657

* Page found: Uniformly convex space (eq math.252657.5)

(force rerendering)

Occurrences on the following pages:

Hash: 74c8e44166cc459a9d5cffaed8232465

TeX (original user input):

\left\|\frac{x+y}{2}\right\| \leq 1-\delta.

TeX (checked):

\left\|{\frac {x+y}{2}}\right\|\leq 1-\delta .

LaTeXML (experimental; uses MathML) rendering

MathML (2.823 KB / 688 B) :

x + y 2 1 - δ . norm 𝑥 𝑦 2 1 𝛿 {\displaystyle\left\|{\frac{x+y}{2}}\right\|\leq 1-\delta.}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\left\|{\frac{x+y}{2}}\right\|\leq 1-\delta.}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.9" xref="p1.1.m1.1.9.2.cmml">
      <mrow id="p1.1.m1.1.9.2" xref="p1.1.m1.1.9.2.cmml">
        <mrow id="p1.1.m1.1.9.2.1" xref="p1.1.m1.1.9.2.1.1.cmml">
          <mo id="p1.1.m1.1.1" xref="p1.1.m1.1.9.2.1.1.1.cmml"></mo>
          <mstyle displaystyle="true" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">
            <mfrac id="p1.1.m1.1.2a" xref="p1.1.m1.1.2.cmml">
              <mrow id="p1.1.m1.1.2.2" xref="p1.1.m1.1.2.2.cmml">
                <mi id="p1.1.m1.1.2.2.1" xref="p1.1.m1.1.2.2.1.cmml">x</mi>
                <mo id="p1.1.m1.1.2.2.2" xref="p1.1.m1.1.2.2.2.cmml">+</mo>
                <mi id="p1.1.m1.1.2.2.3" xref="p1.1.m1.1.2.2.3.cmml">y</mi>
              </mrow>
              <mn id="p1.1.m1.1.2.3" xref="p1.1.m1.1.2.3.cmml">2</mn>
            </mfrac>
          </mstyle>
          <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.9.2.1.1.1.cmml"></mo>
        </mrow>
        <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml"></mo>
        <mrow id="p1.1.m1.1.9.2.2" xref="p1.1.m1.1.9.2.2.cmml">
          <mn id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">1</mn>
          <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">-</mo>
          <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">δ</mi>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.9.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.9.2.cmml" xref="p1.1.m1.1.9">
        <leq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.9.2.1.1.cmml" xref="p1.1.m1.1.9.2.1">
          <csymbol cd="latexml" id="p1.1.m1.1.9.2.1.1.1.cmml" xref="p1.1.m1.1.1">norm</csymbol>
          <apply id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">
            <divide id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2"/>
            <apply id="p1.1.m1.1.2.2.cmml" xref="p1.1.m1.1.2.2">
              <plus id="p1.1.m1.1.2.2.2.cmml" xref="p1.1.m1.1.2.2.2"/>
              <ci id="p1.1.m1.1.2.2.1.cmml" xref="p1.1.m1.1.2.2.1">𝑥</ci>
              <ci id="p1.1.m1.1.2.2.3.cmml" xref="p1.1.m1.1.2.2.3">𝑦</ci>
            </apply>
            <cn type="integer" id="p1.1.m1.1.2.3.cmml" xref="p1.1.m1.1.2.3">2</cn>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.9.2.2.cmml" xref="p1.1.m1.1.9.2.2">
          <minus id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
          <cn type="integer" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">1</cn>
          <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝛿</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\left\|{\frac{x+y}{2}}\right\|\leq 1-\delta.}</annotation>
  </semantics>
</math>

SVG (6.694 KB / 2.579 KB) :

parallel-to StartFraction x plus y Over 2 EndFraction parallel-to less-than-or-equal-to 1 minus delta period

SVG (MathML can be enabled via browser plugin) rendering

MathML (931 B / 394 B) :

x + y 2 1 δ . {\displaystyle \left\|{\frac {x+y}{2}}\right\|\leq 1-\delta .}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \left\|{\frac {x+y}{2}}\right\|\leq 1-\delta .}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow>
          <mo symmetric="true">&#x2016;</mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mfrac>
              <mrow>
                <mi>x</mi>
                <mo>+</mo>
                <mi>y</mi>
              </mrow>
              <mn>2</mn>
            </mfrac>
          </mrow>
          <mo symmetric="true">&#x2016;</mo>
        </mrow>
        <mo>&#x2264;<!-- ≤ --></mo>
        <mn>1</mn>
        <mo>&#x2212;<!-- − --></mo>
        <mi>&#x03B4;<!-- δ --></mi>
        <mo>.</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \left\|{\frac {x+y}{2}}\right\|\leq 1-\delta .}</annotation>
  </semantics>
</math>

SVG (5.646 KB / 2.412 KB) :

{\displaystyle \left\|{\frac {x+y}{2}}\right\|\leq 1-\delta .}

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 Uniformly convex space page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results