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Display information for equation id:math.245369.0 on revision:245369

* Page found: Affine hull (eq math.245369.0)

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Hash: cc4e594af56a32cb6e7a16904ee71192

TeX (original user input):

\operatorname{aff} (S)=\left\{\sum_{i=1}^k \alpha_i x_i \Bigg | k>0, \, x_i\in S, \, \alpha_i\in \mathbb{R}, \, \sum_{i=1}^k \alpha_i=1 \right\}.

TeX (checked):

\operatorname {aff} (S)=\left\{\sum _{i=1}^{k}\alpha _{i}x_{i}{\Bigg |}k>0,\,x_{i}\in S,\,\alpha _{i}\in \mathbb {R} ,\,\sum _{i=1}^{k}\alpha _{i}=1\right\}.

LaTeXML (experimental; uses MathML) rendering

MathML (13.323 KB / 1.927 KB) :

aff ( S ) = { i = 1 k α i x i | k > 0 , x i S , α i , i = 1 k α i = 1 } . aff 𝑆 conditional-set superscript subscript 𝑖 1 𝑘 subscript 𝛼 𝑖 subscript 𝑥 𝑖 formulae-sequence 𝑘 0 formulae-sequence subscript 𝑥 𝑖 𝑆 formulae-sequence subscript 𝛼 𝑖 superscript subscript 𝑖 1 𝑘 subscript 𝛼 𝑖 1 {\displaystyle\operatorname{aff}(S)=\left\{\sum_{{i=1}}^{k}\alpha_{i}x_{i}{% \Bigg{|}}k>0,\,x_{i}\in S,\,\alpha_{i}\in{\mathbb{R}},\,\sum_{{i=1}}^{k}\alpha% _{i}=1\right\}.}
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                  <cn type="integer" id="p1.1.m1.1.40.cmml" xref="p1.1.m1.1.40">1</cn>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\operatorname{aff}(S)=\left\{\sum_{{i=1}}^{k}\alpha_{i}x_{i}{%
\Bigg{|}}k&gt;0,\,x_{i}\in S,\,\alpha_{i}\in{\mathbb{R}},\,\sum_{{i=1}}^{k}\alpha%
_{i}=1\right\}.}</annotation>
  </semantics>
</math>

SVG (19.805 KB / 6.708 KB) :

a f f left-parenthesis upper S right-parenthesis equals StartSet sigma-summation Underscript i equals 1 Overscript k Endscripts alpha Subscript i Baseline times x Subscript i Baseline vertical-bar k greater-than 0 comma x Subscript i Baseline element-of upper S comma alpha Subscript i Baseline element-of double-struck upper R comma sigma-summation Underscript i equals 1 Overscript k Endscripts alpha Subscript i Baseline equals 1 EndSet period

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Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Reached unknown latex-command \operatorname - Reason: Unknown LaTeX Command

Translation to Mathematica

In Mathematica:

Reached unknown latex-command \operatorname - Reason: Unknown LaTeX Command

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