Esempio: funzioni per norme e determinanti della matrice

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Esempio: funzioni per norme e determinanti della matrice

1. Definire una matrice quadrata.

2. Impostare gli elementi della matrice su nomi di variabile generici.

Fare clic per copiare questa espressione

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        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
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        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
        </id>
        <id labels="VARIABLE" xml:space="preserve">
          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
        </id>
      </matrix>
      <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">M</id>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
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3. Utilizzare la funzione norm1 per trovare la norma L1 della matrice M.

In alternativa, trovare la norma L1 calcolando il valore massimo delle somme di colonna assolute di M.

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    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">
        <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ACS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
      </id>
      <apply>
        <plus />
        <apply>
          <plus />
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
            </id>
          </apply>
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
            </id>
          </apply>
        </apply>
        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
  </math>
</region>

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    <define xmlns="http://schemas.mathsoft.com/math50">
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      </id>
      <apply>
        <plus />
        <apply>
          <plus />
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
          </apply>
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
          </apply>
        </apply>
        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
  </math>
</region>

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        <plus />
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            <absval />
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            </id>
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          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
            </id>
          </apply>
        </apply>
        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
  </math>
</region>

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    <define xmlns="http://schemas.mathsoft.com/math50">
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      </id>
      <eval>
        <apply>
          <id labels="FUNCTION" xml:space="preserve" label-is-contextual="true">max</id>
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            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ACS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
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            </id>
          </sequence>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
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4. Utilizzare la funzione norm2 per trovare la norma L2 della matrice M.

In alternativa, utilizzare la funzione svds per trovare il singolo valore assoluto più grande della matrice M.

La funzione svds restituisce un vettore di singoli valori ordinati, in modo che il valore superiore sia il singolo valore più grande della matrice M.

5. Utilizzare la funzione norme per trovare la norma euclidea della matrice M.

In alternativa, calcolare manualmente la radice quadrata della somma dei quadrati assoluti della matrice M.

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      </id>
      <eval>
        <apply>
          <nthRoot />
          <placeholder />
          <apply>
            <plus />
            <apply>
              <plus />
              <apply>
                <plus />
                <apply>
                  <plus />
                  <apply>
                    <plus />
                    <apply>
                      <plus />
                      <apply>
                        <plus />
                        <apply>
                          <plus />
                          <apply>
                            <pow />
                            <apply>
                              <absval />
                              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                              </id>
                            </apply>
                            <real>2</real>
                          </apply>
                          <apply>
                            <pow />
                            <apply>
                              <absval />
                              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                              </id>
                            </apply>
                            <real>2</real>
                          </apply>
                        </apply>
                        <apply>
                          <pow />
                          <apply>
                            <absval />
                            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                            </id>
                          </apply>
                          <real>2</real>
                        </apply>
                      </apply>
                      <apply>
                        <pow />
                        <apply>
                          <absval />
                          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                          </id>
                        </apply>
                        <real>2</real>
                      </apply>
                    </apply>
                    <apply>
                      <pow />
                      <apply>
                        <absval />
                        <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                          <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                        </id>
                      </apply>
                      <real>2</real>
                    </apply>
                  </apply>
                  <apply>
                    <pow />
                    <apply>
                      <absval />
                      <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                        <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                      </id>
                    </apply>
                    <real>2</real>
                  </apply>
                </apply>
                <apply>
                  <pow />
                  <apply>
                    <absval />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                    </id>
                  </apply>
                  <real>2</real>
                </apply>
              </apply>
              <apply>
                <pow />
                <apply>
                  <absval />
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                  </id>
                </apply>
                <real>2</real>
              </apply>
            </apply>
            <apply>
              <pow />
              <apply>
                <absval />
                <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                  <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                </id>
              </apply>
              <real>2</real>
            </apply>
          </apply>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

6. Utilizzare la funzione normi per trovare la norma infinita della matrice M.

In alternativa, utilizzare la funzione max per calcolare manualmente il valore massimo delle somme di riga assolute della matrice M.

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      <apply>
        <plus />
        <apply>
          <plus />
          <apply>
            <absval />
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              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
            </id>
          </apply>
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
          </apply>
        </apply>
        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

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        <plus />
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            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
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            </id>
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        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
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      </id>
      <apply>
        <plus />
        <apply>
          <plus />
          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
            </id>
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          <apply>
            <absval />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
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        <apply>
          <absval />
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
          </id>
        </apply>
      </apply>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
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    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">
        <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">N<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">i</Subscript></Span>
      </id>
      <eval>
        <apply>
          <id labels="FUNCTION" xml:space="preserve" label-is-contextual="true">max</id>
          <sequence>
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ARS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
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            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ARS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
            </id>
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">ARS<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
            </id>
          </sequence>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
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7. Utilizzare la funzione det per trovare il determinante della matrice M.

In alternativa, calcolare manualmente il determinante della matrice M.

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    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">DET</id>
      <eval>
        <apply>
          <plus />
          <apply>
            <minus />
            <apply>
              <mult />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
              </id>
              <parens>
                <apply>
                  <minus />
                  <apply>
                    <mult />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                    </id>
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                    </id>
                  </apply>
                  <apply>
                    <mult />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                    </id>
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                    </id>
                  </apply>
                </apply>
              </parens>
            </apply>
            <apply>
              <mult />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
              </id>
              <parens>
                <apply>
                  <minus />
                  <apply>
                    <mult />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                    </id>
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                    </id>
                  </apply>
                  <apply>
                    <mult />
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
                    </id>
                    <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                      <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                    </id>
                  </apply>
                </apply>
              </parens>
            </apply>
          </apply>
          <apply>
            <mult />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
              <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">2</Subscript></Span>
            </id>
            <parens>
              <apply>
                <minus />
                <apply>
                  <mult />
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                  </id>
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                  </id>
                </apply>
                <apply>
                  <mult />
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">1</Subscript></Span>
                  </id>
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                    <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                  </id>
                </apply>
              </apply>
            </parens>
          </apply>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

8. Utilizzare la funzione norm per trovare la norma di un vettore contenente gli elementi della colonna 0 della matrice M.

Fare clic per copiare questa espressione

<region id="ID0EKTEFB" actualWidth="109.26666666666668" actualHeight="69.37360000000001" top="1497.6000000000001" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="78">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">v</id>
      <eval>
        <matrix rows="3" cols="1">
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
          </id>
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
          </id>
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
            <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
          </id>
        </matrix>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
  </math>
</region>

In alternativa, calcolare manualmente la norma del vettore v.

<region id="ID0EPUEFB" actualWidth="207.04933364629747" actualHeight="36.780453040075308" top="1632.0000000000002" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="82">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">N</id>
      <eval>
        <apply>
          <nthRoot />
          <placeholder />
          <apply>
            <plus />
            <apply>
              <plus />
              <apply>
                <pow />
                <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                  <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">a<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                </id>
                <real>2</real>
              </apply>
              <apply>
                <pow />
                <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                  <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">b<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
                </id>
                <real>2</real>
              </apply>
            </apply>
            <apply>
              <pow />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">
                <Span xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation">c<Subscript xmlns="clr-namespace:Ptc.Wpf;assembly=Ptc.Core">0</Subscript></Span>
              </id>
              <real>2</real>
            </apply>
          </apply>
        </apply>
        <unitOverride>
          <placeholder />
        </unitOverride>
      </eval>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

Argomenti correlati

Norma di una matrice quadrata

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