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documentation:ref:expandtensors [2015/11/20 20:39]
poslavskysv [Description]
documentation:ref:expandtensors [2015/11/21 12:33] (current)
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   * ''​ExpandTensors[transformations]''​ or ''​%%ExpandTensors[[Simplifications:​ transformations]]%%''​ applies ''​transformations''​ at each level of expand procedure.   * ''​ExpandTensors[transformations]''​ or ''​%%ExpandTensors[[Simplifications:​ transformations]]%%''​ applies ''​transformations''​ at each level of expand procedure.
  
-  * ''​ExpandTensors[[LeaveScalars:​ true]]''​ will not expand expressions like ''​(A_a^a + B_a^a)*(C_b^b + D_b^b)''​.+  * ''​%%ExpandTensors[[LeaveScalars:​ true]]%%''​ will not expand expressions like ''​(A_a^a + B_a^a)*(C_b^b + D_b^b)''​.
  
 ====Examples==== ====Examples====
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 </​sxh>​ </​sxh>​
  
 +<sxh groovy; gutter: false>
 +println ExpandTensors >> '(1 + x)**4*(A_a + B_a)*(A^a + B^a)'​.t
 +</​sxh>​
 +<sxh plain; gutter: false>
 +   > (x+1)**4*B^{a}*B_{a}+2*(x+1)**4*B^{a}*A_{a}+(x+1)**4*A^{a}*A_{a}
 +</​sxh>​
 ---- ----
  
 +Symbolic parts will be kept on all levels:
 +
 +<sxh groovy; gutter: false>
 +def t = '​((a+b)*(c+d)*(f_a + (k+i)*t_a) + (a + c)*t_a)*(c+r)*((a+b)*f^a + (c+d)*t^a)'​.t
 +println ExpandTensors >> t
 +</​sxh>​
 +<sxh plain; gutter: false>
 +   > (c+r)*(c+d)*(a+b)**2*f_a*f^a + (c+r)*((a+b)*(c+d)*(k+i) + 
 +          (a + c))*(a+b)*t_a*f^a + (c+r)*(a+b)*(c+d)*(c+d)*f_a*t^a ​
 +          + (c+r)*((a+b)*(c+d)*(k+i) + (a + c))*(c+d)*t_a*t^a
 +</​sxh>​
 +
 +----
 +Specify additional simplifications:​
 +
 +<sxh groovy; gutter: false>
 +def simplify = '​f_a*f^a = a'.t & '​f_a*t^a = b'.t & '​t_a*t^a = c'.t
 +def t = '​(2*(c+a)-164*a)*(f_{a}+t_{a})*f^{a}'​.t
 +println ExpandTensors[simplify] >> t
 +</​sxh>​
 +<sxh plain; gutter: false>
 +   > a*(-164*a+2*(c+a))+b*(-164*a+2*(c+a))
 +</​sxh>​
  
 ====See also==== ====See also====
   * Related guides: [[documentation:​guide:​applying_and_manipulating_transformations]],​ [[documentation:​guide:​list_of_transformations]]   * Related guides: [[documentation:​guide:​applying_and_manipulating_transformations]],​ [[documentation:​guide:​list_of_transformations]]
   * Related transformations:​ [[documentation:​ref:​expand]], ​ [[documentation:​ref:​expandall]],​ [[documentation:​ref:​expandnumerator]],​ [[documentation:​ref:​expanddenominator]]   * Related transformations:​ [[documentation:​ref:​expand]], ​ [[documentation:​ref:​expandall]],​ [[documentation:​ref:​expandnumerator]],​ [[documentation:​ref:​expanddenominator]]
-  * JavaDocs: [[http://​api.redberry.cc/​redberry/​1.1.8/​java-api/​cc/​redberry/​core/​transformations/​expand/​ExpandTensorsTransformation.html|ExpandTensorsTransformation]]+  * JavaDocs: [[http://​api.redberry.cc/​redberry/​1.1.9/​java-api/​cc/​redberry/​core/​transformations/​expand/​ExpandTensorsTransformation.html|ExpandTensorsTransformation]]
   * Source code: [[https://​bitbucket.org/​redberry/​redberry/​src/​tip/​core/​src/​main/​java/​cc/​redberry/​core/​transformations/​expand/​ExpandTensorsTransformation.java|ExpandTensorsTransformation.java]]   * Source code: [[https://​bitbucket.org/​redberry/​redberry/​src/​tip/​core/​src/​main/​java/​cc/​redberry/​core/​transformations/​expand/​ExpandTensorsTransformation.java|ExpandTensorsTransformation.java]]
 +