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| + | ====== Together ====== | ||
| + | ---- | ||
| + | ====Description==== | ||
| + | * ''Together'' puts terms in a sum over a common denominator | ||
| + | |||
| + | * ''Together'' cancels only terms that can be canceled without factorisation | ||
| + | |||
| + | * ''TogetherFactor'' cancels factors in the result | ||
| + | |||
| + | |||
| + | ====Examples==== | ||
| + | Combine terms over a common denominator: | ||
| + | <sxh groovy; gutter: false> | ||
| + | println Together >> 'f_m / a + g_m / b'.t | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > (b*f_m + a*g_m)/(a*b) | ||
| + | </sxh> | ||
| + | ---- | ||
| + | ''Together'' automatically takes care about dummy indices relabelling | ||
| + | <sxh groovy; gutter: false> | ||
| + | println Together >> '(f_m*f^m) / (a_n*a^n) + (b_n*b^n) / (c_m*c^m)'.t | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > (f_m*f^m*c_a*c^a+a_a*a^a*b_n*b^n)/(a_c*a^c*c_b*c^b) | ||
| + | </sxh> | ||
| + | ---- | ||
| + | ''Together'' does not perform factorisation: | ||
| + | <sxh groovy; gutter: false> | ||
| + | println Together >> 'x**2/(x**2 - 1) + x/(x**2 - 1)'.t | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > (x**2-1)**(-1)*(x**2+x) | ||
| + | </sxh> | ||
| + | Use ''Together & Factor'': | ||
| + | <sxh groovy; gutter: false> | ||
| + | println( (Together & Factor) >> 'x**2/(x**2 - 1) + x/(x**2 - 1)'.t ) | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > (-1+x)**(-1)*x | ||
| + | </sxh> | ||
| + | |||
| + | ====See also==== | ||
| + | * Related guides: [[documentation:guide:applying_and_manipulating_transformations]], [[documentation:guide:list_of_transformations]] | ||
| + | * Related transformations: [[documentation:ref:factor]], [[documentation:ref:expand]] | ||
| + | * JavaDocs: [[http://api.redberry.cc/redberry/1.1.9/java-api/cc/redberry/core/transformations/fractions/TogetherTransformation.html| TogetherTransformation]] | ||
| + | * Source code: [[https://bitbucket.org/redberry/redberry/src/tip/core/src/main/java/cc/redberry/core/fractions/TogetherTransformation.java|TogetherTransformation.java]] | ||