Simplifying Expressions Involving Radicals

... the simplification of expressions. Since many algorithms in Computer Algebra systems like Mathematica, Maple, and Reduce work in quite general settings they do not necessarily find a solution to a given problem described in the easiest possible way. Simplification algorithms can be applied to expres ...

... the simplification of expressions. Since many algorithms in Computer Algebra systems like Mathematica, Maple, and Reduce work in quite general settings they do not necessarily find a solution to a given problem described in the easiest possible way. Simplification algorithms can be applied to expres ...

A (biased) survey on Arithmetic Circuits

... derivatives of C according to X1,…,Xk (any k) is at most s (spanned by Li,k+1(Xk+1) ⋅ … ⋅ Li,d(Xd)) Algorithm: compute a basis for all derivatives according to X1,…,Xk starting from k=1 to k=d. C≡0 if at the end all basis elements are 0 Same idea also in the general case ...

... derivatives of C according to X1,…,Xk (any k) is at most s (spanned by Li,k+1(Xk+1) ⋅ … ⋅ Li,d(Xd)) Algorithm: compute a basis for all derivatives according to X1,…,Xk starting from k=1 to k=d. C≡0 if at the end all basis elements are 0 Same idea also in the general case ...