In the mean time, some aspects of the sl2 case of our program have been considered in [2]. We also became aware of the interesting papers =-=[32]-=-, in which integrable hierarchies similar to ours have been considered, from a different point of view. The program outlined above has ...
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(Irrational here doesn’t mean “insane” but rather not expressible as a ratio.) The most famous irrational is 2, which did however drive the followers of Pythagoras somewhat insane. To prove the irrationality of 2, assume, to the contrary, that it is rational. This implies 2=n/m, ...
The difference between a linear equation and a rational equation is that rational equations can have polynomials in the numerator and denominator of the fractions. This means that clearing the denominator may sometimes mean multiplying the whole rational equation by a polynomial. In the next example,...
It follows that each branch W is of mean type σ(W)=|d|/λ in each sector containing an asymptotic direction of I. The possible values of the order of growth λ=λ(W)<∞ and the constant d are given by the PUISEUX-diagram of (D)....
But please note: by "can go wrong" I mean that the computation will produce an error; whenever it runs through, the result is mathematically correct.The function HeadOfLocalModule computes the unique irreducible quotient of a standard (which, just to remind you, is a huge module over a ...
Step 3:Simplify and solve for the variable in the linear equation. Now, all we need to do is simplify the expression above and solve for {eq}x {/eq}. $$\begin{align} 3(x+1) + 2x(1) &= 4(x-5)\\ 3x+3 + 2x &= 4x-20\\ 3 + 2x-4x &= -20+3\...
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