Display a linear combination: Difference between revisions

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Write a function that, when given a finite list of scalars <math>(\alpha^1,\alpha^2,\ldots)</math>, creates a string representing the linear combination <math>\sum_i\alpha^i e_i</math>
Write a function that, when given a finite list of scalars <math>(\alpha^1,\alpha^2,\ldots)</math>, creates a string representing the linear combination <math>\sum_i\alpha^i e_i</math>


The string should have an explicit format often used in mathematics, that is <math>\alpha^{i_1}e_{i_1}\pm\alpha^{i_2}e_{i_2}\pm\ldots</math> where the <math>\alpha^{i_k}\neq 0</math>
The string should have an explicit format often used in mathematics, that is <math>\alpha^{i_1}e_{i_1}\pm\alpha^{i_2}e_{i_2}\pm\ldots</math> where <math>\alpha^{i_k}\neq 0</math>


In other words, and with examples and counter-examplers, your output must comply to the following rules:
In other words, and with examples and counter-examples, your output must comply to the following rules:


* you don't show null terms, unless the whole combination is null. For instance while the output "0" is fine, "e(1) + 0*e(3)" or "0 + e(1)" are wrong.
* you don't show null terms, unless the whole combination is null. For instance while the output "0" is fine, "e(1) + 0*e(3)" or "0 + e(1)" are wrong.