Display a linear combination: Difference between revisions
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The purpose of this task is to display a finite [[wp:linear combination|linear combination]] in an infinite vector basis <math>(e_1, e_2,\ldots)</math>. |
The purpose of this task is to display a finite [[wp:linear combination|linear combination]] in an infinite vector basis <math>(e_1, e_2,\ldots)</math>. |
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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> in an explicit format often used in mathematics, that is: |
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:<math>\alpha^{i_1}e_{i_1}\pm|\alpha^{i_2}|e_{i_2}\pm|\alpha^{i_3}|e_{i_3}\ldots</math> |
:<math>\alpha^{i_1}e_{i_1}\pm|\alpha^{i_2}|e_{i_2}\pm|\alpha^{i_3}|e_{i_3}\pm\ldots</math> |
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where <math>\alpha^{i_k}\neq 0</math> |
where <math>\alpha^{i_k}\neq 0</math> |
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