Temperament addition: Difference between revisions

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And it's wrong not only because it is clearly enfactored (at least one factor of 2, that is visible in the first vector). The full explanation of why this is the wrong answer is beyond the scope of this example. However, if we now follow through with the instructions described above, we can find the correct answer.

And it's wrong not only because it is clearly enfactored (at least one factor of 2, that is visible in the first vector). The full explanation of why this is the wrong answer is beyond the scope of this example (the nature of correctness here is discussed in the section [[Temperament arithmetic#Arithmetic on non-addable temperaments]]). However, if we now follow through with the instructions described above, we can find the correct answer.

'''1. Find the linear-dependence basis.''' We know where to start: first find the <math>L_{\text{dep}}</math> and put each of these two mappings into a form that includes it explicitly. In this case, their <math>L_{\text{dep}}</math> consists of a single vector: {{ket|{{map|19 30 44 53}}}}.

Revision as of 19:49, 2 January 2022 view source Cmloegcmluin (talk \| contribs) autopatrolled, emailconfirmed 5,160 edits →Applications: relegate to footnote ← Older edit		Revision as of 19:53, 2 January 2022 view source Cmloegcmluin (talk \| contribs) autopatrolled, emailconfirmed 5,160 edits →Example: link to where correct answer is explained Newer edit →
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	And it's wrong not only because it is clearly enfactored (at least one factor of 2, that is visible in the first vector). The full explanation of why this is the wrong answer is beyond the scope of this example. However, if we now follow through with the instructions described above, we can find the correct answer.		And it's wrong not only because it is clearly enfactored (at least one factor of 2, that is visible in the first vector). The full explanation of why this is the wrong answer is beyond the scope of this example (the nature of correctness here is discussed in the section [[Temperament arithmetic#Arithmetic on non-addable temperaments]]). However, if we now follow through with the instructions described above, we can find the correct answer.

	'''1. Find the linear-dependence basis.''' We know where to start: first find the <span style="color: #3C8031;"><math>L_{\text{dep}}</math></span> and put each of these two mappings into a form that includes it explicitly. In this case, their <span style="color: #3C8031;"><math>L_{\text{dep}}</math></span> consists of a single vector: <span style="color: #3C8031;">{{ket\|{{map\|19 30 44 53}}}}</span>.		'''1. Find the linear-dependence basis.''' We know where to start: first find the <span style="color: #3C8031;"><math>L_{\text{dep}}</math></span> and put each of these two mappings into a form that includes it explicitly. In this case, their <span style="color: #3C8031;"><math>L_{\text{dep}}</math></span> consists of a single vector: <span style="color: #3C8031;">{{ket\|{{map\|19 30 44 53}}}}</span>.