Continued fraction: Difference between revisions
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[[File:Fōrmulæ - Continued fraction 02.png]] |
[[File:Fōrmulæ - Continued fraction 02.png]] |
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[[File:Fōrmulæ - Continued fraction |
[[File:Fōrmulæ - Continued fraction 03a.png]] |
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Case 1. <math>\sqrt 2</math> |
'''Case 1.''' <math>\sqrt 2</math> |
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In this case |
In this case |
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* The value of the normal (numeric) call, forced to be shown as a decimal number, by using the Math.Numeric expression (the N(x) expression) |
* The value of the normal (numeric) call, forced to be shown as a decimal number, by using the Math.Numeric expression (the N(x) expression) |
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[[File:Fōrmulæ - Continued fraction |
[[File:Fōrmulæ - Continued fraction 04a.png]] |
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[[File:Fōrmulæ - Continued fraction |
[[File:Fōrmulæ - Continued fraction 05a.png]] |
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Case 2. <math>e</math> |
'''Case 2.''' <math>e</math> |
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In this case |
In this case |
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* λb is n ↦ 1 if n = 1, n - 1 elsewhere |
* λb is n ↦ 1 if n = 1, n - 1 elsewhere |
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[[File:Fōrmulæ - Continued fraction |
[[File:Fōrmulæ - Continued fraction 06a.png]] |
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[[File:Fōrmulæ - Continued fraction |
[[File:Fōrmulæ - Continued fraction 07a.png]] |
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Case 3. <math>\pi</math> |
'''Case 3.''' <math>\pi</math> |
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In this case |
In this case |
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* λb is n ↦ 2(n - 1)² |
* λb is n ↦ 2(n - 1)² |
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[[File:Fōrmulæ - Continued fraction |
[[File:Fōrmulæ - Continued fraction 08a.png]] |
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[[File:Fōrmulæ - Continued fraction |
[[File:Fōrmulæ - Continued fraction 09a.png]] |
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=={{header|Go}}== |
=={{header|Go}}== |
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