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Newton
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FILE INFORMATION
Ranked as 24394 on our all-time top downloads list with 2384 downloads.
Ranked as 20945 on our top downloads list for the past seven days with 1 downloads.
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newtonjm.zip
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Filename
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newtonjm.zip (Download)
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Title
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Newton
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Description
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It may seem like another Newton iteration program, but I've written this one to have a few special touches to it that make it worthwhile. First, the program displays the equation (Y1) upon loading. After asking for an X value to be the starting point, the calculator tests that value. If the derivative of Y1 at that value returns an answer of zero (thus making Newton's method [x - f(x)/f'(x)] divide by zero), the calculator will display "Pathological Error: d/dx = 0." If that X value does not immediately return a derivative of zero, after 50 unsuccessful iterations the calculator will assume that there is a pathological error, and will display the same error message as before. I added the pathological error aspects to this program because the typical Newton iteration program will continuously attempt iterations before the "divide by zero" error is displayed (if it ever is), wasting both time and batteries.
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Author
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Postmaster Josh (postmasterjosh@gmail.com)
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Category
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TI-83/84 Plus BASIC Math Programs (Calculus)
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File Size
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370 bytes
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File Date and Time
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Mon Jul 17 11:14:59 2006
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Documentation Included?
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No
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