I have been looking into hyper-operators and indeterminate forms and have found several references in PDF's and such to something known as circulation.
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While Cozens'goal was not to probe the psychology of the artist, he knew that indeterminate forms could unlock the inner workings of the mind.
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Getting an indeterminate form for an answer doesn't mean there is no answer; it means you can't tell by that technique what the answer is.
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By contrast, in this case the more common formula has a division by zero for one root and an indeterminate form for the other root.
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I have a feeling these are all " indeterminate forms . " The preceding talk ) 08 : 35, 22 March 2007 ( UTC ).
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Are there any other indeterminate forms that are suitable for newbies ( to calculus ) ?-- write to me 03 : 43, 4 October 2007 ( UTC)
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On the other hand, when 0 } }, the more common formula yields two correct roots whereas this form yields the zero root and an indeterminate form.
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The last two formulas can be numerically troublesome due to the division by zero ( indeterminate form, specifically ) at 1 } } and " 1 } }.
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This is only really valid if is non-zero but can be considered as valid also for if is considered as being an indeterminate form rather than as being undefined.
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I know that direct substitution fails because it produces an indeterminate form in each case, so I basically know that each expression is a disguised form of the derivative.
