0^0 = 1?
05-03-2017, 03:24 PM (This post was last modified: 05-03-2017 03:30 PM by emece67.)
Post: #44
 emece67 Senior Member Posts: 378 Joined: Feb 2015
RE: 0^0 = 1?
(04-26-2017 06:40 AM)Paul Dale Wrote:  The WP 34S conforms to ISO/IEC 9899:2011 for real and complex arguments.

I've read what such ISO standard states about the pow() function and it mandates some objectionable (to me) results, such as:
• $$0^0 = 1$$
• $$1^\infty = 1$$
• $$1^{-\infty} = 1$$
• $$1^{NaN} = 1$$
• $$\infty^0 = 1$$
• $$(-\infty)^{-0.5} = 0$$
• $$(-\infty)^0 = 1$$
• $$(-\infty)^{0.5} = \infty$$
• $$(-\infty)^\infty = \infty$$
• $$NaN^0 = 1$$
• $$(-1)^0 = 1$$
• $$(-1)^\infty = 1$$
• $$(-1)^{-\infty} = 1$$

As Paul stated, the wp34s conforms to this standard (I've checked it).

But, despite the 9899 standard, is this the way people expect a calculator to behave? Apart from the, long discussed, $$0^0$$ case, I expected NaN in all cases.

What is the rationale behind such behavior?

Regards.

Note. The pow() function takes two float/double arguments, there is no pow() function for integers, so I think we will only discuss the real case.
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 Messages In This Thread 0^0 = 1? - emece67 - 04-21-2017, 07:43 AM RE: [wp34s] 0^0 = 1? - Werner - 04-21-2017, 09:55 AM RE: [wp34s] 0^0 = 1? - Thomas Okken - 04-21-2017, 01:54 PM RE: [wp34s] 0^0 = 1? - Egan Ford - 04-22-2017, 01:02 AM RE: [wp34s] 0^0 = 1? - Chris Dreher - 04-22-2017, 05:52 PM RE: [wp34s] 0^0 = 1? - Werner - 04-22-2017, 08:00 AM RE: [wp34s] 0^0 = 1? - Thomas Okken - 04-22-2017, 11:35 AM RE: [wp34s] 0^0 = 1? - emece67 - 04-22-2017, 09:43 AM RE: [wp34s] 0^0 = 1? - AlexFekken - 04-22-2017, 10:40 PM RE: [wp34s] 0^0 = 1? - Thomas Okken - 04-22-2017, 11:28 PM RE: [wp34s] 0^0 = 1? - AlexFekken - 04-23-2017, 01:06 AM RE: [wp34s] 0^0 = 1? - AlexFekken - 04-23-2017, 01:46 AM RE: [wp34s] 0^0 = 1? - Thomas Okken - 04-23-2017, 02:58 PM RE: [wp34s] 0^0 = 1? - Claudio L. - 04-23-2017, 07:33 PM RE: [wp34s] 0^0 = 1? - Thomas Okken - 04-23-2017, 07:45 PM RE: [wp34s] 0^0 = 1? - Claudio L. - 04-24-2017, 12:40 AM RE: [wp34s] 0^0 = 1? - Thomas Okken - 04-24-2017, 02:09 AM RE: [wp34s] 0^0 = 1? - BobVA - 04-23-2017, 04:41 PM RE: [wp34s] 0^0 = 1? - Chris Dreher - 04-24-2017, 03:45 AM RE: [wp34s] 0^0 = 1? - Thomas Okken - 04-24-2017, 04:26 AM RE: [wp34s] 0^0 = 1? - Chris Dreher - 04-24-2017, 06:24 AM RE: [wp34s] 0^0 = 1? - AlexFekken - 04-25-2017, 11:14 AM RE: [wp34s] 0^0 = 1? - Felix Gross - 04-25-2017, 03:00 PM RE: [wp34s] 0^0 = 1? - emece67 - 04-25-2017, 07:53 PM RE: [wp34s] 0^0 = 1? - EdS2 - 04-26-2017, 06:03 AM RE: [wp34s] 0^0 = 1? - Chris Dreher - 04-27-2017, 04:55 AM RE: [wp34s] 0^0 = 1? - Paul Dale - 04-26-2017, 06:40 AM RE: 0^0 = 1? - emece67 - 05-03-2017 03:24 PM RE: [wp34s] 0^0 = 1? - Gerald H - 04-27-2017, 05:48 AM RE: [wp34s] 0^0 = 1? - d b - 04-27-2017, 03:35 PM RE: [wp34s] 0^0 = 1? - rprosperi - 04-27-2017, 04:28 PM RE: [wp34s] 0^0 = 1? - emece67 - 04-27-2017, 05:32 PM RE: 0^0 = 1? - Felix Gross - 04-27-2017, 08:01 PM RE: 0^0 = 1? - Dwight Sturrock - 04-27-2017, 11:20 PM RE: 0^0 = 1? - Craig Bladow - 04-27-2017, 11:46 PM RE: 0^0 = 1? - matthiaspaul - 04-27-2017, 11:51 PM RE: 0^0 = 1? - ttw - 04-28-2017, 04:57 AM RE: 0^0 = 1? - Chris Dreher - 04-28-2017, 04:50 PM RE: 0^0 = 1? - Han - 04-28-2017, 05:50 PM RE: 0^0 = 1? - matthiaspaul - 04-28-2017, 10:22 PM RE: 0^0 = 1? - pier4r - 04-28-2017, 07:39 AM RE: 0^0 = 1? - AndiGer - 04-28-2017, 07:18 PM RE: 0^0 = 1? - ttw - 04-30-2017, 12:35 AM RE: 0^0 = 1? - brickviking - 04-30-2017, 04:59 AM RE: 0^0 = 1? - Anderson Costa - 05-09-2017, 01:04 AM RE: 0^0 = 1? - Felix Gross - 05-09-2017, 07:30 PM

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