14-10-2016 18:59 | |
IBdaMann![]() (14212) |
jwoodward48 wrote: Great. Do you understand what a local maximum is? Do you yet understand why every segment in a discontinuous domain will necessarily have a highest point? . I don't think i can [define it]. I just kind of get a feel for the phrase. - keepit A Spaghetti strainer with the faucet running, retains water- tmiddles Clouds don't trap heat. Clouds block cold. - Spongy Iris Printing dollars to pay debt doesn't increase the number of dollars. - keepit If Venus were a black body it would have a much much lower temperature than what we found there.- tmiddles Ah the "Valid Data" myth of ITN/IBD. - tmiddles Ceist - I couldn't agree with you more. But when money and religion are involved, and there are people who value them above all else, then the lies begin. - trafn You are completely misunderstanding their use of the word "accumulation"! - Climate Scientist. The Stefan-Boltzman equation doesn't come up with the correct temperature if greenhouse gases are not considered - Hank :*sigh* Not the "raw data" crap. - Leafsdude IB STILL hasn't explained what Planck's Law means. Just more hand waving that it applies to everything and more asserting that the greenhouse effect 'violates' it.- Ceist |
14-10-2016 21:04 | |
jwoodward48★★★★☆ (1537) |
IBdaMann wrote:jwoodward48 wrote: Ah, okay. I'm just a bit rusty on my Calc definitions. I see that I need to clarify. If we do not allow the endpoints to be considered local maxima, by declaring the interval to be open-ended, then not every segment will have a local maximum. Why would I do this? Because then the number of local maxima is conserved when we remove intervals from the domain. "Heads on a science Apart" - Coldplay, The Scientist IBdaMann wrote: No, science doesn't insist that, ergo I don't insist that. I am the Ninja Scientist! Beware! |
14-10-2016 21:07 | |
IBdaMann![]() (14212) |
jwoodward48 wrote:Ah, okay. I'm just a bit rusty on my Calc definitions. I see that I need to clarify. You can't simply do that. Gases have discontinuous domains. You have to work with the domains you have. You don't get to tweak them. . I don't think i can [define it]. I just kind of get a feel for the phrase. - keepit A Spaghetti strainer with the faucet running, retains water- tmiddles Clouds don't trap heat. Clouds block cold. - Spongy Iris Printing dollars to pay debt doesn't increase the number of dollars. - keepit If Venus were a black body it would have a much much lower temperature than what we found there.- tmiddles Ah the "Valid Data" myth of ITN/IBD. - tmiddles Ceist - I couldn't agree with you more. But when money and religion are involved, and there are people who value them above all else, then the lies begin. - trafn You are completely misunderstanding their use of the word "accumulation"! - Climate Scientist. The Stefan-Boltzman equation doesn't come up with the correct temperature if greenhouse gases are not considered - Hank :*sigh* Not the "raw data" crap. - Leafsdude IB STILL hasn't explained what Planck's Law means. Just more hand waving that it applies to everything and more asserting that the greenhouse effect 'violates' it.- Ceist |
14-10-2016 21:10 | |
jwoodward48★★★★☆ (1537) |
I'm not tweaking the domains. More like tweaking the definition of "peak". If you'd like, I could define a new term, "jay-peak", which is thus defined, and which is conserved when removing intervals from domains. The problem is that "peak" is somewhat vague. Not every interval contains a local maximum, anyway. |
14-10-2016 21:13 | |
IBdaMann![]() (14212) |
jwoodward48 wrote: Not every interval contains a local maximum, anyway. Yes, every domain segment contains at least one local maximum. You don't get to "tweak" definition of "domain" or "maxima." . I don't think i can [define it]. I just kind of get a feel for the phrase. - keepit A Spaghetti strainer with the faucet running, retains water- tmiddles Clouds don't trap heat. Clouds block cold. - Spongy Iris Printing dollars to pay debt doesn't increase the number of dollars. - keepit If Venus were a black body it would have a much much lower temperature than what we found there.- tmiddles Ah the "Valid Data" myth of ITN/IBD. - tmiddles Ceist - I couldn't agree with you more. But when money and religion are involved, and there are people who value them above all else, then the lies begin. - trafn You are completely misunderstanding their use of the word "accumulation"! - Climate Scientist. The Stefan-Boltzman equation doesn't come up with the correct temperature if greenhouse gases are not considered - Hank :*sigh* Not the "raw data" crap. - Leafsdude IB STILL hasn't explained what Planck's Law means. Just more hand waving that it applies to everything and more asserting that the greenhouse effect 'violates' it.- Ceist |
14-10-2016 21:22 | |
jwoodward48★★★★☆ (1537) |
Does every open-ended interval contain a local maximum? |
17-10-2016 20:47 | |
IBdaMann![]() (14212) |
jwoodward48 wrote: Does every open-ended interval contain a local maximum? Yes, at least one. It could contain many. . I don't think i can [define it]. I just kind of get a feel for the phrase. - keepit A Spaghetti strainer with the faucet running, retains water- tmiddles Clouds don't trap heat. Clouds block cold. - Spongy Iris Printing dollars to pay debt doesn't increase the number of dollars. - keepit If Venus were a black body it would have a much much lower temperature than what we found there.- tmiddles Ah the "Valid Data" myth of ITN/IBD. - tmiddles Ceist - I couldn't agree with you more. But when money and religion are involved, and there are people who value them above all else, then the lies begin. - trafn You are completely misunderstanding their use of the word "accumulation"! - Climate Scientist. The Stefan-Boltzman equation doesn't come up with the correct temperature if greenhouse gases are not considered - Hank :*sigh* Not the "raw data" crap. - Leafsdude IB STILL hasn't explained what Planck's Law means. Just more hand waving that it applies to everything and more asserting that the greenhouse effect 'violates' it.- Ceist |
17-10-2016 22:29 | |
jwoodward48★★★★☆ (1537) |
No, it doesn't. Let us imagine a monotonically increasing function f over an open-ended domain D, which is (a, b). For any number x within D that is not b, there will be another number m such that f(m)>f(x). b is not an acceptable input number, since it is not within the domain. Ergo there can be no local maximum. |
18-10-2016 22:23 | |
IBdaMann![]() (14212) |
jwoodward48 wrote:Let us imagine a monotonically increasing function f Just a trivial note, "monotone increasing" is the correct descriptor of the monotonic function you wish to discuss ...carry on... jwoodward48 wrote: over an open-ended domain D, which is (a, b). For any number x within D that is not b, there will be another number m such that f(m)>f(x). b is not an acceptable input number, since it is not within the domain. Ergo there can be no local maximum. OK, you are correct. I misinterpreted the "open-ended" part. I thought you meant "the domain extends out to infinity in both directions." If you pick a domain interval with the endpoints then you must have a greatest f(x) value. With the endpoints removed then yes, there is no maximum f(x). I apologize for the confusion. . I don't think i can [define it]. I just kind of get a feel for the phrase. - keepit A Spaghetti strainer with the faucet running, retains water- tmiddles Clouds don't trap heat. Clouds block cold. - Spongy Iris Printing dollars to pay debt doesn't increase the number of dollars. - keepit If Venus were a black body it would have a much much lower temperature than what we found there.- tmiddles Ah the "Valid Data" myth of ITN/IBD. - tmiddles Ceist - I couldn't agree with you more. But when money and religion are involved, and there are people who value them above all else, then the lies begin. - trafn You are completely misunderstanding their use of the word "accumulation"! - Climate Scientist. The Stefan-Boltzman equation doesn't come up with the correct temperature if greenhouse gases are not considered - Hank :*sigh* Not the "raw data" crap. - Leafsdude IB STILL hasn't explained what Planck's Law means. Just more hand waving that it applies to everything and more asserting that the greenhouse effect 'violates' it.- Ceist |
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