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Google "significant digits" (you should have learned this in HS science class btw...). But the short answer is 14.0 states we care about tenths (seconds, meters, whatever) because we are able to know the value of the tenths. 14 states we are not able to know the value of the tenths so we go out of our way to ignore them. So the way the rules under discussion are worded we are not to consider 10ths at all. |
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I understand your point, but I doubt the rulemakers were considering significant digits when they re-wrote the rule this year. I think what they meant was if the shot clock "displays" 14 seconds or less, reset it. But I disagree with you if you want to say that's what the rule actually says now. |
2-14.6f. When an intentionally kicked ball occurs with 14 seconds or less remaining, set to 15 seconds
2-14.7Stop the timing device and continue time without a reset when play begins under the following circumstances: b. When an intentionally kicked ball occurs with 15 seconds or more remaining; Men's Report...Last season, a rule change was implemented for an intentionally kicked ball that did not require the reset of the shot clock when it showed more than 15 seconds remaining. When 15 or fewer seconds remained, the shot clock was set to 15. To improve its application, the rule now states that when 14 or fewer seconds remain on the shot clock, it will be set to 15 seconds. Furthermore, when the intentional kick occurs with 15 or more seconds, there shall be no reset of the shot clock. Nowhere in the NCAA rulebook is there mention of 10th's or 100ths of second in reference to the shot clock. If you see 14 reset it to 15, if says 15 or higher, don't reset it. Please, do not purposely clog a drain just to show off your plumbing skills. |
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Getting back to the thread, shot clocks are accurate to units, ie any measurement smaller than that is not valid. That is a consequence of the fact that 10ths are not available to us and we cannot know where between the integer values the timing device is. As for where the significant digits occur - if this concept was limited to decimals only it would be called significant decimals, not significant digits. Do you think that every measurement is accurate to tenths of units or better? |
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The shot clock is certainly not guaranteed to "measure" anything between 14 and 15. Surely the shot clock exists thru the time between 15 seconds and 14 seconds (as we do) but you have no standing to say the shot clock "measures" that time. And even if it did actually "measure" that time, how do we know what the measurement is? We don't, because 10ths of seconds are not available to us. IOW they are not valid for use in our measurement. |
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This whole discussion would go away if the rule simply said "If the shot clock displays 14 seconds or less, reset it to 15". |
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I'll try 1 more time then I'll give up. The shot clock does not display tenths of seconds and we have no way of knowing how it passes the time from 15 seconds to 14 seconds. And I mean that in a very real sense. For this very reason we have absolutely no standing to come to any conclusion on the measurement of time between 15 and 14. With me so far? Or do you want to stop to question what I mean by "weeds"? This idea is wrapped up neatly in a measuring technique that uses the concept of significant digits. There are ways to define what the accuracy of a measurement is, one way is to write the number that includes however many decimal places you know to be realiably measured*. When you say 14 you are saying it could be 14.0, 14.1, 14.2....or maybe even 13.9. When you say 14.0 you mean 14.0 - not 14.1 or 13.9. IOW (and I know this is gonna be tough so maybe read it 2 or 3 times...) 14 is NOT equivalent to 14.0. See? 14 could be 14.1 14.0 could NOT be 14.1. Since you admit you haven't thought about this since HS and you still to this day have no idea how it works I can understand why you are confused. But (by convention and practice) 14 seconds is not the same as 14.0 seconds. * Does not have to be decimals - when Micky D says they sold billions and billions, do you think they have the exact number sold down to a single burger? |
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Now listen closely...I'm gonna try and remain as calm as is humanly possible... BUT WE F'ING DON'T HAVE A MORE ACCURATE F'ING STOPWATCH!!!!!! OK, I feel better now.... Quote:
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They MIGHT be the same. OTOH they might NOT be the same. Not enough information in the first number to conclude. |
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There is obviously time that passes between the point at which a clock shows 15 and the point at which the clock subsequently shows 14. This is undeniable, regardless of how many significant digits you want to include. The kicked ball rule doesn't tell us what to do during that time. This is also undeniable. The rule would be clearer if it read, "If the shot clock displays 14 seconds or less. . ." This is the one and only point that I really wanted to make in this whole thread. So I'll be done now, too. (That's "too" with three significant letters. :) ) |
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Definative measurements (14.0) require definitive measuring devices (not possible with shot clocks as we know them). If a Stop Watch was used as a timer then stopping the device at exactly 14.0 would IMHO be equal to 14 otherwise how could you possibly tell.
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Kick Ball - Shot Clock
Additional information, "Last season, a rule change was implemented that did
not require the reset of the shot clock if it showed 15 or more seconds remaining. If 15 or fewer seconds remained, the shot clock was set to 15. To avoid confusion, the rule will now state that if 14 or fewer seconds remain on the shot clock, it will be set to 15 seconds." This is found or BR15 (NCAA Rules Book). - Donnie |
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