Explicit counter example: 2k in 4:30. First 1608m in 0:01, next 1m in 4:00, remaining 391m in 0:29. No consecutive interval of 1609m was completed in under 4:00
The correct statement is that you are mathematically guaranteed to have run a sub-4:00 mile if you have run a race of at least n miles in less than 4n minutes. So if someone ever runs a sub-12:00 5k, they will certainly have run a 4:00 mil en route, but even a 12:01 5k wouldn't be guaranteed to contain a sub-4 mile.
You strangely just made the same mistake that you were posting about.
The correct statement is that you are mathematically guaranteed to have run a sub-4:00 mile if you have run a race of at least n miles in less than 4n minutes. So if someone ever runs a sub-12:00 5k, they will certainly have run a 4:00 mil en route, but even a 12:01 5k wouldn't be guaranteed to contain a sub-4 mile.
You strangely just made the same mistake that you were posting about.
...Automorphism is correct.
A simple example: run two miles in under 8 minutes. If the first mile is completed in under 4mins, we're done. So assume it's completed in over 4mins, but then the second mile must necessarily be completed in under 4mins.
You strangely just made the same mistake that you were posting about.
...Automorphism is correct.
A simple example: run two miles in under 8 minutes. If the first mile is completed in under 4mins, we're done. So assume it's completed in over 4mins, but then the second mile must necessarily be completed in under 4mins.
No, automorphic conflated 3 miles and 5k into the same distance in their example. A 12:01 5k does indeed guarantee a sub-4 minute mile en route, by your very logic, because 3.1... * 4 minutes is roughly 12:24. They should have used a 12:01 3-mile in their example.
A simple example: run two miles in under 8 minutes. If the first mile is completed in under 4mins, we're done. So assume it's completed in over 4mins, but then the second mile must necessarily be completed in under 4mins.
No, automorphic conflated 3 miles and 5k into the same distance in their example. A 12:01 5k does indeed guarantee a sub-4 minute mile en route, by your very logic, because 3.1... * 4 minutes is roughly 12:24. They should have used a 12:01 3-mile in their example.
...No. Need to be integer multiples of a mile to guarantee.
Ex. run first 1608m in 0:01, next 1m in 3:59 and repeat this 3 times. Run final 173m in 1s. No consecutive 1609m stretch under 4.
WAS easily a 3:55 man. Quit this garbage talk about him breaking 4 now. 12:56 was THEN, not NOW.
Glad for you finding the Caps Lock, amazing
GlAd HeArTfOuNdAtIoN aPpReCiAtEs ThE vAlUe Of CaPs LoCk.
Too, bad, however, that, heartfoundation, doesn't, know, how, to, use, a, comma! (Should there be a comma instead of the exclamation point at the end of that sentence? Let us ask the Style Maven, better known as "heartfoundation".)
Too bad, also, that heartfoundation doesn't use a period at the end of a sentence.
OK, let me commend heartfoundation on nice sentence structure...NOT. (But was the person addressing a comment to someone named "amazing"?)
Truthfully, everything the person wrote is commendable...that is, if he or she has attempted to write English as a second language. Bad if English is his or her primary language. (Eye can onlee write tin one language - English.)
Some on LRC will, no doubt, insist that heartfoundation must have gone to the University of Oregon, not Stanford or Hahvud...or to no higher educational facility at all. Or maybe heartfoundation has the education level of Jethro Bodine of the Beverly Hillbillies, who done graj-jee-ated sixth grade. (Let me apologize to anyone I may have offended by my addition of a period at the end of that sentence, and to the ends of my other sentences.)
AGE isn't Dathan Ritzenhein's ENEMY in writing a sub-4 SENTENCE (with less than 4 COMMAS), but his decrepit (yeah, it's a hyped word here) AGE as a runner is a major FACTOR to consider in any TALK about a sub-4 MILE.