What is the record for consecutive days running while adding at least one mile?
i would imagine 2 weeks would be pretty difficult, 3 really difficult and a whole month might never have been done before?
What is the record for consecutive days running while adding at least one mile?
i would imagine 2 weeks would be pretty difficult, 3 really difficult and a whole month might never have been done before?
There are people who run 50 miles a day for months.
Interesting concept. Yeah, I would start to fall apart near the end of week 3. If you start with 1 mile, here's what you get:
Week 1: 28 miles
Week 2: 77 miles
Week 3: 126 miles
Week 4: 175 miles
Week 5: 260 miles
consecutive runner wrote:
What is the record for consecutive days running while adding at least one mile?
i would imagine 2 weeks would be pretty difficult, 3 really difficult and a whole month might never have been done before?
I did it for an infinite number of days and somehow ran -1/12 miles
Correction - Week 5 would "only" have 224 miles. Only goes up by 49 miles a week. Isn't that what Lydiard's plan called for back in the day?
crete wrote:
consecutive runner wrote:
What is the record for consecutive days running while adding at least one mile?
i would imagine 2 weeks would be pretty difficult, 3 really difficult and a whole month might never have been done before?
I did it for an infinite number of days and somehow ran -1/12 miles
At least you broke every record at every distance along the way
How about doing it as an up/down thing?
1, 2, 3, ..., n, n-1, n-2, ..., 3,2,1
Solve for n.
n=25 has a peak mileage of 163 miles surrounded by a pair of 126 mile weeks. Rough.
crete wrote:
consecutive runner wrote:
What is the record for consecutive days running while adding at least one mile?
i would imagine 2 weeks would be pretty difficult, 3 really difficult and a whole month might never have been done before?
I did it for an infinite number of days and somehow ran -1/12 miles
Math humor lolz
There are three men who have ran at least one mile a day for over 45 years now.
There is an organization that keeps track of the runners and their streaks. It's called the USRSA.
Look it up on the internet. There are many people who have streaks longer than 20 years.
For most of the runners this means continuing to run with a broken bone!
waltertompatton wrote:
There are three men who have ran at least one mile a day for over 45 years now.
There is an organization that keeps track of the runners and their streaks. It's called the USRSA.
Look it up on the internet. There are many people who have streaks longer than 20 years.
For most of the runners this means continuing to run with a broken bone!
How is this relevant?
crete wrote:
consecutive runner wrote:
What is the record for consecutive days running while adding at least one mile?
i would imagine 2 weeks would be pretty difficult, 3 really difficult and a whole month might never have been done before?
I did it for an infinite number of days and somehow ran -1/12 miles
Will diverge by the series divergence test
Lim when n--> inf of (n + n +1) = inf
At least I think so. Has been a while since Calc .
Eventually you won't be able to cover 'n' miles in 24 hours. Since the 24 hour record is 188 miles, that must be the upper bound. Fatigue will make the actual limit much lower than that, but I'd reckon that no one has ever tried it before. If you want to extrapolate, the 1000 mile record is something like 10 days, so people have strung together entire weeks of ~100 mile days, thus I'd expect it to be possible for someone to get up to n = 80ish.
It does diverge in the classical sense.
The Riemann zeta function Z(x) is the sum from n=1 to infinity of n^(-x). Z(-1) is the sum of the integers 1+2+3+4+... and it is the function that you play with to derive this result.
What happens here is that you can use a process called analytic continuation to find a formula for the Zeta function that agrees with the sum in the right areas in the right ways, and if you do it a certain way the formula you derive gives Z(-1)=-1/12. This is really a trick that's only possible because that sum diverges, and telling a mathematician that the sum of integers is -1/12 will get you many a dirty look.
There are areas in string theory where that continuation becomes useful actually.
Pete Kostelnick averaged something like 70 miles a day for 40-45 days running across the USA. 42 days would be 6 weeks.
that's 28 - 77 - 126 - 175 - 224 - 273. chump change for this guy, you haven't even averaged 40 miles per day yet!
he ran weeks of 451, 500, 501, 513, 509, 508 before a casual 90 mile 7th week (one 87mi run and a 3mi jog after a little time off)
This is why I like letsrun. Come here to read some running nonsense about adding a mile a day to a run and get the formal maths equation along with links for further explanation.
Thank you for posting, these discussions educate and inspire. The next Einstein could be toiling away trying to break 9:30 and stops by for some training tips, stumbles across this post and has an AH-HA! moment.
ThatAverageRunner wrote:
waltertompatton wrote:
There are three men who have ran at least one mile a day for over 45 years now.
There is an organization that keeps track of the runners and their streaks. It's called the USRSA.
Look it up on the internet. There are many people who have streaks longer than 20 years.
For most of the runners this means continuing to run with a broken bone!
How is this relevant?
I provided the OP and LRC with relevant information. What did you contribute?
waltertompatton wrote:
ThatAverageRunner wrote:
How is this relevant?
I provided the OP and LRC with relevant information. What did you contribute?
Once again, your information is not relevant, Walter.
ThatAverageRunner wrote:
waltertompatton wrote:
I provided the OP and LRC with relevant information. What did you contribute?
Once again, your information is not relevant, Walter.
Sure, sure...I bet you already knew about the USRSA.
waltertompatton wrote:
ThatAverageRunner wrote:
Once again, your information is not relevant, Walter.
Sure, sure...I bet you already knew about the USRSA.
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