Hi,
I am more of a language student and not a math student so I am really struggling with some math equations. I am trying to understand an article with a decay formula for ancient Hebrew (my area of study) and plotting word frequencies on a log graph but I can't make sense of what the author is saying. this is his formula:
f2c(r, t) = A2cf0(r)exp[-k(f0(r))t]
t = 7.8 kyr andA2c=3.
k(f0)=B/(3.27f0)β
B = 0.55 kyr-1 and β = 0.13
some of the items I understand like 2c = the type/item (biconsonantal roots), t = time, r= rank, and I believe exp = exponential logarithm (?)
So using the most frequent word in this category (3576 occurrences, rank 1) I try to do it as:
k(3576)=B/(3.27*3576)β
k(3576) = 1.818181818/(3.27*3576)β
k(3576) = 1.818181818/(11693.52)β
k(3576) = 1.818181818/3.379347744
k(3576) = 0.5380274407
If I did this right (which I am not sure if I did) then I think I plug it into the first equation under k?
f2c(1, 7.8) = A2c(3576)(1)exp[-.5380274407(3576(1))7.8]
BUT exp[−15007.0918]= 0???
I have no idea what I am doing wrong here.
However, overall I have tried to input some of his data and get his answers but I can't seem to make that happen. Could someone give me a key to what the letters are asking for or even just 1 example with the numbers filled in so I can see what they are doing? If I could get the equation right 1 time, then I would know what to fill in for each number and can understand the calculation.
This is the full article: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0083780
Any help would be greatly appreciated! I am driving myself nuts trying to figure out what they are doing!
Thank you,
Nick
I am more of a language student and not a math student so I am really struggling with some math equations. I am trying to understand an article with a decay formula for ancient Hebrew (my area of study) and plotting word frequencies on a log graph but I can't make sense of what the author is saying. this is his formula:
f2c(r, t) = A2cf0(r)exp[-k(f0(r))t]
t = 7.8 kyr andA2c=3.
k(f0)=B/(3.27f0)β
B = 0.55 kyr-1 and β = 0.13
some of the items I understand like 2c = the type/item (biconsonantal roots), t = time, r= rank, and I believe exp = exponential logarithm (?)
So using the most frequent word in this category (3576 occurrences, rank 1) I try to do it as:
k(3576)=B/(3.27*3576)β
k(3576) = 1.818181818/(3.27*3576)β
k(3576) = 1.818181818/(11693.52)β
k(3576) = 1.818181818/3.379347744
k(3576) = 0.5380274407
If I did this right (which I am not sure if I did) then I think I plug it into the first equation under k?
f2c(1, 7.8) = A2c(3576)(1)exp[-.5380274407(3576(1))7.8]
BUT exp[−15007.0918]= 0???
I have no idea what I am doing wrong here.
However, overall I have tried to input some of his data and get his answers but I can't seem to make that happen. Could someone give me a key to what the letters are asking for or even just 1 example with the numbers filled in so I can see what they are doing? If I could get the equation right 1 time, then I would know what to fill in for each number and can understand the calculation.
This is the full article: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0083780
Any help would be greatly appreciated! I am driving myself nuts trying to figure out what they are doing!
Thank you,
Nick