Not exact matches
Pardon my ignorance, but we're now halfway through a doubling of CO2 since preindustrial times (the current 392 ppm divided by
sqrt (2) is 277 ppm, right in the 260 - 280 ppm range given by Wikipedia
for the level just before the industrial emissions began).
For a selected metrics of «yearly average», the result comes from 730 samples, such that the error in this average is about SQRT (730) = 27 smaller than the 1C individual error, or about 0.03 C. Therefore, for a given time period the slope of linear fit is a very precise characteristic at that particular locati
For a selected metrics of «yearly average», the result comes from 730 samples, such that the error in this average is about
SQRT (730) = 27 smaller than the 1C individual error, or about 0.03 C. Therefore,
for a given time period the slope of linear fit is a very precise characteristic at that particular locati
for a given time period the slope of linear fit is a very precise characteristic at that particular location.
That is,
for a desired error bound
for the year it is sufficient that the individual error bounds be
sqrt (n) larger.
In the simplest idealization,
for example, a linear spring with spring constant K attached to a perfectly rigid support at one end and a point mass M on the other will oscillate at a radial frequency
sqrt (K / M), or a pendulum of length L in a constant gravity field with acceleration g will oscillate about the equilibrium at a frequency of
sqrt (g / L).
That simplifies the discussion as then we can estimate \ (2 \ sigma \ approx 2 -LCB- \
sqrt -LCB- V / (N - 1)-RCB--RCB- \), where N is given by the number of uncorrelated Atlantic ocean areas between 20 ° N and 20 ° S. With a correlation length of ∼ 10 — 15 ° we obtain a rough estimate of N ≈ 12
for the tropical Atlantic sector.
For very large s this simplifies to k = y» / (sqrt (s) * y» ³), which tends to zero as s tends to infinity, while for very small s it becomes k = sy», which again tends to zero but this time as s tends to zero instead of infini
For very large s this simplifies to k = y» / (
sqrt (s) * y» ³), which tends to zero as s tends to infinity, while
for very small s it becomes k = sy», which again tends to zero but this time as s tends to zero instead of infini
for very small s it becomes k = sy», which again tends to zero but this time as s tends to zero instead of infinity.
Let me add to my previous comment that obviously — though not obviously enough
for me to previously notice --[
sqrt (n)-
sqrt (n - 1)-RSB- = 1 / [
sqrt (n) +
sqrt (n - 1)-RSB-
Also, if a constant volume is added each year, the ring width
for year n would be proportional to [
sqrt (n)--
sqrt (n - 1)-RSB-.
Instead, Trmse (Month i) = StDev (30 Daily Min + 30 Daily Max) /
sqrt (60) If we assume a flat constant avg temp of 10 deg C
for the month, coming from thirty 5 deg C min readings and 15 deg C max readings.
Multiplying the standard deviation by
sqrt (5) provides a crude adjustment
for the autocorrelation, bringing the standard deviation to 0.068 W / m ².