This is seen
at a logarithmic rate: the further you go past the designed point, the faster the failure occurs.
Not exact matches
The following chart compares on a
logarithmic scale monthly values of $ 1.00 initial investments in aggregated value and growth
at the end of August 2001.
The scatter plot below charts the amount of venture and debt capital raised by companies on a
logarithmic scale, and their corresponding valuations
at the time of the IPO or acquisition.
An extravagance is a positive number that can't be arrived
at by performing finitely many algebraic,
logarithmic, or exponential operations on earlier numbers.
«The Johnson - Lindenstrauss Lemma is a fundamental result in high dimensional geometry but an annoying
logarithmic gap remained between the upper and lower bounds for the minimum possible dimension required as a function of the number of points and the distortion allowed,» said Noga Alon, professor of Mathematics
at Tel Aviv University, who had proven the previous best lower bound for the problem.
Related paper: Calibration of the
Logarithmic - Periodic Dipole Antenna (LPDA) Radio Stations
at the Pierre Auger Observatory using an Octocopter The Pierre Auger Collaboration, 2017 JINST 12 T10005 [doi: 10.1088 / 1748-0221/12 / 10 / T10005][arXiv: 1702.01392]
The coverage (y - axis) achieved
at each position along the ∼ 8.2 kB XMRV genome (x-axis) is plotted on a
logarithmic scale.
In a recent calibration campaign
at the Pierre Auger Observatory, the directional and frequency characteristics of the radio stations equipped with
logarithmic periodic dipole antennas (LPDAs) have been determined using a remotely piloted octocopter.
Charts are
logarithmic, meaning that number values are spaced farther apart
at the top.
The
logarithmic graphs accentuate the panic and euphoria as it was felt
at the time.
Its worth thinking about the shape of a rising or falling market line, it usually isnt linear, but tends to roll off in a
logarithmic way, so you can get a good idea of momentum by just looking
at the shape of the curve.
Logarithmic, inflation adjusted, exponential... of a stock, bond, commodity, currency, a whole market, you name it, I am happy to peruse it intently and
at length.
I skimmed the section you refer to, and what they appear to be discussing is why the forcing response to increasing CFCs is linear, rather than
logarithmic as is true for CO2
at concentrations in the atmosphere we see today and will for the foreseeable future.
Yes of course — the main variation is that,
at any one moment in time, each unit increase of atmospheric CO2 has less radiative forcing than the last, following the
logarithmic proportionality discussed earlier.
How about this brutally simplified calculation for a lower bound of equilibrium temperature sensitivity: — there seems to be a consensus that transient t.s. < equilibrium t.s. — today, the trend line is a + 1 C (see Columbia graph)-- CO2 is
at 410, which is 1.46 * 280 — rise is
logarithmic, log (base2) of 1.46 = 0.55 — 1/0.55 = 1.8 — therefore, a lower bound for ETS is 1.8 C
At any particular frequency (wavelength), Beer's law does allow and call for eventual saturation in some conditions, which would not be logarithmic but rather asymptotic, and would occur when, at the point considered, photons reaching that point are being emitted from places all at the same temperature as at the point considere
At any particular frequency (wavelength), Beer's law does allow and call for eventual saturation in some conditions, which would not be
logarithmic but rather asymptotic, and would occur when,
at the point considered, photons reaching that point are being emitted from places all at the same temperature as at the point considere
at the point considered, photons reaching that point are being emitted from places all
at the same temperature as at the point considere
at the same temperature as
at the point considere
at the point considered.
That effect turns out to cancel out the
logarithmic behavior, giving you a nearly linear warming (
at least up to about 5000 gigatonnes total emissions).
In fact, the
logarithmic nature of the climate forcing due to CO2 is built into the radiative transfer used in all IPCC climate models, and has been taken into account in climate models
at least since the late 1950's.
Since CO2 has a
logarithmic correlation to temp, take a look
at what the Paris agreement would do to the actual temperature projections.
Rather than engaging in endlessly nitpicking, unproductive arguments over unknowns such as the
logarithmic exponent describing the almost nonexistent / nonexistent effect of carbon dioxide on temperature, and the «estimate» of CO2 sensitivity, let's look
at empirical evidence, and the big picture: CO2 is rising, and the planet's temperature is falling.
I want to look
at a few other methods of analyzing the data, for example a
logarithmic method of analyzing CO2 and taking out CO2 seasonality might allow use of the data without any moving averages.
Maybe because CO2 forcing is
logarithmic after all, and has very little effect
at this point.
Detrended correlation analysis in the sample period 1958 - 2015 shows the expected
logarithmic relationship between atmospheric CO2 concentration and surface temperature
at an annual time scale.
«Carbon dioxide's
logarithmic heating effect is weak
at 100 ppm, tuckered out well and truly
at 200 ppm and beyond 300 ppm — well never mind.
This may be something that comes out of the models if you feed them the right input, but it is poppycock if you look
at the likely CO2 growth rates and the
logarithmic CO2 temperature response (my previous post).
Any increase could be
at most
logarithmic, and this is also generally agreed by all sides.»
AGW is «driven» by the change in concentration of GHGs, supposedly in a
logarithmic relation
at the sort of levels we might see.
This is how he obtained his
logarithmic law for CO2 as the dominant non-vapor greenhouse gas, which has since been independently confirmed with the help of the absorption lines of CO2 listed in the HITRAN tables, which Arrhenius lacked
at the time.
The Volcanic Explosivity Index (VEI) is
logarithmic and so the eruptions that are on a scale of 5 or 6 are the only ones that really matter and there have only been
at most a dozen of those in the past 130 years.
Since water vapor contributes 95 % of the wrongly named «greenhouse effect» and since the increase in atmospheric carbon dioxide has a
logarithmic and declining effect, the variation in temperature
at the surface must be vanishingly small.
Research presented here and
at other credible locations has shown CO2's effect to be
logarithmic with possible offsetting by negative feedbacks rather than amplified greatly by positive feedback mechanisms.
That's very interesting; particularly since in human experimental terms; we haven't yet obseved even one half of one such doubling (in
logarithmic terms); and we have only one set of data that starts
at one specific place.
«The proportionality of warming to cumulative emissions depends in part on a cancellation of the saturation of carbon sinks with increasing cumulative emissions (leading to a larger airborne fraction of cumulative emissions for higher emissions) and the
logarithmic dependence of radiative forcing on atmospheric CO2 concentration [leading to a smaller increase in radiative forcing per unit increase in atmospheric CO2
at higher CO2 concentrations; Matthews et al. (2009)-RSB-.
At the surface the CO2 is also saturated which is why the line broading is so important and why the
logarithmic curve is so flattened after 250 ppm.
I think what is suggested that for a doubling of CO2 (say) the affect of the absorption is not linear, but
logarithmic, that is to say it diminishes in effect
at higher concentrations, (given a near saturated absorption).
Meanwhile, the
logarithmic effect of CO2 is excellent «concession» to make in the rhetorical sense, since it concedes the obvious state of our knowledge about the effects of CO2, while
at the same time providing us with the solid argument that even if we double atmospheric CO2 levels from 400ppm to 800 ppm over the next 100 years the largest amount of warming possible — assuming all else remains the same and Gaia has no homeostasis negative feedback systems which tend to moderate any runaway trends — is 1.2 c.
Once the central frequency of the absorption line is blocked the extra light blocked
at the neighboring frequencies becomes more important which is what leads to the
logarithmic dependance and ultimately to a square root dependance.
Yes
at the line center the absorption of CO2 is «saturated: — surface emission totally replaced by emission from the top of the ghg column but as the conc of the ghg increases, the line width increases so the ghg starts to absorb over a greater and greater range of wavelengths — this is the cause of the
logarithmic relationship between concentration and absorption.
At higher elevations, where the air is colder, this increase in moisture has a much stronger greenhouse effect, following a
logarithmic relationship.
Since the relationship between CO2 and temperature is
logarithmic,
at 3 deg C per doubling; that is the same thing as -3 degrees per halving.
Our results show that technological progress is forecastable, with the square root of the
logarithmic error growing linearly with the forecasting horizon
at a typical rate of 2.5 % per year.
Unless the linearity is an illusion and we are looking
at a segment of a sinusoid or
logarithmic curve or something similar.
UHI is
logarithmic to population, meaning small towns and cities have UHI growing
at a faster rate than large ones.
As we are now more than a third of the way towards a doubling of CO2, and given the
logarithmic response, we should already have seen
at least half of the effect.
It is also not some universal constant for doubling CO2, but rather is unique to the modern atmosphere and can change with different overlap with other gases, or even
at different CO2 concentration regimes (the
logarithmic forcing breaks down for example
at very low or very high concentrations).
This «S» shape goes away
at night not because evaporation is less powerful, but rather because the input (solar) has gone away and the natural rising takes on a more
logarithmic shape by depth where output is the only variable.
My «presentation» in that comment was an explanation of the flaw that I had found in the derivation of the IPCC's
logarithmic formula for radiative forcing from CO2 which you had suggested I look
at.
Following Arrhenius it is unlikely to be more than 0.6 because of the
logarithmic response to CO2 forcing — we've had 0.7 for 40 % in increase in [CO2] since 1900, so an extra 60 % will generate
at most 0.6 oC.