Not exact matches
The mathematical symmetries of the
resulting equations predict three families of particles, as described by the standard
model of physics, though the third family would behave a bit differently.
Its a coupled implicit nonlinear system, and you have to
model it and solve the
resulting equations.
Chris C — In reviewing Raypierre's chapter, I note that he introduced his
equations using a grey gas
model, but my point was that he then applied the
results to our own atmosphere.
The AGW «concernist's»
models, based on the GCM, has to simplify their
equations in order to «fit» their expected
results — AKA: garbage in == garbage out!
John, There has been extensive work
modeling fluids using the Boltzman
equation and the
results are in good agreement with Navier - Stokes continuum simulations.
I know absolutely that many FEA runs using exact «perfect» data on a «perfect» crystal or pure piece of metal machined exactly per the
model dimensions under loads exactly as described by the
modeled equations will yield (on average)
results similar to the average of many
model runs.
I had little confidence that the
equations / parameters were the best ones to represent the atmosphere but know that by continually tweeking and tweeking, it
resulted in the changes which moved my
model in the right direction and finally showed what it was supposed to show, to get the
result we needed to pass.
In the
model, a series of
equations represents world economic activity, the CO2 levels that activity generates, and the impact of the
resulting CO2 levels.
so if I am reading it correctly the
equation is based on the
result of climate
models.
They can't even predict the next decade, much less ten decades; despite tuning they only poorly replicate the historical climate; their
equations can't be shown to converge; the number of tunable parameters is far too large for comfort; they show absolutely no skill at regional scales; their
results for things they are not tuned to replicate (e.g. rainfall) are abysmal — in short they are glorified Tinkertoy ™
models which have one common characteristic... they don't work well.
The 1 - D climate
model uses physically based
equations to determine changes in the climate system as a
result of changes in solar intensity, ice reflectance and greenhouse gas changes.
This spread
results because the
model equations provide a deterministic set of
results that each can be different since the climate is a chaotic nonlinear system both in the
model, and even more so in the real world.
I have literally had to write out differential calculus
equations proving that the Earth can be
modeled as a sphere, and with real - time power from the Sun, and that it makes things very hot, and that this produces wildly different
results than a flat Earth requiring the invention of a greenhouse effect.
In contrast with ACR's 2010 methodology for N2O Emissions Reductions from Changes in Fertilizer Management, which incorporates site specific data into a peer - reviewed, tested and highly parameterized computer
model to calculate N2O emission reductions
resulting from changes in how fertilizer is applied and used, the MSU - EPRI methodology is based on empirical
equations and NCR data to set conservative estimates for emission reductions.
What produced Lewandowsky's
result is a statistical technique called structural -
equation modelling (SEM).
In a system such as the climate, we can never include enough variables to describe the actual system on all relevant length scales (e.g. the butterfly effect — MICROSCOPIC perturbations grow exponentially in time to drive the system to completely different states over macroscopic time) so the best that we can often do is
model it as a complex nonlinear set of ordinary differential
equations with stochastic noise terms — a generalized Langevin
equation or generalized Master
equation, as it were — and average behaviors over what one hopes is a spanning set of butterfly - wing perturbations to assess whether or not the
resulting system trajectories fill the available phase space uniformly or perhaps are restricted or constrained in some way.
The
equation of the
model can be modified to allow for air resistance and the
resulting equation can be solved numerically.
Isn't that much like assigning «chaotic looking» calculated
results to relativistic effects when the fundamental
model equations used in the calculation do not include relativistic effects.
Simply using the calculated age factor in the multiplicative
model equation will give wrong
results for the climate factor for those trees.
If the
model results of temperature and humidity profile vertically though the atmosphere were not correct then this would definitely affect the accuracy of the radiative transfer
equations.
It's also the case that the
results for the radiative transfer
equations will have a certain amount of error using «band
models» compared with the «line by line» (LBL) codes for all trace gases.
The radiative transfer
equations as part of the
modeled results have done a pretty good job of explaining the observed
results but aren't exactly the same.
Miskolczi has inserted the simple
result into the general
model, which means, at best, it can only be applied to a «grey» atmosphere in radiative equilibrium, and at worst he has just created an
equation soufflé.
Dr Miskolczi has two
equations which describe the
result of applying conservation of energy to the Earth and the atmosphere, the two entities in his simple
model.
The analytic form of TOPMODEL
equations are incorporated into the soil column framework and the
resulting model is used to predict the saturated fraction of the watershed and baseflow in a consistent fashion.
The
results of mediation analysis using structural
equation modeling showed that maternal problems in reciprocal social behavior directly increased infantile aggression (estimate = 0.100, 95 % CI [0.011, 0.186]-RRB-, and indirectly increased infantile aggression via maternal postpartum depressive symptoms (estimate = 0.027, 95 % CI [0.010, 0.054]-RRB-, even after controlling for covariates.
In fact, one study found that social anxiety fully mediated the relation between behavioural inhibition and depression.53 Similarly, other studies, 54 revealing associations between behavioural inhibition and anxiety and depression employed structural
equations modeling which found that a pathway in which behavioural inhibition
results in anxiety, which in turn leads to depression, provided the best fit for the data.
RESULTS: Structural
Equation Modeling revealed affective and cognitive trust in coworkers is influenced by leader - member exchange.
Results from the structural
equation modeling indicated that mother's insecure adult attachment is an important determinant of maternal psychological control.
Results from a series of structural
equation models, with a constructed latent variable of school attachment, using a national longitudinal study of over 9,000 U.S. adolescents and their subsequent... career choices in their late 20 s, reveal a pattern of entrepreneurial development.
Results from a series of structural
equation models, with a constructed latent variable of school attachment, using a national longitudinal study of over 9,000 U.S. adolescents and their subsequent
Results from structural
equation modeling revealed that work — family conflict was significantly and negatively related to marital satisfaction.
Because of skewness and the ordered categorical nature of our variables, we estimated α within a structural
equation model framework, which
resulted in higher α coefficients.20 Our ω reliability analyses yielded
results consistent with previous studies reporting ω reliabilities for preschool and school - age SDQs.9, 16
Results from structural
equation modeling indicated that self - esteem partially mediated the relation between self oriented perfectionism and behavioral self - handicapping.
Results of structural
equation modeling (SEM) suggested that externalizing symptoms mediated the relationship between gender and adherence.
Structural
equation modeling (SEM) allows for the simultaneous examination of the relationships between latent constructs defined by multiple measures as well as directly observed variables (e.g., gender, HbA1C) while reducing the effect of measurement error on
results.
The
resulting structural
equation model provides further support for the revised theory of cognitive adaptation.