Issues remain over the proper treatment of thermobaricity (
nonlinear relationship of temperature, salinity and pressure to density), which means that in some isopycnic coordinate models the relative densities of, for example, Mediterranean and Antarctic Bottom Water masses are distorted.
Not exact matches
The kinds
of nonlinear relationships needed to give multiple steady states are common in physical, chemical, biological, and social interactions.
Although the CIs cross zero for incidence
of type 2 diabetes mellitus, premenopausal ovarian cancer, and premature deaths, the associated costs are statistically significant because
of the
nonlinear nature
of these
relationships.
A summary
of the studies, released last month, warns
of a
nonlinear relationship between the strength
of future storms and potential losses, which stand to grow even if the worst predictions about hurricanes aren't realized.
They converted those
relationships into a coupled pair
of nonlinear differential equations.
«To predict the effects this type
of deforestation has on the
relationship between rain forest and the savanna — and on the local and global climate — it's necessary to understand how the transitional forest evolves in time and reacts to disturbances,» explained Yannick De Decker, associate professor at the Center for
Nonlinear Phenomena and Complex Systems, as well as the
Nonlinear Physical Chemistry Unit at ULB.
Such topics include time - resolved, coherent and non-linear Raman spectroscopies, nanostructure - based surface - enhanced and tip - enhanced Raman spectroscopies
of molecules, resonance Raman to investigate the structure - function
relationships and dynamics
of biological molecules, linear and
nonlinear Raman imaging and microscopy, biomedical applications
of Raman, theoretical formalism and advances in quantum computational methodology
of all forms
of Raman scattering, Raman spectroscopy in archaeology and art, advances in remote Raman sensing and industrial applications, and Raman optical activity
of all classes
of chiral molecules.
Figure 5 shows this phenomenon
of the classic hyperbolic paradigm, ie, the
nonlinear inverse
relationship between the 2 processes.
In contrast to a number
of phenological studies showing
nonlinear relationships between phenology and temperature, due largely to unmet chilling and photoperiod requirements, our findings demonstrate the
relationship to be linear and to explain most
of the variation in flowering.
Three Wives resembles All About Eve in its uses
of a
nonlinear narrative, a large intertwined cast, and compelling
relationships defined by sharp dialogue.
A musical theater version
of Blue Valentine, adapting writer / director Richard LaGravenese's The Last Five Years intimately explores a
relationship from its grinning beginning through a devastating end, albeit with
nonlinear retrospect.
Experiments can not faithfully represent a real world characterized by multivariate,
nonlinear (and often reciprocal) causal
relationships Moreover, few education researchers have much difficulty detailing contingencies likely to limit the effectiveness
of a proposed reform that were never part
of a study's design.
However, artists continue to find that the
nonlinear structure
of hypertext makes for productively fluid
relationships among artists, characters, and audiences.
Her colorful and chaotic compositions are results
of active and
nonlinear processes
of accumulating, arranging, reusing and reworking layers
of visual material that expose / amplify the connections and
relationships between works
of art and their physical and social contexts.
(a condition which tends to be satisfied for a doubling
of CO2, unless the temperature variation is sufficiently compressed toward L, analogous the cases discussed in 15.3 a with c larger than 1 except for the
nonlinear relationship between the intensity or flux and the BT — and preexisting non-CO2 CDS will actually make it harder for ΔBTc0 to be larger relative to BTc0i),
The dependence
of sliding on basal friction is a key unknown:
nonlinear relationships favour higher contributions.
In the long term, forward, process - based models
of proxy formation are needed for explicitly representing multivariate,
nonlinear, and potentially nonstationary
relationships between the proxy and climate systems [Evans et al., 2013].
One can think
of there being a
nonlinear but exact functional calibration curve
relationship s14C = c (ti) between calendar year ti and a «standard» 14C age s14C, but with — for each calendar year — the actual (true, not measured) 14C age t14C having a slightly indeterminate
relationship with ti.
I find myself a little surprised that use
of a non-informative prior is not a standard practice for
nonlinear parameter
relationships.
However, the key point about radiocarbon dating is that the «calibration curve»
relationship of «true» radiocarbon age t14C to the true calendar date ti
of the event corresponding to the 14C determination is highly
nonlinear.
Two types
of nonlinear model — both one - sided GEV regressions where linear
relationships are allowed to differ above / below a Niño3.4 index threshold — are considered.
Optimum Niño3.4 breakpoints are positive (> +0.4 °C) in the majority
of the
nonlinear models, confirming that ENSO / precipitation
relationships differs between La Niña / neutral and El Niño winters.
And, through a transformation
of state variables, you can reduce the expansion to a smaller set
of ODEs, with a
nonlinear relationship for the observable, with well separated resonant frequencies in the model.
In general, it is striking that climate
relationships for dust fluxes spanning the globe and five orders
of magnitude (Fig. 3D) appear to follow similar
nonlinear relationships with greatly enhanced fluxes for extreme glacial temperatures.
Blowers et al. (10) have examined the GWPs
of hydrofluoroethers (HFEs) and noted that their radiative forcing values increase with an increasing number
of C ─ F bonds, but they assert a linear
relationship between the radiative forcing and the number
of C ─ F bonds, rather than the more complicated,
nonlinear relationship found in our study.
Finally, to examine possible threshold and
nonlinear relationships that might cut across current overweight and obese cut points, locally weighted regression techniques were used to generate lines
of best fit for the
relationships between BMI z scores and PedsQL total, summary, and subscale scores that differed significantly by weight category; P <.05 was considered significant.
IRT is a family
of associated mathematical models that relate latent traits (ability) to the probability
of responses to items in an assessment, and it has been widely used in health assessment.37, 38 It describes a
nonlinear relationship between binary, ordinal or categorical responses and the latent trait (mental / behavioural problems in this study).
Manusov and Milstein (2005) refer to the ability to evoke change as the «transformational quality»
of nonverbal cues, and such a conceptualization is consistent with Andersen's (2008) claim that nonverbal cues in
relationships can be «capricious and
nonlinear» (p. 207) as they play out in the complexities
of real life.