Assume that the particular density functions can be expressed in powers of parameter h by the Taylor formula.
Rename ' t n ' to 't' and suppose that the particular density functions can be expressed in powers of parameter h by the Taylor formula.
Similarly, decomposition of the particular density functions in (10) gives the second equation ∂ f 2 ( t, x ) ∂ t = − a 2 ∂ ∂ x ( x f 2 ( t, x ) ) + λ f 1 ( t, x ) − ν f 2 ( t, x ).
The E m in Definition 2 denotes an m-dimensional Euclidian space, functions f k ( t, x ), k = 1, 2, …, q are the particular density functions of the random variable x.
For our examples, log-logistic probability density functions were used in the Bayesian treatment, but our approach is not restricted to this particular probability density function.
6, 7 The difficulties inherent with standard quantal visual scale methods relate to the accurate placement of a particular density of immunostaining into a specific category, as this process is relatively subjective and requires a number of assumptions.
At any particular density there is far more neutral hydrogen available for cooling than C+.
Once the Met Office assigns a particular density of ash to a section of airspace, airlines must prove they have the safety case to fly through it.
Water mass, body of ocean water with a distinctive narrow range of temperature and salinity and a particular density resulting from these two parameters.
And whether the prison sprawls over thousands of acres like the penitentiary farms of the Deep South, or compresses its convicts on tight tiers, the air within holds a particular density, a palpable weight created not only by the crimes the inmates have committed but also by the ownership we have taken of the convicts, whether we acknowledge it or not.
I have very little confidence in the ability of planners to understand what a particular density is accomplishing and whether the "interactions facilitated" by shorter buildings either exist or are large enough to offset the higher real-estate and labour costs to which they contribute.
