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The method uses a chosen error function on the surface mesh to select a reduced subset of the surface points; this subset contains a sufficiently small number of points so as to make the volume deformation fast, and a correction function is used to correct those surface points not included.
Thus can be interpreted as the mean value of the function on the surface of a -dimensional sphere with radius.
The wave-like character of the exact equations of motion depends on the positivity of the operator which assigns to a function on the surface the normal derivative of its harmonic extension; similarly, the stability of the scheme depends on maintaining this property for the discrete operator.
The importance of the internal plasminogen binding motif of α-enolase (IPM) for this virulence related function on the surface of S. pneumoniae has been demonstrated unequivocally in experiments with synthetic peptides, recombinant protein variants and mutated bacterial strains [22], [24].
This is perhaps a timely pursuit in light of the new paradigms of membrane structure and the importance of understanding the mechanisms by which the CTT serves as a determinant of HIV-1 Env structure and function on the surface of virions and cells.
The fact that these molecules previously have been shown to be integral for the maintenance of stem cell niches in other organ systems [ 31, 35, 71, 76, 77] indicates that they are likely performing a similar function on the surface of the ovary between ovulations.
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In these works, the required spatial derivatives are computed by the formal differentiation of one-dimensional Fourier series approximations to both scalar and vector functions on the surface of the sphere.
Thus, a single integer controls whether the functions on the surface are rational, elliptic, or something else.
Our data establish an intriguing physicochemical mechanism whereby a bacterially-produced exoenzyme functions on the surface of another kingdom to directly mediate drug tolerance.
Firstly, a tetrathiol-hexynyl derivative was used to introduce alkyne functions on the surface.
The dislocation solutions are utilized to formulate integral equations for dislocation density functions on the surface of smooth cracks embedded in the half-plane under in-plane loads.
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