Sentence examples for functions on the surface from inspiring English sources
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.
Heteropolyanions (polyoxometalates) can be deposited to form ordered monolayers that permit site-by-site mapping of chemical functions on the surface, as well as characterization of redox properties of individual molecules by tunneling spectroscopy with the scanning tunneling microscope.
Akin to subdivision surfaces, singularly-parameterized functions on the surfaces are straightforward to refine.
The dislocation solutions are utilized to formulate integral equations for dislocation density functions on the surfaces of smooth cracks.
But now they are making a comeback in the form of novel twists on combinatorial techniques.Complex sugars, for example, perform various functions on the surfaces of living cells, and play a role in diseases such as viral infections and cancer.
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.
