In general, the preferred values of each unit could be set arbitrarily, but we set them in a regular fashion such that the population defines a grid in stimulus space (one-, twor, or three-dimensional depending on the dimensionality of the DNF).
The expression summarization is multi-dimensional depending on the user defined data type, which includes probeset, exon, spliced variant or gene.
Computer animation techniques not only saves labour and money, but it also gives the producer the option of applying the technique in either two dimensional (2D) or three dimensional (3D), depending on the given time frame, scenario and content.
These RIPC algorithms can automatically track the principal components and reduce the computational complexity significantly by transforming the generalized eigen-problem in an original high-dimensional space to a lower-dimensional space depending on the number of desired principal signals.
So-called geometry free GPS measurements provide information on the electron density, which is basically a four-dimensional function depending on spatial position and time.
Hence, geometry-free GNSS measurements provide informations on the electron density, which is basically a four-dimensional function depending on spatial position and time.
Then the STEC is transformed into the vertical total electron content (VTEC), which is a three-dimensional function depending on longitude, latitude and time.
We have observed the self-assemble growth of the MT molecules on the patterned Si surface such that the MT molecules have grown into rod or ring type three-dimensional nanostructures, depending on the patterned nanostructures on the surface.
The hybrids were prepared by combining 70% poly (vinyl alcohol) and 30% bioactive glass (58SiO2 33CaO 9P2O5, BaG) via sol gel route using foaming-casting method producing different macroporous tri-dimensional scaffolds depending on the degree of network crosslinking.
In the vicinity of the nonresonant Hopf bifurcation, the oscillator may exhibit the initial equilibrium solution, two periodic solutions as well as a quasi-periodic solution on a two-dimensional torus, depending on the dummy unfolding parameters and nonlinear terms.
The amount of left-lateral slip, equivalent to the stress drop on the fault, is obtained by using the relation, Δτ = CµU/W, where U is the average slip on the fault, W is a fault width, C is a non-dimensional constant depending on the shape of the fault and slip direction, and µ is the shear modulus.
