Sentence examples for basis consisting of from inspiring English sources
Assume $X$ has a basis consisting of quasi-compact opens.
A probability measure in Rd is called a spectral measure if it has an orthonormal basis consisting of exponentials.
The MRA relies on an orthogonal projection of uncertain data and solution variables onto a multi-wavelet basis, consisting of compact piecewise-smooth polynomial functions.
The other solution, designed for the class of graphs with cycle basis consisting of cycles of length at most l, leads to O |F|Δ⌈l/2⌉log(|F|Δ⌊l/2⌋)) running time.
For a selfadjoint operator function we study the existence of a Riesz basis consisting of eigenvectors if not for the whole space then at least for the closed linear span of all the eigenvectors.
Moreover, (L^2(mathbb R^d)) has an orthonormal basis consisting of eigenfunctions of (overline{A}).
The experimental basis consists of measurements of pressure fluctuations and gas mixing by tracer-gas injection.
Its conceptual basis consists of solving the position with pseudo-range and carrier-phase GNSS measurements, with the application of external clock and orbit satellite corrections, previously estimated signal biases and atmospheric models computed in the International GNSS Service or Analysis Centers.
The data basis consists of 5-minute values of global and diffuse horizontal illuminance, global and diffuse horizontal irradiance, zenith luminance and solar altitude as well as of daily values of sunshine duration for 5 years for Athens and 8 years for Bratislava.
Your $19 gain over your cost basis consists of $10 of long-term capital gain (taxed like the gain on any other stock's appreciation) plus $9 of recapture (which results in $7.20 of income taxed at ordinary-income rates).
The minimum set of sub-models for simulating stand dynamics on an individual-tree basis consists of tree-level models for diameter increment and survival.
