Sentence examples for projection of sets from inspiring English sources
Minwise hashing is a random projection of sets such that the expected Hamming distance of obtained symbol strings is proportional to the Jaccard similarity [ 24].
This is the pointclass obtained by taking projections of sets in Γ.
For each n such that 0 < n < ω, recursively define Π1n to consist of the complements of sets in Σ1n and Σ1n+1 to consist of the projections of sets in Π1n.
For each n such that 0 < n < ω, recursively define Π̰1n to consist of the complements of sets in Σ̰1n, and define Σ̰1n+1 to consist of the projections of sets in Π̰1n.
The results for this experiment are given in Fig. 5, where 5A shows the average spot counts per cell in each image for the different projection techniques, and in 5B the spot per cell enumeration is presented for the standard deviation projections of sets 3SlicesRandom1 to 5. With all the projection methods the spot count per cell increases over time, as previously reported in the literature [17].
These operations involve projections on sets of matrices with specific structural and spectral properties; the projections are performed iteratively and both algorithms exhibit similar complexity.
Let X i be the projection of a set X onto the the eigenvector e i.
Under this test, the null hypothesis states that all variables are exogenous while the alternative hypothesis states that insurance coverage is a linear projection of a set of instruments.
Starting with a large dimension dynamical system, which represents a projection of a set of coupled partial differential equations onto a basis function, we discuss the relative effectiveness of the time evolution approach, the test function approach, and the direct method.
The intersection between HHP and HHE for HPRD proteins became more significant as we took the projections of these sets onto the set of human proteins in KEGG pathways [see Additional file 4].
Also crucial at the time was the study of the analytic sets, namely the continuous images of Borel sets, or equivalently, the projections of Borel sets.
