Sentence examples for mapping which approximately from inspiring English sources

A classical question in the theory of functional equations is "when is it true that a mapping, which approximately satisfies a functional equation, must be somehow close to an exact solution of the equation?".

A classical question in the theory of functional equations is that "when is it true that a mapping which approximately satisfies a functional equation must be somehow close to an exact solution of ?" Such a problem was formulated by Ulam [6] in 1940 and solved in the next year for the Cauchy functional equation by Hyers [7].

The following question posed by Ulam [1] in 1940: "When is it true that a mapping which approximately satisfies a functional equation E must be somehow close to an exact solution of E ?". Hyers [2] proved the problem for the Cauchy functional equation.

Summing up the above, the Ulam type stability problem is whether, for a given mapping which satisfies approximately a functional equation (or which satisfies a functional inequality), there exists an exact solution of the corresponding functional equation such that the preceding mapping is sufficiently close to this solution.

The profile of H3K27me3 accumulation in wild-type cells reveals that the boundary of the H3K27me3 hotspot maps to position 150,000, which approximately corresponds to the region of Tsix transcription termination as previously described [ 21].

The perimeters of 75 fires ≥4 ha were mapped, which were approximately 13% of the total number occurred but accounted for 95% of the area burned.

Here we employed BAC contig and RH mapping to construct a high-resolution physical map, which spans approximately 7.5 Mbp of chromosome 16 between markers D16S3080 and D16S408.

Based on the results of DNA fingerprinting, no gaps exist in the constructed BAC clone physical map which spans approximately 14 Mb genome region of ovine chromosome 20, indicating the even distribution of BAC clones in the library we previously constructed.

After filtering out low-quality reads, 104,766,790 high-quality reads remained, with an average trimming ratio of 99% (Fig. S1), of which approximately 62,040,984 (59.2%) mapped to the silkworm genome (KAIKObase) (Table 1).

In the present study, we identified more than 300 PHAS loci in this alga, of which approximately 240 were mapped to protein-coding genes.

Following the default parameters in the CLC Genomics Workbench, around 92.3% of reads per library was successfully imported, of which approximately 83.4% was mapped.