Sentence examples for element in the range of from inspiring English sources

Given a non-self mapping S : A ⟶ B, where A and B are non-empty subsets of a metric space, the equation S x = x does not necessarily have a solution because of the fact that a solution of the preceding equation constrains the equality between an element in the domain and an element in the range of the mapping.

Limited similarity with a retrotransposon element (in the range of 50 60%; Additional file 7: Figure S5) of Vitis vinifera and other species suggests that a retrotransposable element might have been moved from the nuclear genome into the mitochondrial and then into the plastid genome, or directly and independently from the nuclear genome to plastid and mitochondrial genomes.

Elements in the range of cl are said to be closed; those in the range of int are said to be open.

In a general Banach algebra ℬ it is difficult to determine the elements in the range of the exponential map exp ( B ), i.e. the element which have a 'logarithm'logarithm

The accuracy can be considered satisfactory, being for most elements in the range of ± 10% of the reference values; a good precision has also been obtained in most cases.

Dealing with elements in the range of biologically active structures, there is an overlapping field in nanobiotechnology, although the communities are rather separate [35].

Cortical shell (bone), endplate, and annulus fiber layers were modelled by triangular shell elements (M3D3) with element side in the range of 1 mm to 3 mm, and ligaments were modelled as narrow strip-shaped membrane elements (M3D3) under the control of no resistance in compression by the user-subroutine in ABAQUS (Ver. 6.5-1).

Doping element concentrations in the range of few hundreds part per billions (ppb) and trace elements in the ppb or sub-ppb concentration range are typically present in multicrystalline silicon wafers for solar cells.

The obtained results demonstrate that the thermal stability of the coating microstructure is sensitive to variations in major element contents in the range of just a few percent.

Elements removed in the range of 50 75% were uranium, antimony, copper, lead, molybdenum, chromium, barium, iron and gallium.

Models in which shared environmental effects were excluded did not show a significant deterioration in fit to the data for any element, although effects in the range of 10 25% could not be excluded.