Sentence examples for lower inverse from inspiring English sources

Given a map, the map defined by for all, is called the (lower) inverse of.

For any subset of, the upper inverse and the lower inverse are defined by and, respectively.

The lower inverse of a point y ∈ Y of a set-valued map T is the set-valued map T l of Y into X defined by T l ( y ) = { x ∈ X : y ∈ T ( x ) }. Analogously, lower inverse of a subset of B ⊂ Y is defined as T l ( B ) = { x ∈ X : T ( x ) ∩ B ≠ ∅ }.

F is weakly measurable if F l ( A ) ∈ T for each open subset A of Y (the lower inverse F l, also called the weak inverse, of a subset A of Y is defined by F l ( A ) = { x ∈ A : F ( x ) ∩ A ≠ ∅ } ).

In RRMS patients, higher Ins concentrations were associated with worse walking performance, as measured by TWT: there was an increase in Ins concentration of 17.08 mmol/l per unit of lower inverse TWT (in 1/s) [RC (95% CI) −17.08 −31.955, −2.22), P = 0.024].

For a superharmonic multifunction (F:(X,tau rightarrow(Y,sigma)), the upper and the lower inverses of any (Bsubseteq Y) are given by F^ (B =bigl{ xin X:F x)subseteq Bbigr} and F^(B =bigl{ x in X:F X cap B nephibigr}, respectively.

For a harmonic multifunction (F:(X,tau rightarrow(Y,sigma)), the upper and lower inverses of any (Bsubseteq Y) are given by F^ (B =bigl{ xin X:F x)subseteq Bbigr} (2.2) and F^(B =bigl{ x in X:F X cap B nephibigr}, (2.3) respectively.

It is likely that vancomycin treatment alters the permeability of the cell wall and membrane regions, so that the lowered inverse RC time constant of the system enables DEP crossover at earlier frequencies, as observed for the NTCD and LTCD strains.

As shown in the figure (middle and lower panel), the inverse correlation was detected regardless of the presence or absence of gallstone disease.

First, biologically, any three mutations in one replication cycle occur with a probability of ∼10−15, which is orders of magnitude lower than the inverse of the number of virions.

Since the peak power frequency of a single-cycle bipolar sine wave is slightly lower than the inverse of the wave's duration, we used Welch's power spectral density in Matlab to compute the power spectrum of each single-cycle sine wave.