Sentence examples for be defined by setting from inspiring English sources

Let (F^:[0,a]times(mathbf{R}^{n})^{k}to2^{X}) be defined by setting F^ t,xi )= textstylebegin{cases} F t,xi )& mbox{if }xi in B^{k}, X & mbox{if }xi notin B^{k}.

Łukasiewicz negation $\osim $ is defined by setting $f_{\osim } u) = 1- u$.

The edge of the brain tissue region on each summed sinogram was defined by setting a threshold value.

One important special case of achievable weighted sum rate maximization is MT, which is defined by setting μc(i),l to a constant of 1 for all users.

In general, an approximation (u_{n, i+1}) for ((n+i+1))st multilevel solution is defined by setting u_{n, 0} = u_{n}.

Traditionally, motor primitives are defined by setting the values of motor primitives linearly, which means that UAVs only fly according to the predefined path.

In so-called Gödel many-valued logics, the truth function $f_{\osim }$forr negation $\osim $ is defined by setting $f_{\osim } u) = 1$ if $u = 0$, and $f_{\osim } u) = 0$ if $u \not = 0$.

Recall that for (sin (0,1)) and a Borel set (Esubset mathbb {R}^n), (nge 2), the fractional s-perimeter is defined by setting begin{aligned} P_s(E):=int _Eint _{E^c}frac{1}{|x-y|^{n+s}},dxdy.

Hence, the dynamics of system (Equations 3a-3e) may be studied by focusing on the bifurcation structure of the four-dimensional fast system which is defined by setting and treating as a bifurcation parameter.

(4.1) It is easy to check that Γ is neither upper ⩾-preserving nor lower ⩾-preserving; however, we can find an isotone selection F for Γ, where F is defined by setting F x)=frac{1}{6}x+2.

Groundwater flow directions were defined by setting suitable hydraulic heads as a boundary condition of the first kind at the model borders at the depth of the aquitards and the aquifer.