Sentence examples for by direct computing from inspiring English sources
By direct computing, we have (M hat{x},hat{y})={-1,0}), (hat {N}(hat{x},operatorname{dom}G)=N hat{x},operatorname{dom}G)={0}), hat{D}^G(hat{x},hat{y}) bigl y^ bigr)= left { textstylebegin{array}l@{quad}l} 0, & y^=0; emptyset, & mbox{else}, end{array}displaystyle right.
By direct computing, we have (hat{N}(hat{x},K =N hat{x},K =mathbb {R}_) and hat{D}^N hat{x},hat{y}) bigl y^ bigr)=D^N hat{x},hat{y}) bigl y^ bigr)= bigl{ x^in mathbb{R}mid x^leq y^ bigr}.
Therefore, the sum of two-hop influence propagation for every node in V′ is no more than n Δ 2 ( nΔ ) 4 = 1 n 3 Δ 2. By direct computing, we have the sum of (r+1 -hop influence pr+1 -hopon influencehan the sum of r-hopropagation propagatisn for any node i.
Conceptually, the simplest approach to the optimization problem described above is to solve it jointly at a central location by direct computing p C ≡ p C, 1 p C, 2 ⋯ p C, N ≡ arg min p ∑ i = 1 N M i p A i, (2).
Diagnosis was established by direct microscopic examination, computed tomographic scan, and magnetic resonance imaging of the brain, and repeated cultures from the lesions.
The possible values of X are 2, 3,…, 12, while the possible values of Y are 0, 1, 2. Since there are 36 possible outcomes for the two dice, the accompanying table giving the joint distribution h i, j) (i = 2, 3,…, 12; j = 0, 1, 2) and the marginal distributions f(i) and g(j) is easily computed by direct enumeration.
Stress resultants and envelopes of these structures are computed by direct calculation.
In these cases, reconstructions computed by direct methods often contain significant artifacts, making further analysis difficult or impossible.
These indices are usually computed by direct Monte Carlo or quasi-Monte Carlo simulation, which may reveal hardly applicable for computationally demanding industrial models.
The shear strength of these elements is evaluated at various stages of loading and can be computed by direct simple expressions.
The corresponding control points, ( {I}_{00}^Rleft({r}_{00}^R,{c}_{00}^Rright) ) and ( {I}_{01}^Lleft({r}_{01}^L,{c}_{01}^Lright) ), in the stereo image pair (right or left) for ( {G}_{00}^{min } )and( {G}_{00}^{max } ) are computed by direct coordinate transformation, using the command "ground2Image" in CSM APIs.
