Sentence examples for hand defining from inspiring English sources

On the other hand, defining '⪯' by x ⪯ y ⟺ ( ( x = y ) ∨ ( x, y ∈ [ 7 8, 1 ], x ≤ y ) ) ( x, y ∈ X ), the same argument shows that f fails to be a φ - G 1 -contraction for any φ ∈ Φ.

On the other hand, defining ({mathcal {N}}_{k}) as the event of not receiving ACKs in k attempts, with 1≤k≤L, the more manageable probability (Pr (mathcal {N}_{k})) can be introduced, Pr ({mathcal{N}}_k) triangleq Pr { {bar{mathcal{A}}_1}, cdots,{bar{mathcal{A}}_k}} = 1- sumlimits_{j=1}^k Pr({mathcal{R}}_j).

On the other hand, defining conditions under which either action takes place is not straightforward.

On the other hand, defining "too many" classes can result in classes that are too similar or present small within-class sample sizes leading to reduced statistical power.

Sigel (1998) [ 35] indicated an urgent need of "science practitioning", meaning systematically translating science and research findings into practice, or, on the other hand, defining research problems out of practical relevance.

Illness, on the other hand, defines the context of a medical encounter, including the relationship between doctor and patient.

Most communitarians, on the other hand, define community through the commonality of tradition, history and culture; the various past crystallisations whose inescapable weight determines present possibilities.

In response, German composers, in an astonishing intellectual sleight of hand, defined the national style not in terms of folk sources but in terms of abstract ideals.

Most Chinese immigrant parents, on the other hand, define success as getting straight A's, graduating from an elite university, pursuing an advanced degree and becoming a doctor, lawyer, pharmacist or engineer.

On the other hand, define E s (t) as the total energy that is consumed during the transmission.

On the other hand, define a mapping g : [ 0, π ] → [ 0, π ] as g ( x ) = cos x.