Sentence examples for namely given a from inspiring English sources

Namely, given a convex body, how small can the surface area of be made by applying affine, volume-preserving transformations?

To verify the viewpoint, we try to get the expression of r, namely given a HI of A we must get Nnew and Ncur.

Namely, given a map η : P → Y such that the image of η is not contained in the image of f, as well as the commutative diagram above, we may complete the diagram by adding the cokernels of the horizontal maps: Open image in new window.

Namely, given a (mathrm {U}(L _e -module (E_e), define begin{aL _e -moduleE_emes L endefinened}as a set, endowed with the product begin{aligned} (x,a)(y,b) = (r_{a,b}(x) + s_{a,b}(y), ab), E=E_etimes L end{alignedegin{aligned}as_{a,b} = R^{-1}_{ab}R_bR_aquad text {and}quad seta,b} = R^{-1}_{ab}L_aR_b.

(2.2) Namely, given a domain D of area A, if r is chosen so that (A_{r}^{M}) equals A, then (2.1) and (2.2) imply (Lgeq L_{r}^{M}), so that the disc (D_{r}^{M}) has minimum boundary length among all domains of the same area.

Namely, given a trait of interest, how does a researcher find the potential loci or genes that are involved?

That didn't stop her from infusing her offering with those qualities she would eventually want to be known for, namely giving a hip and refreshing twist to business development and personal training.

This network is relatively highly connected with 53% of all possible ties represented (Connectedness = 53%, Table 1), namely given all the possible ties between individuals, 53% of these are reported for the work-related problem solving network.

Here gm is a function of the optical properties of dust particles with m = m0min at Tsub, namely, given by a function of x.

Building the ancestral orthologous alignments of sp1 and sp2 is formulated as a maximum-weight bipartite matching problem, namely: given G, find a matching M, which maximizes the sum of the weights of the edges that belong to M. We use an efficient algorithm for solving the maximum-weight bipartite matching problem (Johnson and McGeoch 1993).

Building the ancestral orthologous alignments of sp1 and sp2 is formulated as a maximum-weight bipartite matching problem, namely: given G, find a matching M, which maximizes the sum of the weights of the edges that belong to M. Problem 1. Suppose L has nl match regions and R has n r match regions.