Sentence examples for jin n from inspiring English sources

quadforall jin N, (13) respectively.

Let E be a Banach space with norm (|cdot|) and (E=overline {bigoplus_{jin N}X_{j}}) with (operatorname{dim} X_{j}<infty) for any (jin N).

Let (iin N) be such that, for at least one (jin N), (b_{ij} neq0).

Therefore, in all cases, there exists (jin N) such that (T^{j}z=z).

Then for all (iin N), alpha_{ij}leq u_{ji} alpha_{jj}, quad jin N, jneq i.

Obviously, for every fixed (jin N), (D_{j}) is a bounded domain and (D_{j}cap D_{i}=emptyset) ((jneq i)).

We choose a completely orthonormal basis ({e_{j}: jin N}) of X and let (X_{j}=operatorname{span}{e_{j}}) for all (j in N).

Let (mathcal{A}=(a_{i_{1}i_{2}cdots i_{m}})inmathbb{C}^{[m,n]}), define a matrix (M=(M_{ij} inmathbb{C}^{ntimes n}) with M_{ij}=sum_{jin{i_{2},ldots,i_{m}}}|a_{ii_{2}cdots i_{m}}|,quad forall iin N, forall jin N. (mathcal{A}) is called weakly irreducible if M is an irreducible matrix.

Hence, min_{i,jin N,atop jneq i} L_{ij}(mathcal{A}) geqmin _{jin N} R_{j}(mathcal{A}).

For each origin, this average weighted impedance is calculated as follows: {dot{mathrm{c}}}_i=frac{{displaystyle {sum}_{jin N}{D}_jcdot {c}_{ij}}}{{displaystyle {sum}_{jin N}{D}_j}};forall iin N (A).

Letting (krightarrow+infty), then Delta_{mathrm{min}}=min_{substack{i,jin N, jneq i}} Delta_{i,j}( mathcal{A} leqrho(mathcal{A} leq max_{substack{i,jin N, jneq i}} Delta_{i,j}(mathcal{A})=Delta_{mathrm{max}}.