Sentence examples for has a unique representation from inspiring English sources
The rational spline scheme has a unique representation.
Hence, we deduce that y has a unique representation by (3.1), which implies that x has a unique representation by (3.2).
Hence, every (x in b_{0}^{r,s}) has a unique representation, as desired.
By considering the part (a), one can say that (y= y_{k})) has a unique representation.
This implies that (x=(x_{k})) has a unique representation, as desired in part (b).
Therefore, every (x in b_{p}^{r,s}) has a unique representation.
Finally, all itemsets in ({mathcal F}{mathcal S}_{C_{10} subseteq L_{C_{11}},nsubseteq C_{21}}) have a unique representation and are generated completely and distinctly by itemsets in ({mathcal F}{mathcal S}_{{C}_{10} subseteq L_{C_{11}},nsubseteq C_{21} }^*).
By this definition every nonzero complex variable has a unique sinusoid representation, up to the polarization of and shift of,.
It has a unique copula representation, known as Sklar's theorem: Fleft({x}_1,{x}_2right)= Cleft({F}_1left({x}_1right), {F}_2left({x}_2right)right) (9).
Then (p) has a unique Lorentz representation of the form begin{aligned} p(x)=sum limits _{k=0}^{n}c_{k}x^{k} 1-x ^{n-k}, end{aligned} 1-x ^{n-k} (c_{k} 1-x ^{n-k}{R}}), (k=0,1,ldots,n).
