Sentence examples for dual so from inspiring English sources
We infer that ∃ has a winning strategy in exactly one of G and its dual; so she has a winning strategy in G if and only if she doesn't have one in G.
The economic capacity measure can be either primal, so that it is in terms of physical units of output (that gives the economically optimum or target level of output), or it can be dual, so that it is in terms of the firms costs, revenues, or profits.
We require them to have bounded approximate identities and, for the most part, to be ideals in their second duals, so that examples are the group algebrasL1(G) for compact groupsGor the Fourier algebrasA(G) for discrete amenable groupsG.
I've got dual nationality so nationality is a thing of the past for me.
(He already had dual citizenship, so this wasn't too hard).
The Spanish don't offer dual nationality, so the worry is whether we will be able to stay post-Brexit.
As melancholy consolation, Cornelis hires a local artist (a future Dutch master?) to paint a dual portrait, so there will be at least some legacy.
A French music teacher who rented a Dublin penthouse apartment with its own private swimming pool had dual identities so that he could work and claim social welfare.
Next, they should declare that they will no longer be using dual tracking, so that the Senate will hear just one issue at a time.
There are also dual alarms, so this can serve as a clock radio for couples who have to get up at different times.
These would be one choice for dual publication; so would simply publishing in both the original and derivative, PDF file formats.
