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Ideation is important, but being part of implementing the ideas that come to life can be a more exciting and meaningful growth opportunity for your employees that will inspire them to perform.
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One precise way of implementing the idea that player 2 is 'ignorant' of the move player 1 made for ∀x is to say that (a) strategy functions always only take as arguments the opponent's moves, and (b) the strategy function corresponding to ∃w may not take as its argument the move player 1 made for ∀x.
On the second point, I think he's mistaken, or at least oversimplifying (not least because Obamacare itself doesn't achieve universal health coverage), but I'll just direct you to Reihan Salam's comments on the universality issue and focus on Barro's first claim: That "no Republican Congress would ever implement" the ideas that conservative policy wonks have proposed.
Once Sam explained their initial plan I could immediately see how this technology could implement the idea that I had.
The simplest way to implement the idea that 'the closer one is to getting what one deserves, the better' defines the contribution made to intrinsic value by an individual as follows: The minus sign is there because someone's fit value goes up as their welfare level gets farther away from their deserved welfare level.
Healey's intuition about the way a modal interpretation based on the biorthogonal decomposition theorem would be applied to, say, an EPR experiment is to implement the idea that an EPR pair possesses a "holistic" property; this can then explain why the apparatus on one side of the experiment acquires a property that is correlated to the result on the other side.
Thus we implement the idea that we used in [12] for a fractional differential equation with the Riemann-Liouville derivative, i.e., the initialization problem that leads to a modification of the problem, namely we consider viability of solutions in the memory domain.
Using cheap and reliable networking technologies to (finally) implement some of the ideas that have been bouncing around corporate boardrooms since the first Internet bubble.
They have continuously been obstacles to implementing the ideas and the public good that he holds forth as paramount.
While all the other consultants were happy to be paid money to help him implement these ideas that would harm his business, I spent 20 minutes writing an email to educate him why those ideas were a bad option.
Also, while this answer covers the ideation part of the journey, keep in mind that implementing the idea is the hard part.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com