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Consequently, we can solve source inference problem (2) by solving hat s = argmax_{s} mathbb{E}_{G^{prime}simmathcal{G}^{prime}}[I(A_{tau} = mathcal{R}(G^{prime},s,tau))].
I've been deeply considering this question for over two dedicated decades, and I finally rolled up my sleeves and put on my problem solving hat as a former lawyer -- it was time to figure this shit out.
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If Curren$y was an author, the main plot points of his books would be weed, hanging out on the beach wearing expensive but dumb-looking hats, and solving mysteries (like who "stole" said hats that he lost while stoned on the beach).
If (12) is satisfied, solve (18) for (hat {gamma }) by a Newton's iterative method under the condition of (20); otherwise, set (hat {gamma }=0).
Then, for a fixed λ, Eq. (12) is solved to get (hat {boldsymbol{beta }}_{lambda }).
Then, we find the occupied block (hat iota ) by solving (5), and finally we can find the occupied position by solving (5) using the selected block (widehat {Psi }[hat iota ]).
As someone who grew so frustrated with my Rubik's Cube that I peeled off the stickers and told my Mom I solved it myself, hats off to Katz and Di Carlo.
Solving these three equations leads to the elevation angle estimates begin{aligned} hat theta_{k}&=arctanleft(hat c left(cos hat phi_{k}~+~sin hat phi_{k}right) - frac{bar q_{2k,3}}{bar q_{2k,1} - bar q_{2k,2}} right.
In this paper, a new computational method based on the generalized hat basis functions is proposed for solving stochastic Itô Volterra integral equations.
The maximum likelihood estimators (MLEs) of β and ν, denoted by ({hat beta }) and (hat nu ), respectively, can be obtained by solving Eqs.
The inverse projections Π −1 and (hat {Pi }^{-1}) are obtained by solving the perspective-n-point problem.
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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