In doing so, one needs substituting x n with the first vector rowb in (9); that is, x n = A N − 1 + p x m − p + B ̄ N − 1 W n − p, m − p, (24).
"Sometimes at the opera, singers get sick and they need substitutes," said the president of Lincoln Center, REYNOLD LEVY.
In addition, clear criteria are needed for substituting substances which ascertain that the new ingredients are proven to be less dangerous than the substituted substance according to the present assessment criteria.
And when a recipe calls for shallots, there will be no need to substitute or omit.
But considering the underutilized talent already on their roster, the Hawks need not substitute Johnson with an explicit replacement.
He argues that we need to substitute a "living wage" of $8 an hour for the current minimum wage of $5.15.
If fundamentals are behind the rise in oil prices, for instance, then those prices are conveying information about the need to substitute away from petroleum products.
Los Angelenos with BB guns should have no problem sourcing these — they're the rustling in the bougainvillea canopy — but others might need to substitute plain old "wild rats".
What Maher should have done was interview atheists themselves, the likes of Christopher Hitchens and Richard Dawkins, and investigate the ethical burden that atheism has to shoulder, the need to substitute a rational morality in place of superstition.
Likewise, even winning schools still feel the need to substitute when they aren't winning enough.
