This can be formalized as a classical mathematical relationship visualized as an undirected graph.
This, of course, has been a worry for file-sharers long before it was formalized as a religion.
The relationship is being formalized as a "natural extension" of having worked together for so many years, said Stan Parker, senior vice president for marketing at Krispy Kreme in Winston-Salem, N.C.
The unfussy attire — a light shirt and zip-up jacket in the video — would be formalized as a uniform: khaki slacks, a slightly rumpled black suit, and, most distinctive of all, a white shirt primly buttoned to the top.
In particular, no scientific theory is formalized as a hypothetico-deductive system as the positivists had contended, and there are no genuine "bridge principles" linking entities of older theories to entities of newer ones.
It became formalized as a style after Atkins, in 1988, named a track "Techno Music," which was included on (and inspired the title of) that year's defining anthology, Techno!
The latter is formalized as a graph with leaves.
The problem of pairing objects can be formalized as a Bayesian optimal design.
Tag cloud construction is formalized as a combinatorial optimization problem with an irregular objective function.
This scenario can be formalized as a learning problem with stochastic inputs and adversarial outputs.
The computation on a general Bayesian network with convex sets of conditional distributions is formalized as a global optimization problem.
