Sentence examples for some complex real from inspiring English sources

When an approximation with one hidden layer would require an impractically large number of hidden units in solving some complex real world problems, multiple hidden layers may become necessary.

In this paper we show that some complex and real unital uniformly closed subalgebras of do not have the fixed-point property by using the results given by them and by applying the concept of peak points for those subalgebras.

Real people are complex; real life is messy.

And the real estate- industrial complex — real estate agents, mortgage brokers, home builders, and the like — was similarly dismissive.

There are also a number of real estate groups interested in buying the complex, real estate executives said, including the Related Companies and Apollo Real Estate Advisors.

But for the tenant who has a ceiling collapse or the co-op owner who no longer can cook a meal, they are complex real estate challenges.

A lawyer by training, Mr. Ames also worked on several complex real estate deals that the firm undertook with William Zeckendorf, the New York developer.

Through its simple model of crafting blocks, millions have recreated extremely complex real world environments.

and are the sets of complex, real, and integer numbers, respectively.

Let (mathbb{C}(mathbb{R})) be the complex (real) field and (N={1,2,ldots,n}).

Let (mathcal{C}) ((mathcal{R})) be the set of all complex (real) numbers and (N={1,2,ldots,n}).