Sentence examples for complex and manifold from inspiring English sources

In four years of political turmoil here, the divisions in Thai society have been complex and manifold.

Swanberg, even when he makes movies that cost around two thousand dollars, has an abstract sense of story, of the complex and manifold connections between the bit of action shown on-screen and the world that it evokes.

The relationships between sleep and headaches are complex and manifold.

The mechanisms by which headaches are associated with specific sleep disturbances are complex and manifold.

The relationships between sleep and headaches are complex and manifold [1, 2], with suggestions for an unique pathogenic process [3].

His arguments against utilitarianism were complex and manifold, yet did seem to focus on its consequentialist structure.

Ditto any effort to probe his complex biography and manifold phobias.

In this theorem, the assumption on the dimension of the complex and of the manifold is not superfluous; in fact, Xiaosong presents in [6, Section  4] a map from the bitorus into the torus with and.

The complex engineering design, 3D geometry, and manifold of diagnostics in larger fusion research experiments justify the development of special analysis and visualization programs.

In this survey, we are primarily interested in actions by biholomorphisms on complex manifolds, and this is the topic we will focus on in the forthcoming sections.

Let f1 and f2 be two functions on some complex n-manifold and let φ be a test form of bidegree (n,n−2).