The phrase "a complex sphere of" is correct and usable in written English.
It can be used to describe a multifaceted area or domain of knowledge, activity, or influence.
Example: "The research delves into a complex sphere of social interactions and cultural influences."
Alternatives: "a multifaceted realm of" or "a complicated domain of".
To prove them, we show the smallest embedding dimension of a tournament into a complex sphere by the multiplicity of the smallest or second-smallest eigenvalue of the Seidel matrix.
The provision of military facilities, as distinct from fortification, did not become a large and complex sphere of logistic activity until the transformation of warfare in the industrial era.
For the purpose of illustration, we assume a unit amplitude constellation; thus all the codewords are points on the N-dimensional complex sphere of radius (sqrt {N}).
The uniform sphere randomized matrix which achieves the lowest BER of the analyzed schemes and contains elements that are uniformly distributed on the surface of a complex hyper-sphere of radius ρ is used in our system.
The reason for using a radius of 35 nm is to make the surface area of the two ParB spheres comparable to the surface area of the single partition complex sphere (50 nm of radius) used in the original model (2·π·35 ≈ π·50).
For a while, Benson imbibed the philosophy of a gaudier and more complex sphere, heard the tinny music of their radios and stared into the dazzle of the day.
The studio came to wide attention three years later when it rendered the fantastically complex sphere-in-a-glass-box structure of the Rose Center.
The Triple Helix model is defined by a complex set of organizational ties among overlapping spheres that may cross the boundaries between them (Leydesdorff and Etzkowitz 1998).
TEM micrographs clearly show the coaggregating structure formed by small Ca Ox clusters (less than 5 nm) surrounding the large amorphous calcium phosphate complex spheres (about 60 nm) after the addition of calcium to the reaction solution; 60 min after the addition of the calcium solution, larger aggregates of ACP spheres were observed and these formed larger coaggregates.
The substrate-enzyme complex was solvated in a 22Å sphere of TIP3P water [64] keeping the C1 atom of subsite −1 at the center.
