Sentence examples for modular form of from inspiring English sources

Therefore, (H_{2}(q)) is a mixed mock modular form of weight (1/2) from the modularity of (F q)).

In particular, the use of a standardized, modular form of construction the longhouse of the early farmers is consistent with a colonizing population using proven technology to facilitate its expansion.

A pro-active handling of the innovation incentives offered by the End-of-life Vehicle Ordinance would require a shift towards a relational or modular form of coordination within the automotive supply chain.

Wiles's proof of the modularity of semistable elliptic curves over the rationals uses, as a starting point, the Langlands-Tunnell theorem, which implies that the mod 3 Galois representation attached to an elliptic curve over the rationals arises from a modular form of weight one.

The preservation of encapsulation (or locality) enables a modular form of reasoning over specifications, while the conservation of the internal non-determinism is important to guarantee that the branching time properties of components are not lost when the entire system is obtained.

It's a "more modular" form of EF, he says, and should this model work as well as the longer London and Singapore programs it will pave the way for EF to scale up quicker across Europe in future.

In order to feed this into modularity lifting theorems, one needs to use congruences between modular forms of weight one and modular forms of higher weight.

I will describe work with Yingkun Li on some arithmetic properties of the Fourier coecients of harmonic modular forms of weight one.

We denote the vector space (over C ) of weakly holomorphic modular forms of integer weight k on Γ 0 (N ) by M k !

For instance, Hecke operators are used to investigate and study Fourier coefficients of modular forms, to explore other properties of the Hecke-eigenforms, which satisfy many interesting arithmetic relations.

In particular, the present work proposes a systematic design method for discrete-time nonlinear state and disturbance observers in modular form, consisting of an observer for the disturbance-free part of the system, along with a disturbance observer and a state-estimate corrector.