The phrase "a moduli" is not correct in standard English usage.
The correct term is "a modulus" when referring to a single unit, while "moduli" is the plural form and should not be preceded by "a."
Example: "In mathematics, a modulus is used to describe the absolute value of a complex number."
Alternatives: "a parameter" or "a variable."
The concept of a moduli problem is one of the oldest and most central concepts in algebraic geometry.
Then a nice nonlinear PDE on the spin bundle of 4-manifolds will give rise to a moduli space related to Seiberg-Witten invariants.
We study a moduli space of ASD connections over S3×R.
Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence of extrema or equilibria follow.
For example, the set of all complex structures on a given smooth manifold can itself be made into a complex manifold; this is an example of a moduli space.
We also conjecture that points at infinity in a moduli space correspond to points where an infinite tower of massless states appear, and that near these regions the moduli space is negatively curved.
Lurie's achievements cited include: his work on the foundations of higher category theory and derived algebraic geometry; the classification of fully extended topological quantum field theories; and providing a moduli-theoretic interpretation of elliptic cohomology.
It is observed that the interface having a higher moduli mismatch tends to behave in a brittle manner.
Akkal, P. Siy, A new mixed radix conversion algorithm MRC-II, Journal of System Architecture (2006)] and also we present an optimum algorithm for sign detection based on a special moduli set where mn is even.
In [11], the design procedure can be visualized as a "top-down" approach where a given bandwidth is divided into multiple candidate subbands based on a predetermined moduli set.
Table 1: Ground-state lattice constants a, bulk moduli B0 and first derivatives B´0, calculated by fitting the total energy per cell with the Birch-Murnaghan equation of state.
