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Reduction of CM Elliptic Curves and Modular Function Congruences (with K.Ono and T.Yang), International Math.
Product designs are optimized for automation using Design Structure Matrix and Modular Function Deployment.
A modular function space is thevector space.
Let be -modular on the modular function space.
Section 2 provides necessary preliminary material on modular function spaces.
Indeed, let L ρ be a modular function space.
Indeed let be a convex, -finite modular function.
In the sequel we assume that is a convex, -finite modular function satisfying the -type condition, and is a nonempty -bounded subset of the modular function space.
In the sequel we assume that (rhoinRe) is a convex, σ-finite modular function, and C is a nonempty subset of the modular function space (L_{rho}).
We also discuss the concept of -modular function and prove fixed point results for weakly-modular contractive maps in modular function spaces.
Then ( X, ⪯, ρ ) is called an ordered modular function space iff: (i) ρ is convex modular function on X and (ii) ⪯ is a partial order on X.
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