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Insulating concrete form. Insulating concrete form or insulated concrete form (ICF) is a system of formwork for reinforced concrete usually made with a rigid thermal insulation that stays in place as a permanent interior and exterior substrate for walls, floors, and roofs. The forms are interlocking modular units that are dry-stacked (without ...
A waffle slab or two-way joist slab is a concrete slab made of reinforced concrete with concrete ribs running in two directions on its underside. [1] The name waffle comes from the grid pattern created by the reinforcing ribs. Waffle slabs are preferred for spans greater than 40 feet (12 m), as they are much stronger than flat slabs, flat slabs ...
Shimura correspondence. In number theory, the Shimura correspondence is a correspondence between modular forms F of half integral weight k +1/2, and modular forms f of even weight 2 k, discovered by Goro Shimura ( 1973 ). It has the property that the eigenvalue of a Hecke operator Tn2 on F is equal to the eigenvalue of Tn on f .
A modular form for G of weight k is a function on H satisfying the above functional equation for all matrices in G, that is holomorphic on H and at all cusps of G. Again, modular forms that vanish at all cusps are called cusp forms for G. The C-vector spaces of modular and cusp forms of weight k are denoted M k (G) and S k (G), respectively.
Isogrid panels form self-stiffened structures where low weight, stiffness, strength and damage tolerance are important, such as in aircraft or space vehicles. Aerospace isogrid structures include payload shrouds and boosters, which must support the full weight of upper stages and payloads under high G loads.
For example, the Ramanujan tau function τ(n) arises as the sequence of Fourier coefficients of the cusp form of weight 12 for the modular group, with a 1 = 1. The space of such forms has dimension 1, which means this definition is possible; and that accounts for the action of Hecke operators on the space being by scalar multiplication (Mordell ...
The only cusp form is 0. Weight 5: The only Siegel modular form is 0. Weight 6: The space of forms of weight 6 has dimension 1 if the degree is at most 8, and dimension 0 if the degree is at least 9. The only cusp form is 0. Weight 7: The space of cusp forms vanishes if the degree is 4 or 7. Weight 8:In genus 4, the space of cusp forms is 1 ...
Expanded polystyrene (EPS) concrete (also known as EPScrete, EPS concrete or lightweight concrete) is a form of concrete known for its light weight made from cement and EPS (Expanded Polystyrene). It is a popular material for use in environmentally "green" homes. It has been used as road bedding, in soil or geo-stabilization projects and as sub ...