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The Modular Function

1987
By SL2 we mean the group of 2 x 2 matrices with determinant 1. We write SL2 (R) for those elements of SL2 having coefficients in a ring R. In practice, the ring R will be Z, Q, R. We call SL2 (Z) the modular group.
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De novo design of modular and tunable protein biosensors

Nature, 2021
Alfredo Quijano-Rubio   +2 more
exaly  

Architecture of bacterial respiratory chains

Nature Reviews Microbiology, 2021
Ville R I Kaila, Mårten Wikström
exaly  

Zeta-Functions of Modular Curves

2006
This work gives an exposition and a generalization of classical results due to M. Eichler [1] and G. Shimura [2], which give the expression of congruence-zeta-functions of some modular curves in terms of Hecke polynomials. The central point in these papers is the famous congruence relation which links the local factor of the Mellin transforms of ...
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Modular terpene synthesis enabled by mild electrochemical couplings

Science, 2022
Stephen Harwood   +2 more
exaly  

Designing modern aqueous batteries

Nature Reviews Materials, 2022
Yanliang Liang, Yan Yao
exaly  

A modular approach to enhancing cell membrane-coated nanoparticle functionality using genetic engineering

Nature Nanotechnology, 2023
Weiwei Gao   +2 more
exaly  

On modular functions

1996
For a lattice \(L\) and a group \(G\) a map \(\mu: L\to G\) is called a modular function if for all \(x,y\in L\), we have \(\mu(x\vee y)+ \mu(x\wedge y)= \mu(x)+ \mu(y)\). The important examples that provide much of the motivation for the study of modular functions are furnished by measures on Boolean algebras and linear operators on vector lattices ...
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