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The Moto Z was later joined by the more rugged Moto Z Force of which shares most of the same internals as the former, and the mid-range Moto Z Play with downgraded specifications, all three devices being compatible with the modular system. In the United States, Moto Z is carrier-exclusive to Verizon Wireless under the name Moto Z Droid Edition ...
Download QR code; Print/export ... IBM Z [1] is a family name ... A processor book is a modular card in IBM mainframes that contains processors, ...
For any A, B, and C subgroups of a group with A ≤ C (A a subgroup of C) then AB ∩ C = A(B ∩ C); the multiplication here is the product of subgroups.This property has been called the modular property of groups (Aschbacher 2000) or (Dedekind's) modular law (Robinson 1996, Cohn 2000).
Then the modular discriminant Δ(z) = (2π) 12 η(z) 24 is a modular form of weight 12. The presence of 24 is related to the fact that the Leech lattice has 24 dimensions. A celebrated conjecture of Ramanujan asserted that when Δ(z) is expanded as a power series in q, the coefficient of q p for any prime p has absolute value ≤ 2p 11/2.
Some authors define the modular group to be PSL(2, Z), and still others define the modular group to be the larger group SL(2, Z). Some mathematical relations require the consideration of the group GL(2, Z) of matrices with determinant plus or minus one. (SL(2, Z) is a subgroup of this group.) Similarly, PGL(2, Z) is the quotient group GL(2, Z ...
In 1973, Pierre Deligne and Michael Rapoport showed that the ring of modular forms M(Γ) is finitely generated when Γ is a congruence subgroup of SL(2, Z). [2]In 2003, Lev Borisov and Paul Gunnells showed that the ring of modular forms M(Γ) is generated in weight at most 3 when is the congruence subgroup () of prime level N in SL(2, Z) using the theory of toric modular forms. [3]
Older versions of z/OS, z/VSE, and z/VM continued to support 32-bit systems; z/OS version 1.6 and later, z/VSE Version 4 and later, and z/VM Version 5 and later require z/Architecture. Linux also supports z/Architecture with Linux on IBM Z.
In modular arithmetic, the integers coprime (relatively prime) to n from the set {,, …,} of n non-negative integers form a group under multiplication modulo n, called the multiplicative group of integers modulo n.