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Multiplicative sequence information


In mathematics, a multiplicative sequence or m-sequence is a sequence of polynomials associated with a formal group structure. They have application in the cobordism ring in algebraic topology.

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Multiplicative sequence

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In mathematics, a multiplicative sequence or m-sequence is a sequence of polynomials associated with a formal group structure. They have application in...

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Genus of a multiplicative sequence

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In mathematics, a genus of a multiplicative sequence is a ring homomorphism from the ring of smooth compact manifolds up to the equivalence of bounding...

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Multiplicative inverse

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mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity...

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Sequence

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In other instances, sequences are often called multiplicative, if an = na1 for all n. Moreover, a multiplicative Fibonacci sequence satisfies the recursion...

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Multiplication

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generalizations See Multiplication in group theory, above, and multiplicative group, which for example includes matrix multiplication. A very general, and...

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Multiplicative digital root

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0, 3, 6, 9, 2, 5, 8, 2, 8, 4, 0. (sequence A031347 in the OEIS) Multiplicative digital roots are the multiplicative equivalent of digital roots. Let n...

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Multiplicative group of integers modulo n

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the multiplication is associative, commutative, and that the class of 1 is the unique multiplicative identity. Finally, given a, the multiplicative inverse...

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Multiplicative function

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not multiplicative. However, r2(n)/4 is multiplicative. In the On-Line Encyclopedia of Integer Sequences, sequences of values of a multiplicative function...

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Fibonacci sequence

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Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known...

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Todd class

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\operatorname {td} _{j}} defines the Todd polynomials: they form a multiplicative sequence with Q {\displaystyle Q} as characteristic power series. If E {\displaystyle...

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Sequence space

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of functions and pointwise scalar multiplication. All sequence spaces are linear subspaces of this space. Sequence spaces are typically equipped with...

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Scrambler

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systems. A multiplicative scrambler is recursive, and a multiplicative descrambler is non-recursive. Unlike additive scramblers, multiplicative scramblers...

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Nimber

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Nimber multiplication is associative and commutative, with the ordinal 1 as the multiplicative identity element. Moreover, nimber multiplication distributes...

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Matrix multiplication

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as matrix multiplication (up to a multiplicative constant), the computational complexity of matrix multiplication appears throughout numerical linear...

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Multiplicative partition

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pointwise. Although the study of multiplicative partitions has been ongoing since at least 1923, the name "multiplicative partition" appears to have been...

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Persistence of a number

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is the smallest number of multiplicative persistence 3. In base 10, there is thought to be no number with a multiplicative persistence > 11: this is known...

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Hirzebruch signature theorem

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Hirzebruch–Riemann–Roch theorem. The L-genus is the genus for the multiplicative sequence of polynomials associated to the characteristic power series x...

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Multiplication algorithm

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such a short sequence. In addition to the standard long multiplication, there are several other methods used to perform multiplication by hand. Such...

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Extended Euclidean algorithm

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With that provision, x is the modular multiplicative inverse of a modulo b, and y is the modular multiplicative inverse of b modulo a. Similarly, the...

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Exact sequence

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or denoted 1 (multiplicative notation). Consider the sequence 0 → A → B. The image of the leftmost map is 0. Therefore the sequence is exact if and...

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Spectral sequence

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algebra to H(E; R). The multiplicative structure can be very useful for calculating differentials on the sequence. Spectral sequences can be constructed by...

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1

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following 0. The fundamental mathematical property of 1 is to be a multiplicative identity, meaning that any number multiplied by 1 equals the same number...

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Matrix chain multiplication

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chain multiplication (or the matrix chain ordering problem) is an optimization problem concerning the most efficient way to multiply a given sequence of...

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Power of two

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is the multiplicative order of 2 modulo 5k, which is φ(5k) = 4 × 5k−1 (see Multiplicative group of integers modulo n).[citation needed] (sequence A140300...

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