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

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...

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

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...

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

Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known...

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...

(mathematics), a classifying property of a mathematical object Genus of a multiplicative sequence Geometric genus In graph embedding, the genus of the graph is the...

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

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

based on the length of the repeated sequence and/or the mode of multiplication. While some repeated DNA sequences are important for cellular functioning...

is the smallest number of multiplicative persistence 3. In base 10, there is thought to be no number with a multiplicative persistence greater than 11;...

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

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

Group (mathematics) Arithmetic genus Geometric genus Genus of a multiplicative sequence Genus of a quadratic form Spinor genus Popescu-Pampu 2016, p. xiii...

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...

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

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

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

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

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

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...

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...

Babylonian symbols to the modern Arabic numeral. In mathematics, 1 is the multiplicative identity, meaning that any number multiplied by 1 equals the same number...

end. This is commonly implemented by the element-wise multiplication with the spreading sequence, followed by summation over a message symbol period. This...

structure is divisible by 16. Hirzebruch signature theorem Genus of a multiplicative sequence Rokhlin's theorem Hatcher, Allen (2003). Algebraic topology (PDF)...

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

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

In combinatorial mathematics, a de Bruijn sequence of order n on a size-k alphabet A is a cyclic sequence in which every possible length-n string on A...

{\tilde {u}}} is the multiplicative inverse of u modulo N ZC {\displaystyle N_{\text{ZC}}} . 3. The auto correlation of a Zadoff–Chu sequence with a cyclically...