mathematics, Clifford's theorem on special divisors is a result of William K. Clifford (1878) on algebraic curves, showing the constraints on special linear...

Riemann–Roch theorem. Clifford's theorem on special divisors is also a consequence of the Riemann–Roch theorem. It states that for a special divisor (i.e.,...

Clifford's theorem may refer to: Clifford's theorem on special divisors Clifford theory in representation theory Hammersley–Clifford theorem in probability...

(complex analysis) Clifford's theorem on special divisors (algebraic curves) Corona theorem (complex analysis) de Branges's theorem (complex analysis)...

the numbers with exactly two positive divisors. Those two are 1 and the number itself. As 1 has only one divisor, itself, it is not prime by this definition...

eigenvalue comparison theorem Clifford's theorem on special divisors Cohn-Vossen's inequality Erdős–Mordell inequality Euler's theorem in geometry Gromov's...

Moduli of algebraic curves Hurwitz's theorem on automorphisms of a curve Clifford's theorem on special divisors Gonality of an algebraic curve Weil reciprocity...

that the divisors are pairwise coprime (no two divisors share a common factor other than 1). The theorem is sometimes called Sunzi's theorem. Both names...

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

possible divisors up to n {\displaystyle n} are tested, some divisors will be discovered twice. To observe this, consider the list of divisor pairs of...

important theorems relating to modular arithmetic: Carmichael's theorem Chinese remainder theorem Euler's theorem Fermat's little theorem (a special case of...

positive common divisor in the preorder relation of divisibility. This means that the common divisors of a and b are exactly the divisors of their GCD....

distance to the origin (zero point) Sigma function: Sums of powers of divisors of a given natural number. Euler's totient function: Number of numbers...

number that is a perfect cube. Sphenic numbers always have exactly eight divisors. 8 is the base of the octal number system. A polygon with eight sides is...

the squares of all four bends Is half the square of their sum Special cases of the theorem apply when one or two of the circles is replaced by a straight...

{C}}_{K}\to 0} associated to every number field. One of the important structure theorems for fractional ideals of a number field states that every fractional ideal...

There will be more values of m having c = m if p − 1 or q − 1 has other divisors in common with e − 1 besides 2 because this gives more values of m such...

In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Rowan Hamilton) states that every square matrix...

Euclidean algorithm, and computes, in addition to the greatest common divisor (gcd) of integers a and b, also the coefficients of Bézout's identity,...

sedenions, which have zero divisors and so cannot be a normed division algebra. The unit quaternions give a group structure on the 3-sphere S3 isomorphic...

Rosser, J.B. (1939). "An Informal Exposition of Proofs of Godel's Theorem and Church's Theorem". Journal of Symbolic Logic. 4 (2): 53–60. doi:10.2307/2269059...

field; cf. Tsen's theorem). Br ⁡ ( R ) {\displaystyle \operatorname {Br} (\mathbb {R} )} has order 2 (a special case of the theorem of Frobenius). Finally...

the star denotes complex conjugation. The Plancherel theorem is a special case of Parseval's theorem and states: ∑ n = 0 N − 1 | x n | 2 = 1 N ∑ k = 0 N...

Certain non-zero integers map to zero in certain rings. The lack of zero divisors in the integers (last property in the table) means that the commutative...

expansion, respectively. Norton's theorem In direct-current circuit theory, Norton's theorem (aka Mayer–Norton theorem) is a simplification that can be...

defined by the degree. Given a greatest common divisor of two polynomials, the other greatest common divisors are obtained by multiplication by a nonzero...

same for the three elements). The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula...

another description in terms of divisors. These are formal objects which represent possible factorizations of numbers. The divisor group Div K is defined to...

combinatorics. Cayley's theorem states that every group G {\displaystyle G} is isomorphic to a subgroup of the symmetric group on (the underlying set of)...

odd prime, it passes the test because of two facts: by Fermat's little theorem, a n − 1 ≡ 1 ( mod n ) {\displaystyle a^{n-1}\equiv 1{\pmod {n}}} (this...