In algebraic geometry, Cramer's theorem on algebraic curves gives the necessary and sufficient number of points in the real plane falling on an algebraic...
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demonstration that a curve of the n-th degree is determined by n(n + 3)/2 points on it, in general position (see Cramer's theorem (algebraic curves)). This led...
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Franchis theorem (algebraic geometry) Chow's theorem (algebraic geometry) Cramer's theorem (algebraic curves) (analytic geometry) Hartogs's theorem (complex...
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large deviations Cramer's theorem (algebraic curves), a result regarding the necessary number of points to determine a curve Cramer's rule This disambiguation...
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Acnode Bézout's theorem Cramer's theorem (algebraic curves) Crunode Curve Curve sketching Jacobian variety Klein quartic List of curves Hilbert's sixteenth...
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two curves of degree n {\displaystyle n} generally have n 2 {\displaystyle n^{2}} points of intersection. Cramer's theorem states that a curve of degree...
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a ring Cramer's theorem (algebraic curves), on the number of points usually sufficient to determine a bivariate n-th degree curve "Algebraic equation"...
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Prime number (redirect from Euclidean prime number theorem)
an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry. The prime ideals of the ring of integers are...
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quartic curves can be identified with the real projective space R P 14 . {\displaystyle \mathbb {RP} ^{14}.} It also follows, from Cramer's theorem on...
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2024. Danilov, V. I. (2006). "II. Algebraic Varieties and Schemes". Algebraic Geometry I: Algebraic Curves, Algebraic Manifolds and Schemes. Springer....
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Five points determine a conic (category Theorems in projective geometry)
between 0 and 8, except for 7. Cramer's theorem (algebraic curves), for a generalization to n-th degree planar curves Interactive Course on Projective...
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Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC...
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superposition of its proper vibrations") Gabriel Cramer Cramer's theorem (algebraic curves) In 1750 he published Cramer's rule, giving a general formula for the...
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Number theory (section Algebraic number theory)
abstraction in algebra. The rough subdivision of number theory into its modern subfields—in particular, analytic and algebraic number theory. Algebraic number...
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until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory...
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In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...
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Determinant (redirect from Determinant theorem)
1693. Cramer (1750) stated, without proof, Cramer's rule. Both Cramer and also Bézout (1779) were led to determinants by the question of plane curves passing...
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Riemann hypothesis (redirect from Critical line theorem)
taken to be sufficiently large. This is an explicit version of a theorem of Cramér. The Riemann hypothesis implies strong bounds on the growth of many...
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This is a list of misnamed theorems in mathematics. It includes theorems (and lemmas, corollaries, conjectures, laws, and perhaps even the odd object)...
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Parabola (redirect from U-shaped curves)
raised to rational powers, but the resulting curve is no longer algebraic and cannot be analyzed by algebraic geometry. In nature, approximations of parabolas...
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ISBN 3-7643-5029-6, MR 1308079 Kosinski, A. A. (2001), "Cramer's Rule is due to Cramer", Mathematics Magazine, 74 (4): 310–312, doi:10.2307/2691101...
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{\binom {n}{k}}={\frac {n!}{k!(n-k)!}}.} binomial theorem (or binomial expansion) Describes the algebraic expansion of powers of a binomial. bounded function...
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sum of the reciprocals of the primes diverges Cramér's conjecture Riemann hypothesis Critical line theorem Hilbert–Pólya conjecture Generalized Riemann...
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Georges Henri Halphen (category Algebraic geometers)
particularly in enumerative geometry and the singularity theory of algebraic curves, in algebraic geometry. He also worked on invariant theory and projective...
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Cover's theorem Coverage probability Cox process Cox's theorem Cox–Ingersoll–Ross model Cramér–Rao bound Cramér–von Mises criterion Cramér's decomposition...
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Cramer–Euler paradox Euler calculus Euler sequence Gram–Euler theorem Euler measure Euler characteristic (formerly called Euler number) in algebraic topology...
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as of September 2022[update]. The conjecture terminology may persist: theorems often enough may still be referred to as conjectures, using the anachronistic...
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Mathematics in the medieval Islamic world (redirect from Algebra in medieval Islam)
that of Diophantus. He developed a new vocabulary for algebra, distinguishing between purely algebraic terms and those shared with arithmetic. Al-Khwārizmī...
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unbiased estimators", see also Cramér–Rao bound, Gauss–Markov theorem, Lehmann–Scheffé theorem, Rao–Blackwell theorem. Best linear unbiased estimator...
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a timeline of key developments of algebra: Mathematics portal History of algebra – Historical development of algebra Archibald, Raymond Clare (December...
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