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- [d’après M. Viazovska et al.] 1134 Lillian Pierce: The Vinogradov Mean Value Theorem [after Bourgain, Demeter and Guth, and Wooley] 1135 Frédéric Rousset:…27 KB (2.549 Wörter) - 14:27, 8. Mär. 2025
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- \end{aligned}}} For positive values of a and b, the binomial theorem with n = 2 is the geometrically evident fact that a square of side a +…42 KB (6.745 Wörter) - 10:31, 25. Jul. 2025
- In mathematics, the mean value theorem (or Lagrange's mean value theorem) states, roughly, that for a given planar arc between two endpoints, there is…28 KB (5.404 Wörter) - 01:06, 31. Jul. 2025
- i > min ( m , n ) . {\displaystyle i>\min(m,n).} The geometric content of the SVD theorem can thus be summarized as follows: for every linear map …91 KB (14.599 Wörter) - 21:05, 16. Jul. 2025
- applied to a non-negative measurable function rather than to an integrable function over its domain. The Fubini and Tonelli theorems are usually combined…41 KB (7.862 Wörter) - 12:10, 5. Mai 2025
- matrix-valued geometric series, function-valued geometric series, p {\displaystyle p} -adic number geometric series, and most generally geometric series…34 KB (4.759 Wörter) - 10:44, 17. Jul. 2025
- methods – possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating…95 KB (12.787 Wörter) - 23:00, 12. Jul. 2025
- controlled by the eigenvalue of A with the largest absolute value (modulus). The Perron–Frobenius theorem describes the properties of the leading eigenvalue and…58 KB (8.225 Wörter) - 14:38, 18. Jul. 2025
- initial value. The sum of a geometric progression's terms is called a geometric series. The nth term of a geometric sequence with initial value a = a1…9 KB (1.594 Wörter) - 11:00, 1. Jun. 2025
- In probability theory and statistics, the geometric distribution is either one of two discrete probability distributions: The probability distribution…35 KB (5.094 Wörter) - 08:38, 7. Jul. 2025
- mathematics, Rolle's theorem or Rolle's lemma essentially states that any real-valued differentiable function that attains equal values at two distinct points…16 KB (2.020 Wörter) - 07:51, 16. Jul. 2025
- by simple geometric reasoning (see drawing) that can be extended to negative x as well. The second limit follows from the squeeze theorem and the fact…11 KB (1.752 Wörter) - 16:19, 8. Jul. 2025
- Bayes' theorem (alternatively Bayes' law or Bayes' rule, after Thomas Bayes) gives a mathematical rule for inverting conditional probabilities, allowing…49 KB (6.809 Wörter) - 02:57, 25. Jul. 2025
- In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b…103 KB (11.691 Wörter) - 23:23, 14. Jul. 2025
- In geometry, Radon's theorem on convex sets, published by Johann Radon in 1921, states that: Any set of d + 2 points in Rd can be partitioned into two…18 KB (2.437 Wörter) - 01:04, 23. Jul. 2025
- Min-max theorem). If T acts on Euclidean space R n {\displaystyle \mathbb {R} ^{n}} , there is a simple geometric interpretation for the singular values: Consider…10 KB (1.807 Wörter) - 00:18, 15. Mär. 2025
- defined as having positive value when F is between A and B and negative otherwise. The signed version of Menelaus's theorem states A F ¯ F B ¯ × B D ¯…11 KB (1.541 Wörter) - 15:38, 29. Jul. 2025
- AM–GM inequality (Weiterleitung von „Inequality of geometric and arithmetic means“)of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative real numbers is greater…40 KB (7.995 Wörter) - 23:37, 4. Jul. 2025
- the Riemann series theorem of mathematical analysis illustrates that the value of certain infinite sums involving positive and negative summands depends…52 KB (7.622 Wörter) - 18:58, 25. Jun. 2025
- Complex number (Weiterleitung von „Complex value“)complex number can also be defined by its geometric polar coordinates: the radius is called the absolute value of the complex number, while the angle from…91 KB (12.021 Wörter) - 23:32, 26. Jul. 2025
- Harmonic function (Weiterleitung von „Mean value property“)mean-value principle; a theorem of removal of singularities as well as a Liouville theorem holds for them in analogy to the corresponding theorems in complex…23 KB (3.471 Wörter) - 17:59, 21. Jun. 2025
- The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial…51 KB (7.637 Wörter) - 00:40, 20. Jul. 2025
- and Tarski showed the following theorem, which is also known as reflecting the "Banach-Tarski paradox": Theorem (Theorem of Banach and Tarski (1924)) Let
- Scheffers: Das Abel’sche Theorem und das Lie’sche Theorem über Translationsflächen, S. 65–91 T. Brodén: Sur l’emploi d’un théorème d’Abel dans la théorie
- well-known theorem of Serre \cite[Theorem III.3.7]{hartshorne}. \inputfakt{Noethersches Schema/Affin/Kohomologisches Kriterium/en/Fakt}{Theorem}{} { \faktsituation