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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 (5.401 Wörter) - 09:03, 18. 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
- 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
- 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
- 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
- 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
- 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
- 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 (1.511 Wörter) - 00:17, 20. Apr. 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
- 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
- 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
- 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
- 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
- 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
- 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
- Hahn–Banach theorem can be deduced from the above theorem. If X {\displaystyle X} is reflexive then this theorem solves the vector problem. A real-valued function…77 KB (12.648 Wörter) - 17:49, 23. Jul. 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
- FB is defined as having positive value when F is between A and B and negative otherwise. Ceva's theorem is a theorem of affine geometry, in the sense…14 KB (1.944 Wörter) - 08:09, 12. 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
- first (incomplete) proof of this theorem from 1799, the key is to show that for any sufficiently large negative value of b, all the roots of both Rp(x)(a…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