Derrick's theorem is an argument by physicist G. H. Derrick which shows that stationary localized solutions to a nonlinear wave equation or nonlinear...

Derrick's theorem Equipartition theorem Ehrenfest theorem Pokhozhaev's identity Statistical mechanics Clausius, RJE (1870). "On a Mechanical Theorem Applicable...

I. Pokhozhaev and is similar to the virial theorem. This relation is also known as G.H. Derrick's theorem. Similar identities can be derived for other...

In Euclidean geometry, Ptolemy's theorem is a relation between the four sides and two diagonals of a cyclic quadrilateral (a quadrilateral whose vertices...

generalized to Hamiltonian systems with a more general symmetry group. Derrick's theorem Linear stability Lyapunov stability Nonlinear Schrödinger equation...

than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself...

In mathematics, Niven's theorem, named after Ivan Niven, states that the only rational values of θ in the interval 0° ≤ θ ≤ 90° for which the sine of...

Last Theorem", PNAS, 40 (1): 25–33, Bibcode:1954PNAS...40...25L, doi:10.1073/pnas.40.1.25, PMC 527932, PMID 16589420 Brillhart, J. (1992). "Derrick Henry...

Investigation). 1918 – Emmy Noether's paper, which became known as Noether's theorem was presented at Göttingen, Germany, from which conservation laws are deduced...

1073/pnas.11.1.97. PMC 1085844. PMID 16586982. Lehmer, D. N. (1927). "A theorem on factorization". Bull. Amer. Math. Soc. 33 (1): 35–36. doi:10...

together they proved the Green–Tao theorem, which is well known among both amateur and professional mathematicians. This theorem states that there are arbitrarily...

{\displaystyle N-1} . The basic version of the test relies on the Pocklington theorem (or Pocklington criterion) which is formulated as follows: Let N > 1 {\displaystyle...

{\displaystyle {\bar {x}}} is assumed to be normal. By the central limit theorem, if the observations are independent and the second moment exists, then...

which he shared with Stephen Hawking for the Penrose–Hawking singularity theorems, and the 2020 Nobel Prize in Physics "for the discovery that black hole...

mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most ancient and widespread mathematical development, after...

Henrik Abel, Norwegian mathematician – Abelian group, Abel's theorem, Abel–Ruffini theorem Helmut Abt, German-born American astrophysicist - Abt's star...

\infty }{\frac {\pi (x)}{x/\log x}}=1.} This statement is the prime number theorem. An equivalent statement is lim x → ∞ π ( x ) li ⁡ ( x ) = 1 {\displaystyle...

defensible approximation to an interval scale, in which case the central limit theorem allows treatment of the data as interval data measuring a latent variable...

the Graham–Rothschild theorem in the Ramsey theory of parameter words and Graham's number derived from it, the Graham–Pollak theorem and Graham's pebbling...

of California, Berkeley (PhD) Known for Stark conjectures Stark–Heegner theorem Awards American Academy of Arts and Sciences United States National Academy...

between common property and open access resources. Radical environmentalist Derrick Jensen claims the tragedy of the commons is used as propaganda for private...

dystopian satire trilogy it forms with 1995's 12 Monkeys and 2013's The Zero Theorem (although he later denied having said this). Gilliam has stated that Brazil...

matter, which incorrectly predicted massless particles (the Goldstone's theorem). Higgs reportedly developed the fundamentals of his theory after returning...

Probability and Statistics. Springer. pp. 234–238. ISBN 1-85233-896-2. Derrick, Ben; Green, Elizabeth; Ritchie, Felix; White, Paul (September 2022). "The...

p + q ) n . {\displaystyle 1=1^{n}=(p+q)^{n}.} Using Newton's binomial theorem, this can equally be written as: ( p + q ) n = ∑ k = 0 ∞ ( n k ) p k q...

{3}}\\&=6-\sigma ,\end{aligned}}} where the first equality uses the Binomial Theorem in a finite field, which is ( x + y ) M p ≡ x M p + y M p ( mod M p ) {\displaystyle...

(2023) situates the meeting of the Holmes and Watson counterparts, Captain Derrick Miles and Dr. Frank Hooper, in Fort Worth, Texas, in 1876, with a historical...

Retrieved 2 September 2015. Adam, S., and Pardalos, P. (2019), No-free lunch Theorem: A review, in "Approximation and Optimization", Springer, 57-82 Wolpert...

of binary search". Knuth 1998, §6.2.1 ("Searching an ordered table"), "Theorem B". Chang 2003, p. 169. Knuth 1997, §2.3.4.5 ("Path length"). Knuth 1998...

Schultz Quentin Tarantino 2013 Epic Mandrake Chris Wedge Voice role The Zero Theorem Qohen Leth Terry Gilliam Also co-producer 2014 Muppets Most Wanted Himself...