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Physics theorem argued by G. H. Derrick
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
Physics theorem
In mechanics, the virial theorem provides a general equation that relates the average over time of the total kinetic energy of a stable system of discrete
Virial_theorem
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
Pokhozhaev's_identity
Relates the 4 sides and 2 diagonals of a quadrilateral with vertices on a common circle
In Euclidean geometry, Ptolemy's theorem is a relation between the four sides and two diagonals of a cyclic quadrilateral (a quadrilateral whose vertices
Ptolemy's_theorem
Number divisible only by 1 and itself
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
Prime_number
Theorem on rational values of the sine
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
Niven's_theorem
generalized to Hamiltonian systems with a more general symmetry group. Derrick's theorem Linear stability Lyapunov stability Nonlinear Schrödinger equation
Vakhitov–Kolokolov stability criterion
Vakhitov–Kolokolov_stability_criterion
American mathematician (1905–1991)
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
D._H._Lehmer
Australian and American mathematician (born 1975)
and Sciences. Among his contributions to mathematics is the Green–Tao theorem on prime numbers, which he proved in 2004 in collaboration with Ben Green
Terence_Tao
American mathematician (1867–1938)
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
Derrick_Norman_Lehmer
Number-theoretic algorithm
{\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
Pocklington_primality_test
English mathematician, mathematical physicist (born 1931)
Prize in Physics with Stephen Hawking for the Penrose–Hawking singularity theorems, and the 2020 Nobel Prize in Physics "for the discovery that black hole
Roger_Penrose
Statistical hypothesis test
{\displaystyle {\bar {x}}} is assumed to be normal. By the central limit theorem, if the observations are independent and the second moment exists, then
Student's_t-test
Overuse of a shared resource
common-pool resources and open access resources. Radical environmentalist Derrick Jensen claims the tragedy of the commons is used as propaganda for private
Tragedy_of_the_commons
mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most ancient and widespread mathematical development, after
History_of_mathematics
1985 film by Terry Gilliam
of a dystopian satire trilogy, preceding 12 Monkeys (1995) and The Zero Theorem (2013), although he later denied having said this. Gilliam has stated that
Brazil_(1985_film)
1997 film by Gus Van Sant
physics discoveries are often made by a group, while solving a mathematical theorem can be an individual endeavour. Kleitman and mathematician Tom Bohman gave
Good_Will_Hunting
Psychometric measurement scale
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
Likert_scale
Brothers Grimm (2005), The Imaginarium of Doctor Parnassus (2009), The Zero Theorem (2013) John Gilling Sid James Escape by Night (1953), Interpol (1957),
List of film director and actor collaborations
List_of_film_director_and_actor_collaborations
1887 detective novel by Arthur Conan Doyle
(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
A_Study_in_Scarlet
Belgian theoretical physicist and Nobel Prize laureate (1932–2026)
encounters in material systems. Focusing on the failure of the Goldstone theorem for gauge fields, Higgs reached essentially the same result. A third paper
François_Englert
Function representing the number of primes less than or equal to a given number
\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
Prime-counting_function
Data visualization
Probability and Statistics. Springer. pp. 234–238. ISBN 1-85233-896-2. Derrick, Ben; Green, Elizabeth; Ritchie, Felix; White, Paul (September 2022). "The
Box_plot
American mathematician
of California, Berkeley (PhD) Known for Stark conjectures Stark–Heegner theorem Awards American Academy of Arts and Sciences United States National Academy
Harold_Stark
Compact astronomical body
physicists to produce a body of work that became known as the no-hair theorem, which states that a stationary black hole is completely described by the
Black_hole
Probability distribution
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
Negative binomial distribution
Negative_binomial_distribution
Imperial dynasty in China (202 BC – 220 AD)
some reaching depths of more than 100 m (330 ft). Borehole drilling and derricks were used to lift brine to iron pans where it was distilled into salt.
Han_dynasty
Proposed lower bound on the Mahler measure for polynomials with integer coefficients
but not at any root of unity, then the same convergence holds by Baker's theorem (in fact an earlier result of Gelfond is sufficient for this, as pointed
Lehmer's_conjecture
Philosophical problem-solving principle
Retrieved 2 September 2015. Adam, S., and Pardalos, P. (2019), No-free lunch Theorem: A review, in "Approximation and Optimization", Springer, 57–82 Wolpert
Occam's_razor
freedom, mass and spin. Together, these findings became known as the no-hair theorem, which states that a stationary black hole is completely described by the
History_of_black_hole_physics
British theoretical physicist (1929–2024)
matter, which incorrectly predicted massless particles (the Goldstone's theorem). Higgs reportedly developed the fundamentals of his theory after returning
Peter_Higgs
Algorithm for generating pseudo-randomized numbers
divisible by 4. These three requirements are referred to as the Hull–Dobell Theorem. This form may be used with any m, but only works well for m with many
Linear_congruential_generator
Quentin Tarantino 2013 Epic Mandrake (voice) English Chris Wedge The Zero Theorem Qohen Leth Terry Gilliam Also co-producer 2014 Muppets Most Wanted Himself
Christoph_Waltz_filmography
American mathematician (1935–2020)
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
Ronald_Graham
List of terms created from a person's name
Henrik Abel, Norwegian mathematician – abelian group, Abel's theorem, Abel–Ruffini theorem Helmut Abt, German-born American astrophysicist - Abt's star
List_of_eponyms_(A–K)
Katherine Way Bohr–Van Leeuwen theorem in thermodynamics, partially named after Hendrika Johanna van Leeuwen Byers–Yang theorem, in condensed matter physics
Women_in_physics
Primality test for certain numbers
the form N = k · 2n + 1 (Proth numbers), either application of Proth's theorem (a Las Vegas algorithm) or one of the deterministic proofs described in
Lucas–Lehmer–Riesel_test
proofs into formal proofs in order to automatically verify them. Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated
Applications of artificial intelligence
Applications_of_artificial_intelligence
Test if a Mersenne number is prime
{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
Lucas–Lehmer_primality_test
Root-finding algorithm
statements follow. The other two statements are a consequence of Rouché's theorem applied on the unit circle to the functions p ( 0 ) ¯ p ( z ) / r ( z )
Lehmer–Schur_algorithm
Electrical transmission without physical connection
1884 John Henry Poynting defined the Poynting vector and gave Poynting's theorem, which describe the flow of power across an area within electromagnetic
Wireless_power_transfer
Fourth standardized moment in statistics
doi:10.1080/00031305.2014.917055, PMC 4321753, PMID 25678714 Joanes, Derrick N.; Gill, Christine A. (1998), "Comparing measures of sample skewness and
Kurtosis
Search algorithm finding the position of a target value within a sorted array
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
Binary_search
American mathematician and politician (born 1977)
Mathematics in 2003, saying "unfortunately this simple mistake destroys the main theorems of both papers". In 2008 and 2009, Biss acknowledged the flaw and published
Daniel_Biss
theoretical physicist (Yang–Mills theory, Wu–Yang dictionary, Lee–Yang theorem), Nobel Prize laureate (1957). István Ágh, 87, Hungarian poet. Trevor Bentham
Deaths_in_October_2025
Sun proved a theorem about what are now known as the Wall–Sun–Sun primes that guided the search for counterexamples to Fermat's Last Theorem. Wall was born
Donald_Dines_Wall
Type of statistical analysis
induced by f {\displaystyle f} and g {\displaystyle g} . By Scheffé's theorem, the total variation distance T V ( P f , P g ) {\displaystyle \mathrm
Nonparametric_statistics
French mathematician (1842–1891)
a century, and remains the largest prime number proved by hand. Later Derrick Henry Lehmer refined Lucas's primality tests and obtained the Lucas–Lehmer
Édouard_Lucas
Statistical hypothesis test
655–667. doi:10.1080/01621459.1959.10501526. Pratt, p. 659 Pratt, p. 663 Derrick, B; White, P (2017). "Comparing Two Samples from an Individual Likert Question"
Wilcoxon_signed-rank_test
Malgrange, 95, French mathematician (Malgrange–Ehrenpreis theorem, Malgrange preparation theorem), member of the French Academy of Sciences. Jack Masters
Deaths_in_January_2024
State of Nigeria
the 1985 ICTP Prize and developed a special solution for Fermat's last theorem; Professor Samuel Okoye – black Africa's first PhD in radio astronomy;
Anambra_State
Hamilton, 81, American mathematician (Ricci flow, Earle–Hamilton fixed-point theorem). Patrick Hobson, 91, British Anglican clergyman. Faina Kirillova, 93,
Deaths_in_September_2024
Certain constant-recursive integer sequences
generalizes Fermat's little theorem. These facts are used in the Lucas–Lehmer primality test. Like Fermat's little theorem, the converse of the last fact
Lucas_sequence
Aspect of computer science
by proving “challenge” theorems concerning properties that the specification is expected to exhibit. If correct, these theorems reinforce the specifier's
Formal_specification
Group intelligence that emerges from collective efforts
at the time) began in 1785 with the Marquis de Condorcet, whose "jury theorem" states that if each member of a voting group is more likely than not to
Collective_intelligence
Molecular diffusion under the effect of a thermal gradient
small, will have the same energy of motion. The proof of this dynamical theorem, in which I claim the priority, has recently been greatly developed and
Thermophoresis
Stone, 85, American mathematician at Harvard (Stone–von Neumann uniqueness theorem), stroke. Bill Terry, 90, American Major League baseball player (New York
Deaths_in_January_1989
Surname list
mathematician John Stewart Bell (1928–1990), British physicist originated Bell's Theorem John Thomas Bell (1878–1965), British businessman, founder of Bellway home
Bell_(surname)
American annual event
Spacelings & Baseheads Space Time Continuum Stacey Pullen Theo Parrish Theorem Tikiman Urban Tribe Clark Warner Alan Ester Lacksidaisycal & Montana RX-7
Detroit Electronic Music Festival
Detroit_Electronic_Music_Festival
Summatory function of the Möbius function
multiple non-trivial zeros, one has the "exact formula" by the residue theorem: M ( x ) = ∑ ρ x ρ ρ ζ ′ ( ρ ) − 2 + ∑ n = 1 ∞ ( − 1 ) n − 1 ( 2 π ) 2
Mertens_function
Statistical concept
and Child Development. 33 e2407. doi:10.1002/icd.2407. ISSN 1522-7227. Derrick, B; Russ, B; Toher, D; White, P (2017). "Test Statistics for the Comparison
Missing_data
Turkish mathematician
ISBN 9781316602935. Erdog̃an, M. Burak (2005). "A bilinear Fourier extension theorem and applications to the distance set problem". International Mathematics
Mehmet_Burak_Erdoğan
1959) – mathematician who proved (with Robert I. Soare) the low basis theorem, with applications to recursion theory and reverse mathematics Steven E
List of Vanderbilt University people
List_of_Vanderbilt_University_people
U.S. Navy admiral Herbert J. Ryser, mathematician, Bruck-Chowla-Ryser theorem and Ryser formula are named for him Ben L. Salomon, Medal of Honor recipient
List_of_people_from_Milwaukee
English economist and logician (1835–1882)
Bibcode:1889Natur..39..413B. doi:10.1038/039413c0. S2CID 4084336. Lehmer, D.N., "A Theorem in the Theory of Numbers", read before the San Francisco Section of the
William_Stanley_Jevons
computer to prove the four color theorem. Andrew Wiles, building on the work of others, proved Fermat's Last Theorem in 1995. In 1998 Thomas Callister
20th_century_in_science
Open-source NoSQL database
separate nodes of the cluster if needed. In the parlance of Eric Brewer's CAP theorem, Couchbase is normally a CP type system meaning it provides consistency
Couchbase_Server
Fatou defines the Mandelbrot set. Oswald Veblen proves the Jordan curve theorem. Martin Kutta describes the popular fourth-order Runge-Kutta method. James
1905_in_science
Berkeley; known for the Morse–Kelley set theory, Morse–Sard theorem and the Federer–Morse theorem John Mylopoulos (Sc.B. 1966) – professor emeritus of Computer
List of Brown University alumni
List_of_Brown_University_alumni
Day of the year
Investigation). 1918 – Emmy Noether's paper, which became known as Noether's theorem was presented at Göttingen, Germany, from which conservation laws are deduced
July_26
Palmeiras) and coach. Sergei Godunov, 93, Russian mathematician (Godunov's theorem, Godunov's scheme), member of the Russian Academy of Sciences. Yrjö Hakala
Deaths_in_July_2023
the drilling of deep boreholes into the earth, the Chinese used not only derricks to lift brine up to the surface to be boiled into salt, but also set up
Science and technology of the Han dynasty
Science_and_technology_of_the_Han_dynasty
Japanese mathematical physicist and mathematician (Wigner–Araki–Yanase theorem), co-founder of Reviews in Mathematical Physics. Henry Berg-Brousseau,
Deaths_in_December_2022
comparison theorems for second order linear differential equation. Lincoln, Nebraska: University of Nebraska Press. OCLC 36986587. Weddington, Donald Derrick (1968)
List of African-American mathematicians
List_of_African-American_mathematicians
Mathematic formula for deriving a mean
mean of a tuple x {\displaystyle x} of positive real numbers, named after Derrick Henry Lehmer, is defined as: L p ( x ) = ∑ k = 1 n x k p ∑ k = 1 n x k
Lehmer_mean
Academic division of the University of Toronto
Turing Award for formalizing the notion of NP-completeness through Cook's theorem, considered one of the forefathers of computational complexity theory.
University of Toronto Faculty of Arts and Science
University_of_Toronto_Faculty_of_Arts_and_Science
process Ravindra Khattree (PhD) – statistician of Fountain-Khattree-Peddada Theorem fame; author and editor Charles Glen King (MS 1920, PhD 1923, faculty)
List of University of Pittsburgh alumni
List_of_University_of_Pittsburgh_alumni
Month of 1974
mathematician known for Denjoy's theorem on rotation number, and the Denjoy–Luzin theorem, Denjoy–Riesz theorem, Denjoy–Wolff theorem and the Denjoy–Koksma inequality
January_1974
17 August 2020. Bong, Kok-Wei; et al. (17 August 2020). "A strong no-go theorem on the Wigner's friend paradox". Nature Physics. 27 (12): 1199–1205. arXiv:1907
2020_in_science
Spanish mathematician
classical study. The usual topics are covered such as (4) Fundamental theorem of projective geometry, (11) projective plane, (12) cross-ratio, (13) harmonic
Luis_Santaló
History Museum Timeline of computers. Derrick Lehmer, B.S. — used the SWAC computer to prove fermat's last theorem for all prime exponents under 4002. Using
List of University of California, Berkeley alumni in science and technology
List_of_University_of_California,_Berkeley_alumni_in_science_and_technology
Crittenton, Thaddeus Young, Jarrett Jack, Luke Schenscher, Stephon Marbury, Derrick Favors, Iman Shumpert, Chris Bosh, and Travis Best. Award-winning baseball
List of Georgia Institute of Technology alumni
List_of_Georgia_Institute_of_Technology_alumni
1922) 6 November – Peter Hilton, mathematician, discoverer of Hilton's theorem (b. 1923) 7 November – Chris Goudge, Olympic athlete (b. 1935) 9 November
2010_in_the_United_Kingdom
DERRICKS THEOREM
DERRICKS THEOREM
Boy/Male
Norse German
War chief.
Surname or Lastname
Welsh
Welsh : from the Welsh personal name Meurig, a form of Maurice, Latin Mauritius (see Morris).English : from an Old French personal name introduced to Britain by the Normans, composed of the Germanic elements meri, mari ‘fame’ + rīc ‘power’.Scottish : habitational name from a place near Minigaff in the county of Dumfries and Galloway, so called from Gaelic meurach ‘branch or fork of a road or river’.Irish : when not Welsh or English in origin, probably an Anglicized form of Gaelic Ó Mearadhaigh (see Merry).
Boy/Male
Gaelic Irish American English Teutonic
Strong; oak-hearted. See also Derek.
Boy/Male
English
King's rule. Surname.
Boy/Male
British, English
Royal Ruler
Surname or Lastname
English
English : from Old English Cynerīc ‘family ruler’.
Boy/Male
African, American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Jamaican, Swedish
Ruler of the People; Form of Derek; Ruler; People's Ruler; First of the People; King of Nations
Boy/Male
American, British, English
Royal Ruler; King's Ruler
Boy/Male
Teutonic American Dutch English German
Rules the people.
Surname or Lastname
English
English : from the Old Norse personal name EirÃkr, composed of the elements eir ‘mercy’, ‘peace’ + rÃk ‘power’. The addition in English of an inorganic H- to names beginning with a vowel is a relatively common phenomenon. It is possible that this name may have swallowed up a less common Germanic personal name with the first element heri, hari ‘army’.Dutch : from a Germanic personal name composed of the elements heri, hari ‘army’ + rÄ«c ‘power’, or from an assimilated form of Henrick, a Dutch form of Henry.Irish : Anglicized form of Gaelic Ó hEirc ‘descendant of Erc’, a personal name meaning ‘speckled’, ‘dark red’, or ‘salmon’. There was a saint of this name. The surname is born by families in Munster and Ulster, where it has usually been changed to Harkin.The English poet Robert Herrick (1591-1674) was from a prosperous family of goldsmiths, who had a long association with the city of Leicester. There is a family tradition that they were of Scandinavian origin, descended from Eric the Forester, who settled in the city in the 11th century. The initial aspirate came into the name in the late 16th cedntury; the name of the poet's great-grandfather is recorded in the corporation books of the city of Leicester in 1511 as Thomas Ericke.
Boy/Male
English
Strong; gifted ruler. Blend of Jer- and Derrick.
Boy/Male
English
Leader.
Male
English
Variant spelling of English Derek, DERICK means "first of the people; king of nations."
Boy/Male
French
Of the King.
Girl/Female
English
Gifted ruler. Modern feminine of Derek.
Boy/Male
Teutonic Welsh
Strong ruler.
Girl/Female
English
Gifted ruler. Modern feminine of Derek.
Boy/Male
German American English
People's ruler.
Male
English
Variant spelling of English Derek, DERRICK means "first of the people; king of nations."
Surname or Lastname
English and Dutch
English and Dutch : from the personal name Derrick (now more commonly spelled Derek in England, earlier Dederick), which was introduced to England in the 15th century, from Dutch Diederick, Dirck (see Terry).Irish : an English introduction of the same origin as 1, but occasionally a variant of Derrig.
DERRICKS THEOREM
DERRICKS THEOREM
Boy/Male
Hindu
Lord Krishna, Descendent of Yadu
Boy/Male
Indian, Punjabi, Sikh
Craving Lamp
Girl/Female
British, English
Battle-seasoned
Surname or Lastname
English
English : variant spelling of Reynolds.
Girl/Female
Indian
Garden, Gulshan
Girl/Female
Indian, Tamil
Pure or Purity
Boy/Male
Australian, Basque, Chinese, Danish, French, German, Hawaiian, Hebrew, Swiss
Rock; Cliff; God's Grace; God is Gracious
Boy/Male
Indian
Lord Vinayaka
Boy/Male
Indian, Punjabi, Sikh
Exalted in Naam
Girl/Female
Hindu
Wife of Manu, Born of Man
DERRICKS THEOREM
DERRICKS THEOREM
DERRICKS THEOREM
DERRICKS THEOREM
DERRICKS THEOREM
n.
A long spar or beam, projecting from the mast of a derrick, from the outer end of which the body to be lifted is suspended.
n.
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
a.
A movable winch or windlass with powerful gearing, used with derricks, etc.
n.
A European marine fish (Belone vulgaris); -- called also gar, gerrick, greenback, greenbone, gorebill, hornfish, longnose, mackerel guide, sea needle, and sea pike.
n.
One who constructs theorems.
n.
A numerical coefficient in any particular case of the binomial theorem.
n.
A rope, chain, or rod attached to anything to steady it; as: a rope to steady or guide an object which is being hoisted or lowered; a rope which holds in place the end of a boom, spar, or yard in a ship; a chain or wire rope connecting a suspension bridge with the land on either side to prevent lateral swaying; a rod or rope attached to the top of a structure, as of a derrick, and extending obliquely to the ground, where it is fastened.
n.
That which is considered and established as a principle; hence, sometimes, a rule.
n.
The vertical post of a derrick or crane.
a.
Theorematic.
a.
Alt. of Theorematical
n.
A statement of a principle to be demonstrated.
a.
Of or pertaining to a theorem or theorems; comprised in a theorem; consisting of theorems.
n.
A machine for raising and lowering heavy weights, and, while holding them suspended, transporting them through a limited lateral distance. In one form it consists of a projecting arm or jib of timber or iron, a rotating post or base, and the necessary tackle, windlass, etc.; -- so called from a fancied similarity between its arm and the neck of a crane See Illust. of Derrick.
n.
A mast, spar, or tall frame, supported at the top by stays or guys, with suitable tackle for hoisting heavy weights, as stones in building.
v. t.
To formulate into a theorem.
a.
Containing many names or terms; multinominal; as, the polynomial theorem.
n.
A theorem or proposition so easy of demonstration as to be almost self-evident.