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Type of plot in descriptive statistics and chaos theory
In descriptive statistics and chaos theory, a recurrence plot (RP) is a plot showing, for each moment j {\displaystyle j} in time, the times at which the
Recurrence_plot
Method of analysing a dynamical system
differently appearing recurrence plots (RPs), based on the small-scale structures therein. Recurrence plots are tools which visualise the recurrence behaviour of
Recurrence quantification analysis
Recurrence_quantification_analysis
Certain dynamical systems will eventually return to (or approximate) their initial state
In mathematics and physics, the Poincaré Recurrence Theorem is a foundational result in both dynamical systems and statistical mechanics. The theorem is
Poincaré_recurrence_theorem
Type of map used in mathematics, particularly dynamical systems
Poincaré map. A Poincaré map differs from a recurrence plot in that space, not time, determines when to plot a point. For instance, the locus of the Moon
Poincaré_map
Topics referred to by the same term
network Recurrence period density entropy, an information-theoretic method for summarising the recurrence properties of dynamical systems Recurrence plot, a
Recurrence
Graphical plot
recurrence plot. One way to visualize the similarity between two protein or nucleic acid sequences is to use a similarity matrix, known as a dot plot
Dot_plot_(bioinformatics)
Time series plot of a dynamical system
the plot, and the area of this ellipse can also be measured. Recurrence plot Poincaré map Heart rate variability (HRV), a use of Poincaré plots to assess
Poincaré_plot
purely periodic signals. Recurrence plot, a powerful visualisation tool of recurrences in dynamical (and other) systems. Recurrence quantification analysis
Recurrence period density entropy
Recurrence_period_density_entropy
Graphical technique for data sets
the population distribution. Recurrence plot : In descriptive statistics and chaos theory, a recurrence plot (RP) is a plot showing, for a given moment
Plot_(graphics)
spectral properties (e.g. IXEGRAM). A similarity plot can be the starting point for dot plots or recurrence plots. To construct a self-similarity matrix, one
Self-similarity_matrix
Feature of systems that defy description
stability Measure-preserving dynamical system Mixing Poincaré section Recurrence plot SRB measure Stable manifold Topological conjugacy Theorems Ergodic
Complexity
Field of mathematics and science based on non-linear systems and initial conditions
chaotic mathematical model or through analytical techniques such as recurrence plots and Poincaré maps. Chaos theory has applications in a variety of disciplines
Chaos_theory
Dimensionality measure in chaos theory
distance ε (a graphical representation of such close pairs is the recurrence plot). As the number of points tends to infinity, and the distance between
Correlation_dimension
forecasting. Autocorrelation plot Box plot Recurrence plot Run sequence plot Time series Seasonal plot Seasonal subseries plots can be implemented in the
Seasonal_subseries_plot
Process in bioinformatics that identifies equivalent sites within molecular sequences
the characters in the appropriate columns match—this is a typical recurrence plot. Some implementations vary the size or intensity of the dot depending
Sequence_alignment
Run chart Seasonal subseries plot Scatter plot Skewplot Ternary plot Recurrence plot Waterfall chart Violin plot Ulam spiral Nomogram Fitness landscape Weather
List_of_graphical_methods
Chaotic map from the torus into itself
main(path, 3) result.show() Mathematics portal List of chaotic maps Recurrence plot Vladimir I. Arnold; A. Avez (1967). Problèmes Ergodiques de la Mécanique
Arnold's_cat_map
Study of graphs as a representation of relations between discrete objects
are three methods to quantify degree correlations. The recurrence matrix of a recurrence plot can be considered as the adjacency matrix of an undirected
Network_theory
Matrix of binary truth values
transformed by 2 × 2 logical matrices, forms a transition system. A recurrence plot and its variants are matrices that shows which pairs of points are
Logical_matrix
Real-valued function that quantifies similarity between two objects
Estimate of the importance of a word in a document Recurrence plot — A visualization tool of recurrences in dynamical (and other) systems Vert, Jean-Philippe;
Similarity_measure
Theory in physics and mathematics
revisited. Alternately, conservative systems are those to which the Poincaré recurrence theorem applies. An important special case of conservative systems are
Conservative_system
Sequence of data points over time
Fractional Fourier transform Chaotic analysis Correlation dimension Recurrence plots Recurrence quantification analysis Lyapunov exponents Entropy encoding Time-series
Time_series
distribution Rectified Gaussian distribution Recurrence period density entropy Recurrence plot Recurrence quantification analysis Recursive Bayesian estimation
List_of_statistics_articles
German physicist
Meyerfeldt, Udo; Schirdewan, Alexander; Kurths, Jürgen (6 August 2002). "Recurrence Plot Based Measures of Complexity and its Application to Heart Rate Variability
Jürgen_Kurths
Endless sequence of integers
mathematics and computer science, Recamán's sequence is a sequence defined by a recurrence relation. Because its elements are related to the previous elements in
Recamán's_sequence
differential equations Bendixson–Dulac theorem Gradient conjecture Recurrence plot Limit cycle Initial value problem Clairaut's equation Singular solution
List of dynamical systems and differential equations topics
List_of_dynamical_systems_and_differential_equations_topics
2014 comic book
will die within two years as part of a ninety-year cycle known as the Recurrence. The series was announced on 9 January 2014, and the first issue was released
The_Wicked_+_The_Divine
1959 novel by Walter M. Miller Jr.
Hugo Award for best science fiction novel, and its themes of religion, recurrence, and church versus state have generated a significant body of scholarly
A_Canticle_for_Leibowitz
French researcher (born 1957)
matching of all sample data pairs between the two time series, as in recurrence plots. Then, the lag–lead structure is searched for as the optimal path in
Didier_Sornette
Polynomial sequence
as terminating Gaussian hypergeometric functions is useful to reveal recurrences, to demonstrate that they are special cases of Jacobi polynomials, to
Zernike_polynomials
British miniseries (2023)
indicating "generally favorable" reviews. The Irish Independent notes a recurrence of motifs, words (such as 'Know you are loved') and names (such as 'Harker'
Bodies_(2023_TV_series)
Periodic recurrence of the quantum wave function
In quantum mechanics, quantum revival is a periodic recurrence of the quantum wave function during its time-evolution. This can be either many times in
Quantum_revival
American businessman and inventor (1955–2011)
than 'a common bug', they weren't life-threatening and he doesn't have a recurrence of cancer." On August 28, 2008, Bloomberg mistakenly published a 2500-word
Steve_Jobs
barrier Rectilinear lens Rectilinear propagation Recuperator Recurrence plot Recurrence quantification analysis Red adaptation goggles Red clump Red dwarf
Index_of_physics_articles_(R)
Finite or infinite ordered list of elements
successive applications of the recurrence relation. The Fibonacci sequence is a simple classical example, defined by the recurrence relation a n = a n − 1 +
Sequence
American drama television series (1990–91, 2017)
the town's quaint appearance. Adding to the surreal atmosphere was the recurrence of Dale Cooper's dreams, in which the FBI agent is given clues to Laura's
Twin_Peaks
1958 film by Alfred Hitchcock
don't. His veiled citations indicate in their own way the unstoppable recurrence of the past...the score is not an illustration of the film but a metaphor
Vertigo_(film)
1994 film by Quentin Tarantino
(mentioned 18 times). In the Chicago Tribune, Todd Boyd argued that the word's recurrence "has the ability to signify the ultimate level of hipness for white males
Pulp_Fiction
1993 video game
Xak III: The Eternal Recurrence is the final game in a fantasy role-playing video game series called Xak developed and published by the Japanese software
Xak III: The Eternal Recurrence
Xak_III:_The_Eternal_Recurrence
Fictional character
no children. Emma has survived an episode of cancer, but experiences a recurrence which she does not survive. Leaphorn is devastated. Later, Leaphorn becomes
Joe_Leaphorn
American television sitcom (2007–2019)
Bang Theory. Season 1. Episode 6. October 29, 2007. CBS. "The Wheaton Recurrence". The Big Bang Theory. Season 3. Episode 19. April 12, 2010. CBS. "Did
The_Big_Bang_Theory
2014 aircraft disappearance
21 April 2016. "ICAO updates Annex 6 with requirements to help avoid recurrence of MH370-type disappearances". Aviation Safety Network. 7 March 2016.
Malaysia_Airlines_Flight_370
Syrian Ministry of Defense, Sipan Hamo, stated: "We urge Iraq to prevent a recurrence of these attacks, which threaten regional stability". Syrian forces were
Syria_in_the_2026_Iran_war
a scientific principle, theory or experiment, whimsically referencing a plot point or quirk in that episode. During the course of the series, 279 episodes
List of The Big Bang Theory episodes
List_of_The_Big_Bang_Theory_episodes
4th episode of the 1st season of The X-Files
foundation for the recurrence of Fox Mulder's obsession with finding his missing sister, which would come to be one of the main plot threads of the series
Conduit_(The_X-Files)
Symbolic serpent with its tail in its mouth
Ensō Eternal return (Eliade) Eternalism (philosophy of time) Historic recurrence Hoop snake Infinite loop Kulshedra Möbius strip Quine (computing) Self-fulfilling
Ouroboros
British passenger liner that sank in 1912
planned to discover what had happened, and what could be done to prevent a recurrence. Inquiries were held in both the United States and the United Kingdom
Titanic
Natural number
whole number. 9999 can be used as a divisor to generate 4-digit decimal recurrences. For example, 1234 / 9999 = 0.123412341234... . 9999 is a Kaprekar number
9999_(number)
1866 novel by Fyodor Dostoevsky
distribution of certain key episodes throughout the novel's six parts. The recurrence of these episodes in the two halves of the novel, as David Bethea has
Crime_and_Punishment
one of the Valleys of Westmoreland, on Easter Sunday 1819 "With each recurrence of this glorious morn" Miscellaneous Sonnets 1819 Composed on Easter Sunday
List of poems by William Wordsworth
List_of_poems_by_William_Wordsworth
1955 book by John Kenneth Galbraith
knowledge of what happened in 1929 was the best safeguard against its recurrence. Galbraith wrote the book during a break from working on the manuscript
The_Great_Crash,_1929
American rock band
in 1994, which was interrupted in September because of Frey's serious recurrence of diverticulitis, but it resumed in 1995 and continued into 1996. In
Eagles_(band)
Habsburg consort from 1854 to 1898
fever. She ate hardly anything and slept badly, and Škoda observed a recurrence of her lung disease. A fresh rest cure was advised, this time on Corfu
Empress_Elisabeth_of_Austria
Japanese animator and artist (born 1941)
frequently subject to scholarly analysis and have been characterized by the recurrence of themes such as humanity's relationship with nature and technology,
Hayao_Miyazaki
Tabular arrangement of the chemical elements
elements are arranged in order of their atomic numbers an approximate recurrence of their properties is evident. The table is divided into four roughly
Periodic_table
Fictional hitman
chose the name "Anton Chigurh" because it "sounded cool". Chigurh is a recurrence of the "Unstoppable Evil" archetype frequently found in McCarthy's work
Anton_Chigurh
1977 radio signal detected as part of SETI
feed horns, but that did not happen. Ehman unsuccessfully searched for recurrences using Big Ear in the months after the detection. In 1987 and 1989, Robert
Wow!_signal
Italian ocean liner that sank in 1956
rule changes in the immediate years following the incident to avoid a recurrence. Since this was essentially a radar-assisted collision event, in which
SS_Andrea_Doria
Eight disciplines of team-oriented problem solving method
D7: Prevent Recurrence / System Problems: Modify the management systems, operation systems, practices, and procedures to prevent recurrence of this and
Eight disciplines problem solving
Eight_disciplines_problem_solving
Genetic disorder
all races, its association with older maternal age, and its rarity of recurrence had been noticed. Medical texts had assumed it was caused by a combination
Down_syndrome
British statesman and writer (1874–1965)
September, still working on Marlborough. Two days later, he collapsed after a recurrence of paratyphoid which caused an ulcer to haemorrhage. He was taken to a
Winston_Churchill
2012 film by Rian Johnson
retro trench coats and firearms also suggest a sort of eternal recurrence, and as Looper's plot gets more complex, its central question simplifies: If we can't
Looper_(film)
Association of one output to each input
the nonnegative integers, known as sequences, are sometimes defined by recurrence relations. The factorial function on the nonnegative integers ( n ↦ n
Function_(mathematics)
Cereal grain and staple food
treat diarrheal diseases, thereby shortening their duration and reducing recurrence. Such supplements may also help reverse anaemia. In areas subject to flooding
Rice
Sequence of differential equation solutions
x ) = 1 − x {\displaystyle L_{1}(x)=1-x} and then using the following recurrence relation for any k ≥ 1: L k + 1 ( x ) = ( 2 k + 1 − x ) L k ( x ) − k
Laguerre_polynomials
American crime drama television miniseries by HBO
Richard Price and Steven Zaillian (based on the original Criminal Justice plot by Peter Moffat), and directed by Zaillian and James Marsh. Broadcast on
The_Night_Of
Simple polynomial map exhibiting chaotic behavior
dynamical system defined by the quadratic difference equation It is a recurrence relation and a polynomial mapping of degree 2. It is often referred to
Logistic_map
such as Sandy Hook and Robb Elementary, involved younger students. The recurrence of school shootings has generated debate over a range of issues, including
List of school shootings in the United States by death toll
List_of_school_shootings_in_the_United_States_by_death_toll
Specific aspects of Benjamin Banneker's life and legacy
Banneker "is believed to have been the first person to document this noisy recurrence" of the insect. At least one writer has stated that such claims are incorrect
Mythology of Benjamin Banneker
Mythology_of_Benjamin_Banneker
Observation that in many real-life datasets, the leading digit is likely to be small
correlation between the first and second digits: ρ = 0.0561. Historic recurrence Zipf's law They should strictly be bars but are shown as lines for clarity
Benford's_law
1915 novel by P. D. Ouspensky
novel serves as a narrative platform for Nietzsche's theory of eternal recurrence. The conclusion fully anticipates the Fourth Way philosophy, which typified
Strange_Life_of_Ivan_Osokin
1973 film by William Friedkin
audience not expecting it so soon after the crucifix scene. He believes its recurrence during the exorcism was added on set since it is in neither the novel
The_Exorcist
Political system
Jessica Maves; Sudduth, Jun Koga (January 2016). "Military purges and the recurrence of civil conflict". Research & Politics. 3 (1) 2053168016630730. doi:10
Authoritarianism
Thriller film by Sam Peckinpah
sequence – and instead set a tone of meticulous realism which relies on the recurrence of vindictive incident, escalating from the comic to the sinister to the
Straw_Dogs_(1971_film)
2016 animated Disney film
film rights prevented them from continuing with that project. To avoid a recurrence of that issue, they pitched three original ideas. The genesis of one of
Moana_(2016_film)
Northern Irish golfer (born 1989)
shows recurrence of rib injury". Golf Channel. 15 May 2017. Archived from the original on 5 December 2020. Retrieved 11 March 2019. "McIlroy plots ambitious
Rory_McIlroy
2014 film by Matty Beckerman
the Brown Mountain Lights and mysterious abductions have been a local recurrence for centuries. After receiving a radio message from his brother Scott
Alien_Abduction_(2014_film)
German novelist (1875–1955)
biblical-mythical motifs and the question of origins as well as the eternal recurrence of the same "mythical" stories, in Doctor Faustus with the historical-political
Thomas_Mann
Probability distribution
law growth of entropy of language or a stochastic process Historical recurrence – Repetition of similar events in history King effect – Phenomenon in
Zipf's_law
Family of solutions to related differential equations
x}J_{\alpha }(x)-J_{\alpha +1}(x)} These formulas can be used to determine a recurrence relation for J α ( x ) {\displaystyle J_{\alpha }(x)} , a more general
Bessel_function
her buying drugs. However, it was revealed that she was dealing with a recurrence of breast cancer, and that the pills were actually for medical purposes
List of One Tree Hill characters
List_of_One_Tree_Hill_characters
Lists of values of mathematical functions
values obtained were to be plotted, this algorithm would draw a logarithmic spiral rather than a circle. A simple recurrence formula to generate trigonometric
Trigonometric_table
Pair of polynomial sequences
(German). The Chebyshev polynomials of the first kind can be defined by the recurrence relation T 0 ( x ) = 1 , T 1 ( x ) = x , T n + 1 ( x ) = 2 x T n ( x )
Chebyshev_polynomials
American actress (1921–1995)
Sentinel Staff (July 23, 1994). "Lana Turner Determined to Beat Cancer Recurrence". Orlando Sentinel. Orlando, FL. p. A2. Archived from the original on
Lana_Turner
Religion of the Jewish people
Machzorim (מַחְזוֹרִים, Maḥzôrîm; sing., מַחְזוֹר, maḥzôr, lit. 'cycle' or 'recurrence'), which are used only during the High Holy Days Other works on the Jewish
Judaism
Austrian esotericist (1861–1925)
thought had not the least influence....Nietzsche's ideas of the 'eternal recurrence' and of 'Übermensch' remained long in my mind. For in these was reflected
Rudolf_Steiner
Possible fate of the universe
spontaneous entropy decrease could eventually occur via the Poincaré recurrence theorem,[additional citation(s) needed] thermal fluctuations, and fluctuation
Heat_death_of_the_universe
Political party in Poland
exploitation, against statism and bureaucratic Talmudism; both against the recurrence of socialism and against the threats of anti-national liberalism, which
Confederation of the Polish Crown
Confederation_of_the_Polish_Crown
Type of signal filter
x_{i}-y_{i}=RC\,{\frac {y_{i}-y_{i-1}}{\Delta _{T}}}.} Rearranging terms gives the recurrence relation y i = x i ( Δ T R C + Δ T ) ⏞ Input contribution + y i − 1 (
Low-pass_filter
2000 double child murder in Norway
sentence by four years arguing that there was a real and qualified risk of recurrence of the Baneheia crimes. In the process, Viggo Kristiansen had experienced
Baneheia_murders
Long-form xkcd strip by Randall Munroe
in the future in the basin of the Mediterranean Sea during a supposed recurrence of the Zanclean flood, features two characters journeying uphill to discover
Time_(xkcd)
Illegal attempt to unseat an incumbent
Jessica Maves; Sudduth, Jun Koga (January 2016). "Military purges and the recurrence of civil conflict". Research & Politics. 3 (1) 2053168016630730. doi:10
Coup_d'état
Concept in psychology, literature, philosophy
in literature, painting, or mythology. This definition refers to the recurrence of characters or ideas sharing similar traits throughout various, seemingly
Archetype
French footballer (born 1993)
following game, a 1–1 home draw against Arsenal, where he suffered a recurrence of his injury but also made his 100th appearance for the club. In late
Paul_Pogba
American science fiction author (1928–1982)
it to be intelligent. On one occasion, he was startled by a separate recurrence of the pink beam, which imparted the information that his infant son was
Philip_K._Dick
oscillation in hertz is the number of times the cycle repeats per second. The recurrence may be in the form of a varying voltage or a varying current. The waveform
Electronic_oscillation
English writer (1797–1851)
interpreted as masked rewritings of her life. Critics have pointed to the recurrence of the father–daughter motif in particular as evidence of this autobiographical
Mary_Shelley
Meromorphic function
= 0 case above but which has an extra term e−t/t. It satisfies the recurrence relation ψ ( m ) ( z + 1 ) = ψ ( m ) ( z ) + ( − 1 ) m m ! z m + 1 {\displaystyle
Polygamma_function
2019 film
in love with a drug-addict named Moses shortly before she has a cancer recurrence. Milla Finlay is a 16-year-old school girl, recently diagnosed with cancer
Babyteeth_(film)
Type of mathematical sequence
{\displaystyle N^{-1+\varepsilon }} above. The recurrence relation above is similar to the recurrence relation used by a linear congruential generator
Low-discrepancy_sequence
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