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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
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
Certain dynamical systems will eventually return to (or approximate) their initial state
In mathematics and physics, the Poincaré Recurrence Theorem states that if a system has a finite volume (or total probability measure) and preserves that
Poincaré_recurrence_theorem
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)
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
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
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
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
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
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
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
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
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
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
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
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
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 "Distance vs Similarity
Similarity_measure
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
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
British science fiction miniseries
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)
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
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
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
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 an=an−1+an−2, with
Sequence
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
Tabular arrangement of the chemical elements
elements are arranged in order of their atomic numbers an approximate recurrence of their properties is evident. Vertical, horizontal and diagonal trends
Periodic_table
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
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
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
Pair of polynomial sequences
by the recurrence relation T0(x)=1,T1(x)=x,Tn+1(x)=2xTn(x)−Tn−1(x). The Chebyshev polynomials of the second kind can be defined by the recurrence relation
Chebyshev_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
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)
American businessman and investor (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
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
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
1984 Czech novel by Milan Kundera
estranged son from an earlier marriage. Challenging the concept of eternal recurrence (the idea that the universe and its events have already occurred and will
The Unbearable Lightness of Being
The_Unbearable_Lightness_of_Being
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
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)
Physical law for entropy and heat
one cannot observe the recurrence. One might wish, nevertheless, to imagine that one could wait for the Poincaré recurrence, and then re-insert the wall
Second_law_of_thermodynamics
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
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
Japanese manga series by Lynn Okamoto
Mariko being born a Diclonius and Kurama taking precautions against a recurrence by urging Bando to be sterilized. All Silpelits are sterile, female and
Elfen_Lied
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
English filmmaker (1899–1980)
detail and every detail related to the whole." Critics have traced the recurrence of guilt, confession and transferred blame in his films to Hitchcock's
Alfred_Hitchcock
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
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
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
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
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
barrier Rectilinear lens Rectilinear propagation Recuperator Recurrence plot Recurrence quantification analysis Red adaptation goggles Red clump Red dwarf
Index_of_physics_articles_(R)
2026 Spanish film
2026). "'Viva' Review: A Breast Cancer Survivor Runs From a Potential Recurrence by Embracing Life". Variety. Hoeij, Boyd van (14 May 2026). "'Alive' review:
Alive_(2026_film)
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
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
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
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
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
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
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
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
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)
Probability distribution
functions, which converge for all real and complex values of x. The recurrence relation for Hermite polynomials Hen(x) may be used to efficiently construct
Normal_distribution
Congregation mosque in Jerusalem
backdrop of renewed Byzantine offensive action against Islamic Syria. Recurrences of mob violence by the city's Muslims against Christians are reported
Al-Aqsa_Mosque
Mathematical curve outputted from a specific pair of parametric equations
Norwich, Yarmouth, & London: Jarrold & Sons Printers. Sierra, C.A. (2023). "Recurrence in Lissajous Curves and the Visual Representation of Tuning Systems".
Lissajous_curve
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
1993 US law enforcement siege in Texas
public mind, and the FBI was extremely cautious and wanted to prevent a recurrence of those violent events. After 81 days of negotiations, the Freemen surrendered
Waco_siege
Emperor of China from 221 to 210 BC
various regions in modern Guangdong and Vietnam. In an attempt to avoid a recurrence of the political chaos of the Warring States period, Qin Shi Huang and
Qin_Shi_Huang
American comedian and actor (born 1981)
thorough and necessary program of cognitive remediation to render any recurrence of such conduct most highly unlikely". Ryzik, Melena (April 20, 2016)
T.J._Miller
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)
Jamieson, B (July 2009). "Clinical inquiries: How can you help prevent a recurrence of diverticulitis?". The Journal of Family Practice. 58 (7): 381–82. PMID 19607778
List of common misconceptions about science, technology, and mathematics
List_of_common_misconceptions_about_science,_technology,_and_mathematics
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)
Calculation and prediction of eclipses
Astronomical Society Quarterly Journal, 31(1), 53–67. S. Newcomb (1882): On the recurrence of solar eclipses. Astron.Pap.Am.Eph. vol. I pt. I . Bureau of Navigation
Eclipse_cycle
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
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
American banker (1867–1943)
MORGAN DIES, VICTIM OF STROKE AT FLORIDA RESORT; Financier, 75, Had a Recurrence of Heart Ailment on Vacation Trip 2 Weeks Ago 2 CHILDREN AT BEDSIDE Head
J._P._Morgan_Jr.
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
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
2021 attack to stop election certification
overturn Trump's loss (that law would later be amended in 2022 to prevent recurrence of the January 6 debacle). Before leaving office, Trump sought to overturn
January 6 United States Capitol attack
January_6_United_States_Capitol_attack
Chronic multi-symptomatic pain disorder
Biography, Statistics, & Facts | Britannica". Encyclopedia Britannica. "Recurrence of Fibrositis Keeps Bradman Out of Cricket". Mercury. 2 March 1946. p
Fibromyalgia
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
French mathematician, physicist and engineer (1854–1912)
analysis and Lie theory. He famously introduced the concept of the Poincaré recurrence theorem, which states that a state will eventually return arbitrarily
Henri_Poincaré
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
Empress of China from 690 to 705
of the chancellors. In order to deal with this process and prevent the recurrence of such incidents, Wu associated with several mid-level officials who
Wu_Zetian
Role-playing video game series
an immortal being stopping the universe's destruction through eternal recurrence. The group defeats him, then KOS-MOS and chaos help banish the Gnosis
Xenosaga
American diplomat and activist (1884–1962)
ideas" that could "provide equality of opportunity for all and prevent the recurrence of a similar disaster [depression] in the future." Residents were so taken
Eleanor_Roosevelt
Polish Franciscan friar and saint (1894–1941)
communist movements that had surfaced in Poland after the war. In 1922, a recurrence of tuberculosis forced Kolbe to leave the seminary. In January 1922, Kolbe
Maximilian_Kolbe
Indian actor (1952–2020)
breathing difficulties. He died on 30 April 2020 at 8:45 AM IST from recurrence of leukemia. Kapoor's last rites were performed at Chandanwadi Crematorium
Rishi_Kapoor
Mathematical function
(z+1)=\psi (1)+H_{z}.} A consequence is the following generalization of the recurrence relation: ψ ( w + 1 ) − ψ ( z + 1 ) = H w − H z . {\displaystyle \psi
Digamma_function
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
Change in sea level due to gravity
and discussion has increased in sophistication, first marking the daily recurrence, then tides' relationship to the Sun and moon. Early surviving accounts
Tide
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 media franchise
the nuclear attacks on Hiroshima and Nagasaki and the possibility of recurrence. As the series progressed, so did Godzilla, changing into a less destructive
Godzilla_(franchise)
Video game series
and the series was produced by Seth Godin. It departs from the original plot and introduces characters not seen in the game, including junior high school
Castlevania
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
travel, tourism, insurance
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