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Method of analysing a dynamical system
Recurrence quantification analysis (RQA) is a method of nonlinear data analysis (cf. chaos theory) for the investigation of dynamical systems. It quantifies
Recurrence quantification analysis
Recurrence_quantification_analysis
Type of plot in descriptive statistics and chaos theory
Therefore, the recurrence quantification analysis quantifies the distribution of these small-scale structures. This quantification can be used to describe
Recurrence_plot
Intervals of expansion and recession in economic activity
that there are three Kuznets cycles per Kondratiev.[jargon] Recurrence quantification analysis has been employed to detect the characteristic of business
Business_cycle
System composed of many interacting components
Cesar A. Hidalgo and the Harvard economist Ricardo Hausmann. Recurrence quantification analysis has been employed to detect the characteristic of business
Complex_system
Topics referred to by the same term
RQA may refer to: Ruoqiang Loulan Airport, IATA code RQA Recurrence quantification analysis Research Quality Association This disambiguation page lists
RQA
Sequence of data points over time
Fractional Fourier transform Chaotic analysis Correlation dimension Recurrence plots Recurrence quantification analysis Lyapunov exponents Entropy encoding
Time_series
Field of mathematics and science based on non-linear systems and initial conditions
by the means of recurrence quantification analysis. In fact, Orlando et al. by the means of the so-called recurrence quantification correlation index
Chaos_theory
signals. Recurrence plot, a powerful visualisation tool of recurrences in dynamical (and other) systems. Recurrence quantification analysis, another approach
Recurrence period density entropy
Recurrence_period_density_entropy
Application of complexity science to economics
by the means of recurrence quantification analysis. In fact, Orlando et al. by the means of the so-called recurrence quantification correlation index
Complexity_economics
Rectified Gaussian distribution Recurrence period density entropy Recurrence plot Recurrence quantification analysis Recursive Bayesian estimation Recursive
List_of_statistics_articles
{x}}(i)-{\vec {x}}(j)\|),\quad {\vec {x}}(i)\in \mathbb {R} ^{m}.} Recurrence quantification analysis P. Grassberger and I. Procaccia (1983). "Measuring the strangeness
Correlation_integral
Dimensionality measure in chaos theory
Mathematics portal Takens's theorem Correlation integral Recurrence quantification analysis Approximate entropy Peter Grassberger and Itamar Procaccia
Correlation_dimension
Rate of separation of infinitesimally close trajectories
Liouville's theorem (Hamiltonian) Lyapunov dimension Lyapunov time Recurrence quantification analysis Oseledets theorem Butterfly effect Cencini, M.; et al. (2010)
Lyapunov_exponent
Motor response evoked by electrical stimulation of a nerve
Morris A.; Patil, Vijaya K.; Webber, Charles L. (2015). "Recurrence Quantification Analysis of F-Waves and the Evaluation of Neuropathies". Neurology
F_wave
Study of graphs as a representation of relations between discrete objects
to be neutral. There are three methods to quantify degree correlations. The recurrence matrix of a recurrence plot can be considered as the adjacency matrix
Network_theory
Concept in statistics
diseases, such as schizophrenia, epilepsy, and addiction. Recurrence quantification analysis Sample entropy Pincus, S. M.; Gladstone, I. M.; Ehrenkranz
Approximate_entropy
Fluid accumulation in the tissue and air spaces of the lungs
to monitor. Recurrence of FPE is thought to be associated with hypertension and may signify renal artery stenosis. Prevention of recurrence is based on
Pulmonary_edema
Mathematical expression
convergents of the continued fraction are formed by applying the fundamental recurrence formulas: x 0 = A 0 B 0 = b 0 , x 1 = A 1 B 1 = b 1 b 0 + a 1 b 1 , x
Continued_fraction
Method for analysing qualitative data
Thematic analysis is one of the most common forms of analysis within qualitative research. It emphasizes identifying, analysing and interpreting patterns
Thematic_analysis
Study of discrete mathematical structures
various continuous computational topics. Information theory involves the quantification of information. Closely related is coding theory which is used to design
Discrete_mathematics
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
Biotechnological procedure
curve for quantification. dPCR is also more resilient to PCR inhibitors for the quantification of RNA than qPCR. dPCR can detect and quantify more individual
Digital polymerase chain reaction
Digital_polymerase_chain_reaction
correlation sum is used to estimate the correlation dimension. Recurrence quantification analysis P. Grassberger and I. Procaccia (1983). "Measuring the strangeness
Correlation_sum
Molecular biology technique
and these sequences can be analysed with computer programs which quantify the recurrence of individual tags. The output of SAGE is a list of short sequence
Serial analysis of gene expression
Serial_analysis_of_gene_expression
Scientific study of humans, human behavior, and societies
medicine, and zoology. A major focus of anthrozoologic research is the quantification of the positive effects of human-animal relationships on either party
Anthropology
Analysis of sets of categorical sequences
In social sciences, sequence analysis (SA) is concerned with the analysis of sets of categorical sequences that typically describe longitudinal data. Analyzed
Sequence analysis in social sciences
Sequence_analysis_in_social_sciences
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
State of low mood and aversion to activity
depression recurrence with no additional harm. Recommendations for psychological treatments or combination treatments in preventing recurrence are not clear
Depression_(mood)
Time series plot of a dynamical system
recently developed to quantify the complex HR dynamics and to complement the conventional measures of HR variability. New fractal analysis methods have already
Poincaré_plot
Cholesterol-lowering medication
2003). "Quantifying effect of statins on low density lipoprotein cholesterol, ischaemic heart disease, and stroke: systematic review and meta-analysis". BMJ
Atorvastatin
Rectilinear lens Rectilinear propagation Recuperator Recurrence plot Recurrence quantification analysis Red adaptation goggles Red clump Red dwarf Redlich–Kwong
Index_of_physics_articles_(R)
Tokamak at the University of Sao Paulo, Brazil
; Kurths, J.; Nascimento, I.C.; Kuznetsov, Yu.K. (2008). "Recurrence quantification analysis of electrostatic fluctuations in fusion plasmas". Physics
Tokamak Chauffage Alfvén Brésilien
Tokamak_Chauffage_Alfvén_Brésilien
DNA sequencing method
mutations that are enriched in a population is described by an index- Recurrence Index (RI). RI is the number of mutations per kilobase of a given genomic
CAPP-Seq
enrichment of peptides on magnetic beads for mass-spectrometry-based quantification of serum biomarkers. Anal Biochem [Internet]. 2007 Mar 1;362(1):44–54
Stable isotope standards and capture by anti-peptide antibodies
Stable_isotope_standards_and_capture_by_anti-peptide_antibodies
Genomic test for cancer recurrence
which quantifies the likelihood of recurrence in stage II colon cancer following surgery. The result from the assay is a continuous recurrence score value
Oncotype DX Colon Cancer Assay
Oncotype_DX_Colon_Cancer_Assay
American company in Madison, Wisconsin
COVID-19 tests; home test must be ordered by clinician, then sent to lab for analysis". Milwaukee Journal Sentinel. Retrieved 21 Apr 2021. Sciences, Exact (16
Exact_Sciences_Corporation
Mechanical loads (forces) applied to a structure or its components
probabilistic studies that take into account the load's originating cause, recurrence, distribution, and static or dynamic nature. The dead load includes loads
Structural_load
Medical condition
for primary pelvic organ prolapse and prolapse recurrence: an updated systematic review and meta-analysis". American Journal of Obstetrics and Gynecology
Uterine_prolapse
Possible fate of the universe
2010 analysis of entropy states, "The entropy of a general gravitational field is still not known", and "gravitational entropy is difficult to quantify".
Heat_death_of_the_universe
Skin cancer originating in melanocytes
excision aims to reduce the rate of tumor recurrence at the site of the original lesion. A 2009 meta-analysis of randomized controlled trials found a small
Melanoma
Medication to treat gastroesophageal reflux disease and other conditions
Dermatologic: rash (2%) Other concerns related to adverse effects are: Recurrence of Clostridioides difficile associated diarrhea Osteoporosis-related fractures
Omeprazole
Dynamical system
only dependent upon its neighbors relative to the coupling term in the recurrence equation. However, the similarities can be compounded when considering
Coupled_map_lattice
Software for scientific and industrial data visualization and analysis
fracture network) Surface model simplification Quantification and analysis: Measurements and statistics Analysis spreadsheet and charting Material properties
Avizo_(software)
detailed analysis by differentiated and specific methods, while their results are directly compatible with seismological observations." Many[quantify] researchers
Neotectonics
Tumor-derived fragmented DNA in the bloodstream
processing (DNA extraction and amplification), quantification and validation must be established before ctDNA analysis can become a routine clinical assay. Furthermore
Circulating_tumor_DNA
Descent of the pelvic organs from their normal positions
for primary pelvic organ prolapse and prolapse recurrence: an updated systematic review and meta-analysis". American Journal of Obstetrics and Gynecology
Pelvic_organ_prolapse
Real-valued function that quantifies similarity between two objects
the Bhattacharyya distance and the Hellinger distance. Both provide a quantification of similarity for two probability distributions on the same domain,
Similarity_measure
Abnormal collection of air in the pleural space
provide a rapid diagnosis in other emergency situations, and allow the quantification of the size of the pneumothorax. Several particular features on ultrasonography
Pneumothorax
Abnormal accumulation of fluid in the pericardial cavity of the heart
of reaccumulation or recurrence of fluid also depends on the original cause. If the origin was malignancy/cancer, the recurrence rate of a pericardial
Pericardial_effusion
Process of repeating items in a self-similar way
recursively defined mathematical objects include factorials, functions (e.g., recurrence relations), sets (e.g., Cantor ternary set), and fractals. There are various
Recursion
Sudden or unexpected loss of heartbeat
increases the likelihood of future episodes. A 2021 meta-analysis assessing the recurrence of cardiac arrest in out-of-hospital cardiac arrest survivors
Cardiac_arrest
Computer science metric of string similarity
b=b_{1}\ldots b_{n}} is given by d m n {\displaystyle d_{mn}} , defined by the recurrence d i 0 = ∑ k = 1 i w d e l ( a k ) , for 1 ≤ i ≤ m d 0 j = ∑ k = 1 j w
Edit_distance
Use of functions that call themselves
written as a recurrence relation: b n = n b n − 1 {\displaystyle b_{n}=nb_{n-1}} b 0 = 1 {\displaystyle b_{0}=1} This evaluation of the recurrence relation
Recursion_(computer_science)
Protrusion of the bladder into the vagina
[citation needed] The pelvic organ prolapse quantification (POP-Q) assessment, developed in 1996, quantifies the descent of the cystocele into the vagina
Cystocele
Uterine cancer that is located in tissues lining the uterus
side effects from traditional radiotherapy. Its risk of recurrence has not yet been quantified. Research on hyperbaric oxygen therapy to reduce side effects
Endometrial_cancer
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
Psychiatric disorder defined by chronic depression
antidepressants (those used in the studies) was effective in preventing relapse or recurrence of persistent depressive disorder. The body of evidence was too small
Dysthymia
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
Minor earthquakes and tremors caused by human activity
An Introduction to Probabilistic Seismic Hazard Analysis (PSHA) Probabilistic Seismic Hazard Analysis (PSHA) is a probabilistic framework that accounts
Induced_seismicity
Type of minimal residual disease
colorectal cancer, lung cancer, breast cancer, and bladder cancer—to assess recurrence risk, monitor treatment response, and potentially guide adjuvant therapy
Tumor-informed minimal residual disease
Tumor-informed_minimal_residual_disease
Rocks fallen freely from a cliff, roof, or quarry
mitigation strategy as it allows the delineation of run out zones and the quantification of the rock blocks kinematics parameters along their way down to the
Rockfall
Infinitely detailed mathematical structure
space-filling curves and tilings Escape-time fractals – use a formula or recurrence relation at each point in a space (such as the complex plane); usually
Fractal
Transform in numerical harmonic analysis
In numerical analysis and functional analysis, a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled
Discrete_wavelet_transform
Species of bacteria
eradication. This recurrence can be caused by the original strain (recrudescence) or by a different strain (reinfection). A 2017 meta-analysis showed that the
Helicobacter_pylori
Calculation of complex statistical distributions
C,\,\forall A\in {\mathcal {B}}({\mathcal {X}}).} Definition (Harris recurrence) A set A {\displaystyle A} is Harris recurrent if P x ( η A = ∞ ) = 1
Markov_chain_Monte_Carlo
Death of a region of brain cells due to poor blood flow
endarterectomy (surgical removal of the stenosis) may decrease the risk of recurrence if performed rapidly after a stroke. Stroke, whether ischemic or hemorrhagic
Stroke
Statistical test comparing two probability distributions
while a table of the distribution was published by Nikolai Smirnov. Recurrence relations for the distribution of the test statistic in finite samples
Kolmogorov–Smirnov_test
English statistician and epidemiologist (born 1943)
6.1192. PMID 7017215. S2CID 36210635. Peto R, Schneiderman M, eds. Quantification of occupational cancer. Cold Spring Harbor, NY: Cold Spring Harbor Laboratory
Richard_Peto
Varus deformity
genu varum. Yet, this treatment is associated with a high incidence of recurrence and repeated surgeries may be needed to maintain proper bone alignment
Genu_varum
Sequence acceleration method in numerical analysis
In numerical analysis, Richardson extrapolation is a method used to estimate some value A ∗ = lim h → 0 A ( h ) {\displaystyle A^{\ast }=\lim _{h\to 0}A(h)}
Richardson_extrapolation
Effects of pollution on the brain
and effects on cognitive function in older people. As of 2022, direct quantification of cognitive decline or dementia associated with air pollution would
Brain_health_and_pollution
Computer approximation for real numbers
mathematically equivalent but less prone to error (numerical analysis). Two forms of the recurrence formula for the circumscribed polygon are:[citation needed]
Floating-point_arithmetic
Overview of and topical guide to discrete mathematics
equivalence Extensionality – Logic principle Uniqueness quantification – Logical quantifier If and only if – Logical connective Necessary and sufficient –
Outline of discrete mathematics
Outline_of_discrete_mathematics
Beta blocker medication
is some efficacy of metoprolol as a prevention of atrial fibrillation recurrence but not prominent. Further investigation may require assessing the ongoing
Metoprolol
Bacterium responsible for difficult-to-treat infections in humans
Mylotte JM, et al. (September 2003). "Staphylococcus aureus bacteremia: recurrence and the impact of antibiotic treatment in a prospective multicenter study"
Methicillin-resistant Staphylococcus aureus
Methicillin-resistant_Staphylococcus_aureus
Method of historical research
Selected Readings in the Quantitative Analysis of Historical Data, 1969 Swierenga, Robert P., ed. Quantification in American History: Theory and Research
Quantitative_history
Study of the methods used by historians
economics. The pioneers shared a commitment to quantification. However, by the 1980s the first blush of quantification had worn off, as traditional historians
Historiography
Chemical compound found in some species of mushrooms
psychotic states requiring hospitalization. Flashbacks (spontaneous recurrences of a previous psilocybin experience) can occur long after psilocybin
Psilocybin
Branch of machine learning
Recurrent neural networks (RNN) were further developed in the 1980s. Recurrence is used for sequence processing, and when a recurrent network is unrolled
Deep_learning
Representation of a type of random process
basis. The model is in the form of a stochastic difference equation (or recurrence relation) which should not be confused with a differential equation. Together
Autoregressive_model
Highest court of jurisdiction in the U.S.
of unlawful conduct, in which the court considers the probability of recurrence and plaintiff's need for relief. The United States is divided into thirteen
Supreme Court of the United States
Supreme_Court_of_the_United_States
Stroke resulting from lack of blood flow
endarterectomy (surgical removal of the stenosis) may decrease the risk of recurrence if performed rapidly after cerebral infarction. Carotid endarterectomy
Cerebral_infarction
Subset of artificial intelligence
neural network architecture based primarily on attention rather than recurrence or convolution. As a scientific endeavour, machine learning grew out of
Machine_learning
Feature of systems that defy description
cultural evolution with increasing granularity, as well as increasing quantification. Eric Chaisson has advanced a cosmological complexity metric which he
Complexity
Nonparametric test of the null hypothesis
later paper he gave larger tables). A thorough analysis of the statistic, which included a recurrence allowing the computation of tail probabilities for
Mann–Whitney_U_test
Anticoagulant drug
the treatment of pulmonary embolism; for the reduction in the risk of recurrence of deep vein thrombosis or pulmonary embolism; for the prophylaxis of
Rivaroxaban
evidence. This information can then be used to quantify the seismic hazard of an area. A seismotectonic analysis of an area often involves the integration
Seismotectonics
Machine learning technique
This idea was central to the Transformer architecture, which replaced recurrence with attention mechanisms. As a result, Transformers became the foundation
Attention_(machine_learning)
Class of drugs to lower cholesterol
2003). "Quantifying effect of statins on low density lipoprotein cholesterol, ischaemic heart disease, and stroke: systematic review and meta-analysis". BMJ
Statin
statements are perceived as more truthful. Quantification bias, the tendency to ascribe more weight to measured/quantified metrics than to unquantifiable values
List_of_cognitive_biases
Passage and lodging of an embolus within the bloodstream
2013). "Quantification and reduction of reflux during embolotherapy using an antireflux catheter and tantalum microspheres: ex vivo analysis". Journal
Embolization
Temporary episode of sleep or drowsiness
Ballman, K. V., ... & Somers, V. K. (2003). Obstructive sleep apnea and the recurrence of atrial fibrillation. Circulation, 107(20), 2589-2594. Tufik, S., Santos-Silva
Microsleep
Microorganisms in or on human skin and biofluids
"Intestinal bacteremia after liver transplantation is a risk factor for recurrence of primary sclerosing cholangitis". Transplantation. 107 (8): 1764–1775
Human_microbiome
Benzodiazepine medication
intramolecular heterocyclization takes place to obtain alprazolam. Quantification of alprazolam in blood and plasma samples may be necessary to confirm
Alprazolam
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
Cancer originating in or on the ovary
5 years, 20% of stage I and II cancers recur. Most recurrences are in the abdomen. If a recurrence occurs in advanced disease, it typically occurs within
Ovarian_cancer
Human disease
and later irregular folinic acid supplementation was associated with recurrence of epileptic symptoms. Clinical deterioration occurred in some infants
Dihydrofolate reductase deficiency
Dihydrofolate_reductase_deficiency
Notions which arise mostly in the context of limits, referring to the recurrence of a phenomenon as the limit is approached. A statement such as that predicate
Glossary of mathematical jargon
Glossary_of_mathematical_jargon
Use of communication to facilitate social development
superordinate influential factors or the root causes, then, prevents the recurrence of the problem situation. "Problematique" situation occurs when certain
Development_communication
Field of study in meteorology and climate science
chance per year"), or of expected frequencies (called a return period or recurrence interval, such as "100-year drought"). Event attribution approaches can
Extreme_event_attribution
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RECURRENCE QUANTIFICATION-ANALYSIS
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RECURRENCE QUANTIFICATION-ANALYSIS
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RECURRENCE QUANTIFICATION-ANALYSIS
RECURRENCE QUANTIFICATION-ANALYSIS
RECURRENCE QUANTIFICATION-ANALYSIS
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