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RECURSIVE FILTER

  • Recursive filter
  • Type of filter reusing an output as an input

    In signal processing, a recursive filter (also called an infinite impulse response filter) is a type of filter which reuses one or more of its outputs

    Recursive filter

    Recursive_filter

  • Recursive least squares filter
  • Adaptive filter algorithm for digital signal processing

    Recursive least squares (RLS) is an adaptive filter algorithm that recursively finds the coefficients that minimize a weighted linear least squares cost

    Recursive least squares filter

    Recursive_least_squares_filter

  • Kalman filter
  • Algorithm that estimates unknowns from a series of measurements over time

    estimation Particle filter estimator PID controller Predictor–corrector method Recursive least squares filter Schmidt–Kalman filter Separation principle

    Kalman filter

    Kalman filter

    Kalman_filter

  • Gaussian filter
  • Filter in electronics and signal processing

    accuracy of floating point representation. A popular recursive filter is the Deriche-filter. This filter consists of two parallel passes on the original data

    Gaussian filter

    Gaussian filter

    Gaussian_filter

  • Ensemble Kalman filter
  • Recursive filter

    The ensemble Kalman filter (EnKF) is a recursive filter suitable for problems with a large number of variables, such as discretizations of partial differential

    Ensemble Kalman filter

    Ensemble_Kalman_filter

  • Digital filter
  • Mathematical operation on a sampled signal

    reveals how a filter responds to a sudden, momentary disturbance. An IIR filter is always recursive. While it is possible for a recursive filter to have a

    Digital filter

    Digital filter

    Digital_filter

  • Scale space implementation
  • operator. For small scales, a low-order FIR filter may be a better smoothing filter than a recursive filter. The symmetric 3-kernel [t/2, 1-t, t/2], for

    Scale space implementation

    Scale_space_implementation

  • Bayer filter
  • Color filter array

    Kodak. Bayer is also known for his recursively defined matrix used in ordered dithering. Alternatives to the Bayer filter include both various modifications

    Bayer filter

    Bayer filter

    Bayer_filter

  • Nonrecursive filter
  • Technique in mathematics and signal processing

    In mathematics, a nonrecursive filter only uses input values like x[n − 1], unlike recursive filter where it uses previous output values like y[n − 1]

    Nonrecursive filter

    Nonrecursive_filter

  • Filter design
  • Signal processing design process

    complexity of the response curve determines the filter order and feasibility. A first-order recursive filter will only have a single frequency-dependent component

    Filter design

    Filter_design

  • Recursive Bayesian estimation
  • Process for estimating a probability density function

    probability theory, statistics, and machine learning, recursive Bayesian estimation, also known as a Bayes filter, is a general probabilistic approach for estimating

    Recursive Bayesian estimation

    Recursive_Bayesian_estimation

  • Schmidt–Kalman filter
  • Zanetti, Renato; D'Souza, Christopher (2013). "Recursive Implementations of the Schmidt-Kalman 'Consider' Filter" (PDF). The Journal of the Astronautical Sciences

    Schmidt–Kalman filter

    Schmidt–Kalman_filter

  • Extended Kalman filter
  • Filter for nonlinear state estimation

    {z}}_{k})} . The iterated extended Kalman filter improves the linearization of the extended Kalman filter by recursively modifying the centre point of the Taylor

    Extended Kalman filter

    Extended_Kalman_filter

  • Gaussian blur
  • Type of image blur produced by a Gaussian function

    often be numerically well approximated by a small set of first-order recursive filters coupled in cascade, see for further details. Gaussian smoothing is

    Gaussian blur

    Gaussian blur

    Gaussian_blur

  • Hodrick–Prescott filter
  • Mathematical tool used in macroeconomics

    Hodrick–Prescott filter is non-causal as it is not purely backward looking. Hence, it should not be used when estimating DSGE models based on recursive state-space

    Hodrick–Prescott filter

    Hodrick–Prescott_filter

  • Digital biquad filter
  • Second order recursive digital linear filter

    digital biquad filter is a second order recursive linear filter, containing two poles and two zeros, which implements the analog biquad filter topology in

    Digital biquad filter

    Digital_biquad_filter

  • Kalman (disambiguation)
  • Topics referred to by the same term

    Kalman decomposition Kalman filter Ensemble Kalman filter (EnKF), a recursive filter Extended Kalman filter Fast Kalman filter (FKF) Kalman–Yakubovich–Popov

    Kalman (disambiguation)

    Kalman_(disambiguation)

  • Gabor filter
  • Linear filter used for texture analysis

    the Gabor filter has been developed in based on replacing the Gaussian kernel in the Gabor function with a time-causal and time-recursive kernel referred

    Gabor filter

    Gabor filter

    Gabor_filter

  • FIR transfer function
  • type of filter is non-recursive, which means that the output can be completely derived from a combination of the input without any recursive values of

    FIR transfer function

    FIR_transfer_function

  • Computably enumerable set
  • Mathematical logic concept

    a set S of natural numbers is called computably enumerable (c.e.), recursively enumerable (r.e.), semidecidable, partially decidable, listable, provable

    Computably enumerable set

    Computably_enumerable_set

  • Quad9
  • Public recursive DNS resolver based in Switzerland

    Quad9 is a global public recursive DNS resolver that blocks access to domains associated with malware and phishing. Quad9 is operated by the Quad9 Foundation

    Quad9

    Quad9

    Quad9

  • Filtered-popping recursive transition network
  • A filtered-popping recursive transition network (FPRTN), or simply filtered-popping network (FPN), is a recursive transition network (RTN) extended with

    Filtered-popping recursive transition network

    Filtered-popping_recursive_transition_network

  • Exponential smoothing
  • Generates a forecast of future values of a time series

    processing, acting as low-pass filters to remove high-frequency noise. This method is preceded by Poisson's use of recursive exponential window functions

    Exponential smoothing

    Exponential_smoothing

  • Adaptive filter
  • System with self-optimizing transfer function

    Squares (LMS) filter and the Recursive Least Squares (RLS) filter are types of adaptive filters. There are two input signals to the adaptive filter: d k {\displaystyle

    Adaptive filter

    Adaptive_filter

  • Linear phase
  • Filter whose phase response is proportional to frequency

    }} , as a function of ω, is known as the filter's frequency response. Smith, Steven W. "19.4. Recursive Filters: Phase Response". The Scientist and Engineer's

    Linear phase

    Linear_phase

  • Filter on a set
  • Family of subsets representing "large" sets

    mathematics, a filter on a set is a collection of nonempty subsets which is closed under taking supersets and finite intersections. An example of filter is the

    Filter on a set

    Filter_on_a_set

  • Cascaded integrator–comb filter
  • Digital signal sample rate converter

    omitted. To see this, consider how a simple moving average filter can be implemented recursively by adding the newest sample x [ n ] {\displaystyle x[n]}

    Cascaded integrator–comb filter

    Cascaded_integrator–comb_filter

  • Public recursive name server
  • Name resolver service for the Domain Name System

    A public recursive name server (also called public DNS resolver) is a name server service that networked computers may use to query the Domain Name System

    Public recursive name server

    Public_recursive_name_server

  • Convolutional code
  • Type of error-correcting code using convolution

    impulse response (FIR) filter, while a recursive convolutional code might be considered an Infinite impulse response (IIR) filter. Convolutional codes are

    Convolutional code

    Convolutional_code

  • Polyphase quadrature filter
  • Filter bank

    typically a FIR filter with a length of 10×N ... 24×N taps. Note that it is also possible to build PQF filters using recursive IIR filters. There are different

    Polyphase quadrature filter

    Polyphase_quadrature_filter

  • Alpha beta filter
  • Predictive filter

    An alpha beta filter (also called alpha-beta filter, f-g filter or g-h filter) is a simplified form of observer for estimation, data smoothing and control

    Alpha beta filter

    Alpha_beta_filter

  • Particle filter
  • Type of Monte Carlo algorithms for signal processing and statistical inference

    Particle filters, also known as sequential Monte Carlo methods, are a set of Monte Carlo algorithms used to find approximate solutions for filtering problems

    Particle filter

    Particle_filter

  • Window function
  • Function used in signal processing

    1984 by Roy Streit and has application in antenna array design, non-recursive filter design, and spectrum analysis. Like other adjustable windows, the Ultraspherical

    Window function

    Window function

    Window_function

  • Recurrence relation
  • Pattern defining an infinite sequence of numbers

    Solving a recurrence relation means obtaining a closed-form solution: a non-recursive function of n {\displaystyle n} . The concept of a recurrence relation

    Recurrence relation

    Recurrence_relation

  • Least mean squares filter
  • Statistical algorithm

    squares (LMS) algorithms are a class of adaptive filter used to mimic a desired filter by finding the filter coefficients that relate to producing the least

    Least mean squares filter

    Least_mean_squares_filter

  • Chebyshev filter
  • Type of analog or digital filter

    Chebyshev filters are analog or digital filters that have a steeper roll-off than Butterworth filters, and have either passband ripple (type I) or stopband

    Chebyshev filter

    Chebyshev_filter

  • Bessel filter
  • Type of analog linear filter in electronics

    In electronics and signal processing, a Bessel filter is a type of analog linear filter with a maximally flat group delay (i.e., maximally linear phase

    Bessel filter

    Bessel_filter

  • Ian A. Young
  • American electrical engineer

    Hodges, D.A. "MOS switched-capacitor analog sampled-data direct-form recursive filters," IEEE Journal of Solid-State Circuits, vol.14, no.6, pp. 1020–1033

    Ian A. Young

    Ian A. Young

    Ian_A._Young

  • PNG
  • Family of lossless-compression image file formats

    Fromme, author of the popular JPEG viewer QPEG, proposed the PING name—a recursive acronym meaning PING is not GIF—which eventually became PNG, as well as

    PNG

    PNG

    PNG

  • Two-dimensional filter
  • by a non-recursive algorithm structure while 2-D IIR digital filter is achieved by a recursive feedback algorithm structure. An IIR filter may be implemented

    Two-dimensional filter

    Two-dimensional_filter

  • List of numerical analysis topics
  • significant energy barriers Hybrid Monte Carlo Ensemble Kalman filter — recursive filter suitable for problems with a large number of variables Transition

    List of numerical analysis topics

    List_of_numerical_analysis_topics

  • Drip coffee
  • Drink made by pouring hot water onto ground coffee beans

    using a filter. Terms used for the resulting coffee often reflect the method used, such as drip-brewed coffee, or, somewhat inaccurately, filtered coffee

    Drip coffee

    Drip coffee

    Drip_coffee

  • Filter Forge
  • Computer graphics program

    floating point processing, particle arrays, recursive loops, bézier curves, and built-in Lua scripting. Filter Forge also includes rendering options such

    Filter Forge

    Filter Forge

    Filter_Forge

  • Pipelining (DSP implementation)
  • straightforward structure to design such function, the sample rate of this recursive filter is restricted by the calculation time of one multiply-add operation

    Pipelining (DSP implementation)

    Pipelining_(DSP_implementation)

  • Scale space
  • Framework for multi-scale signal representation

    domain, in terms of pyramids based on binomial filters that approximate the Gaussian or using recursive filters. More details about this are given in a separate

    Scale space

    Scale_space

  • Computable set
  • Set with algorithmic membership test

    computability theory, a set of natural numbers is computable (or decidable or recursive) if there is an algorithm that computes the membership of every natural

    Computable set

    Computable_set

  • Multidimensional discrete convolution
  • Mathematical operation in signal processing

    of recursive passes through the filter. Then, since the Gaussian distribution is separable across different dimensions, it follows that recursive passes

    Multidimensional discrete convolution

    Multidimensional_discrete_convolution

  • Multi-scale approaches
  • Vliet, L.J.: Recursive implementation of the Gaussian filter, Signal Processing, vol. 44, no. 2, 1995, 139-151. Deriche, R: Recursively implementing the

    Multi-scale approaches

    Multi-scale_approaches

  • Schur class
  • Jin-Gyun; Parhi, Keshab K. (1996). Pipelined Lattice and Wave Digital Recursive Filters. The Kluwer International Series in Engineering and Computer Science

    Schur class

    Schur_class

  • Ultrafilter on a set
  • Maximal proper filter

    of set theory, an ultrafilter on a set X {\displaystyle X} is a maximal filter on the set X . {\displaystyle X.} In other words, it is a collection of

    Ultrafilter on a set

    Ultrafilter on a set

    Ultrafilter_on_a_set

  • Switched capacitor
  • Electronic circuit element implementing a filter

    ISBN 9788793609860. B. Hosticka, R. Brodersen, P. Gray, "MOS Sampled Data Recursive Filters Using Switched Capacitor Integrators", IEEE Journal of Solid-State

    Switched capacitor

    Switched_capacitor

  • DNS over HTTPS
  • Protocol to run DNS queries over HTTPS

    uses similar architectural principles for HTTP requests. DoH is used for recursive DNS resolution by DNS resolvers. Resolvers (DoH clients) must have access

    DNS over HTTPS

    DNS_over_HTTPS

  • Black hole (networking)
  • Part of a network quietly losing traffic

    reduces the load on other parts of the DNS infrastructure as it allows recursive resolvers to cache the negative answers. A DNS-based Blackhole List (DNSBL)

    Black hole (networking)

    Black_hole_(networking)

  • 2D Z-transform
  • quadrant recursive filter in which H z ( z 1 , z 2 ) = 1 B z ( z 1 , z 2 ) {\displaystyle H_{z}(z_{1},z_{2})={\frac {1}{B_{z}(z_{1},z_{2})}}} . The filter is

    2D Z-transform

    2D_Z-transform

  • Edge detection
  • Image processing method

    viewpoint and then leading to a set of recursive filters for image smoothing instead of exponential filters or Gaussian filters. The differential edge detector

    Edge detection

    Edge_detection

  • 2D adaptive filters
  • applying 1D recursive least squares filters along both horizontal and vertical directions. The RLS adaptive is an algorithm which finds the filter coefficients

    2D adaptive filters

    2D_adaptive_filters

  • Canny edge detector
  • Image edge detection algorithm

    Deriche's infinite impulse response form of Canny's filter (the Canny–Deriche detector), which is recursive, and which can be computed in a short, fixed amount

    Canny edge detector

    Canny edge detector

    Canny_edge_detector

  • FAUST (programming language)
  • Audio programming language

    It is therefore suited to implement low-level DSP functions like recursive filters. The code may also be embedded. It is self-contained and does not

    FAUST (programming language)

    FAUST_(programming_language)

  • Generalized filtering
  • brain. Dynamic Bayesian network Kalman filter Linear predictive coding Optimal control Particle filter Recursive Bayesian estimation System identification

    Generalized filtering

    Generalized_filtering

  • Mung (computer term)
  • Irrevocable changes to a piece of data

    to "Mung Until No Good", making it one of the first recursive acronyms. It lived on as a recursive command in the editing language TECO. Munging may also

    Mung (computer term)

    Mung_(computer_term)

  • Recursive economics
  • Branch of modern economics

    Kalman filter invented by Rudolf E. Kálmán and the theory of the maximum formulated by Lev Semenovich Pontryagin as forerunners of the recursive approach

    Recursive economics

    Recursive_economics

  • Kernel adaptive filter
  • adapting a filter: the least mean squares filter (LMS) and the recursive least squares filter (RLS). Self organising kernel adaptive filters that use iteration

    Kernel adaptive filter

    Kernel_adaptive_filter

  • Bellman filter
  • Recursive state estimator for state-space models derived via dynamic programming

    The Bellman filter is a recursive algorithm for estimating a sequence of unobserved (latent) states in a state-space model from noisy observations. It

    Bellman filter

    Bellman_filter

  • Moving horizon estimation
  • Optimization process

    adaptive filter Model predictive control Non-linear filter Particle filter Predictor corrector Recursive least squares Schmidt–Kalman filter Sliding mode

    Moving horizon estimation

    Moving_horizon_estimation

  • Adaptive equalizer
  • Stochastic gradient descent (SG) Recursive least squares filter (RLS) A well-known example is the decision feedback equalizer, a filter that uses feedback of detected

    Adaptive equalizer

    Adaptive equalizer

    Adaptive_equalizer

  • Audio crossover
  • Electronic filter circuitry used in loudspeakers

    would be necessary with an IIR or minimum phase FIR filters. IIR filters, which are by nature recursive, have the drawback that, if not carefully designed

    Audio crossover

    Audio crossover

    Audio_crossover

  • AdGuard
  • Ad blocking and privacy protection for everyone software

    application can set up a local VPN, filtering all traffic on the mobile device.[citation needed] AdGuard operates recursive name servers for public use. AdGuard

    AdGuard

    AdGuard

    AdGuard

  • Sliding DFT
  • Recursive algorithm in applied mathematics

    processing, the sliding discrete Fourier transform (sliding DFT or SDFT) is a recursive algorithm for computing a sequence of discrete Fourier transforms on overlapping

    Sliding DFT

    Sliding_DFT

  • Multidimensional DSP with GPU acceleration
  • Computational technique

    André; Lima, Rodolfo S.; Hoppe, Hugues (2011-01-01). "GPU-efficient recursive filtering and summed-area tables". Proceedings of the 2011 SIGGRAPH Asia Conference

    Multidimensional DSP with GPU acceleration

    Multidimensional_DSP_with_GPU_acceleration

  • Zermelo–Fraenkel set theory
  • Standard system of axiomatic set theory

    membership symbol ∈ {\displaystyle \in } Brackets ( ) With this alphabet, the recursive rules for forming well-formed formulae (wff) are as follows: Let x {\displaystyle

    Zermelo–Fraenkel set theory

    Zermelo–Fraenkel set theory

    Zermelo–Fraenkel_set_theory

  • Join-based tree algorithms
  • {\displaystyle p} , and return a tree containing all selected entries. It recursively filters the two subtrees, and join them with the root if the root satisfies

    Join-based tree algorithms

    Join-based_tree_algorithms

  • Identity transform
  • Form of data transformation

    transformation to all attributes and child nodes of the context node. This recursively descends the element tree and outputs all structures in the same structure

    Identity transform

    Identity_transform

  • Fold (higher-order function)
  • Family of higher-order functions

    function that analyzes a recursive data structure and, through use of a given combining operation, recombines the results of recursively processing its constituent

    Fold (higher-order function)

    Fold_(higher-order_function)

  • Reverse mathematics
  • Branch of mathematical logic

    reverse mathematics. The initials "RCA" stand for "recursive comprehension axiom", where "recursive" means "computable", as in computable function. This

    Reverse mathematics

    Reverse_mathematics

  • DNS over TLS
  • Protocol to run DNS queries using TLS

    forwarding resolvers and recursive resolvers, in RFC 7858 in May of 2016. Subsequent IETF efforts specify the use of DoT between recursive and authoritative

    DNS over TLS

    DNS_over_TLS

  • Keshab K. Parhi
  • Electrical Engineer and Computer Scientist (born 1959)

    architectures for signal processing operations such as recursive and adaptive digital filters, decision-feedback equalizers, Tomlinson-Harashima precoders

    Keshab K. Parhi

    Keshab_K._Parhi

  • Michael Brame
  • American linguist known for recursive categorical syntax

    journal, Linguistic Analysis. Brame's work focused on the development of recursive categorical syntax, also referred to as algebraic syntax, which integrated

    Michael Brame

    Michael_Brame

  • Power set
  • Mathematical set of all subsets of a set

    \left|2^{S}\right|=2^{n}=\sum _{k=0}^{n}{\binom {n}{k}}} If S is a finite set, then a recursive definition of P(S) proceeds as follows: If S = {}, then P(S) = { {} }

    Power set

    Power set

    Power_set

  • Tuple
  • Finite ordered list of elements

    a_{n})=(a_{1},(a_{2},a_{3},\ldots ,a_{n}))} This definition can be applied recursively to the (n − 1)-tuple: ( a 1 , a 2 , a 3 , … , a n ) = ( a 1 , ( a 2

    Tuple

    Tuple

  • RLS
  • Topics referred to by the same term

    School, formerly Robert Louis Stevenson School, California Recursive least squares filter, in minimisation Regularized least squares, for solving least-squares

    RLS

    RLS

  • G-arm medical imaging
  • Diagnostic Imaging Technique

    Enhancement of X-ray Fluoroscopy Image Sequences using Temporal Recursive Filtering and Motion Compensation". www.uppsatser.se. Retrieved 2016-03-18

    G-arm medical imaging

    G-arm_medical_imaging

  • Smoothing problem (stochastic processes)
  • this problem, typically based on recursive Bayesian estimation. The smoothing problem is closely related to the filtering problem, both of which are studied

    Smoothing problem (stochastic processes)

    Smoothing_problem_(stochastic_processes)

  • Projection filters
  • Geometric algorithms for signal processing

    diameters in melt-blown nonwovens. Filtering problem Generalized filtering Nonlinear filter Extended Kalman filter Recursive Bayesian estimation "Swedish Defense

    Projection filters

    Projection_filters

  • Empty set
  • Mathematical set containing no elements

    Countable Empty Finite (hereditarily) Filter base subbase Ultrafilter Fuzzy Infinite (Dedekind-infinite) Recursive Singleton Subset · Superset Transitive

    Empty set

    Empty set

    Empty_set

  • OpenDNS
  • Domain name system provided by Cisco

    services—with features such as phishing protection, optional content filtering, and DNS lookup in its DNS servers—and a cloud computing security product

    OpenDNS

    OpenDNS

    OpenDNS

  • KDE Frameworks
  • Collection of libraries and software frameworks for the Qt framework

    reorder and hide columns from the source model KRecursiveFilterProxyModel - Recursive filtering of models KSelectionProxyModel - A Proxy Model which presents

    KDE Frameworks

    KDE Frameworks

    KDE_Frameworks

  • Thomas Jech
  • Czech mathematician

    Countable Empty Finite (hereditarily) Filter base subbase Ultrafilter Fuzzy Infinite (Dedekind-infinite) Recursive Singleton Subset · Superset Transitive

    Thomas Jech

    Thomas_Jech

  • Principia Mathematica
  • 3-volume treatise on mathematics, 1910–1913

    theory specifies the rules of syntax (rules of grammar) usually as a recursive definition that starts with "0" and specifies how to build acceptable

    Principia Mathematica

    Principia Mathematica

    Principia_Mathematica

  • Redundant binary representation
  • Tue; Fortier, Paul (April 1993). "Systematic Design of Pipelined Recursive Filters". IEEE Transactions on Computers. 42 (4): 413–426. doi:10.1109/12

    Redundant binary representation

    Redundant_binary_representation

  • Thomas Huang
  • Chinese-American engineer and computer scientist (1936–2020)

    27 July 2015. Huang, T. (June 1972). "Stability of two-dimensional recursive filters". IEEE Transactions on Audio and Electroacoustics. 20 (2): 158–163

    Thomas Huang

    Thomas_Huang

  • 1.1.1.1
  • Free DNS service maintained by Cloudflare in partnership with APNIC

    that was started in a partnership with APNIC. The service functions as a recursive name server, providing domain name resolution for any host on the Internet

    1.1.1.1

    1.1.1.1

  • Document layout analysis
  • Processing of scanned text document

    the layout of the document. Examples of top-down approaches include the recursive X-Y cut algorithm, which decomposes the document in rectangular sections

    Document layout analysis

    Document_layout_analysis

  • Ad blocking
  • Software feature removing online advertising in a web browser or application

    Ad blocking (or ad filtering) is a software capability for blocking or altering online advertising in a web browser, an application or a network. This

    Ad blocking

    Ad_blocking

  • Uniform space
  • Topological space with a notion of uniform properties

    neighbourhood filter of a point x {\displaystyle x} is { V [ x ] : V ∈ Φ } . {\displaystyle \{V[x]:V\in \Phi \}.} This can be proved with a recursive use of

    Uniform space

    Uniform_space

  • Venn diagram
  • Diagram that shows all possible logical relations between a collection of sets

    Countable Empty Finite (hereditarily) Filter base subbase Ultrafilter Fuzzy Infinite (Dedekind-infinite) Recursive Singleton Subset · Superset Transitive

    Venn diagram

    Venn diagram

    Venn_diagram

  • Ordinal number
  • Generalization of "n-th" to infinite cases

    on. Informally, one may define an ordinal recursively as a downward closed set of ordinals. Such a recursive definition is usually justified with the transitive

    Ordinal number

    Ordinal number

    Ordinal_number

  • Gabor wavelet
  • Function used in signal processing

    while carried out with strictly time-causal and time-recursive operations. Gabor transform Gabor filter Morlet wavelet Lee, Tai S. (October 1996). "Image

    Gabor wavelet

    Gabor_wavelet

  • Ernest Lenard Hall
  • American robotic engineer (born 1940)

    His dissertation, Digital Filtering of Images extended the concepts of digital signal processing, including recursive filtering, from signal processing

    Ernest Lenard Hall

    Ernest_Lenard_Hall

  • Iterator
  • Object that enables processing collection items in order

    methods available in the Scala collections library, such as map, collect, filter etc., it is often not necessary to deal with iterators directly when programming

    Iterator

    Iterator

  • Treap
  • Random search tree data structure

    representing sets A and B is a treap t that represents A ∪ B. The following recursive algorithm computes the union: function union(t1, t2): if t1 = nil: return

    Treap

    Treap

    Treap

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