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LINEAR NETWORK-CODING

  • Linear network coding
  • Computer Networking Program

    general versions of linearity such as convolutional coding and filter-bank coding. Finding optimal coding solutions for general network problems with arbitrary

    Linear network coding

    Linear_network_coding

  • Triangular network coding
  • Concept in coding theory

    In coding theory, triangular network coding (TNC) is a non-linear network coding based packet coding scheme introduced by Qureshi, Foh & Cai (2012). Previously

    Triangular network coding

    Triangular_network_coding

  • Error correction code
  • Scheme for controlling errors in data over noisy communication channels

    telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors

    Error correction code

    Error_correction_code

  • Ingleton's inequality
  • Property of rank functions of matroids

    application of Ingleton's inequality concerns the computation of network coding capacities. Linear coding solutions are constrained by the inequality and it has

    Ingleton's inequality

    Ingleton's_inequality

  • Linear predictive coding
  • Speech analysis and encoding technique

    Linear predictive coding (LPC) is a method used mostly in audio signal processing and speech processing for representing the spectral envelope of a digital

    Linear predictive coding

    Linear predictive coding

    Linear_predictive_coding

  • Pulse-code modulation
  • Digital representation of sampled analog signals

    techniques, such as modified discrete cosine transform (MDCT) coding. Linear PCM (LPCM) is PCM with linear quantization. Differential PCM (DPCM) encodes the PCM

    Pulse-code modulation

    Pulse-code_modulation

  • Fountain code
  • Class of codes in coding theory

    complexity through a pre-coding stage of the input symbols. Triangular network coding achieve linear encoding and decoding using non-linear encoding, and decoding

    Fountain code

    Fountain_code

  • Speech coding
  • Lossy audio compression applied to human speech

    speech coding are mobile telephony and voice over IP (VoIP). The most widely used speech coding technique in mobile telephony is linear predictive coding (LPC)

    Speech coding

    Speech_coding

  • Coding theory
  • Study of the properties of codes and their fitness

    There are four types of coding: Data compression (or source coding) Error control (or channel coding) Cryptographic coding Line coding Data compression attempts

    Coding theory

    Coding theory

    Coding_theory

  • Michelle Effros
  • Professor of electrical engineering

    Innovators Under 35. She introduced an approach that used random linear network coding to transmit and compress information. They went on to show the benefits

    Michelle Effros

    Michelle_Effros

  • Mikael Skoglund
  • Swedish academic

    and orthogonal space-time block coding” was the first to address the association between space-time coding and linear adaptive transmission. According

    Mikael Skoglund

    Mikael_Skoglund

  • Adaptive predictive coding
  • Narrowband analog-to-digital conversion

    predicted according to a linear function of the past values of the quantized signals. APC is related to linear predictive coding (LPC) in that both use

    Adaptive predictive coding

    Adaptive_predictive_coding

  • Rudolf Ahlswede
  • German mathematician

    Information-theoretic security Linear network coding Ahlswede, R; Ning Cai; Li, S.-Y.R; Yeung, R.W (2000). "Network information flow" (PDF). IEEE Transactions

    Rudolf Ahlswede

    Rudolf Ahlswede

    Rudolf_Ahlswede

  • Chris Freiling
  • American mathematician

    Freiling, Christopher; Zeger, Kenneth (2005), "Insufficiency of linear coding in network information flow", IEEE Transactions on Information Theory, 51

    Chris Freiling

    Chris_Freiling

  • Raymond W. Yeung
  • Hong Kong information theorist (born 1962)

    – with T. H. Chan 2003: "Linear network coding," IEEE Trans. Information Theory – with S.-Y. R. Li and N. Cai 2006: "Network error correction, Part I

    Raymond W. Yeung

    Raymond_W._Yeung

  • Neural coding
  • Method by which information is represented in the brain

    sentence, and so a sparse coding for English would be those symbols. Most models of sparse coding are based on the linear generative model. In this model

    Neural coding

    Neural_coding

  • Audio coding format
  • Digitally coded format for audio signals

    Audio Coding (AAC). Linear predictive coding (LPC) Adaptive predictive coding (APC) Code-excited linear prediction (CELP) Algebraic code-excited linear prediction

    Audio coding format

    Audio coding format

    Audio_coding_format

  • Barcode
  • Optical machine-readable representation of data

    other patterns, called matrix codes or 2D barcodes. Despite being often included as barcodes, these do not use bars as linear barcodes do. These can be read

    Barcode

    Barcode

    Barcode

  • Artificial neuron
  • Mathematical function conceived as a crude model

    in biological networks is presumably due to the inherent simplicity of the coding. Another contributing factor could be that unary coding provides a certain

    Artificial neuron

    Artificial neuron

    Artificial_neuron

  • CSS code
  • Class of quantum error correcting codes

    linear codes with some special properties. Examples of CSS codes include the Shor code, Steane code, the toric code, and more general surface codes.

    CSS code

    CSS_code

  • List of algorithms
  • compression or companding algorithm Warped Linear Predictive Coding (WLPC) Image compression Block Truncation Coding (BTC): a type of lossy image compression

    List of algorithms

    List_of_algorithms

  • Rank error-correcting code
  • Error-correcting code

    In coding theory, rank codes (also called Gabidulin codes) are non-binary linear error-correcting codes over not Hamming but rank metric. They described

    Rank error-correcting code

    Rank_error-correcting_code

  • Erasure code
  • Code added to allow recovery of lost data

    Erasure coding was invented by Irving Reed and Gustave Solomon in 1960. There are many different erasure coding schemes. The most popular erasure codes are

    Erasure code

    Erasure_code

  • Hamming code
  • Family of linear error-correcting codes

    computer science and telecommunications, Hamming codes are a family of linear error-correcting codes. Hamming codes can detect one-bit and two-bit errors, or

    Hamming code

    Hamming code

    Hamming_code

  • Cooperative MIMO
  • In cooperative subspace coding, also known as linear network coding, nodes transmit random linear combinations of original packets with coefficients which

    Cooperative MIMO

    Cooperative_MIMO

  • Stabilizer code
  • Quantum error correction code

    strikingly similar to classical linear block codes in their operation and performance. Just as a classical linear block code can be defined by its parity-check

    Stabilizer code

    Stabilizer_code

  • G.728
  • ITU-T standard for speech coding

    for speech coding operating at 16 kbit/s. It is officially described as Coding of speech at 16 kbit/s using low-delay code excited linear prediction.

    G.728

    G.728

  • Low-density parity-check code
  • Linear error correcting code

    turbo codes, they have gained prominence in coding theory and information theory since the late 1990s. The codes today are widely used in applications ranging

    Low-density parity-check code

    Low-density_parity-check_code

  • Qualcomm code-excited linear prediction
  • Speech codec by Qualcomm

    enough to fit a wireless system by coding the information more efficiently. In particular, it can change its own coding rates based on the speaker's volume

    Qualcomm code-excited linear prediction

    Qualcomm_code-excited_linear_prediction

  • Enhanced Variable Rate Codec B
  • Speech codec used by CDMA networks

    frames and Noise Excitation Linear Prediction (NELP) for efficient coding of unvoiced or noise frames. Using NELP and PPP coding at 2.0 kbit/s provides EVRC-B

    Enhanced Variable Rate Codec B

    Enhanced_Variable_Rate_Codec_B

  • Homomorphic signatures for network coding
  • Network coding concept

    scheme for use with network coding to prevent pollution attacks. The homomorphic property of the signatures allows nodes to sign any linear combination of

    Homomorphic signatures for network coding

    Homomorphic_signatures_for_network_coding

  • Types of artificial neural networks
  • Classification of Artificial Neural Networks (ANNs)

    m}^{(3)}h_{\ell }^{2}h_{m}^{3}\right).} A deep predictive coding network (DPCN) is a predictive coding scheme that uses top-down information to empirically

    Types of artificial neural networks

    Types_of_artificial_neural_networks

  • John Makhoul
  • American computer scientist

    language processing. Dr. Makhoul's work on linear predictive coding was used in the establishment of the Network Voice Protocol, which enabled the transmission

    John Makhoul

    John Makhoul

    John_Makhoul

  • Randall Dougherty
  • American mathematician

    Freiling and Ken Zeger, he showed that linear codes are insufficient to gain the full advantages of network coding. Dougherty, Randall & Matthew Foreman

    Randall Dougherty

    Randall Dougherty

    Randall_Dougherty

  • Advanced Video Coding
  • Widely used standard for video compression

    Video Coding (AVC), also referred to as H.264 or MPEG-4 Part 10, is a video compression standard based on block-oriented, motion-compensated coding. It

    Advanced Video Coding

    Advanced Video Coding

    Advanced_Video_Coding

  • Linear programming
  • Method to solve optimization problems

    Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical

    Linear programming

    Linear programming

    Linear_programming

  • Electronic Product Code
  • Universal identifier for physical object

    as a flexible framework that can support many existing coding schemes, including many coding schemes currently in use with barcode technology. EPC identifiers

    Electronic Product Code

    Electronic Product Code

    Electronic_Product_Code

  • Polar code (coding theory)
  • Type of error correcting code

    polar codes are a linear block error-correcting codes. The code construction is based on a multiple recursive concatenation of a short kernel code which

    Polar code (coding theory)

    Polar_code_(coding_theory)

  • Showtime (TV network)
  • American pay television network

    programming includes original television series produced exclusively for the linear network and developed for the co-owned Paramount+ streaming service, theatrically

    Showtime (TV network)

    Showtime (TV network)

    Showtime_(TV_network)

  • Many antennas
  • MMSE and non-linear beam-forming (precoding) such as Tomlinson-Harashima precoding (THP), vector perturbation (VP), and Dirty paper coding (DPC). New antenna

    Many antennas

    Many_antennas

  • Carrier interferometry
  • receiver antennas. CI coding of reference signals is disclosed in US 7430257. The use of CI for linear network coding and onion coding is disclosed in US

    Carrier interferometry

    Carrier interferometry

    Carrier_interferometry

  • Full Rate
  • Speech coding standard

    was the first digital speech coding standard used in the GSM digital mobile phone system. It uses linear predictive coding (LPC). The bit rate of the codec

    Full Rate

    Full_Rate

  • G.711
  • ITU-T recommendation

    sequence of repeating code values which defines the power level of 0 dB. The μ-law and A-law algorithms encode 14-bit and 13-bit signed linear PCM samples, respectively

    G.711

    G.711

    G.711

  • Efficient coding hypothesis
  • Theoretical model of sensory neuroscience

    optimized for coding images (or sounds) representative of those found in nature. Researchers have shown that filters optimized for coding natural images

    Efficient coding hypothesis

    Efficient coding hypothesis

    Efficient_coding_hypothesis

  • Quantum network
  • Networks connecting quantum processors

    the initial entangled pairs. It can be seen that a network of such repeaters can be used linearly or in a hierarchical fashion to establish entanglement

    Quantum network

    Quantum network

    Quantum_network

  • Fumitada Itakura
  • Japanese scientist

    application to speech analysis, synthesis and coding, including the development of the linear predictive coding (LPC) and line spectral pairs (LSP) methods

    Fumitada Itakura

    Fumitada_Itakura

  • Avalanche (P2P)
  • random linear combinations of the blocks along with the random coefficients of this linear combination - a technique known as 'network coding'. This technique

    Avalanche (P2P)

    Avalanche_(P2P)

  • Matroid
  • Abstraction of linear independence of vectors

    applications in geometry, topology, combinatorial optimization, network theory, and coding theory. There are many equivalent ways to define a (finite) matroid

    Matroid

    Matroid

  • Nonlinear dimensionality reduction
  • Projection of data onto lower-dimensional manifolds

    based on a non-linear mapping from the embedded space to the high-dimensional space. These techniques are related to work on density networks, which also

    Nonlinear dimensionality reduction

    Nonlinear dimensionality reduction

    Nonlinear_dimensionality_reduction

  • Hadamard code
  • Error-correcting code

    Hadamard code is not only used by engineers, but also intensely studied in coding theory, mathematics, and theoretical computer science. The Hadamard code is

    Hadamard code

    Hadamard code

    Hadamard_code

  • Reverse logistics network modelling
  • Operations related to the reuse of products and materials

    topology of the network. encoding scheme selected is a binary-coded string reflecting one-gene-one facility correspondence on a linear string, whose substrings

    Reverse logistics network modelling

    Reverse_logistics_network_modelling

  • Superdense coding
  • Two-bit quantum communication protocol

    In quantum information theory, superdense coding (also referred to as dense coding) is a quantum communication protocol to communicate a number of classical

    Superdense coding

    Superdense coding

    Superdense_coding

  • Distributed source coding
  • Problem in information theory and communication

    as sensor networks and video/multimedia compression (see distributed video coding). One of the main properties of distributed source coding is that the

    Distributed source coding

    Distributed_source_coding

  • Autoencoder
  • Neural network that learns efficient data encoding in an unsupervised manner

    An autoencoder is a type of artificial neural network used to learn efficient codings of unlabeled data (unsupervised learning). An autoencoder learns

    Autoencoder

    Autoencoder

    Autoencoder

  • Linear optical quantum computing
  • Paradigm of quantum computer

    of finite linear optical elements constructs a network of linear optics, which can realize any quantum circuit diagram or quantum network based on the

    Linear optical quantum computing

    Linear_optical_quantum_computing

  • Multilayer perceptron
  • Type of feedforward neural network

    that is not linearly separable. Modern neural networks are trained using backpropagation and are colloquially referred to as "vanilla" networks. MLPs grew

    Multilayer perceptron

    Multilayer_perceptron

  • Trapped-ion quantum computer
  • Proposed quantum computer implementation

    configuration in z ^ {\displaystyle {\widehat {z}}} , the simplest case being a linear strand of only a few ions. Coulomb interactions of increasing complexity

    Trapped-ion quantum computer

    Trapped-ion quantum computer

    Trapped-ion_quantum_computer

  • Non-linear editing
  • Non-destructive audio, video, or image editing

    Non-linear editing (NLE) is a form of offline editing for audio, video, and image editing. In offline editing, the original content is not modified in

    Non-linear editing

    Non-linear editing

    Non-linear_editing

  • Neural network (machine learning)
  • Computational model used in machine learning

    neural networks are based on statistics developed over 200 years ago. The simplest kind of feedforward neural network (FNN) is a linear network, which

    Neural network (machine learning)

    Neural network (machine learning)

    Neural_network_(machine_learning)

  • G.729
  • ITU-T Recommendation

    3 ms. It is officially described as Coding of speech at 8 kbit/s using code-excited linear prediction speech coding (CS-ACELP), and was introduced in 1996

    G.729

    G.729

    G.729

  • Data compression
  • Compact encoding of digital data

    source coding: encoding is done at the source of the data before it is stored or transmitted. Source coding should not be confused with channel coding, for

    Data compression

    Data_compression

  • CAN bus
  • Standard for serial communication between devices without host computer

    A controller area network (CAN bus) is a vehicle bus standard designed to allow microcontrollers and devices to communicate with each other. It is a message-based

    CAN bus

    CAN bus

    CAN_bus

  • Diffusion model
  • Technique for the generative modeling of a continuous probability distribution

    generation, and video generation. These typically involve training a neural network to sequentially denoise images blurred with Gaussian noise. The model is

    Diffusion model

    Diffusion_model

  • Digital audio
  • Technology that records, stores, and reproduces sound

    at Bell Labs in 1973. Perceptual coding was first used for speech coding compression, with linear predictive coding (LPC). Initial concepts for LPC date

    Digital audio

    Digital audio

    Digital_audio

  • Small Form-factor Pluggable
  • Modular communications interface

    with black or Beige color coding SX – 850 nm, for a maximum of 550 m Multi-mode fiber, LC connector, with blue color coding FX  – 1300 nm, for a distance

    Small Form-factor Pluggable

    Small Form-factor Pluggable

    Small_Form-factor_Pluggable

  • Linear cryptanalysis
  • Form of cryptanalysis

    In cryptography, linear cryptanalysis is a general form of cryptanalysis based on finding affine approximations to the action of a cipher. Attacks have

    Linear cryptanalysis

    Linear_cryptanalysis

  • List of Java software and tools
  • Java software and development tools

    for statistics, linear algebra, and optimization. JAMA – numerical linear algebra library Jblas: Linear Algebra for Java (Jblas) – linear algebra library

    List of Java software and tools

    List_of_Java_software_and_tools

  • Outline of algorithms
  • Overview of and topical guide to algorithms

    Hash-based message authentication code Password-based key derivation function Bcrypt Argon2 Huffman coding Arithmetic coding Run-length encoding Lempel–Ziv–Welch

    Outline of algorithms

    Outline_of_algorithms

  • Convex optimization
  • Subfield of mathematical optimization

    function f is a linear function. This is because any program with a general objective can be transformed into a program with a linear objective by adding

    Convex optimization

    Convex_optimization

  • Mlpack
  • Clustering Least-Angle Regression (LARS/LASSO) Linear Regression Bayesian Linear Regression Local Coordinate Coding Locality-Sensitive Hashing (LSH) Logistic

    Mlpack

    Mlpack

    Mlpack

  • Lossy compression
  • Type of data compression

    predictive coding (LPC) Adaptive predictive coding (APC) Code-excited linear prediction (CELP) Algebraic code-excited linear prediction (ACELP) Relaxed code-excited

    Lossy compression

    Lossy compression

    Lossy_compression

  • Spiking neural network
  • Artificial neural network that mimics neurons

    (2022-01-31). "Rate Coding or Direct Coding: Which One is Better for Accurate, Robust, and Energy-efficient Spiking Neural Networks?". arXiv:2202.03133

    Spiking neural network

    Spiking neural network

    Spiking_neural_network

  • Five-qubit error correcting code
  • Type of error correction in quantum computing

    five-qubit error correcting code, [[5,1,3]] code, or Laflamme–Miquel–Paz–Zurek code is the smallest quantum error correcting code that can protect a logical

    Five-qubit error correcting code

    Five-qubit_error_correcting_code

  • Vocoder
  • Voice encryption, transformation, and synthesis device

    used digital speech coding. The most widely used speech coding technique is linear predictive coding (LPC). Another speech coding technique, adaptive

    Vocoder

    Vocoder

    Vocoder

  • PyTorch
  • Deep learning library

    print(a.max()) # Output: tensor(0.8498) The following code block defines a neural network with linear layers using the nn module. from torch import nn #

    PyTorch

    PyTorch

  • Jblas: Linear Algebra for Java
  • Linear algebra library

    is a linear algebra library, created by Mikio Braun, for the Java programming language built upon BLAS and LAPACK. Unlike most other Java linear algebra

    Jblas: Linear Algebra for Java

    Jblas:_Linear_Algebra_for_Java

  • Quantum Fourier transform
  • Change of basis applied in quantum computing

    In quantum computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier

    Quantum Fourier transform

    Quantum_Fourier_transform

  • Surface code
  • Topological quantum error correcting code

    The surface code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice. The first

    Surface code

    Surface_code

  • Quantum neural network
  • Quantum Mechanics in Neural Networks

    Quantum neural networks (QNN) are computational neural network models which are based on the principles of quantum mechanics. The first ideas on quantum

    Quantum neural network

    Quantum neural network

    Quantum_neural_network

  • Singular matrix
  • Square matrix without an inverse

    its determinant, det ( A ) = 0 {\displaystyle \det(A)=0} . In classical linear algebra, a matrix is called non-singular (or invertible) when it has an

    Singular matrix

    Singular matrix

    Singular_matrix

  • List of codecs
  • List of computer file compression formats

    SpeedHQ - used in Network Device Interface (NDI) protocol NewTek Codec FFmpeg Multiview Video Coding Multiview High Efficiency Video Coding (MV-HEVC; an extension

    List of codecs

    List_of_codecs

  • Gold code
  • Binary sequence used in telecommunications

    cross-correlation is less than or equal to 2(n+2)/2, where n is the size of the linear-feedback shift register used to generate the maximum-length sequence. The

    Gold code

    Gold_code

  • Bacon–Shor code
  • Quantum error correcting code

    Bacon–Shor code is a subsystem error correcting code. In a subsystem code, information is encoded in a subsystem of a Hilbert space. Subsystem codes lend to

    Bacon–Shor code

    Bacon–Shor_code

  • Machine learning
  • Subset of artificial intelligence

    termed "neural networks"; these were mostly perceptrons and other models that were later found to be reinventions of the generalised linear models of statistics

    Machine learning

    Machine_learning

  • Entanglement swapping
  • Quantum mechanics idea

    interacted. This process may have application in quantum communication networks and quantum computing. Entanglement swapping has two pairs of entangled

    Entanglement swapping

    Entanglement_swapping

  • CLEFIA
  • Block cipher

    CLEFIA website 256bit Ciphers - CLEFIA Reference implementation and derived code Sony Introduces CLEFIA Implementation of 128-bit CLEFIA codec and hash function

    CLEFIA

    CLEFIA

  • Serpent (cipher)
  • Block cipher

    i < 4; i++) { B[i + 1] = X[i]; } Rijndael is a substitution-linear transformation network with ten, twelve, or fourteen rounds, depending on the key size

    Serpent (cipher)

    Serpent (cipher)

    Serpent_(cipher)

  • Deutsch–Jozsa algorithm
  • Deterministic quantum algorithm

    channel quantum network State purification Quantum teleportation quantum energy teleportation quantum gate teleportation Superdense coding Quantum cryptography

    Deutsch–Jozsa algorithm

    Deutsch–Jozsa_algorithm

  • Resident Evil – Code: Veronica
  • 2000 video game

    Alan (June 23, 2021). "'Resident Evil: Code Veronica' fan remake demo is now available". NME. NME Networks. Archived from the original on April 28,

    Resident Evil – Code: Veronica

    Resident_Evil_–_Code:_Veronica

  • Quantum error correction
  • Process in quantum computing

    classical counterpart, the classical error-correcting code. In classical coding theory, a code is commonly denoted by the notation [ n , k , d ] {\displaystyle

    Quantum error correction

    Quantum_error_correction

  • Concatenated error correction code
  • given technology. Shannon's channel coding theorem shows that over many common channels there exist channel coding schemes that are able to transmit data

    Concatenated error correction code

    Concatenated_error_correction_code

  • Philip N. Klein
  • American computer scientist

    maint: location missing publisher (link) Klein, Philip N. (2013). Coding the matrix: linear algebra through applications to computer science. [Newton, Mass

    Philip N. Klein

    Philip N. Klein

    Philip_N._Klein

  • Topological quantum computer
  • Type of quantum computer

    twists (logic circuits) to the topological quantum computer, in a simple linear relationship. In other words, a reasonable increase in elements (braid twists)

    Topological quantum computer

    Topological quantum computer

    Topological_quantum_computer

  • Grover's algorithm
  • Quantum search algorithm

    Implementing the steps for this algorithm can be done using a number of gates linear in the number of qubits. Thus, the gate complexity of this algorithm is

    Grover's algorithm

    Grover's_algorithm

  • Quantum supremacy
  • Computational benchmark

    computing paradigm based upon sending identical photons through a linear-optical network can solve certain sampling and search problems that, assuming a

    Quantum supremacy

    Quantum_supremacy

  • Capsule neural network
  • Type of artificial neural network

    rate-coded in the capsule's output vector. This shift from place-coding to rate-coding, combined with the fact that higher-level capsules represent more

    Capsule neural network

    Capsule_neural_network

  • RTP payload formats
  • Multimedia information signaling

    audio coding formats H. Schulzrinne; S. Casner; R. Frederick; V. Jacobson (July 2003). RTP: A Transport Protocol for Real-Time Applications. Network Working

    RTP payload formats

    RTP_payload_formats

  • Confusion and diffusion
  • Properties of the operation of a secure cipher

    Cryptography with Coding Theory. Second edition. Pearson Prentice Hall, 2006. Li, Chaoyun; Wang, Qingju (2017). "Design of Lightweight Linear Diffusion Layers

    Confusion and diffusion

    Confusion_and_diffusion

  • Deep learning
  • Branch of machine learning

    functions such as Kunihiko Fukushima's rectified linear unit.. In it was shown that the Random neural network is also a universal approximator for continuous

    Deep learning

    Deep learning

    Deep_learning

  • Qubit
  • Basic unit of quantum information

    circular polarization) can also be measured as horizontal and vertical linear polarization. In a classical system, a bit would have to be in one state

    Qubit

    Qubit

    Qubit

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