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CONTINUOUS OR-DISCRETE-VARIABLE

  • Continuous or discrete variable
  • Types of numerical variables in mathematics

    quantitative variable may be continuous or discrete. If it can take on two real values and all the values between them, the variable is continuous in that

    Continuous or discrete variable

    Continuous or discrete variable

    Continuous_or_discrete_variable

  • Discrete time and continuous time
  • Frameworks for modeling variables that evolve over time

    dynamics, discrete time and continuous time are two alternative frameworks within which variables that evolve over time are modeled. Discrete time views

    Discrete time and continuous time

    Discrete_time_and_continuous_time

  • Convolution
  • Integral expressing the amount of overlap of one function as it is shifted over another

    similar to cross-correlation: for real-valued functions, of a continuous or discrete variable, convolution f ∗ g {\displaystyle f*g} differs from cross-correlation

    Convolution

    Convolution

    Convolution

  • Probability distribution
  • Mathematical function for the probability a given outcome occurs in an experiment

    numbers), it is common to distinguish between discrete and continuous random variables. In the discrete case, it is sufficient to specify a probability mass

    Probability distribution

    Probability distribution

    Probability_distribution

  • Discretization
  • Conversion of continuous functions into discrete counterparts

    applied mathematics, discretization is the process of transferring continuous functions, models, variables, and equations into discrete counterparts. This

    Discretization

    Discretization

    Discretization

  • Spectrum (physical sciences)
  • Concept relating to waves and signals

    describe the evolution of some continuous variable (such as strain or pressure) as a function of time and/or space. Discrete spectra are also produced by

    Spectrum (physical sciences)

    Spectrum (physical sciences)

    Spectrum_(physical_sciences)

  • Random variable
  • Variable representing a random phenomenon

    discrete random variables and absolutely continuous random variables, corresponding to whether a random variable is valued in a countable subset or in

    Random variable

    Random variable

    Random_variable

  • Probability mass function
  • Discrete-variable probability distribution

    for either scalar or multivariate random variables whose domain is discrete. A probability mass function differs from a continuous probability density

    Probability mass function

    Probability mass function

    Probability_mass_function

  • Discrete
  • Topics referred to by the same term

    the discrete analog of ordinary spline interpolation Discrete time, non-continuous time, which results in discrete-time samples Discrete variable, non-continuous

    Discrete

    Discrete

  • Discrete Fourier series
  • Series in digital signal processing

    discrete Fourier series (DFS) is a Fourier series whose sinusoidal components are functions of a discrete variable instead of a continuous variable.

    Discrete Fourier series

    Discrete_Fourier_series

  • Latent variable model
  • Statistical model relating manifest and latent variables

    class analysis, the manifest variables are discrete. These variables could be dichotomous, ordinal or nominal variables. Their conditional distributions

    Latent variable model

    Latent_variable_model

  • Continuously variable transmission
  • Automotive transmission technology

    A continuously variable transmission (CVT) is an automatic transmission that can change through a continuous range of gear ratios, typically resulting

    Continuously variable transmission

    Continuously variable transmission

    Continuously_variable_transmission

  • Discrete Laplace operator
  • Analog of the continuous Laplace operator

    mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For

    Discrete Laplace operator

    Discrete_Laplace_operator

  • Discrete uniform distribution
  • Probability distribution on equally likely outcomes

    In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein each of some finite whole number

    Discrete uniform distribution

    Discrete uniform distribution

    Discrete_uniform_distribution

  • Variable valve lift
  • Automotive piston engine technology

    performance, fuel economy or emissions. There are two main types of VVL: discrete, which employs fixed valve lift amounts, and continuous, which is able to vary

    Variable valve lift

    Variable_valve_lift

  • Discretization of continuous features
  • learning, discretization refers to the process of converting or partitioning continuous attributes, features or variables to discretized or nominal

    Discretization of continuous features

    Discretization_of_continuous_features

  • Special ordered set
  • Special case of discrete optimization

    may be continuous or discrete variables in any combination. However, even when all the members are themselves continuous, a model containing one or more

    Special ordered set

    Special_ordered_set

  • Probability theory
  • Branch of mathematics concerning probability

    event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which

    Probability theory

    Probability theory

    Probability_theory

  • Fourier analysis
  • Branch of mathematics

    Whether the input function’s domain is continuous or discrete, and Whether the input function is periodic or aperiodic in its domain. The fifth variant

    Fourier analysis

    Fourier analysis

    Fourier_analysis

  • List of probability distributions
  • definition of random variable. This is useful because it puts deterministic variables and random variables in the same formalism. The discrete uniform distribution

    List of probability distributions

    List_of_probability_distributions

  • Variable valve timing
  • Process of altering the timing of a valve lift event

    switching can also provide variable valve lift and variable duration, however the adjustment is discrete rather than continuous. The first production use

    Variable valve timing

    Variable valve timing

    Variable_valve_timing

  • Continuous simulation
  • Computer model of a physical system that continuously tracks system response

    continuous or discrete. Continuous dynamic systems (like physical systems with material objects moving in space) are characterized by state variables the values

    Continuous simulation

    Continuous_simulation

  • Continuous optimization
  • Branch of optimization in applied mathematics

    Continuous optimization is a branch of optimization in applied mathematics. As opposed to discrete optimization, the variables used in the objective function

    Continuous optimization

    Continuous_optimization

  • Markov chain
  • Random process independent of past history

    chain moves state at discrete time steps, gives a discrete-time Markov chain (DTMC). A continuous-time process is called a continuous-time Markov chain (CTMC)

    Markov chain

    Markov chain

    Markov_chain

  • Probability density function
  • Description of continuous random distribution

    probability density function (PDF), density function, or simply density of an absolutely continuous random variable, is a function whose value at any given point

    Probability density function

    Probability density function

    Probability_density_function

  • Signal
  • Varying physical quantity that conveys information

    is between discrete and continuous spaces that the functions are defined over, for example, discrete and continuous-time domains. Discrete-time signals

    Signal

    Signal

    Signal

  • Discrete mathematics
  • Study of discrete mathematical structures

    Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a one-to-one

    Discrete mathematics

    Discrete mathematics

    Discrete_mathematics

  • Continuous uniform distribution
  • Uniform distribution on an interval

    In probability theory and statistics, the continuous uniform distributions or rectangular distributions are a family of symmetric probability distributions

    Continuous uniform distribution

    Continuous uniform distribution

    Continuous_uniform_distribution

  • Discrete-event dynamic system
  • asynchronous discrete events over time. Although similar to continuous-variable dynamic systems (CVDS), DEDS consists solely of discrete state spaces

    Discrete-event dynamic system

    Discrete-event_dynamic_system

  • Discrete-time Fourier transform
  • Fourier analysis technique applied to sequences

    to analyze samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data, often samples whose

    Discrete-time Fourier transform

    Discrete-time_Fourier_transform

  • Discrete-event simulation
  • Type of simulation

    A discrete-event simulation (DES) models the operation of a system as a (discrete) sequence of events in time. Each event occurs at a particular instant

    Discrete-event simulation

    Discrete-event_simulation

  • Univariate (statistics)
  • Type of data measuring one attribute

    interval or ratio scale of measurement. This type of univariate data can be classified even further into two subcategories: discrete and continuous. Numerical

    Univariate (statistics)

    Univariate_(statistics)

  • Cumulative distribution function
  • Probability that random variable X is less than or equal to x

    than or equal to x {\displaystyle x} . Every probability distribution supported on the real numbers, discrete or "mixed" as well as continuous, is uniquely

    Cumulative distribution function

    Cumulative distribution function

    Cumulative_distribution_function

  • Continuous-time stochastic process
  • the index variable takes a continuous set of values, as contrasted with a discrete-time process for which the index variable takes only distinct values

    Continuous-time stochastic process

    Continuous-time_stochastic_process

  • Joint probability distribution
  • Type of probability distribution

    density function (in the case of continuous variables) or joint probability mass function (in the case of discrete variables). These in turn can be used to

    Joint probability distribution

    Joint probability distribution

    Joint_probability_distribution

  • Entropy (information theory)
  • Average uncertainty in variable's states

    the state of the variable, considering the distribution of probabilities across all potential states. Given a discrete random variable X {\displaystyle

    Entropy (information theory)

    Entropy_(information_theory)

  • Fourier transform
  • Mathematical transform that expresses a function of time as a function of frequency

    consider both functions of a continuous variable, ⁠ f ( x ) {\displaystyle f(x)} ⁠, and functions of a discrete variable (i.e. ordered pairs of x {\displaystyle

    Fourier transform

    Fourier transform

    Fourier_transform

  • Law of the unconscious statistician
  • Theorem in probability and statistics

    without modification if X is a discrete random vector or even a discrete random element. The case of a continuous random variable is more subtle, since the

    Law of the unconscious statistician

    Law_of_the_unconscious_statistician

  • Discrete optimization
  • Branch of mathematical optimization

    Discrete optimization is a branch of optimization in applied mathematics and computer science. As opposed to continuous optimization, some or all of the

    Discrete optimization

    Discrete_optimization

  • Optimization problem
  • Problem of finding the best feasible solution

    depending on whether the variables are continuous or discrete: An optimization problem with discrete variables is known as a discrete optimization, in which

    Optimization problem

    Optimization_problem

  • Geometric distribution
  • Probability distribution

    distribution, there are also two definitions of memorylessness for discrete random variables. Expressed in terms of conditional probability, the two definitions

    Geometric distribution

    Geometric distribution

    Geometric_distribution

  • Outline of discrete mathematics
  • Overview of and topical guide to discrete mathematics

    Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that

    Outline of discrete mathematics

    Outline_of_discrete_mathematics

  • Discrete Fourier transform
  • Function in discrete mathematics

    In mathematics, the discrete Fourier transform (DFT) is a discrete version of the Fourier transform that converts a finite sequence of numbers into another

    Discrete Fourier transform

    Discrete Fourier transform

    Discrete_Fourier_transform

  • Differential entropy
  • Concept in information theory

    that this procedure suggests that the entropy in the discrete sense of a continuous random variable should be ∞ {\displaystyle \infty } . Information entropy

    Differential entropy

    Differential_entropy

  • Stochastic simulation
  • Computer simulation with random inputs

    potential outcome of a random variable. Limits the outcomes where the variable can only take on discrete values. A random variable X is Bernoulli-distributed

    Stochastic simulation

    Stochastic_simulation

  • Univariate distribution
  • Probability distribution of only one random variable

    whether the random variable is discrete or continuous. The probability mass function gives the probability that a discrete random variable is equal to a specific

    Univariate distribution

    Univariate_distribution

  • Categorical variable
  • Variable capable of taking on a limited number of possible values

    specified. Discretization is treating continuous data as if it were categorical. Dichotomization is treating continuous data or polytomous variables as if

    Categorical variable

    Categorical_variable

  • State variable
  • Quantity used to describe the mathematical state of a dynamical system

    A state variable is one of the set of mathematical variables that are used to describe the "state" of a system, e.g. of a dynamical system or a thermodynamical

    State variable

    State_variable

  • Conditional expectation
  • Expected value of a random variable given that certain conditions are known to occur

    Conditioning on a continuous random variable is not the same as conditioning on the event { Y = y } {\displaystyle \{Y=y\}} as it was in the discrete case. For

    Conditional expectation

    Conditional_expectation

  • Discrete ordinates method
  • of discrete ordinates, or the Sn method, is one way to approximately solve the RTE by discretizing both the xyz-domain and the angular variables that

    Discrete ordinates method

    Discrete_ordinates_method

  • Discrete choice
  • Choice between two or more discrete alternatives

    "how much" as in problems with continuous choice variables, discrete choice analysis examines "which one". However, discrete choice analysis can also be

    Discrete choice

    Discrete_choice

  • List of Fourier-related transforms
  • function has finite duration, the Fourier transform is continuous and finite-valued. But a discrete subset of its values is sufficient to reconstruct/represent

    List of Fourier-related transforms

    List_of_Fourier-related_transforms

  • Continuous-time Markov chain
  • Probability concept

    the discrete metric, so that we can make sense of right continuity of functions R ≥ 0 → S {\displaystyle \mathbb {R} _{\geq 0}\to S} . A continuous-time

    Continuous-time Markov chain

    Continuous-time_Markov_chain

  • Zero to the power of zero
  • Mathematical expression with disputed status

    \end{aligned}}} Thus, the two-variable function xy, though continuous on the set {(x, y) : x > 0}, cannot be extended to a continuous function on {(x, y) : x

    Zero to the power of zero

    Zero_to_the_power_of_zero

  • Bang–bang control
  • Binary feedback controller

    Retrieved 2022-01-25. Artstein, Zvi (1980). "Discrete and continuous bang-bang and facial spaces, or: Look for the extreme points". SIAM Review. 22

    Bang–bang control

    Bang–bang control

    Bang–bang_control

  • Continuous-variable quantum information
  • Continuous (non-quantized) quantities in quantum information science

    Continuous-variable (CV) quantum information is the area of quantum information science that makes use of physical observables, like the strength of an

    Continuous-variable quantum information

    Continuous-variable_quantum_information

  • Discrete calculus
  • Discrete (i.e., incremental) version of infinitesimal calculus

    originally called infinitesimal calculus or "the calculus of infinitesimals", is the study of continuous change. Discrete calculus has two entry points, differential

    Discrete calculus

    Discrete_calculus

  • Limiting density of discrete points
  • Notion in information theory

    {\displaystyle N} is large enough that the continuous approximation is valid) is the discrete entropy of the variable x {\displaystyle x} in this encoding.

    Limiting density of discrete points

    Limiting_density_of_discrete_points

  • Mountain car problem
  • Standard testing domain in Reinforced learning

    categories, state space discretization or function approximation. In this approach, two continuous state variables are pushed into discrete states by bucketing

    Mountain car problem

    Mountain car problem

    Mountain_car_problem

  • Law of total probability
  • Concept in probability theory

    is a special case of the law of total probability applying to discrete random variables.[citation needed] One author uses the terminology of the "Rule

    Law of total probability

    Law of total probability

    Law_of_total_probability

  • Stochastic process
  • Collection of random variables

    results in collections of random variables known as Markov random fields. A martingale is a discrete-time or continuous-time stochastic process with the

    Stochastic process

    Stochastic process

    Stochastic_process

  • Logistic map
  • Simple polynomial map exhibiting chaotic behavior

    The logistic map is a discrete dynamical system defined by the quadratic difference equation It is a recurrence relation and a polynomial mapping of degree 2

    Logistic map

    Logistic map

    Logistic_map

  • Convolution theorem
  • Theorem in mathematics

    of a random variable An example is the MATLAB function, hilbert(u,N). McGillem, Clare D.; Cooper, George R. (1984). Continuous and Discrete Signal and

    Convolution theorem

    Convolution_theorem

  • Marginal stability
  • Dynamical system which is neither asymptotically stable nor unstable

    independent variables upon a dependent variable, unless appropriate techniques are used to convert the system to a stable system. A homogeneous continuous linear

    Marginal stability

    Marginal_stability

  • Discrete Weibull distribution
  • Probability distribution

    1975, it is a discrete analog of the continuous Weibull distribution. It models primarily random variables concerning time to failure or time between events

    Discrete Weibull distribution

    Discrete_Weibull_distribution

  • Continuous stochastic process
  • Stochastic process that is a continuous function of time or index parameter

    process is a continuous variable. Some authors define a "continuous (stochastic) process" as only requiring that the index variable be continuous, without

    Continuous stochastic process

    Continuous_stochastic_process

  • Variance
  • Statistical measure of how far values spread from their average

    This definition encompasses random variables that are generated by processes that are discrete, continuous, neither, or mixed. The variance can also be thought

    Variance

    Variance

    Variance

  • Zak transform
  • Mathematical operation

    real valued or complex-valued, defined on a continuous set (for example, the real numbers) or a discrete set (for example, the integers or a finite subset

    Zak transform

    Zak_transform

  • Statistical data type
  • Taxonomy of statistical data elements

    categorical variables, whereas ratio and interval measurements are grouped together as quantitative variables, which can be either discrete or continuous, due

    Statistical data type

    Statistical_data_type

  • Automotive acronyms and abbreviations
  • stability control DVVL: Discrete variable valve lift DVVLd: Discrete variable valve lift, includes dual cam phasing DVVLi: Discrete variable valve lift, includes

    Automotive acronyms and abbreviations

    Automotive_acronyms_and_abbreviations

  • Continuous function
  • Mathematical function with no sudden changes

    functions is usually defined in terms of limits. A function f with variable x is continuous at the real number c if the limit of f ( x ) , {\displaystyle f(x)

    Continuous function

    Continuous_function

  • Distributed parameter system
  • System with an infinite-dimensional state-space

    transfer function is defined through the Laplace transform (continuous-time) or Z-transform (discrete-time). Whereas in the finite-dimensional case the transfer

    Distributed parameter system

    Distributed_parameter_system

  • Partition function (statistical mechanics)
  • Function in thermodynamics and statistical physics

    the context is classical mechanics or quantum mechanics, and whether the spectrum of states is discrete or continuous.[citation needed] For a canonical

    Partition function (statistical mechanics)

    Partition function (statistical mechanics)

    Partition_function_(statistical_mechanics)

  • Markov decision process
  • Mathematical model for sequential decision making under uncertainty

    a set of states called the state space. The state space may be discrete or continuous, like the set of real numbers. A {\displaystyle A} is a set of actions

    Markov decision process

    Markov_decision_process

  • Catalog of articles in probability theory
  • random variables involved and the type of the distribution. For example (2:DC) indicates a distribution with two random variables, discrete or continuous. Other

    Catalog of articles in probability theory

    Catalog_of_articles_in_probability_theory

  • DEVS
  • Concept within modeling and systems analysis

    transition tables, and continuous state systems which might be described by differential equations, and hybrid continuous state and discrete event systems. DEVS

    DEVS

    DEVS

  • Information dimension
  • Term in information theory

    rate for continuous, discrete, and discrete-continuous mixed distribution. Furthermore, it is calculable for a set of singular random variables, while d-dimensional

    Information dimension

    Information_dimension

  • Hidden Markov model
  • Statistical Markov model

    variables is discrete, while the observations themselves can either be discrete (typically generated from a categorical distribution) or continuous (typically

    Hidden Markov model

    Hidden_Markov_model

  • Hopfield network
  • Form of artificial neural network

    defined by a time-dependent variable V i {\displaystyle V_{i}} , which can be chosen to be either discrete or continuous. A complete model describes the

    Hopfield network

    Hopfield_network

  • Mode (statistics)
  • Value that appears most often in a set of data

    value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function

    Mode (statistics)

    Mode_(statistics)

  • Variable (mathematics)
  • Symbol representing a mathematical object

    (and therefore a discrete variable), while the other three, P, V and T, for pressure, volume and temperature, are continuous variables. One could rearrange

    Variable (mathematics)

    Variable_(mathematics)

  • Stochastic control
  • Probabilistic optimal control

    despite the presence of this noise. The context may be either discrete time or continuous time. An extremely well-studied formulation in stochastic control

    Stochastic control

    Stochastic_control

  • Discrete-stable distribution
  • Discrete-stable distributions are a class of probability distributions with the property that the sum of several random variables from such a distribution

    Discrete-stable distribution

    Discrete-stable_distribution

  • White noise
  • Type of signal in signal processing

    band. In discrete time, white noise is a discrete signal whose samples are regarded as a sequence of serially uncorrelated random variables with a mean

    White noise

    White noise

    White_noise

  • Discrete phase-type distribution
  • Type of probability distribution

    The discrete phase-type distribution is a probability distribution that results from a system of one or more inter-related geometric distributions occurring

    Discrete phase-type distribution

    Discrete_phase-type_distribution

  • Binary data
  • Data whose unit can take on only two possible states

    an information (a number or anything else) that requires 3k decimal digits, so information contained in discrete variables with 3, 4, 5, 6, 7, 8, 9,

    Binary data

    Binary_data

  • Dynamical system
  • Mathematical model of the time dependence of a point in space

    properties are whether the system is discrete, continuous, differentiable, smooth, deterministic, ergodic, stochastic or chaotic. If the system can be solved

    Dynamical system

    Dynamical system

    Dynamical_system

  • Conditional probability distribution
  • Probability theory and statistics concept

    is the conditional joint distribution of the included variables. For discrete random variables, the conditional probability mass function of Y {\displaystyle

    Conditional probability distribution

    Conditional_probability_distribution

  • Hybrid system
  • Dynamical system that exhibits continuous and discrete dynamic behavior

    values of the continuous variables and a discrete mode. The state changes either continuously, according to a flow condition, or discretely according to

    Hybrid system

    Hybrid_system

  • Discrete rate simulation
  • Discrete rate simulation combines the event-based timing of discrete event simulation and the continuous variables calculations found in continuous simulation

    Discrete rate simulation

    Discrete_rate_simulation

  • Bar chart
  • Type of chart

    graphs present bars clustered or stacked in groups of more than one, showing the values of more than one measured variable. Many sources consider William

    Bar chart

    Bar chart

    Bar_chart

  • Maximum likelihood estimation
  • Method of estimating the parameters of a statistical model, given observations

    discussed above. It may be the case that variables are correlated, or more generally, not independent. Two random variables y 1 {\displaystyle y_{1}} and y 2

    Maximum likelihood estimation

    Maximum_likelihood_estimation

  • Signal processing
  • Field of electrical engineering

    processing is the processing of digitized discrete-time sampled signals. Processing is done by general-purpose computers or by digital circuits such as ASICs

    Signal processing

    Signal processing

    Signal_processing

  • Relationships among probability distributions
  • Topic in probability theory and statistics

    α) random variable. If X is a binomial (n, p) random variable then (n − X) is a binomial (n, 1 − p) random variable. If X follows a continuous uniform distribution

    Relationships among probability distributions

    Relationships among probability distributions

    Relationships_among_probability_distributions

  • Probability space
  • Mathematical concept

    However, non-discrete conditioning is easy and natural on standard probability spaces, otherwise it becomes obscure. A random variable X is a measurable

    Probability space

    Probability space

    Probability_space

  • Non-uniform random variate generation
  • Generating pseudo-random numbers that follow a probability distribution

    [citation needed] published by John von Neumann in the early 1950s. For a discrete probability distribution with a finite number n of indices at which the

    Non-uniform random variate generation

    Non-uniform_random_variate_generation

  • Mutual information
  • Measure of dependence between two variables

    that a variable contains at least as much information about itself as any other variable can provide. For jointly discrete or jointly continuous pairs

    Mutual information

    Mutual information

    Mutual_information

  • Z-transform
  • Linear transform from the time domain to the frequency domain

    calculus. While the continuous-time Fourier transform is evaluated on the s-domain's vertical axis (the imaginary axis), the discrete-time Fourier transform

    Z-transform

    Z-transform

  • Quantum walk
  • Quantum variations of random walks

    classical random walks, quantum walks admit formulations in both discrete time and continuous time. Quantum walks are motivated by the widespread use of classical

    Quantum walk

    Quantum_walk

  • State-space representation
  • Mathematical model of a system in control engineering

    time invariant. The time variable t {\displaystyle t} can be continuous (e.g. t ∈ R {\displaystyle t\in \mathbb {R} } ) or discrete (e.g. t ∈ Z {\displaystyle

    State-space representation

    State-space_representation

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